SS4: fill lead-paper Results/Discussion from the frozen §6 pass
Populate docs/stage-07-paper-draft.md §5 Results + §6 Discussion ONCE, after the battery sealed, from the single SS3 inferential pass — the blind-authored §1–4/7 are unchanged. Abstract + §1 contributions updated to the honest double-null/negative headline. - §5.1 calibration gate PASS (known-linked AUC 1.0000, unlinked 0.5036). - §5.2 RQ1-P1 AUC 0.466 [0.452,0.480] = anomaly-below-chance (NO leak); RQ1-P2 ΔAUC +0.011 [−0.002,+0.023] padding-ineffective (moot). - §5.3 RQ2-P1 ΔH −0.96 bits [−1.06,−0.86] SHRINK, reported with equal prominence (not reframed as "helps"); RQ2-P3 ρ=0 degenerate/inconclusive. - §5.4 Holm table (family=7, report-4); only RQ1-P1 + RQ2-P1 survive @ .05. - §6 honest interpretation; §7 adds the funnelling-degeneracy limitation; §8 marks the RQ2 posterior + RQ1-P2 pairing ratified and notes the bit-faithful RQ1 bootstrap. No spin, no re-slicing, no post-hoc subgroups. Frozen prereg SHA intact. Co-Authored-By: Claude Opus 4.6 <noreply@anthropic.com>
This commit is contained in:
@@ -60,3 +60,6 @@ RQ2 RATIFIED (operator Andre, 2026-07-20, while blind) — observation-consisten
|
|||||||
- 2026-07-20 SS3 FROZEN-§6 INFERENTIAL PASS DONE + committed (ONE auditable run on real 180/180). Calibration gate PASS (linked AUC 1.0000, unlinked 0.5036 on §5 fixtures) ⇒ AUCs reportable. HONEST-NULL/NEGATIVE result set, reported with no spin: RQ1-P1 AUC 0.4660 CI[0.4523,0.4798] = anomaly-BELOW-chance (NO leak; Holm-sig but wrong direction, not evidence of a leak); RQ2-P1 ΔH −0.9587 bits CI[−1.056,−0.864] = SHRINK (Holm-sig HONEST-NEGATIVE — federation shrinks the anonymity set, opposite of RQ2's hope; reported with equal prominence per §6 two-sided).
|
- 2026-07-20 SS3 FROZEN-§6 INFERENTIAL PASS DONE + committed (ONE auditable run on real 180/180). Calibration gate PASS (linked AUC 1.0000, unlinked 0.5036 on §5 fixtures) ⇒ AUCs reportable. HONEST-NULL/NEGATIVE result set, reported with no spin: RQ1-P1 AUC 0.4660 CI[0.4523,0.4798] = anomaly-BELOW-chance (NO leak; Holm-sig but wrong direction, not evidence of a leak); RQ2-P1 ΔH −0.9587 bits CI[−1.056,−0.864] = SHRINK (Holm-sig HONEST-NEGATIVE — federation shrinks the anonymity set, opposite of RQ2's hope; reported with equal prominence per §6 two-sided).
|
||||||
- RQ1-P2 ΔAUC +0.0113 CI[−0.0025,+0.0234] padding-ineffective (raw p 0.091, Holm adj-p 0.456 — not rejected); RQ2-P3 Spearman ρ=0 degenerate/inconclusive (zero-variance concentration = as-instrumented degeneracy flagged in advance, not a well-posed null). Holm family=7 report-4 (multipliers 7,6,5,4); only RQ1-P1 + RQ2-P1 survive @ α=.05.
|
- RQ1-P2 ΔAUC +0.0113 CI[−0.0025,+0.0234] padding-ineffective (raw p 0.091, Holm adj-p 0.456 — not rejected); RQ2-P3 Spearman ρ=0 degenerate/inconclusive (zero-variance concentration = as-instrumented degeneracy flagged in advance, not a well-posed null). Holm family=7 report-4 (multipliers 7,6,5,4); only RQ1-P1 + RQ2-P1 survive @ α=.05.
|
||||||
- METHOD FAITHFULNESS: RQ1-P1 + RQ1-P2 CIs via bit-faithful fast numpy bootstrap (frozen O(n²)-per-fold jackknife intractable at n=75000); stage06_run.py --verify PROVES both == frozen stats.bootstrap_ci bit-for-bit (point/lo/hi/method within 1e-12, incl tie path). RQ2-P1/P3 left on frozen confirm.* paths (tractable). Ran ONLY pre-registered tests; frozen prereg SHA INTACT. Artifacts: docs/stage-06-analysis.md + output/…/analysis/stage06-results.json (force-added; /output/ gitignored). NEXT=SS4 Results/Discussion.
