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The resulting force is not freely specifiable: its amplitude is filtered by the Hessian of Hamilton's principal function, yielding multiplicative and state-dependent noise.","weakest_assumption":"The assumption that boundary fluctuations can be treated as independent variational data whose imprint survives Hamilton-Jacobi propagation without being washed out by the deterministic dynamics or requiring additional regularization; this enters when the paper states that the gradient of the fluctuating on-shell action directly supplies the Langevin force (abstract and implied § derivation)."}},"verdict_id":"b8764fc6-8090-4a49-813a-4c8471343bd2"}}],"author_attestations":[],"timestamp_anchors":[],"storage_attestations":[],"citation_signatures":[],"replication_records":[],"corrections":[],"mirror_hints":[],"record_created":{"event_id":"sha256:e00888dd33368c1c73ae5143107607ba27ceb8a36e68e09cfbd947b6fc8da403","target":"record","created_at":"2026-05-20T00:04:49Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"attestation_state":"computed","canonical_record":{"metadata":{"abstract_canon_sha256":"648a5c800c3ad11eb324fc3fc77caf0dbb0c6a27b98b92b99e27f429381228bc","cross_cats_sorted":["physics.class-ph"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2026-05-17T19:35:17Z","title_canon_sha256":"16a4f1b722d59751e8fe5eaa9fa67513524e2e4b2cb692ee7036a874b93a88e3"},"schema_version":"1.0","source":{"id":"2605.17621","kind":"arxiv","version":1}},"canonical_sha256":"29c3a9e4239b91dee46c7531576409c6e388f849a042ee9baa69d1c82e1053d7","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"29c3a9e4239b91dee46c7531576409c6e388f849a042ee9baa69d1c82e1053d7","first_computed_at":"2026-05-20T00:04:49.180342Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-20T00:04:49.180342Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Bdclxnsu8A+IvDIllAl5+0wJfm6vkeFeMbUZHvx2IU0NdCWuo/WboF6a4yjv3YTQtZtWRrAaHFbYBu03R1+LBw==","signature_status":"signed_v1","signed_at":"2026-05-20T00:04:49.181415Z","signed_message":"canonical_sha256_bytes"},"source_id":"2605.17621","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:e00888dd33368c1c73ae5143107607ba27ceb8a36e68e09cfbd947b6fc8da403","sha256:56bcafa0a617bd4e566353971d2ed91eccad808dcd4c8add9cc9782e8248d3d6"],"state_sha256":"11daf6f4919c0fd98695e1901ecd5bdf99a0fec04671aa0bfb6aa8e4139372ed"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"FBlfeEocu+yQ9O/ggqQLvrThhZ3LQSsfB7JiritOuEUTjOCnnRHKDqjtBWKJ8wzTLPeEl8bVl5OFI88TS/n2Dg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-22T18:33:50.222991Z","bundle_sha256":"5677e37d4bdded5fca536ab2e40bfd0774cd85470b67311a00868ed9a41e26fd"}}