{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2007:6ER4NEVTRKEPTILRT2CJYPWYBI","short_pith_number":"pith:6ER4NEVT","canonical_record":{"source":{"id":"0704.3742","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"cond-mat.stat-mech","submitted_at":"2007-04-27T20:11:08Z","cross_cats_sorted":[],"title_canon_sha256":"b85305e180435be2ae5a7ea7977312ff2a114324f41df798f8f1482def3ec41b","abstract_canon_sha256":"453062e98075cf91c200c77f062758173fdf2878a3a7a5ca64dbece941931215"},"schema_version":"1.0"},"canonical_sha256":"f123c692b38a88f9a1719e849c3ed80a0a6daec714533c7819926c1b30035dd6","source":{"kind":"arxiv","id":"0704.3742","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0704.3742","created_at":"2026-05-18T02:16:31Z"},{"alias_kind":"arxiv_version","alias_value":"0704.3742v1","created_at":"2026-05-18T02:16:31Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0704.3742","created_at":"2026-05-18T02:16:31Z"},{"alias_kind":"pith_short_12","alias_value":"6ER4NEVTRKEP","created_at":"2026-05-18T12:25:55Z"},{"alias_kind":"pith_short_16","alias_value":"6ER4NEVTRKEPTILR","created_at":"2026-05-18T12:25:55Z"},{"alias_kind":"pith_short_8","alias_value":"6ER4NEVT","created_at":"2026-05-18T12:25:55Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2007:6ER4NEVTRKEPTILRT2CJYPWYBI","target":"record","payload":{"canonical_record":{"source":{"id":"0704.3742","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"cond-mat.stat-mech","submitted_at":"2007-04-27T20:11:08Z","cross_cats_sorted":[],"title_canon_sha256":"b85305e180435be2ae5a7ea7977312ff2a114324f41df798f8f1482def3ec41b","abstract_canon_sha256":"453062e98075cf91c200c77f062758173fdf2878a3a7a5ca64dbece941931215"},"schema_version":"1.0"},"canonical_sha256":"f123c692b38a88f9a1719e849c3ed80a0a6daec714533c7819926c1b30035dd6","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:16:31.345686Z","signature_b64":"gcBWIOK3fLSAsb0NwAG+oyoy2EXsDVq7QgAVF1pvtZ8LVPi1g0jyilfrSV91HbDsL9Vol/w9j+TmF1YkUXl9CQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"f123c692b38a88f9a1719e849c3ed80a0a6daec714533c7819926c1b30035dd6","last_reissued_at":"2026-05-18T02:16:31.345013Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:16:31.345013Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"0704.3742","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":"2026-05-18T02:16:31Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"MWOtSIGmYJKZ2SAmy16gXBpIQhqOz8J8Vb9kdieNDnuQ1sVxt3JIg3M97GasLZtLXypawd3zs8mLM18ohaUMCw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-22T19:27:36.275184Z"},"content_sha256":"40d6ade1b6240640e9b89abe8b54c3a90f025536c73db6d17e41ac895c5654e0","schema_version":"1.0","event_id":"sha256:40d6ade1b6240640e9b89abe8b54c3a90f025536c73db6d17e41ac895c5654e0"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2007:6ER4NEVTRKEPTILRT2CJYPWYBI","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Entropy of Open Lattice Systems","license":"","headline":"","cross_cats":[],"primary_cat":"cond-mat.stat-mech","authors_text":"B. Derrida, E. R. Speer, J. L. Lebowitz","submitted_at":"2007-04-27T20:11:08Z","abstract_excerpt":"We investigate the behavior of the Gibbs-Shannon entropy of the stationary nonequilibrium measure describing a one-dimensional lattice gas, of L sites, with symmetric exclusion dynamics and in contact with particle reservoirs at different densities. In the hydrodynamic scaling limit, L to infinity, the leading order (O(L)) behavior of this entropy has been shown by Bahadoran to be that of a product measure corresponding to strict local equilibrium; we compute the first correction, which is O(1). The computation uses a formal expansion of the entropy in terms of truncated correlation functions;"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0704.3742","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":""},"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":"2026-05-18T02:16:31Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"6+oTegBK1zLwKj87ovM+xFXuigw92AMA4LK0Tc5kuaHFWvI9KQSUHD0xderEUd5EBQCdOoB0R1rQOgZ2MazuBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-22T19:27:36.275540Z"},"content_sha256":"f753e03e908137601c259dff8ec4edb243e54722b67f7a845285c1969fc7c90b","schema_version":"1.0","event_id":"sha256:f753e03e908137601c259dff8ec4edb243e54722b67f7a845285c1969fc7c90b"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/6ER4NEVTRKEPTILRT2CJYPWYBI/bundle.json","state