{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2025:25UPLJW2QYORJNYHOUAGSWEUXZ","short_pith_number":"pith:25UPLJW2","canonical_record":{"source":{"id":"2502.04754","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.CA","submitted_at":"2025-02-07T08:40:23Z","cross_cats_sorted":["math-ph","math.MP"],"title_canon_sha256":"6843bf8d372a501b0b6d9975f3f3eb23926534af64a1f664da5f4db8252730ab","abstract_canon_sha256":"dda766dd750eaebbc55130fc5c7a57cd8137294be59b39befab9d66b50516e7f"},"schema_version":"1.0"},"canonical_sha256":"d768f5a6da861d14b7077500695894be4a477f31dbbc3b42551defe88f362510","source":{"kind":"arxiv","id":"2502.04754","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2502.04754","created_at":"2026-07-05T10:10:56Z"},{"alias_kind":"arxiv_version","alias_value":"2502.04754v1","created_at":"2026-07-05T10:10:56Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2502.04754","created_at":"2026-07-05T10:10:56Z"},{"alias_kind":"pith_short_12","alias_value":"25UPLJW2QYOR","created_at":"2026-07-05T10:10:56Z"},{"alias_kind":"pith_short_16","alias_value":"25UPLJW2QYORJNYH","created_at":"2026-07-05T10:10:56Z"},{"alias_kind":"pith_short_8","alias_value":"25UPLJW2","created_at":"2026-07-05T10:10:56Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2025:25UPLJW2QYORJNYHOUAGSWEUXZ","target":"record","payload":{"canonical_record":{"source":{"id":"2502.04754","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.CA","submitted_at":"2025-02-07T08:40:23Z","cross_cats_sorted":["math-ph","math.MP"],"title_canon_sha256":"6843bf8d372a501b0b6d9975f3f3eb23926534af64a1f664da5f4db8252730ab","abstract_canon_sha256":"dda766dd750eaebbc55130fc5c7a57cd8137294be59b39befab9d66b50516e7f"},"schema_version":"1.0"},"canonical_sha256":"d768f5a6da861d14b7077500695894be4a477f31dbbc3b42551defe88f362510","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T10:10:56.746426Z","signature_b64":"ji3beRW1dLjJD2QjwnkI4UTn1fOU+cNTpQsNqPRRTjHTR5V/Erzi1XHDDubvoGbPoWVoo2gOmwPHoD7R3P9mAg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"d768f5a6da861d14b7077500695894be4a477f31dbbc3b42551defe88f362510","last_reissued_at":"2026-07-05T10:10:56.745892Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T10:10:56.745892Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2502.04754","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-05T10:10:56Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"beGsdekF2x8mN3sE6MiUCG2L4/WHkZFZcyI33iHC1ow7VVviQyp09jDjzGgixm9lgYauKdaTsdLykPPlVh1dBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-14T13:27:05.396681Z"},"content_sha256":"c608cd0daf2f8ba009773bbb1e514a53126fd0e27075e6ca847cf193a68337a0","schema_version":"1.0","event_id":"sha256:c608cd0daf2f8ba009773bbb1e514a53126fd0e27075e6ca847cf193a68337a0"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2025:25UPLJW2QYORJNYHOUAGSWEUXZ","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"The detailed balance property and chemical systems out of equilibrium","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["math-ph","math.MP"],"primary_cat":"math.CA","authors_text":"E. Franco, J. J. L. Vel\\'azquez","submitted_at":"2025-02-07T08:40:23Z","abstract_excerpt":"The detailed balance property is a fundamental property that must be satisfied in all the macroscopic systems with a well defined temperature at each point. On the other hand, many biochemical networks work in non-equilibrium conditions and they can be effectively modelled using sets of equations in which the detailed balance condition fails. In this paper we study a class of \"out of equilibrium\" chemical networks that can be obtained freezing the concentration of some substances in chemical networks for which the detailed balance property holds. In particular, we prove that any chemical syste"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2502.04754","kind":"arxiv","version":1},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2502.04754/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-05T10:10:56Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"0H/VgZa0lzLmFS+9RTl2JNK+uuyxBRJWYwtXEGH74Cnk4Bb4nRuiLjSiIqMpYiUu496FhGOo6JbN5b1/OtVsAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-14T13:27:05.397575Z"},"content_sha256":"249cdc3af83e2eb7808d0c28fe2f1c5d6d8306a20f07407c4bb4db0379a3633e","schema_version":"1.0","event_id":"sha256:249cdc3af83e2eb7808d0c28fe2f1c5d6d8306a20f07407c4bb4db0379a3633e"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/25UPLJW2QYORJNYHOUAGSWEUXZ/bundle.json","state_url":"https://pith.science/pith/25UPLJW2QYORJNYHOUAGSWEUXZ/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/25UPLJW2QYORJNYHOUAGSWEUXZ/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-08-14T13:27:05Z","links":{"resolver":"https://pith.science/pith/25UPLJW2QYORJNYHOUAGSWEUXZ","bundle":"https://pith.science/pith/25UPLJW2QYORJNYHOUAGSWEUXZ/bundle.json","state":"https://pith.science/pith/25