{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2011:JC4NXYBKTSMZPKQL2Q4AESZZML","short_pith_number":"pith:JC4NXYBK","canonical_record":{"source":{"id":"1101.5280","kind":"arxiv","version":3},"metadata":{"license":"http://creativecommons.org/licenses/by/3.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2011-01-27T13:24:23Z","cross_cats_sorted":["physics.chem-ph"],"title_canon_sha256":"171dd58a54d4b65db007d7d4903f61477d50afef204d90fb94392d8cb0f658ed","abstract_canon_sha256":"d7d4c7c2545b78f714c5418ea237a14e92e371bab81788a6515e6a39b2520370"},"schema_version":"1.0"},"canonical_sha256":"48b8dbe02a9c9997aa0bd438024b3962db21ebfd9df1998e73b49f096f8c2692","source":{"kind":"arxiv","id":"1101.5280","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1101.5280","created_at":"2026-05-18T04:14:55Z"},{"alias_kind":"arxiv_version","alias_value":"1101.5280v3","created_at":"2026-05-18T04:14:55Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1101.5280","created_at":"2026-05-18T04:14:55Z"},{"alias_kind":"pith_short_12","alias_value":"JC4NXYBKTSMZ","created_at":"2026-05-18T12:26:32Z"},{"alias_kind":"pith_short_16","alias_value":"JC4NXYBKTSMZPKQL","created_at":"2026-05-18T12:26:32Z"},{"alias_kind":"pith_short_8","alias_value":"JC4NXYBK","created_at":"2026-05-18T12:26:32Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2011:JC4NXYBKTSMZPKQL2Q4AESZZML","target":"record","payload":{"canonical_record":{"source":{"id":"1101.5280","kind":"arxiv","version":3},"metadata":{"license":"http://creativecommons.org/licenses/by/3.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2011-01-27T13:24:23Z","cross_cats_sorted":["physics.chem-ph"],"title_canon_sha256":"171dd58a54d4b65db007d7d4903f61477d50afef204d90fb94392d8cb0f658ed","abstract_canon_sha256":"d7d4c7c2545b78f714c5418ea237a14e92e371bab81788a6515e6a39b2520370"},"schema_version":"1.0"},"canonical_sha256":"48b8dbe02a9c9997aa0bd438024b3962db21ebfd9df1998e73b49f096f8c2692","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:14:55.052575Z","signature_b64":"WNRbXuZlhAkydb1JcPRpKMPo0lVfxGd1JEbOZtD831kapqaOOM2q8a+RUQ9AIN95pQkq8MJ5rnF9DCXuchKxBg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"48b8dbe02a9c9997aa0bd438024b3962db21ebfd9df1998e73b49f096f8c2692","last_reissued_at":"2026-05-18T04:14:55.051877Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:14:55.051877Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1101.5280","source_version":3,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T04:14:55Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"iukRJ53EmanL9f8Vpw12ORWEpw1yUPA7WySUlELDEhojd7yxi2Kf7yOokcBW/QVYPfCN8Xh7TiYZUDYGMsPdAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-27T11:51:03.157971Z"},"content_sha256":"110733664d9c01fd5561d31eecf61befe98913a5ee94877977141a31378a65b1","schema_version":"1.0","event_id":"sha256:110733664d9c01fd5561d31eecf61befe98913a5ee94877977141a31378a65b1"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2011:JC4NXYBKTSMZPKQL2Q4AESZZML","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Extended Detailed Balance for Systems with Irreversible Reactions","license":"http://creativecommons.org/licenses/by/3.0/","headline":"","cross_cats":["physics.chem-ph"],"primary_cat":"cond-mat.stat-mech","authors_text":"A.N. Gorban, G.S. Yablonsky","submitted_at":"2011-01-27T13:24:23Z","abstract_excerpt":"The principle of detailed balance states that in equilibrium each elementary process is equilibrated by its reverse process. For many real physico-chemical complex systems (e.g. homogeneous combustion, heterogeneous catalytic oxidation, most enzyme reactions etc), detailed mechanisms include both reversible and irreversible reactions. In this case, the principle of detailed balance cannot be applied directly. We represent irreversible reactions as limits of reversible steps and obtain the principle of detailed balance for complex mechanisms with some irreversible elementary processes. We prove"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1101.5280","kind":"arxiv","version":3},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"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":"2026-05-18T04:14:55Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"+kLMAwmOFRuwYAp+9XegR525zhQU2qZbwNE4ub+Nilvju374vBtYo1/2mGMO8P2Y5zLwq2+lB3KDhISbXr2JDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-27T11:51:03.158628Z"},"content_sha256":"957ac4638731428827a9b6b5fab826953aa6c193fb13fe120d9b1034915e81be","schema_version":"1.0","event_id":"sha256:957ac4638731428827a9b6b5fab826953aa6c193fb13fe120d9b1034915e81be"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/JC4NXYBKTSMZPKQL2Q4AESZZML/bundle.json","state