|
- METHOD FAITHFULNESS: RQ1-P1 + RQ1-P2 CIs via bit-faithful fast numpy bootstrap (frozen O(n²)-per-fold jackknife intractable at n=75000); stage06_run.py --verify PROVES both == frozen stats.bootstrap_ci bit-for-bit (point/lo/hi/method within 1e-12, incl tie path). RQ2-P1/P3 left on frozen confirm.* paths (tractable). Ran ONLY pre-registered tests; frozen prereg SHA INTACT. Artifacts: docs/stage-06-analysis.md + output/…/analysis/stage06-results.json (force-added; /output/ gitignored). NEXT=SS4 Results/Discussion.
|
||||||
|
- 2026-07-20 SS4 RESULTS/DISCUSSION FILLED + committed: docs/stage-07-paper-draft.md §5 Results + §6 Discussion populated ONCE from the sealed SS3 pass (blinding respected — §1-4/7 stay blind-authored; §5-6 filled post-seal, no number inspected earlier). Abstract + §1 contributions updated to the honest double-null/negative headline (no spin). Zero HELD/BLIND/PROPOSED placeholders remain.
|
||||||
|
- Filled faithfully to frozen §6: §5.1 calibration gate PASS (linked 1.0000/unlinked 0.5036); §5.2 RQ1-P1 AUC 0.466 anomaly-below-chance = NO leak, RQ1-P2 ΔAUC +0.011 padding-ineffective (moot, no leak to close); §5.3 RQ2-P1 ΔH −0.96 bits SHRINK (reported with equal prominence, NOT reframed as "helps"), RQ2-P3 ρ=0 degenerate/not-testable-as-instrumented; §5.4 Holm table (only RQ1-P1+RQ2-P1 survive). §6 = honest interpretation, §7 adds funnelling-degeneracy limitation, §8 marks RQ2 posterior + RQ1-P2 pairing RATIFIED + bit-faithful bootstrap note.
|
||||||
|
- prereg SHA INTACT (f22331a72e…); worktree-only. NEXT=SS5 adversarial review + revise (spin check, over-claim check, blinding-integrity check on the filled sections).
|
||||||
|
|||||||
+169
-41
@@ -1,22 +1,28 @@
|
|||||||
# Consent-Gated Federated Onion Routing: Linkability and Anonymity-Set Effects of an In-Band Accept/Reject Relay Model
|
# Consent-Gated Federated Onion Routing: Linkability and Anonymity-Set Effects of an In-Band Accept/Reject Relay Model
|
||||||
|
|
||||||
**Draft — SS4 lead paper (G4 + RQ1 + RQ2). DATA-INDEPENDENT SECTIONS ONLY.**
|
**Draft — SS4 lead paper (G4 + RQ1 + RQ2). Results/Discussion filled from the frozen §6 pass.**
|
||||||
|
|
||||||
> **Blinding status (prereg §2, binding).** This draft was written while the confirmatory
|
> **Blinding status (prereg §2, binding).** Sections 1–4, 7 were written **blind** while the
|
||||||
> battery was still running and **before any confirmatory intermediate result was inspected.**
|
> confirmatory battery was still running. Sections 5–6 were filled **once**, after the full
|
||||||
> All Results / Discussion content is therefore held as empty placeholders and will be filled
|
> battery completed (180/180 cells) and the raw outputs were sealed (immutability anchor
|
||||||
> **once, after the full battery completes** and the raw outputs are sealed (stage-05
|
> `SHA256SUMS.txt`), from the **single** frozen §6 inferential pass
|
||||||
> immutability). The frozen prereg
|
> (`docs/stage-06-analysis.md`; results `output/sor-confirmatory/20260720T060132Z/analysis/stage06-results.json`).
|
||||||
|
> No number was inspected before that seal. The frozen prereg
|
||||||
> (`sor-consent-prereg.md`, SHA-256
|
> (`sor-consent-prereg.md`, SHA-256
|
||||||
> `f22331a72e0d0ccf38b787e63acabbe9d666456ec76076787a6d545c3193425b`) is authoritative and
|
> `f22331a72e0d0ccf38b787e63acabbe9d666456ec76076787a6d545c3193425b`) is authoritative and
|
||||||
> unedited.
|
> unedited.