_url":"https://pith.science/pith/6ER4NEVTRKEPTILRT2CJYPWYBI/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/6ER4NEVTRKEPTILRT2CJYPWYBI/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":"2026-06-22T19:27:36Z","links":{"resolver":"https://pith.science/pith/6ER4NEVTRKEPTILRT2CJYPWYBI","bundle":"https://pith.science/pith/6ER4NEVTRKEPTILRT2CJYPWYBI/bundle.json","state":"https://pith.science/pith/6ER4NEVTRKEPTILRT2CJYPWYBI/state.json","well_known_bundle":"https://pith.science/.well-known/pith/6ER4NEVTRKEPTILRT2CJYPWYBI/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2007:6ER4NEVTRKEPTILRT2CJYPWYBI","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":"453062e98075cf91c200c77f062758173fdf2878a3a7a5ca64dbece941931215","cross_cats_sorted":[],"license":"","primary_cat":"cond-mat.stat-mech","submitted_at":"2007-04-27T20:11:08Z","title_canon_sha256":"b85305e180435be2ae5a7ea7977312ff2a114324f41df798f8f1482def3ec41b"},"schema_version":"1.0","source":{"id":"0704.3742","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0704.3742","created_at":"2026-05-18T02:16:31Z"},{"alias_kind":"arxiv_version","alias_value":"0704.3742v1","created_at":"2026-05-18T02:16:31Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0704.3742","created_at":"2026-05-18T02:16:31Z"},{"alias_kind":"pith_short_12","alias_value":"6ER4NEVTRKEP","created_at":"2026-05-18T12:25:55Z"},{"alias_kind":"pith_short_16","alias_value":"6ER4NEVTRKEPTILR","created_at":"2026-05-18T12:25:55Z"},{"alias_kind":"pith_short_8","alias_value":"6ER4NEVT","created_at":"2026-05-18T12:25:55Z"}],"graph_snapshots":[{"event_id":"sha256:f753e03e908137601c259dff8ec4edb243e54722b67f7a845285c1969fc7c90b","target":"graph","created_at":"2026-05-18T02:16:31Z","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":"We investigate the behavior of the Gibbs-Shannon entropy of the stationary nonequilibrium measure describing a one-dimensional lattice gas, of L sites, with symmetric exclusion dynamics and in contact with particle reservoirs at different densities. In the hydrodynamic scaling limit, L to infinity, the leading order (O(L)) behavior of this entropy has been shown by Bahadoran to be that of a product measure corresponding to strict local equilibrium; we compute the first correction, which is O(1). The computation uses a formal expansion of the entropy in terms of truncated correlation functions;","authors_text":"B. Derrida, E. R. Speer, J. L. Lebowitz","cross_cats":[],"headline":"","license":"","primary_cat":"cond-mat.stat-mech","submitted_at":"2007-04-27T20:11:08Z","title":"Entropy of Open Lattice Systems"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0704.3742","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":"sha256:40d6ade1b6240640e9b89abe8b54c3a90f025536c73db6d17e41ac895c5654e0","target":"record","created_at":"2026-05-18T02:16:31Z","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":"453062e98075cf91c200c77f062758173fdf2878a3a7a5ca64dbece941931215","cross_cats_sorted":[],"license":"","primary_cat":"cond-mat.stat-mech","submitted_at":"2007-04-27T20:11:08Z","title_canon_sha256":"b85305e180435be2ae5a7ea7977312ff2a114324f41df798f8f1482def3ec41b"},"schema_version":"1.0","source":{"id":"0704.3742","kind":"arxiv","version":1}},"canonical_sha256":"f123c692b38a88f9a1719e849c3ed80a0a6daec714533c7819926c1b30035dd6","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"f123c692b38a88f9a1719e849c3ed80a0a6daec714533c7819926c1b30035dd6","first_computed_at":"2026-05-18T02:16:31.345013Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:16:31.345013Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"gcBWIOK3fLSAsb0NwAG+oyoy2EXsDVq7QgAVF1pvtZ8LVPi1g0jyilfrSV91HbDsL9Vol/w9j+TmF1YkUXl9CQ==","signature_status":"signed_v1","signed_at":"2026-05-18T02:16:31.345686Z","signed_message":"canonical_sha256_bytes"},"source_id":"0704.3742","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:40d6ade1b6240640e9b89abe8b54c3a90f025536c73db6d17e41ac895c5654e0","sha256:f753e03e908137601c259dff8ec4edb243e54722b67f7a845285c1969fc7c90b"],"state_sha256":"39c6c4d610400e060d5028d8968e8fe1f90292be6489843a83865cef0621d531"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"bO/NMBUxaWR5T3vmPZ+arm1qFE34CE1SUwOYg+j0+Znybl9EzB/dRjayEMJa3ODMchy8OeZ99T3FytDC/EjWBQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-22T19:27:36.277778Z","bundle_sha256":"84b0fddf2f4f5bf13535d7b96aaa62fb5ecc8c41e80df732f1ea2865b3497b82"}}