{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2015:SHOTZYNZ4BHMYB66SI3SOAU27X","short_pith_number":"pith:SHOTZYNZ","canonical_record":{"source":{"id":"1506.07797","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2015-06-25T15:49:47Z","cross_cats_sorted":["physics.chem-ph"],"title_canon_sha256":"d121e6b9d0bb6959a806e929822aff3040d9b42733e3f75a0beea5f3eef42573","abstract_canon_sha256":"0bb3a2cfadfcdaa0cfbe54c49472e211de0547dba8a6b1f71ce3c49c3747ebd2"},"schema_version":"1.0"},"canonical_sha256":"91dd3ce1b9e04ecc07de923727029afdf09f762bedc2ca7f4319568192586a50","source":{"kind":"arxiv","id":"1506.07797","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1506.07797","created_at":"2026-05-18T00:41:08Z"},{"alias_kind":"arxiv_version","alias_value":"1506.07797v2","created_at":"2026-05-18T00:41:08Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1506.07797","created_at":"2026-05-18T00:41:08Z"},{"alias_kind":"pith_short_12","alias_value":"SHOTZYNZ4BHM","created_at":"2026-05-18T12:29:42Z"},{"alias_kind":"pith_short_16","alias_value":"SHOTZYNZ4BHMYB66","created_at":"2026-05-18T12:29:42Z"},{"alias_kind":"pith_short_8","alias_value":"SHOTZYNZ","created_at":"2026-05-18T12:29:42Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2015:SHOTZYNZ4BHMYB66SI3SOAU27X","target":"record","payload":{"canonical_record":{"source":{"id":"1506.07797","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2015-06-25T15:49:47Z","cross_cats_sorted":["physics.chem-ph"],"title_canon_sha256":"d121e6b9d0bb6959a806e929822aff3040d9b42733e3f75a0beea5f3eef42573","abstract_canon_sha256":"0bb3a2cfadfcdaa0cfbe54c49472e211de0547dba8a6b1f71ce3c49c3747ebd2"},"schema_version":"1.0"},"canonical_sha256":"91dd3ce1b9e04ecc07de923727029afdf09f762bedc2ca7f4319568192586a50","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:41:08.435843Z","signature_b64":"iuqNuK1ui9Ec2SLL7wFZqWNJ82Kv/ScLtNS30mAh0Ls05h6R+XHvWcy/n1KyRaRyj70hAFdOmbi+iWCdRpwJCg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"91dd3ce1b9e04ecc07de923727029afdf09f762bedc2ca7f4319568192586a50","last_reissued_at":"2026-05-18T00:41:08.435428Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:41:08.435428Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1506.07797","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T00:41:08Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"bf3e3IC+55rGop/7skm3Xk6vwS64THy6D6yiGlTZZGLj5wnwJ0qS7dgOeIdLhaCq0++OpXK92mNnKSaPBYZHDg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-27T09:57:12.741167Z"},"content_sha256":"630dc21d097b991983e416105efa9b1e3b4892d1003998acf98327b34cd52221","schema_version":"1.0","event_id":"sha256:630dc21d097b991983e416105efa9b1e3b4892d1003998acf98327b34cd52221"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2015:SHOTZYNZ4BHMYB66SI3SOAU27X","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Diffusion approximations to the chemical master equation only have a consistent stochastic thermodynamics at chemical equilibrium","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["physics.chem-ph"],"primary_cat":"cond-mat.stat-mech","authors_text":"Jordan M. Horowitz","submitted_at":"2015-06-25T15:49:47Z","abstract_excerpt":"The stochastic thermodynamics of a dilute, well-stirred mixture of chemically-reacting species is built on the stochastic trajectories of reaction events obtained from the Chemical Master Equation. However, when the molecular populations are large, the discrete Chemical Master Equation can be approximated with a continuous diffusion process, like the Chemical Langevin Equation or Low Noise Approximation. In this paper, we investigate to what extent these diffusion approximations inherit the stochastic thermodynamics of the Chemical Master Equation. We find that a stochastic-thermodynamic descr"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1506.07797","kind":"arxiv","version":2},"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":"2026-05-18T00:41:08Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"7D4MN+jdz4oxIMP1Lf5aVo6IdYaoVVTUARdseQon0cn1VJkX6VzS99qu3ptD/GCZm0IC1PPpxM8klyaEfpneCg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-27T09:57:12.741810Z"},"content_sha256":"02432a901bf4c1d283036872c1a6a8fda3094bf2c6cf6a67314c0e095a8c4f55","schema_version":"1.0","event_id":"sha256:02432a901bf4c1d283036872c1a6a8fda3094bf2c6cf6a67314c0e095a8c4f55"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/SHOTZYNZ4BHMYB66SI3SOAU27X/bundle.json","state_url":"https://pith.science/pith