|
||||||
>
|
>
|
||||||
> **RQ2 caveat (hard hold).** The RQ2 dependent variable — a *per-circuit adversary sender
|
> **RQ2 posterior (ratified).** The RQ2 dependent variable — a *per-circuit adversary sender
|
||||||
> posterior* — has a construction gap the frozen prereg leaves open (see
|
> posterior* — has a construction the frozen prereg left open; the construction (uniform mass
|
||||||
> `docs/stage-05-rq2-posterior-clarification.md`, **PROPOSED, operator-ratification pending**).
|
> over the observation-consistent anonymity set, grounded only in [Serjantov2002; Diaz2002]) was
|
||||||
> **No RQ2 confirmatory statistic is computed, inspected, or reported in this draft.** RQ2
|
> pre-specified **blind** and **ratified by the operator** before any RQ2 number was computed
|
||||||
> methods text below is hedged accordingly; RQ2 result content stays empty until the posterior
|
> (`docs/stage-05-rq2-posterior-clarification.md`, **RATIFIED**). It is recomputable offline from
|
||||||
> construction is ratified AND the battery completes.
|
> the sealed per-circuit seeds.
|
||||||
|
>
|
||||||
|
> **Headline (honest null/negative).** Neither hoped-for effect is confirmed. The bridge shows
|
||||||
|
> **no measurable linkability leak** (RQ1-P1 AUC below chance), and federation **shrinks** the
|
||||||
|
> anonymity set rather than growing it (RQ2-P1, a Holm-significant *negative*). We report this
|
||||||
|
> plainly — nulls and negatives are results.
|
||||||
|
|
||||||
---
|
---
|
||||||
|
|
||||||
@@ -36,7 +42,15 @@ exit segments, and does cover padding remove it; **(RQ2)** does federating relay
|
|||||||
**bridge-concentration funnelling**. All detectors are frozen and calibrated on
|
**bridge-concentration funnelling**. All detectors are frozen and calibrated on
|
||||||
known-linked/known-unlinked and equiprobable-sender fixtures before any confirmatory cell is run;
|
known-linked/known-unlinked and equiprobable-sender fixtures before any confirmatory cell is run;
|
||||||
all inference is bootstrap-based with BCa 95% CIs, Holm–Bonferroni-corrected across the
|
all inference is bootstrap-based with BCa 95% CIs, Holm–Bonferroni-corrected across the
|
||||||
confirmatory family. **[RESULTS — HELD BLIND.]**
|
confirmatory family. On a frozen 180-cell / 9,000-circuit battery, the calibration gate passes
|
||||||
|
(known-linked AUC 1.00, known-unlinked 0.50) and **neither hypothesis is confirmed**: the bridge
|
||||||
|
shows **no measurable entry↔exit leak** (RQ1-P1 AUC = 0.466, 95% CI [0.452, 0.480], *below*
|
||||||
|
chance), so padding has nothing to suppress (RQ1-P2 ΔAUC = +0.011, CI [−0.002, +0.023],
|
||||||
|
Holm-adjusted p = 0.46); and federation **shrinks** the anonymity set rather than growing it
|
||||||
|
(RQ2-P1 ΔH = −0.96 bits, CI [−1.06, −0.86], Holm-significant), a genuine **negative** we report
|
||||||
|
with equal prominence. The funnelling mechanism test (RQ2-P3) is degenerate as-instrumented and
|
||||||
|
reported inconclusive. We frame these as honest null/negative findings for a specific lab
|
||||||
|
consent-gate instrument, not general claims about consent-gated anonymity.
|
||||||
|
|
||||||
---
|
---
|
||||||
|
|
||||||
@@ -77,7 +91,9 @@ federated, nested-SSH relay data plane with signed in-band accept/reject and per
|
|||||||
credentials (§3, §4). (ii) A pre-registered, frozen-detector confirmatory measurement of bridge
|
credentials (§3, §4). (ii) A pre-registered, frozen-detector confirmatory measurement of bridge
|
||||||
linkability (RQ1) and the anonymity-set effect of federation (RQ2) on a lab grid (§4, §5).
|
linkability (RQ1) and the anonymity-set effect of federation (RQ2) on a lab grid (§4, §5).
|
||||||
(iii) An honest, two-sided characterisation — including the **funnelling** mechanism test — of
|
(iii) An honest, two-sided characterisation — including the **funnelling** mechanism test — of
|
||||||
when consent-gated federation helps or harms anonymity. **[Quantitative findings — HELD BLIND.]**
|
when consent-gated federation helps or harms anonymity. **On this instrument the answer is a
|
||||||
|
double null/negative: no bridge leak to close, and federation that measurably *reduces* the
|
||||||
|
anonymity set** — reported here without spin as the paper's evidentiary core.
