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1---2id: H243title: The six-stage pipeline rediscovers known structure at a high rate and reports zero validated novel shortcuts4axis: D5kind: methodology6statement: Of the 25 hypotheses, the pipeline classifies the majority as known results reproduced or empirical observations,7  rejects the explicitly 'beyond √n' conjectures with proofs or counterexamples, and produces no claim of a cryptographic8  weakness; the baseline (literature lookup without computation) would have left the quantitative constants unmeasured.9motivation: Outcome C of the mandate (methodological contribution) must be evaluated honestly.10assumptions: Classification rubric of §7 Stage 6.11expected_contribution: Discovery-log statistics and a critical assessment of what automation added.12related_work:13- fawzi2022discovering14- romeraparedes2024mathematical15- lu2024ai16possible_counterexamples: A validated novel result (none).17verification_strategy: experiments/automated_discovery/registry.py18computational_budget: none19status: evaluated20classification: empirical_observation21evidence:22- research_log/discovery_log.jsonl23- results/automated_discovery/hypothesis_summary.json24verdict: '25 hypotheses evaluated: 16 known results reproduced with measured constants, 6 empirical observations, 3 rejected25  conjectures (orbit quotient group; iteration-function shortcut; non-injectivity of σ0/σ1), 0 new verified results, 0 claims26  of weakness. Automation found one unrecorded closed form (GLV constants) and one wrong belief (σ0/σ1); the baseline (literature27  reading) would have left every constant unmeasured.'28---2930# H24 — The six-stage pipeline rediscovers known structure at a high rate and reports zero validated novel shortcuts3132Of the 25 hypotheses, the pipeline classifies the majority as known results reproduced or empirical observations, rejects the explicitly 'beyond √n' conjectures with proofs or counterexamples, and produces no claim of a cryptographic weakness; the baseline (literature lookup without computation) would have left the quantitative constants unmeasured.33
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