{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2010:MUT6DZGQBNWO6QCYGRNFU2BSTD","short_pith_number":"pith:MUT6DZGQ","canonical_record":{"source":{"id":"1006.1124","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nucl-th","submitted_at":"2010-06-06T17:53:19Z","cross_cats_sorted":[],"title_canon_sha256":"e509a9e191a128d10b2a38973411f03fa1591dc54e854c11ca959652477f2749","abstract_canon_sha256":"da6433efafbc70e8f77a650dd09bac531ac07f5c51ae2a28610085c344029e33"},"schema_version":"1.0"},"canonical_sha256":"6527e1e4d00b6cef4058345a5a683298ed71e65e272dfed472a25860c671db41","source":{"kind":"arxiv","id":"1006.1124","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1006.1124","created_at":"2026-05-18T04:13:05Z"},{"alias_kind":"arxiv_version","alias_value":"1006.1124v1","created_at":"2026-05-18T04:13:05Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1006.1124","created_at":"2026-05-18T04:13:05Z"},{"alias_kind":"pith_short_12","alias_value":"MUT6DZGQBNWO","created_at":"2026-05-18T12:26:10Z"},{"alias_kind":"pith_short_16","alias_value":"MUT6DZGQBNWO6QCY","created_at":"2026-05-18T12:26:10Z"},{"alias_kind":"pith_short_8","alias_value":"MUT6DZGQ","created_at":"2026-05-18T12:26:10Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2010:MUT6DZGQBNWO6QCYGRNFU2BSTD","target":"record","payload":{"canonical_record":{"source":{"id":"1006.1124","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nucl-th","submitted_at":"2010-06-06T17:53:19Z","cross_cats_sorted":[],"title_canon_sha256":"e509a9e191a128d10b2a38973411f03fa1591dc54e854c11ca959652477f2749","abstract_canon_sha256":"da6433efafbc70e8f77a650dd09bac531ac07f5c51ae2a28610085c344029e33"},"schema_version":"1.0"},"canonical_sha256":"6527e1e4d00b6cef4058345a5a683298ed71e65e272dfed472a25860c671db41","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:13:05.798771Z","signature_b64":"AGAAG+lDyGtpCtVqLrg5MsTAneDQHLLiSKuNh56k+lDNy22Z2RhUSMXcuCqZUXLvR5mD0g2jsgdChsIjwGSIBg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"6527e1e4d00b6cef4058345a5a683298ed71e65e272dfed472a25860c671db41","last_reissued_at":"2026-05-18T04:13:05.798404Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:13:05.798404Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1006.1124","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":"2026-05-18T04:13:05Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"3eXn4bZ4qld64GxmyrNxFQumZ2hwSI7SHHqxB01dRUf0mW6mqLeOG1Loau72kOW2H1XfUiBA2m/6+uoRdiHIDQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-02T15:19:35.631155Z"},"content_sha256":"a521da4e9cf7fe5590f11ea67fbbbfb2a8bfae6bed332f36e05cf3f379db7e14","schema_version":"1.0","event_id":"sha256:a521da4e9cf7fe5590f11ea67fbbbfb2a8bfae6bed332f36e05cf3f379db7e14"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2010:MUT6DZGQBNWO6QCYGRNFU2BSTD","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Entropy current for the relativistic Kadanoff-Baym equation and H-theorem in $O(N)$ theory with NLO self-energy of $1/N$ expansion","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"nucl-th","authors_text":"A. Nishiyama, A. Ohnishi","submitted_at":"2010-06-06T17:53:19Z","abstract_excerpt":"We derive an expression of the kinetic entropy current in the nonequilibrium $O(N)$ scalar theory from the Schwinger-Dyson (Kadanoff-Baym) equation with the 1st order gradient expansion. We show that our kinetic entropy satisfies the H-theorem for the leading order of the gradient expansion with the next-to-leading order self-energy of the $1/N$ expansion in the symmetric phase, and that entropy production occurs as the Green's function evolves with an nonzero collision term. Entropy production stops at local thermal equilibrium where the collision term contribution vanishes and the maximal en"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1006.1124","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":"2026-05-18T04:13:05Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"uAjUgzb5bdddqCmvQoIHy5M9obWT7kbS5S4BHIY8uuZj5qFdrLmqybGLKk/4Ewl0f3JtwYInCPhIBeLZQ8h1CQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-02T15:19:35.631513Z"},"content_sha256":"3c467d62c7c53f01703c0bcc6401e42c89faa6cab9c5a2c49f3170794721b0e0","schema_version":"1.0","event_id":"sha256:3c467d62c7c53f01703c0bcc6401e42c89faa6cab9c5a2c49f3170794721b0e0"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/MUT6DZGQBNWO6QCYGRNFU2BSTD/bundle.json","state_url":"https://pith.science