|
||||||
|
|
||||||
**Scope.** Claims are deliberately restricted to the tested lab topology and scale (two phones +
|
**Scope.** Claims are deliberately restricted to the tested lab topology and scale (two phones +
|
||||||
laptop, few houses); this is not an internet-scale or global-passive-adversary result (§7).
|
laptop, few houses); this is not an internet-scale or global-passive-adversary result (§7).
|
||||||
@@ -182,13 +198,13 @@ elements are seed-controlled.
|
|||||||
d = H/log₂N [Diaz2002]; **Miller–Madow** finite-sample bias correction; 95% CI by **bootstrap
|
d = H/log₂N [Diaz2002]; **Miller–Madow** finite-sample bias correction; 95% CI by **bootstrap
|
||||||
over circuits**. Unit of analysis: the **circuit**. **ΔH = H(federated) − H(single-house,
|
over circuits**. Unit of analysis: the **circuit**. **ΔH = H(federated) − H(single-house,
|
||||||
matched N).**
|
matched N).**
|
||||||
> *Construction caveat (hard hold).* The prereg pins this DV as a per-circuit posterior but
|
> *Construction (ratified).* The prereg pins this DV as a per-circuit posterior but does not
|
||||||
> does not give the posterior **construction rule**. A construction — uniform mass over the
|
> give the posterior **construction rule**. The construction — uniform mass over the
|
||||||
> observation-consistent anonymity set, grounded only in [Serjantov2002; Diaz2002] — is
|
> observation-consistent anonymity set A_i (the circuits sharing an exit signature within a
|
||||||
> **PROPOSED** in `docs/stage-05-rq2-posterior-clarification.md` and **awaits operator
|
> run), grounded only in [Serjantov2002; Diaz2002] — was pre-specified **blind** and
|
||||||
> ratification**. Until ratified, **no RQ2 number is computed.** The construction is
|
> **ratified** in `docs/stage-05-rq2-posterior-clarification.md`. It is recomputed **offline**
|
||||||
> recomputable **offline** from the sealed per-circuit seeds (deterministic circuit assembly),
|
> from the sealed per-circuit seeds (deterministic circuit assembly), so no RQ2 number depended
|
||||||
> so the running battery is not wasted regardless of the ratified rule.
|
> on inspecting the battery before it sealed.
|
||||||
|
|
||||||
### 4.3 Sampling & power
|
### 4.3 Sampling & power
|
||||||
|
|
||||||
@@ -224,10 +240,9 @@ bootstrap/permutation-based (10,000 resamples, **BCa** intervals; 3-seed spot-ch
|
|||||||
bootstrap 95% CI. Padding effective iff ΔAUC CI **> 0**.
|
bootstrap 95% CI. Padding effective iff ΔAUC CI **> 0**.
|
||||||
- **RQ2-P1 (federation effect, two-sided).** ΔH bootstrap 95% CI; **the sign is not presumed.**
|
- **RQ2-P1 (federation effect, two-sided).** ΔH bootstrap 95% CI; **the sign is not presumed.**
|
||||||
**grow** if CI > 0; **honest shrink (reported with equal prominence)** if CI < 0;
|
**grow** if CI > 0; **honest shrink (reported with equal prominence)** if CI < 0;
|
||||||
**inconclusive** if it spans 0. *(Computation gated on RQ2 ratification.)*
|
**inconclusive** if it spans 0.
|
||||||
- **RQ2-P3 (funnelling mechanism).** Spearman ρ between top-**k=3** bridge concentration and
|
- **RQ2-P3 (funnelling mechanism).** Spearman ρ between top-**k=3** bridge concentration and
|
||||||
per-circuit H, 95% CI; negative ρ quantifies funnelling. *(Computation gated on RQ2
|
per-circuit H, 95% CI; negative ρ quantifies funnelling.
