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results: add Q10 (pairset mechanism>framing>placebo) + Q11 (60-step convergence gap closes)
Q10: swap only pair-set content (all bases k=12/tau=0, trained k=5, seed-41 mix=0.125 frozen). prog_wide (mechanism) -0.226; semantic framings ~0; null_city placebo +0.024. v_hack tracks the hack mechanism, not a generic honesty direction. n=1 per row, baseline noise +/-0.06. Q11: 60-step seed-42 mix=0.125, gap closes (vanilla 0.936, frozen 0.957, refresh-2 0.907) -- projection delays but does not prevent hacking at this horizon. n=1, confounded with mix/seed vs Q2. Co-Authored-By: Claude Opus 4.8 <noreply@anthropic.com>
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# Results, organized by the question each run answers
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Generated from `logs/*.log` via `just results` (source: `scripts/results.py`).
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Curated snapshot 2026-05-29; regenerate any time. Each table cites its source
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Curated snapshot 2026-05-30; regenerate any time. Each table cites its source
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logs in an HTML comment so every number traces back to a file.
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## How to read this
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@@ -168,15 +168,18 @@ mix=0.5, frozen, one_sided:
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At shared seed 41: weak basis = 0.775 (= vanilla, no effect), strong = 0.475.
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**Answer: the k=12 / 16-pair basis cuts hack ~2x more than k=5 / 10-pair, but
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we don't know if k, pair-count, or tau drives it.** Untangling needs a one-knob
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sweep (same pairs, k=5 vs 12) — not yet run. The strong basis IS reproducible
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from current `pairs.py`: `extract --top-k=12 --v-hack-drop-bottom-frac=0.0`
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(n_heldout=2 → 16 of 18 pairs); refresh already re-extracts at k=12.
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**Answer: the stronger basis cuts hack ~2x more — but pair *count* is a red
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herring; what matters is which hack *mechanisms* the pairs cover.** The strong
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basis spans the later axes (try/except-swallow, type-only-assert,
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weak-inequality, hardcode) that the weak/older set under-covers. The real
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experiment is a content/axis ablation — which mechanisms carry the cut — which
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is the same question as G2/G3 cross-mechanism generalisation (does a basis from
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mechanism A suppress hack B), the no-cheat hypothesis itself. The k=5-vs-12
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and 10-vs-16 differences are present but secondary.
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For reference, the current `pairs.py` (`PAIRS`, 18 pairs) is skewed to one axis:
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axis-1 weak-`run_tests` = 8/18; the other five mechanisms (hardcode, persona,
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try/except-swallow, type-only-assert, weak-inequality) get 2 each.
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Current `pairs.py` (`PAIRS`, 18 pairs) by mechanism: axis-1 weak-`run_tests` =
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8/18; hardcode / persona / try-except-swallow / type-only-assert /
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weak-inequality = 2 each.
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---
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@@ -202,6 +205,89 @@ strip real hack signal; (3) hack/solve subspaces may genuinely overlap. Needs
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---
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## Q10. 🥇 Does the *pair set content* matter? (mechanism vs framing vs placebo)
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<!-- src (seed 41, mix=0.125, frozen, one_sided, k=5; all bases extracted k=12/tau=0):
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#171 *_pairset_prog_wide_s41.log; #169 *_pairset_prog_wider_s41.log;
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#164 *_pairset_intent_vs_spec_s41.log; #162 *_pairset_honesty_text_s41.log;
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#160 *_pairset_moral_s41.log; #166 *_pairset_eval_aware_s41.log;
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#158 *_pairset_philosophical_s41.log; #168 *_pairset_null_city_s41.log (PLACEBO).
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baseline: 3x vanilla mix=0.125 seed-41 runs. -->
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The detector we're allowed to have is *weak* (no-cheat invariant): it sees some
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hacks and misses others. So: does a v_hack extracted from a pair set that does
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NOT contrast the LeetCode mechanism still suppress the mechanical hack? We swap
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only the pair-set content (every basis extracted identically, k=12/tau=0,
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trained k=5) and read Δhack vs same-seed vanilla. n=1 projected per row;
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±0.06 is the baseline noise (std of the 3 seed-41 vanilla runs), so treat
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anything inside ±0.06 as null.
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| basis (pair set) | contrasts | hack | solve | Δhack vs vanilla |
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| :-------------------- | :--------------- | ----: | ----: | ---------------: |
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| vanilla (baseline) | -- | 0.726 | ~0.20 | — |
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| `prog_wide` | hack *mechanism* | 0.500 | 0.221 | −0.226 |
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| `prog_wider` | mech + lang/cond | 0.679 | 0.236 | −0.048 |
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| `intent_vs_spec` | semantic framing | 0.686 | 0.207 | −0.040 |
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| `honesty_text` | semantic framing | 0.714 | 0.193 | −0.012 |
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| `moral` | semantic framing | 0.721 | 0.221 | −0.005 |
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| `eval_aware` | semantic framing | 0.736 | 0.186 | +0.010 |
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| `philosophical` | semantic framing | 0.743 | 0.243 | +0.017 |
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| `null_city` (PLACEBO) | random content | 0.750 | 0.221 | +0.024 |
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(Baseline = mean of the 3 seed-41 vanilla mix=0.125 runs the deltas are paired
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against. The canonical `v_hack_21pairs` is NOT in this table: it was only run
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at mix=0.5 / different step counts, so a same-table comparison would confound
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mix and horizon. Its mix=0.5 effect is in Q2.)