/SHOTZYNZ4BHMYB66SI3SOAU27X/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/SHOTZYNZ4BHMYB66SI3SOAU27X/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":"2026-05-27T09:57:12Z","links":{"resolver":"https://pith.science/pith/SHOTZYNZ4BHMYB66SI3SOAU27X","bundle":"https://pith.science/pith/SHOTZYNZ4BHMYB66SI3SOAU27X/bundle.json","state":"https://pith.science/pith/SHOTZYNZ4BHMYB66SI3SOAU27X/state.json","well_known_bundle":"https://pith.science/.well-known/pith/SHOTZYNZ4BHMYB66SI3SOAU27X/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:SHOTZYNZ4BHMYB66SI3SOAU27X","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":"0bb3a2cfadfcdaa0cfbe54c49472e211de0547dba8a6b1f71ce3c49c3747ebd2","cross_cats_sorted":["physics.chem-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2015-06-25T15:49:47Z","title_canon_sha256":"d121e6b9d0bb6959a806e929822aff3040d9b42733e3f75a0beea5f3eef42573"},"schema_version":"1.0","source":{"id":"1506.07797","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1506.07797","created_at":"2026-05-18T00:41:08Z"},{"alias_kind":"arxiv_version","alias_value":"1506.07797v2","created_at":"2026-05-18T00:41:08Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1506.07797","created_at":"2026-05-18T00:41:08Z"},{"alias_kind":"pith_short_12","alias_value":"SHOTZYNZ4BHM","created_at":"2026-05-18T12:29:42Z"},{"alias_kind":"pith_short_16","alias_value":"SHOTZYNZ4BHMYB66","created_at":"2026-05-18T12:29:42Z"},{"alias_kind":"pith_short_8","alias_value":"SHOTZYNZ","created_at":"2026-05-18T12:29:42Z"}],"graph_snapshots":[{"event_id":"sha256:02432a901bf4c1d283036872c1a6a8fda3094bf2c6cf6a67314c0e095a8c4f55","target":"graph","created_at":"2026-05-18T00:41:08Z","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 stochastic thermodynamics of a dilute, well-stirred mixture of chemically-reacting species is built on the stochastic trajectories of reaction events obtained from the Chemical Master Equation. However, when the molecular populations are large, the discrete Chemical Master Equation can be approximated with a continuous diffusion process, like the Chemical Langevin Equation or Low Noise Approximation. In this paper, we investigate to what extent these diffusion approximations inherit the stochastic thermodynamics of the Chemical Master Equation. We find that a stochastic-thermodynamic descr","authors_text":"Jordan M. Horowitz","cross_cats":["physics.chem-ph"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2015-06-25T15:49:47Z","title":"Diffusion approximations to the chemical master equation only have a consistent stochastic thermodynamics at chemical equilibrium"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1506.07797","kind":"arxiv","version":2},"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":"sha256:630dc21d097b991983e416105efa9b1e3b4892d1003998acf98327b34cd52221","target":"record","created_at":"2026-05-18T00:41:08Z","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":"0bb3a2cfadfcdaa0cfbe54c49472e211de0547dba8a6b1f71ce3c49c3747ebd2","cross_cats_sorted":["physics.chem-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2015-06-25T15:49:47Z","title_canon_sha256":"d121e6b9d0bb6959a806e929822aff3040d9b42733e3f75a0beea5f3eef42573"},"schema_version":"1.0","source":{"id":"1506.07797","kind":"arxiv","version":2}},"canonical_sha256":"91dd3ce1b9e04ecc07de923727029afdf09f762bedc2ca7f4319568192586a50","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"91dd3ce1b9e04ecc07de923727029afdf09f762bedc2ca7f4319568192586a50","first_computed_at":"2026-05-18T00:41:08.435428Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:41:08.435428Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"iuqNuK1ui9Ec2SLL7wFZqWNJ82Kv/ScLtNS30mAh0Ls05h6R+XHvWcy/n1KyRaRyj70hAFdOmbi+iWCdRpwJCg==","signature_status":"signed_v1","signed_at":"2026-05-18T00:41:08.435843Z","signed_message":"canonical_sha256_bytes"},"source_id":"1506.07797","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:630dc21d097b991983e416105efa9b1e3b4892d1003998acf98327b34cd52221","sha256:02432a901bf4c1d283036872c1a6a8fda3094bf2c6cf6a67314c0e095a8c4f55"],"state_sha256":"47303645c7fb0bcc15363896cb2f4732991f8182c1a2297250a695b4e25601d4"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"+PzBvOC4FVrmLptYwAJeKz2I+OMatBty6GKle6/erzNxtNZdfWrSMS3JJQeSQoHeAmIz07JOWADjvB5Rn48yBQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-27T09:57:12.745425Z","bundle_sha256":"e139fa923c576eafdc8d21bfcd23075ce44e8fa1ce516b49b4dd433d20be24ab"}}