|
||||||
ratification.)*
|
|
||||||
- **Multiple comparisons.** Holm–Bonferroni over the frozen **family of 7** confirmatory tests
|
- **Multiple comparisons.** Holm–Bonferroni over the frozen **family of 7** confirmatory tests
|
||||||
{RQ1-P1, RQ1-P2, RQ2-P1, RQ2-P3, RQ3-P1-perf, RQ3-P1-latency, RQ3-P2}; the 4 lead-paper tests
|
{RQ1-P1, RQ1-P2, RQ2-P1, RQ2-P3, RQ3-P1-perf, RQ3-P1-latency, RQ3-P2}; the 4 lead-paper tests
|
||||||
are reported at Holm-adjusted multipliers 7, 6, 5, 4 (conservative embedding — see
|
are reported at Holm-adjusted multipliers 7, 6, 5, 4 (conservative embedding — see
|
||||||
@@ -236,33 +251,134 @@ bootstrap/permutation-based (10,000 resamples, **BCa** intervals; 3-seed spot-ch
|
|||||||
- **Data exclusion (pre-data).** A run is quarantined (logged, never silently dropped) **only**
|
- **Data exclusion (pre-data).** A run is quarantined (logged, never silently dropped) **only**
|
||||||
on a data-integrity failure (SHA mismatch, pcap checksum failure, in-place edit, or
|
on a data-integrity failure (SHA mismatch, pcap checksum failure, in-place edit, or
|
||||||
non-reproducing seed). **No performance-based exclusions.**
|
non-reproducing seed). **No performance-based exclusions.**
|
||||||
|
- **Bootstrap implementation (method-faithful, not method-substituted).** The frozen BCa
|
||||||
|
bootstrap does an O(n) leave-one-out jackknife whose per-fold statistic is the O(pos×neg) AUC
|
||||||
|
double loop — structurally intractable at the RQ1 scale (n = 75,000 pooled pairs; the RQ1-P2
|
||||||
|
ΔAUC evaluates AUC twice per resample). RQ1-P1 and RQ1-P2 CIs are therefore computed by a
|
||||||
|
performance-faithful bootstrap that reproduces the frozen `stats.bootstrap_ci` **bit-for-bit**
|
||||||
|
(identical `random.Random(seed)` resample sequence, a vectorised AUC proven equal to the frozen
|
||||||
|
detector including the average-rank tie path, and the frozen BCa endpoints/jackknife); a
|
||||||
|
committed `--verify` self-check asserts point/lo/hi/method agree to 1e-12. RQ2-P1 and RQ2-P3
|
||||||
|
remain on the unmodified frozen paths. No point estimate, CI gate, or decision is changed.
|
||||||
|
|
||||||
---
|
---
|
||||||
|
|
||||||
## 5. Results *(HELD BLIND — placeholders)*
|
## 5. Results
|
||||||
|
|
||||||
> Populated **once**, after the full battery completes and raw outputs are sealed. RQ2 subsections
|
All numbers below come from the single frozen §6 pass on the sealed 180-cell battery and are
|
||||||
> additionally gated on ratification of the posterior construction. No confirmatory number appears
|
deterministically regenerable (`docs/stage-06-analysis.md`; seed S0 = 20260719; 10,000 BCa
|
||||||
> until then.
|
resamples; α = 0.05). Every reported **decision** is a pre-registered CI gate; p-values order only
|
||||||
|
the Holm step-down.
|
||||||
|
|
||||||
### 5.1 Instrument-validation gate report
|
### 5.1 Instrument-validation gate report
|
||||||
**[HELD — will report the six boolean gate outcomes and calibration AUC/entropy values.]**
|
|
||||||
|
The battery ran only after all six boolean gate items passed; the confirmatory-relevant
|
||||||
|
calibration, recomputed independently on the §5 synthetic fixtures (40 seeds), holds:
|
||||||
|
**known-linked mean AUC = 1.0000** (criterion ≥ 0.95) and **known-unlinked mean AUC = 0.5036**
|
||||||
|
(criterion 0.40–0.60). Entropy calibration returns H = log₂N on equiprobable synthetic senders.
|
||||||
|
Because the correlator is calibrated on fixtures and never fit to confirmatory-cell data, the
|
||||||
|
measured AUCs below are reportable as instrument readings; had calibration failed, no AUC would be
|
||||||
|
reported.
|
||||||
|
|
||||||
### 5.2 RQ1 — bridge linkability
|
### 5.2 RQ1 — bridge linkability
|
||||||
**[HELD — RQ1-P1 bridge-on AUC + BCa CI and materiality label; RQ1-P2 paired ΔAUC + CI.]**
|
|
||||||
|
**RQ1-P1 (leak).** On the bridge-on / no-pad arm the pooled (entry, exit) pair set (n = 75,000
|
||||||
|
pairs; 1,500 linked / 73,500 unlinked) yields **AUC = 0.4660, BCa 95% CI [0.4523, 0.4798]**. The
|
||||||
|
CI excludes 0.5 but lies **below** it, so the frozen gate returns **anomaly-below-chance**, *not*
|
||||||
|
`leak`. The correlator does not link entry↔exit segments better than chance on the bridge-on
|
||||||
|
traffic; it sits marginally below chance (an artifact of the bridge hop's padding-stream flattening
|
||||||
|
the linked-pair temporal profile), so we report **no measurable leak**. The two-sided rejection at
|
||||||
|
AUC = 0.5 is therefore in the wrong direction and is not evidence of linkability.
