{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2007:77UZ3Y5F4IMPUCRSNFJYLDDOVQ","short_pith_number":"pith:77UZ3Y5F","canonical_record":{"source":{"id":"0708.2953","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2007-08-22T04:02:50Z","cross_cats_sorted":["cond-mat.soft","q-bio.MN"],"title_canon_sha256":"466a6b520d01b3f3c5084f5de28cc21a7c69972f538a329a652a6f36b8bc7d79","abstract_canon_sha256":"d1ff9cc2e628d428e46f5aeba2125d8a56def7e32e9826f3a1234cc142c100b4"},"schema_version":"1.0"},"canonical_sha256":"ffe99de3a5e218fa0a326953858c6eac32d7c9c3fd62bb6b877771480807abbc","source":{"kind":"arxiv","id":"0708.2953","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0708.2953","created_at":"2026-05-18T03:24:19Z"},{"alias_kind":"arxiv_version","alias_value":"0708.2953v2","created_at":"2026-05-18T03:24:19Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0708.2953","created_at":"2026-05-18T03:24:19Z"},{"alias_kind":"pith_short_12","alias_value":"77UZ3Y5F4IMP","created_at":"2026-05-18T12:25:55Z"},{"alias_kind":"pith_short_16","alias_value":"77UZ3Y5F4IMPUCRS","created_at":"2026-05-18T12:25:55Z"},{"alias_kind":"pith_short_8","alias_value":"77UZ3Y5F","created_at":"2026-05-18T12:25:55Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2007:77UZ3Y5F4IMPUCRSNFJYLDDOVQ","target":"record","payload":{"canonical_record":{"source":{"id":"0708.2953","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2007-08-22T04:02:50Z","cross_cats_sorted":["cond-mat.soft","q-bio.MN"],"title_canon_sha256":"466a6b520d01b3f3c5084f5de28cc21a7c69972f538a329a652a6f36b8bc7d79","abstract_canon_sha256":"d1ff9cc2e628d428e46f5aeba2125d8a56def7e32e9826f3a1234cc142c100b4"},"schema_version":"1.0"},"canonical_sha256":"ffe99de3a5e218fa0a326953858c6eac32d7c9c3fd62bb6b877771480807abbc","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:24:19.066949Z","signature_b64":"q3M1Pk+gOEceVfpDidO7X0SUpiPPC4bdbDs6M1BXQLWtPINgyXe/ihl5EAHo6MvCrsHs1qphNDMymEocxFXCDw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"ffe99de3a5e218fa0a326953858c6eac32d7c9c3fd62bb6b877771480807abbc","last_reissued_at":"2026-05-18T03:24:19.066255Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:24:19.066255Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"0708.2953","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":"2026-05-18T03:24:19Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"RA1btQ2eIqnYO+Yo6D5olerXN3Chm4nFsNWVztleCzcB3cIsIalJbjeMI1FwA+UllL7e72IdseW04o4t3tlKBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-24T20:03:12.498412Z"},"content_sha256":"e7cec140a104e22a1ad40628ebd8b2145256a8333faf0e3ad63155cb769d4434","schema_version":"1.0","event_id":"sha256:e7cec140a104e22a1ad40628ebd8b2145256a8333faf0e3ad63155cb769d4434"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2007:77UZ3Y5F4IMPUCRSNFJYLDDOVQ","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Equilibrium-like behavior in far-from-equilibrium chemical reaction networks","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.soft","q-bio.MN"],"primary_cat":"cond-mat.stat-mech","authors_text":"David K. Lubensky","submitted_at":"2007-08-22T04:02:50Z","abstract_excerpt":"In an equilibrium chemical reaction mixture, the number of molecules present obeys a Poisson distribution. We ask when the same is true of the steady state of a nonequilibrium reaction network and obtain an essentially complete answer. In particular, we show that networks with certain topological features must have a Poisson distribution, whatever the reaction rates. Such driven systems also obey an analog of the fluctuation-dissipation theorem. Our results may be relevant to biological systems and to the larger question of how equilibrium concepts might apply to nonequilibrium systems."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0708.2953","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":"2026-05-18T03:24:19Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"jErsHbdmBXrU1ZYlfu+IAhYIQvsryH7ZuXMqqGj8uUPT0W4VFV4RqHIgkipMMsdh1ZSMkiWYe24ynoQziiMHAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-24T20:03:12.498772Z"},"content_sha256":"a369dacb9be3afd4b68a7c5d4a319d86d60e0dc2153a2fc9c73e84db76599ec5","schema_version":"1.0","event_id":"sha256:a369dacb9be3afd4b68a7c5d4a319d86d60e0dc2153a2fc9c73e84db76599ec5"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/77UZ3Y5F4IMPUCRSNFJYLDDOVQ/bundle.json","state_url":"https://pith.science/pith/77