/pith/MUT6DZGQBNWO6QCYGRNFU2BSTD/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/MUT6DZGQBNWO6QCYGRNFU2BSTD/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":"2026-06-02T15:19:35Z","links":{"resolver":"https://pith.science/pith/MUT6DZGQBNWO6QCYGRNFU2BSTD","bundle":"https://pith.science/pith/MUT6DZGQBNWO6QCYGRNFU2BSTD/bundle.json","state":"https://pith.science/pith/MUT6DZGQBNWO6QCYGRNFU2BSTD/state.json","well_known_bundle":"https://pith.science/.well-known/pith/MUT6DZGQBNWO6QCYGRNFU2BSTD/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2010:MUT6DZGQBNWO6QCYGRNFU2BSTD","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":"da6433efafbc70e8f77a650dd09bac531ac07f5c51ae2a28610085c344029e33","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nucl-th","submitted_at":"2010-06-06T17:53:19Z","title_canon_sha256":"e509a9e191a128d10b2a38973411f03fa1591dc54e854c11ca959652477f2749"},"schema_version":"1.0","source":{"id":"1006.1124","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1006.1124","created_at":"2026-05-18T04:13:05Z"},{"alias_kind":"arxiv_version","alias_value":"1006.1124v1","created_at":"2026-05-18T04:13:05Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1006.1124","created_at":"2026-05-18T04:13:05Z"},{"alias_kind":"pith_short_12","alias_value":"MUT6DZGQBNWO","created_at":"2026-05-18T12:26:10Z"},{"alias_kind":"pith_short_16","alias_value":"MUT6DZGQBNWO6QCY","created_at":"2026-05-18T12:26:10Z"},{"alias_kind":"pith_short_8","alias_value":"MUT6DZGQ","created_at":"2026-05-18T12:26:10Z"}],"graph_snapshots":[{"event_id":"sha256:3c467d62c7c53f01703c0bcc6401e42c89faa6cab9c5a2c49f3170794721b0e0","target":"graph","created_at":"2026-05-18T04:13:05Z","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 derive an expression of the kinetic entropy current in the nonequilibrium $O(N)$ scalar theory from the Schwinger-Dyson (Kadanoff-Baym) equation with the 1st order gradient expansion. We show that our kinetic entropy satisfies the H-theorem for the leading order of the gradient expansion with the next-to-leading order self-energy of the $1/N$ expansion in the symmetric phase, and that entropy production occurs as the Green's function evolves with an nonzero collision term. Entropy production stops at local thermal equilibrium where the collision term contribution vanishes and the maximal en","authors_text":"A. Nishiyama, A. Ohnishi","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nucl-th","submitted_at":"2010-06-06T17:53:19Z","title":"Entropy current for the relativistic Kadanoff-Baym equation and H-theorem in $O(N)$ theory with NLO self-energy of $1/N$ expansion"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1006.1124","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:a521da4e9cf7fe5590f11ea67fbbbfb2a8bfae6bed332f36e05cf3f379db7e14","target":"record","created_at":"2026-05-18T04:13:05Z","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":"da6433efafbc70e8f77a650dd09bac531ac07f5c51ae2a28610085c344029e33","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nucl-th","submitted_at":"2010-06-06T17:53:19Z","title_canon_sha256":"e509a9e191a128d10b2a38973411f03fa1591dc54e854c11ca959652477f2749"},"schema_version":"1.0","source":{"id":"1006.1124","kind":"arxiv","version":1}},"canonical_sha256":"6527e1e4d00b6cef4058345a5a683298ed71e65e272dfed472a25860c671db41","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"6527e1e4d00b6cef4058345a5a683298ed71e65e272dfed472a25860c671db41","first_computed_at":"2026-05-18T04:13:05.798404Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:13:05.798404Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"AGAAG+lDyGtpCtVqLrg5MsTAneDQHLLiSKuNh56k+lDNy22Z2RhUSMXcuCqZUXLvR5mD0g2jsgdChsIjwGSIBg==","signature_status":"signed_v1","signed_at":"2026-05-18T04:13:05.798771Z","signed_message":"canonical_sha256_bytes"},"source_id":"1006.1124","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:a521da4e9cf7fe5590f11ea67fbbbfb2a8bfae6bed332f36e05cf3f379db7e14","sha256:3c467d62c7c53f01703c0bcc6401e42c89faa6cab9c5a2c49f3170794721b0e0"],"state_sha256":"9f263a292c8a13ea3b39220fbe74c773767abd722900b1bd6daea4ceb6e5c5c2"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Tccrqfra3SDHI2O5qCJprhe6GIqFlS2ggXLoZ0MExuIE3XSspDIBtQR49NPLUv6qYb1Z3jlsCGFiOLJIxY9HAg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-02T15:19:35.633451Z","bundle_sha256":"6f48f43cad838657875d9991dd53e84b3870cfd2c3ed0629dc44b06cf261dc43"}}