|
||||||
|
|
||||||
|
**RQ1-P2 (padding efficacy).** Pairing the bridge-on / no-pad and bridge-on / +padding arms by
|
||||||
|
shared run index (n = 30 paired runs) gives paired **ΔAUC = +0.0113, BCa 95% CI [−0.0025,
|
||||||
|
+0.0234]** (per-run ΔAUCᵢ range ≈ [−0.080, +0.081], straddling zero). The CI spans 0 → frozen gate
|
||||||
|
**padding-ineffective** (raw p = 0.091). No significant padding effect on measured linkability;
|
||||||
|
this is moot given RQ1-P1 found no leak to suppress, and is reported because the frozen test
|
||||||
|
specifies it.
|
||||||
|
|
||||||
### 5.3 RQ2 — anonymity-set effect of federation
|
### 5.3 RQ2 — anonymity-set effect of federation
|
||||||
**[HELD + RATIFICATION-GATED — RQ2-P1 ΔH + CI (grow/shrink/inconclusive); RQ2-P3 Spearman ρ + CI.]**
|
|
||||||
|
**RQ2-P1 (federation effect, two-sided).** Over the ratified per-circuit posterior (Miller–Madow
|
||||||
|
H on the observation-consistent anonymity set), the federated arm (pooled bridge-federated +
|
||||||
|
directory-federated, 3,000 circuits) versus matched-N single-house (1,500 circuits) gives
|
||||||
|
**ΔH = −0.9587 bits, BCa 95% CI [−1.0559, −0.8641]**. The CI is strictly below 0 → frozen gate
|
||||||
|
**shrink**. Federation, as instrumented, **reduces** the per-circuit anonymity set by ≈ 0.96 bits
|
||||||
|
relative to a matched-N single house — the *opposite* of RQ2's motivating hypothesis. Per the
|
||||||
|
two-sided pre-registration this negative is reported with equal prominence; we do **not** re-frame
|
||||||
|
it as federation "helping."
|
||||||
|
|
||||||
|
**RQ2-P3 (funnelling mechanism).** Spearman ρ between top-k = 3 willing-bridge concentration and
|
||||||
|
per-circuit H (bridge-federated arm, n = 1,500) is **ρ = 0.0000, CI [0.0000, 0.0000]**
|
||||||
|
(percentile fallback) → **inconclusive**. The concentration series has *no variance*: the
|
||||||
|
bridge-federated topology assigns a fresh willing bridge per circuit seed, so willing-bridge reuse
|
||||||
|
is minimal and the top-3 concentration is effectively constant. Spearman is undefined on a
|
||||||
|
zero-variance covariate. This is the **as-instrumented degeneracy flagged in advance** (§7; the
|
||||||
|
stage-05 RQ2 instrument caveat), not a null of a well-posed mechanism test — the funnelling
|
||||||
|
mechanism is **not testable** on this instrument as built.
|
||||||
|
|
||||||
### 5.4 Holm-corrected confirmatory summary
|
### 5.4 Holm-corrected confirmatory summary
|
||||||
**[HELD — the 4 lead-paper tests at Holm-adjusted levels, effect sizes + CIs.]**
|
|
||||||
|
Holm–Bonferroni over the frozen family of 7 (reporting the 4 lead-paper tests at conservative
|
||||||
|
multipliers 7, 6, 5, 4, ordered by ascending raw p):
|
||||||
|
|
||||||
|
| Test | Effect | Point | 95% CI (BCa) | Frozen decision | raw p | Holm adj-p (m=7) | Reject @ .05 |
|
||||||
|
|---|---|---|---|---|---|---|---|
|
||||||
|
| RQ1-P1 | AUC (bridge-on) | 0.4660 | [0.4523, 0.4798] | anomaly-below-chance | 0.000 | 0.000 | yes* |
|
||||||
|
| RQ2-P1 | ΔH (fed − single) | −0.9587 bits | [−1.0559, −0.8641] | shrink | 0.000 | 0.000 | yes |
|
||||||
|
| RQ1-P2 | ΔAUC (nopad − pad) | +0.0113 | [−0.0025, +0.0234] | padding-ineffective | 0.091 | 0.456 | no |
|
||||||
|
| RQ2-P3 | Spearman ρ | 0.0000 | [0.0000, 0.0000] | inconclusive | 1.000 | 1.000 | no |
|
||||||
|
|
||||||
|
`*` RQ1-P1 rejects `H0: AUC = 0.5` in the **wrong direction** (below chance) and is therefore
|
||||||
|
**not** evidence of a leak. Two tests survive Holm at α = 0.05: RQ1-P1 (anomaly-below-chance) and
|
||||||
|
RQ2-P1 (shrink — a negative effect). One **exploratory** contrast (labelled, excluded from the
|
||||||
|
Holm family): the bridge-federated-only ΔH = −3.63 bits with a degenerate CI (near-single-member
|
||||||
|
posterior, mᵢ ≈ 1), reported only for transparency and consistent with the RQ2-P3 degeneracy.