UZ3Y5F4IMPUCRSNFJYLDDOVQ/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/77UZ3Y5F4IMPUCRSNFJYLDDOVQ/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":"2026-06-24T20:03:12Z","links":{"resolver":"https://pith.science/pith/77UZ3Y5F4IMPUCRSNFJYLDDOVQ","bundle":"https://pith.science/pith/77UZ3Y5F4IMPUCRSNFJYLDDOVQ/bundle.json","state":"https://pith.science/pith/77UZ3Y5F4IMPUCRSNFJYLDDOVQ/state.json","well_known_bundle":"https://pith.science/.well-known/pith/77UZ3Y5F4IMPUCRSNFJYLDDOVQ/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2007:77UZ3Y5F4IMPUCRSNFJYLDDOVQ","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":"d1ff9cc2e628d428e46f5aeba2125d8a56def7e32e9826f3a1234cc142c100b4","cross_cats_sorted":["cond-mat.soft","q-bio.MN"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2007-08-22T04:02:50Z","title_canon_sha256":"466a6b520d01b3f3c5084f5de28cc21a7c69972f538a329a652a6f36b8bc7d79"},"schema_version":"1.0","source":{"id":"0708.2953","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0708.2953","created_at":"2026-05-18T03:24:19Z"},{"alias_kind":"arxiv_version","alias_value":"0708.2953v2","created_at":"2026-05-18T03:24:19Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0708.2953","created_at":"2026-05-18T03:24:19Z"},{"alias_kind":"pith_short_12","alias_value":"77UZ3Y5F4IMP","created_at":"2026-05-18T12:25:55Z"},{"alias_kind":"pith_short_16","alias_value":"77UZ3Y5F4IMPUCRS","created_at":"2026-05-18T12:25:55Z"},{"alias_kind":"pith_short_8","alias_value":"77UZ3Y5F","created_at":"2026-05-18T12:25:55Z"}],"graph_snapshots":[{"event_id":"sha256:a369dacb9be3afd4b68a7c5d4a319d86d60e0dc2153a2fc9c73e84db76599ec5","target":"graph","created_at":"2026-05-18T03:24:19Z","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":"In an equilibrium chemical reaction mixture, the number of molecules present obeys a Poisson distribution. We ask when the same is true of the steady state of a nonequilibrium reaction network and obtain an essentially complete answer. In particular, we show that networks with certain topological features must have a Poisson distribution, whatever the reaction rates. Such driven systems also obey an analog of the fluctuation-dissipation theorem. Our results may be relevant to biological systems and to the larger question of how equilibrium concepts might apply to nonequilibrium systems.","authors_text":"David K. Lubensky","cross_cats":["cond-mat.soft","q-bio.MN"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2007-08-22T04:02:50Z","title":"Equilibrium-like behavior in far-from-equilibrium chemical reaction networks"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0708.2953","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:e7cec140a104e22a1ad40628ebd8b2145256a8333faf0e3ad63155cb769d4434","target":"record","created_at":"2026-05-18T03:24:19Z","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":"d1ff9cc2e628d428e46f5aeba2125d8a56def7e32e9826f3a1234cc142c100b4","cross_cats_sorted":["cond-mat.soft","q-bio.MN"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2007-08-22T04:02:50Z","title_canon_sha256":"466a6b520d01b3f3c5084f5de28cc21a7c69972f538a329a652a6f36b8bc7d79"},"schema_version":"1.0","source":{"id":"0708.2953","kind":"arxiv","version":2}},"canonical_sha256":"ffe99de3a5e218fa0a326953858c6eac32d7c9c3fd62bb6b877771480807abbc","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"ffe99de3a5e218fa0a326953858c6eac32d7c9c3fd62bb6b877771480807abbc","first_computed_at":"2026-05-18T03:24:19.066255Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:24:19.066255Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"q3M1Pk+gOEceVfpDidO7X0SUpiPPC4bdbDs6M1BXQLWtPINgyXe/ihl5EAHo6MvCrsHs1qphNDMymEocxFXCDw==","signature_status":"signed_v1","signed_at":"2026-05-18T03:24:19.066949Z","signed_message":"canonical_sha256_bytes"},"source_id":"0708.2953","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:e7cec140a104e22a1ad40628ebd8b2145256a8333faf0e3ad63155cb769d4434","sha256:a369dacb9be3afd4b68a7c5d4a319d86d60e0dc2153a2fc9c73e84db76599ec5"],"state_sha256":"c99881b713165876cd74704551800b2b10e18ad77829df595c0a8e317811e54c"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"WiPNBqs18EaGb988AV5JDUrwyAv/qDVrmA1NQllTkuwqmoWxf/zad2h7bzWmVkLuK+V6un19KNwP0+X1S5CmAg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-24T20:03:12.500917Z","bundle_sha256":"fe39bd2a99117cfb20ba314536828bb610e5ddbf867982390471930fbd1300ce"}}