_url":"https://pith.science/pith/JC4NXYBKTSMZPKQL2Q4AESZZML/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/JC4NXYBKTSMZPKQL2Q4AESZZML/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":"2026-05-27T11:51:03Z","links":{"resolver":"https://pith.science/pith/JC4NXYBKTSMZPKQL2Q4AESZZML","bundle":"https://pith.science/pith/JC4NXYBKTSMZPKQL2Q4AESZZML/bundle.json","state":"https://pith.science/pith/JC4NXYBKTSMZPKQL2Q4AESZZML/state.json","well_known_bundle":"https://pith.science/.well-known/pith/JC4NXYBKTSMZPKQL2Q4AESZZML/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:JC4NXYBKTSMZPKQL2Q4AESZZML","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":"d7d4c7c2545b78f714c5418ea237a14e92e371bab81788a6515e6a39b2520370","cross_cats_sorted":["physics.chem-ph"],"license":"http://creativecommons.org/licenses/by/3.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2011-01-27T13:24:23Z","title_canon_sha256":"171dd58a54d4b65db007d7d4903f61477d50afef204d90fb94392d8cb0f658ed"},"schema_version":"1.0","source":{"id":"1101.5280","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1101.5280","created_at":"2026-05-18T04:14:55Z"},{"alias_kind":"arxiv_version","alias_value":"1101.5280v3","created_at":"2026-05-18T04:14:55Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1101.5280","created_at":"2026-05-18T04:14:55Z"},{"alias_kind":"pith_short_12","alias_value":"JC4NXYBKTSMZ","created_at":"2026-05-18T12:26:32Z"},{"alias_kind":"pith_short_16","alias_value":"JC4NXYBKTSMZPKQL","created_at":"2026-05-18T12:26:32Z"},{"alias_kind":"pith_short_8","alias_value":"JC4NXYBK","created_at":"2026-05-18T12:26:32Z"}],"graph_snapshots":[{"event_id":"sha256:957ac4638731428827a9b6b5fab826953aa6c193fb13fe120d9b1034915e81be","target":"graph","created_at":"2026-05-18T04:14:55Z","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"},"paper":{"abstract_excerpt":"The principle of detailed balance states that in equilibrium each elementary process is equilibrated by its reverse process. For many real physico-chemical complex systems (e.g. homogeneous combustion, heterogeneous catalytic oxidation, most enzyme reactions etc), detailed mechanisms include both reversible and irreversible reactions. In this case, the principle of detailed balance cannot be applied directly. We represent irreversible reactions as limits of reversible steps and obtain the principle of detailed balance for complex mechanisms with some irreversible elementary processes. We prove","authors_text":"A.N. Gorban, G.S. Yablonsky","cross_cats":["physics.chem-ph"],"headline":"","license":"http://creativecommons.org/licenses/by/3.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2011-01-27T13:24:23Z","title":"Extended Detailed Balance for Systems with Irreversible Reactions"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1101.5280","kind":"arxiv","version":3},"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":"sha256:110733664d9c01fd5561d31eecf61befe98913a5ee94877977141a31378a65b1","target":"record","created_at":"2026-05-18T04:14:55Z","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":"d7d4c7c2545b78f714c5418ea237a14e92e371bab81788a6515e6a39b2520370","cross_cats_sorted":["physics.chem-ph"],"license":"http://creativecommons.org/licenses/by/3.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2011-01-27T13:24:23Z","title_canon_sha256":"171dd58a54d4b65db007d7d4903f61477d50afef204d90fb94392d8cb0f658ed"},"schema_version":"1.0","source":{"id":"1101.5280","kind":"arxiv","version":3}},"canonical_sha256":"48b8dbe02a9c9997aa0bd438024b3962db21ebfd9df1998e73b49f096f8c2692","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"48b8dbe02a9c9997aa0bd438024b3962db21ebfd9df1998e73b49f096f8c2692","first_computed_at":"2026-05-18T04:14:55.051877Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:14:55.051877Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"WNRbXuZlhAkydb1JcPRpKMPo0lVfxGd1JEbOZtD831kapqaOOM2q8a+RUQ9AIN95pQkq8MJ5rnF9DCXuchKxBg==","signature_status":"signed_v1","signed_at":"2026-05-18T04:14:55.052575Z","signed_message":"canonical_sha256_bytes"},"source_id":"1101.5280","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:110733664d9c01fd5561d31eecf61befe98913a5ee94877977141a31378a65b1","sha256:957ac4638731428827a9b6b5fab826953aa6c193fb13fe120d9b1034915e81be"],"state_sha256":"52929999cd2295944c9d6f5694a6f6f84c3b82122379f1079aef6f7482b5641b"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"MuvC8TslWqkOKEnzMlOe3PksPvz8jWnSIkbSI/67tIaBDSkyQF3sCNKqd7iK2X2RxXEa4SFVNJ1KSDVc73DLBg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-27T11:51:03.162084Z","bundle_sha256":"825f5591945844a3a807acb5a3b91962631d7066fdd692edffba034f203f95b2"}}