|
||||||
|
|
||||||
---
|
---
|
||||||
|
|
||||||
## 6. Discussion *(HELD BLIND — placeholder)*
|
## 6. Discussion
|
||||||
|
|
||||||
**[HELD — interpretation of the confirmed/null/inconclusive outcomes; the honest-null story if
|
**A double null/negative, reported without spin.** The two motivating hypotheses of the consent
|
||||||
ΔH shrinks; what the funnelling ρ implies for consent-gated federation; padding efficacy.]**
|
gate — that a shared bridge leaks entry↔exit linkability (RQ1) and that federation grows the
|
||||||
|
anonymity set (RQ2) — are **both unsupported** on this instrument, and the one Holm-significant
|
||||||
|
directional effect points *against* the design's motivation.
|
||||||
|
|
||||||
|
**RQ1 — no bridge leak to close.** The frozen, fixture-calibrated correlator (linked AUC 1.00,
|
||||||
|
unlinked 0.50) reads the bridge-on traffic at AUC 0.466 — statistically distinguishable from
|
||||||
|
chance but *below* it, which the pre-registered gate correctly refuses to call a leak. The most
|
||||||
|
plausible mechanism is that the bridge hop's cover-padding stream flattens the temporal profile
|
||||||
|
that the correlator keys on, pushing linked pairs marginally *harder* to distinguish than
|
||||||
|
unlinked. Because there is no measurable leak, padding efficacy (RQ1-P2) is moot: ΔAUC is
|
||||||
|
indistinguishable from zero, exactly as expected when there is nothing to suppress. The honest
|
||||||
|
reading is that **at this lab scale and topology, the shared bridge is not a measurable
|
||||||
|
flow-linkability hazard for our frozen correlator** — a scoped negative, not a claim that shared
|
||||||
|
bridges are safe against a state-of-the-art adversary (§7).
|
||||||
|
|
||||||
|
**RQ2 — federation shrinks the anonymity set.** The evidentiary core is the Holm-significant
|
||||||
|
ΔH = −0.96 bits: under the ratified adversary posterior, federating across houses *reduces* the
|
||||||
|
effective candidate-sender set relative to a matched-N single house. This is the **funnelling**
|
||||||
|
outcome anticipated as a live possibility in the introduction — a consent gate carries traffic
|
||||||
|
only over *willing* relays, and when willingness concentrates, circuits funnel and anonymity
|
||||||
|
contracts. The pre-registration framed RQ2-P1 two-sided precisely so this result is reported "with
|
||||||
|
equal prominence"; it is a genuine negative finding about consent-gated federation, not a failure
|
||||||
|
to detect an effect. We deliberately do **not** re-slice cells or hunt subgroups to recover a
|
||||||
|
"federation helps" story.
|
||||||
|
|
||||||
|
**Why the funnelling mechanism test is inconclusive.** RQ2-P3 would have connected the ΔH
|
||||||
|
shrinkage to bridge concentration directly, but the instrument as built assigns a fresh willing
|
||||||
|
bridge per circuit seed, so the top-3 concentration covariate has no variance and Spearman is
|
||||||
|
undefined. The mechanism is therefore **not testable on this instrument** — an honest limitation
|
||||||
|
carried into §7, not evidence against funnelling. The exploratory bridge-federated-only
|
||||||
|
ΔH = −3.63 bits (near-single-member posterior) is consistent with a funnelling reading but carries
|
||||||
|
no confirmatory weight.
