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Crucially, the log of the effective action serves as a scalar potential Φ that generates the diffeomorphisms required to ensure the tensorial consistency of the flow.","weakest_assumption":"The reformulation of the Polchinski exact renormalization group equation into an infinite-dimensional Fokker-Planck framework, together with the construction of the field-theoretic F-entropy functional as a Lyapunov potential whose gradient flow produces the claimed Ricci flow on the information metric (abstract, paragraphs describing the mapping and the role of Φ)."}},"verdict_id":"d5f0eef2-18bf-4dad-8cfc-c6b83772f3f5"}}],"author_attestations":[],"timestamp_anchors":[],"storage_attestations":[],"citation_signatures":[],"replication_records":[],"corrections":[],"mirror_hints":[],"record_created":{"event_id":"sha256:c8c0b52c68abeaffdfeb454c51a7f0c9365efc951e36585e51acf6db2ace8d87","target":"record","created_at":"2026-05-20T00:03:45Z","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":"9e63c1c68b82736f3b79dbadbaf00e936b2e71673a4f2336ce200484a9fd74ac","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2026-05-17T01:16:38Z","title_canon_sha256":"f7022e4c73ba4520600e2b8357bda892f5f3ae5016ae5fd95922b5497b3803a2"},"schema_version":"1.0","source":{"id":"2605.17215","kind":"arxiv","version":1}},"canonical_sha256":"5c126c7981adf44ab02c2758241f55d0abf9b6bdbfb16c5cd4f0207ca6c33a2e","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"5c126c7981adf44ab02c2758241f55d0abf9b6bdbfb16c5cd4f0207ca6c33a2e","first_computed_at":"2026-05-20T00:03:45.653966Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-20T00:03:45.653966Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"5eCYt4i1nXF0OysVoYLpmV7yR8e/4Kqn3VIsIabBnK8mbYBIqrH2MNy0RKf7PurWHZfnEuGVHwkillET0OuuBg==","signature_status":"signed_v1","signed_at":"2026-05-20T00:03:45.654881Z","signed_message":"canonical_sha256_bytes"},"source_id":"2605.17215","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:c8c0b52c68abeaffdfeb454c51a7f0c9365efc951e36585e51acf6db2ace8d87","sha256:2e11d9a09e04bf89fe0f1221cbfd81aa0f1c64d642b672bca2a88a77d4450388"],"state_sha256":"a95e73799ecadf5089bb635a6456e45905c0a4e9e1003c86f7aba59bd9c9a452"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Rt4RdBBk8nHt+nvUTWvggt4ySDe5i+rPFmLTtL0MXocf66ttqGxUqcqTZ50Jbi5b+uCdpGFI88VFgmbC9grNAA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-20T17:14:17.047675Z","bundle_sha256":"d356c21901bb99469431381329695f04eb09a00062f6a67afce0fcb06d33fa3a"}}