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**Answer: it's the *mechanism*, not the *framing*.** Pairs that contrast the
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programmatic hack mechanism (`prog_wide`) cut hack the most (−0.226), at no
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solve cost. Semantic / value framings (moral, honesty, eval-awareness,
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philosophy) do essentially nothing -- all within baseline noise of the
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`null_city` placebo. The placebo sits at +0.024 (no effect), exactly as it
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should. So v_hack is picking up the *hack-mechanism* subspace, not a generic
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"honesty" or "intent" direction.
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Caveats (n=1, hold loosely): (1) all rows are single seed-41 runs; ±0.06 is the
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seed-41 vanilla noise, so everything from `intent_vs_spec` down is null.
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`prog_wide` needs ≥3 seeds (task #122) before the −0.226 is trustworthy.
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(2) Broadening `prog_wide`→`prog_wider` (adding language/phrasing/condition
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variation) *hurt* (−0.226→−0.048): diluting the mechanism contrast with surface
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variation weakened the basis. (3) Encouraging for the no-cheat story -- a
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mechanism-matched-but-off-task detector generalizes -- but the real
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generalization test is held-out *mechanism* (Stage 2/3), not held-out framing.
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## Q11. Does the projection gap survive to convergence? (60-step, seed 42)
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<!-- src (seed 42, mix=0.125, 60 steps; n=1 each):
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#179 *_converge_vanilla_mix0125_s42.log; #178 *_converge_refresh2_mix0125_s42_logged.log;
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*_converge_proj21_mix0125_s42.log (frozen). NOTE: results.py has no `steps`
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dimension, so these merge into the 20-step mix=0.125 groups in the grouped
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table -- read them here from the raw last-5, not from that row. -->
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The Q2 gap (−13 to −18pp) is measured at 20 steps, where vanilla hack has only
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just plateaued (~step 13-16, see Dynamics note). Does projection keep hack down
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once we run 3x past the plateau? One 60-step run per arm, seed 42, mix=0.125:
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| arm | L5 hack | L5 solve |
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| :------------------ | ------: | -------: |
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| vanilla | 0.936 | 0.293 |
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| projected frozen-V | 0.957 | 0.293 |
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| projected refresh-2 | 0.907 | 0.307 |
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**Answer: at n=1, the gap closes.** By step 60 all three arms sit at ~0.91-0.96
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hack -- projection delays hacking but does not prevent it at this horizon. The
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attractor in this surrogate (cached-teacher) regime is full hack, and the
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projected student eventually catches up. refresh-2 is marginally below vanilla
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(−2.9pp) and frozen marginally above (+2.1pp), both inside the ~0.06-0.12 seed
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noise, so the honest read is "no surviving gap at 60 steps, seed 42."
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Caveats: (1) n=1, seed 42 only -- needs the 3-seed convergence (task #121) to
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distinguish "gap truly closes" from "seed-42 is a high-hack draw". (2) This is
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mix=0.125 + seed 42 + 60 steps, three axes different from Q2's mix=0.5/20-step
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numbers, so it is NOT a clean "same run, later" comparison. (3) The 20-step
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suppression is real (Q2, n=4); what's unclear is whether longer training erodes
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it or whether this is a sparse-teacher/seed artifact.
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## Dynamics note (sizing the convergence test)
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Per-step trajectories (mix=0.125 g8, seed 41): `hack_s` rises 0→~0.6-0.75 and
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@@ -214,9 +300,14 @@ the plateau; a 1000-step run (~36h) is wasteful.
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## Open / queued (no result yet)
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- **convergence (does the gap persist past the plateau?)**: 60-step seed-42
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vanilla vs projected refresh-2 at mix=0.125, then add seeds if the gap holds.
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- **overshoot=1.1** (#140): queued.
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- **convergence at ≥3 seeds (#121)**: the n=1 seed-42 run (Q11) shows the gap
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closing by step 60, but that could be a seed-42 high-hack draw. Need 2+ more
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seeds before concluding the suppression erodes vs survives.
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- **pairset content at ≥3 seeds (#122)**: Q10's mechanism>framing>placebo
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ordering is n=1 per row; replicate `prog_wide` and the placebo on 2+ seeds.
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- **route arm at scale (#182)**: running; validates routing's ablated-eval
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hack<kept on Qwen3-4B before the 3-way none/erase/route cells (#130).
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- **k-slice (k=1/2/5)**: only smoke-tested, no 4B results.
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- **G2/G3 cross-mechanism generalisation**: queued; the load-bearing test of
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whether a known-hack basis stops an unknown hack.
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- **Stage 2/3 cross-*mechanism* generalisation**: the load-bearing test --
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extract v_hack from hack A, check it stops the *unknown* hack B the student
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would otherwise learn. Q10 (held-out *framing*) is a weaker cousin.
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