|
||||||
|
|
||||||
|
**Takeaway.** For this specific consent-gated, federated, nested-SSH instrument at lab scale, the
|
||||||
|
consent gate's measured privacy consequences are (i) no bridge linkability leak and (ii) a
|
||||||
|
*reduction* in the federation anonymity set. Both are scoped, honest results; neither generalises
|
||||||
|
to internet scale or to a stronger adversary (§7). The value of the study is the pre-registered,
|
||||||
|
frozen-detector method that let a hoped-for effect fail cleanly and a negative effect surface
|
||||||
|
without being explained away.
|
||||||
|
|
||||||
---
|
---
|
||||||
|
|
||||||
@@ -281,8 +397,15 @@ bootstrap/permutation-based (10,000 resamples, **BCa** intervals; 3-seed spot-ch
|
|||||||
order, interleaved controls, per-session idle baselines, and a pinned node-role→device mapping.
|
order, interleaved controls, per-session idle baselines, and a pinned node-role→device mapping.
|
||||||
Detector-tuning contamination is **eliminated** by pre-battery freezing on fixtures.
|
Detector-tuning contamination is **eliminated** by pre-battery freezing on fixtures.
|
||||||
- **RQ2 construction dependency.** The RQ2 result depends on the ratified posterior construction
|
- **RQ2 construction dependency.** The RQ2 result depends on the ratified posterior construction
|
||||||
(§4.2 caveat); the construction is pre-specified blind, two-sided, and grounded only in cited
|
(§4.2); the construction is pre-specified blind, two-sided, and grounded only in cited metrics —
|
||||||
metrics — but it is a specification the frozen prereg did not pin, and is disclosed as such.
|
but it is a specification the frozen prereg did not pin, and the ΔH = −0.96 bits finding should
|
||||||
|
be read as conditional on it.
|
||||||
|
- **Funnelling mechanism not testable as-instrumented (RQ2-P3).** The bridge-federated topology
|
||||||
|
assigns a fresh willing bridge per circuit seed, so the top-3 concentration covariate has zero
|
||||||
|
variance and the Spearman mechanism test is degenerate (ρ = 0, inconclusive). This was flagged
|
||||||
|
in advance; it means the *mechanism* behind the RQ2-P1 shrinkage is not empirically resolved on
|
||||||
|
this instrument, only its magnitude. A topology with realistic willing-bridge reuse would be
|
||||||
|
needed to test funnelling directly.
|
||||||
- **Dual-use (ethics).** An onion-routing data plane is dual-use; the **defensive-measurement**
|
- **Dual-use (ethics).** An onion-routing data plane is dual-use; the **defensive-measurement**
|
||||||
framing and containment envelope are load-bearing and binding, and the framing is red-teamed at
|
framing and containment envelope are load-bearing and binding, and the framing is red-teamed at
|
||||||
stage 08.
|
stage 08.
|
||||||
@@ -291,10 +414,15 @@ bootstrap/permutation-based (10,000 resamples, **BCa** intervals; 3-seed spot-ch
|
|||||||
|
|
||||||
## 8. Deviations from pre-registration
|
## 8. Deviations from pre-registration
|
||||||
|
|
||||||
Tracked only in stage-05 `sor-consent-deviations.md` (none edit the frozen prereg). Two
|
Tracked only in stage-05 `sor-consent-deviations.md` (none edit the frozen prereg). Three
|
||||||
clarifications recorded to date: the Holm family-size restatement
|
clarifications recorded: the Holm family-size restatement
|
||||||
(`docs/stage-05-holm-clarification.md`, **ratified**) and the RQ2 posterior construction
|
(`docs/stage-05-holm-clarification.md`, **ratified**), the RQ2 posterior construction
|
||||||
(`docs/stage-05-rq2-posterior-clarification.md`, **PROPOSED — pending operator ratification**).
|
(`docs/stage-05-rq2-posterior-clarification.md`, **ratified**), and the RQ1-P2 run-index pairing
|
||||||
|
(`docs/stage-05-rq1p2-pairing-clarification.md`, **freeze-derived / ratified**). One
|
||||||
|
implementation note carried in §4.5: the RQ1 CIs use a performance-faithful bootstrap proven
|
||||||
|
**bit-for-bit** equal to the frozen `stats.bootstrap_ci` (committed `--verify`), so no point
|
||||||
|
estimate, CI gate, or decision is substituted. The frozen prereg SHA is unchanged
|
||||||
|
(`f22331a72e…`).
|
||||||
|
|
||||||
---
|
---
|
||||||
|
|
||||||
|
|||||||
Reference in New Issue
Block a user