UPLJW2QYORJNYHOUAGSWEUXZ/state.json","well_known_bundle":"https://pith.science/.well-known/pith/25UPLJW2QYORJNYHOUAGSWEUXZ/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2025:25UPLJW2QYORJNYHOUAGSWEUXZ","merge_version":"pith-open-graph-merge-v1","event_count":2,"valid_event_count":2,"invalid_event_count":0,"equivocation_count":0,"current":{"canonical_record":{"metadata":{"abstract_canon_sha256":"dda766dd750eaebbc55130fc5c7a57cd8137294be59b39befab9d66b50516e7f","cross_cats_sorted":["math-ph","math.MP"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.CA","submitted_at":"2025-02-07T08:40:23Z","title_canon_sha256":"6843bf8d372a501b0b6d9975f3f3eb23926534af64a1f664da5f4db8252730ab"},"schema_version":"1.0","source":{"id":"2502.04754","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2502.04754","created_at":"2026-07-05T10:10:56Z"},{"alias_kind":"arxiv_version","alias_value":"2502.04754v1","created_at":"2026-07-05T10:10:56Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2502.04754","created_at":"2026-07-05T10:10:56Z"},{"alias_kind":"pith_short_12","alias_value":"25UPLJW2QYOR","created_at":"2026-07-05T10:10:56Z"},{"alias_kind":"pith_short_16","alias_value":"25UPLJW2QYORJNYH","created_at":"2026-07-05T10:10:56Z"},{"alias_kind":"pith_short_8","alias_value":"25UPLJW2","created_at":"2026-07-05T10:10:56Z"}],"graph_snapshots":[{"event_id":"sha256:249cdc3af83e2eb7808d0c28fe2f1c5d6d8306a20f07407c4bb4db0379a3633e","target":"graph","created_at":"2026-07-05T10:10:56Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"graph_snapshot":{"author_claims":{"count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","strong_count":0},"builder_version":"pith-number-builder-2026-05-17-v1","claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2502.04754/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"The detailed balance property is a fundamental property that must be satisfied in all the macroscopic systems with a well defined temperature at each point. On the other hand, many biochemical networks work in non-equilibrium conditions and they can be effectively modelled using sets of equations in which the detailed balance condition fails. In this paper we study a class of \"out of equilibrium\" chemical networks that can be obtained freezing the concentration of some substances in chemical networks for which the detailed balance property holds. In particular, we prove that any chemical syste","authors_text":"E. Franco, J. J. L. Vel\\'azquez","cross_cats":["math-ph","math.MP"],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.CA","submitted_at":"2025-02-07T08:40:23Z","title":"The detailed balance property and chemical systems out of equilibrium"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2502.04754","kind":"arxiv","version":1},"verdict":{"created_at":null,"id":null,"model_set":{},"one_line_summary":"","pipeline_version":null,"pith_extraction_headline":"","strongest_claim":"","weakest_assumption":""}},"verdict_id":null}}],"author_attestations":[],"timestamp_anchors":[],"storage_attestations":[],"citation_signatures":[],"replication_records":[],"corrections":[],"mirror_hints":[],"record_created":{"event_id":"sha256:c608cd0daf2f8ba009773bbb1e514a53126fd0e27075e6ca847cf193a68337a0","target":"record","created_at":"2026-07-05T10:10:56Z","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":"dda766dd750eaebbc55130fc5c7a57cd8137294be59b39befab9d66b50516e7f","cross_cats_sorted":["math-ph","math.MP"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.CA","submitted_at":"2025-02-07T08:40:23Z","title_canon_sha256":"6843bf8d372a501b0b6d9975f3f3eb23926534af64a1f664da5f4db8252730ab"},"schema_version":"1.0","source":{"id":"2502.04754","kind":"arxiv","version":1}},"canonical_sha256":"d768f5a6da861d14b7077500695894be4a477f31dbbc3b42551defe88f362510","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"d768f5a6da861d14b7077500695894be4a477f31dbbc3b42551defe88f362510","first_computed_at":"2026-07-05T10:10:56.745892Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T10:10:56.745892Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"ji3beRW1dLjJD2QjwnkI4UTn1fOU+cNTpQsNqPRRTjHTR5V/Erzi1XHDDubvoGbPoWVoo2gOmwPHoD7R3P9mAg==","signature_status":"signed_v1","signed_at":"2026-07-05T10:10:56.746426Z","signed_message":"canonical_sha256_bytes"},"source_id":"2502.04754","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:c608cd0daf2f8ba009773bbb1e514a53126fd0e27075e6ca847cf193a68337a0","sha256:249cdc3af83e2eb7808d0c28fe2f1c5d6d8306a20f07407c4bb4db0379a3633e"],"state_sha256":"84578f88a2ac48b92cd791eefe24c0d787039d29c109091ddf3e0c6d348dc3a9"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Tl4m8QSBokk7oStjofanuaHpD2cdoWgCb1gjO0zCI8dBO2NdVEEGGkjBUR0jYniKuIFnH2wZV4c4fkWVFU/ZAQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-14T13:27:05.410446Z","bundle_sha256":"e24a68cc1a2511645fc225255f9de8abb80ac1dc167131b7b409e397d80a199b"}}