{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:1996:75FLZI5BGBGO7G4FT6HUYFFPEV","short_pith_number":"pith:75FLZI5B","schema_version":"1.0","canonical_sha256":"ff4abca3a1304cef9b859f8f4c14af2546571586c065528acb680fb4304561ad","source":{"kind":"arxiv","id":"hep-th/9612206","version":1},"attestation_state":"computed","paper":{"title":"Time Evolution of Non-Equilibrium Effective Action","license":"","headline":"","cross_cats":["cond-mat"],"primary_cat":"hep-th","authors_text":"Christof Wetterich (ITP, U Heidelberg)","submitted_at":"1996-12-19T18:16:27Z","abstract_excerpt":"The time evolution of correlation functions in statistical systems is described by an exact functional differential equation for the corresponding generating functionals. This allows for a systematic discussion of non-equilibrium physics and the approach to equilibrium without the need of solving the nonlinear microscopic equations of motion or computing the time dependence of the probability distribution explicitly."},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"hep-th/9612206","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"hep-th","submitted_at":"1996-12-19T18:16:27Z","cross_cats_sorted":["cond-mat"],"title_canon_sha256":"f196dd8deef547ebfc1b7074d61faeb7b427b800b6b80a068ea0290e7ec4de22","abstract_canon_sha256":"b41e5f3c2af087b574fb8a10cbf43d71616ec51e40a60bb3b83dd8b60cba24a5"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-04T16:02:27.929743Z","signature_b64":"CtUH+L5BAw7tv5yU9a5MFYgX15g+4BtZ8Gcz/C+fK0dYNnAnR4LF/uGEG2ysENFh2EFnTKT1BSXb7uvemjBMAg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"ff4abca3a1304cef9b859f8f4c14af2546571586c065528acb680fb4304561ad","last_reissued_at":"2026-07-04T16:02:27.929399Z","signature_status":"signed_v1","first_computed_at":"2026-07-04T16:02:27.929399Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Time Evolution of Non-Equilibrium Effective Action","license":"","headline":"","cross_cats":["cond-mat"],"primary_cat":"hep-th","authors_text":"Christof Wetterich (ITP, U Heidelberg)","submitted_at":"1996-12-19T18:16:27Z","abstract_excerpt":"The time evolution of correlation functions in statistical systems is described by an exact functional differential equation for the corresponding generating functionals. This allows for a systematic discussion of non-equilibrium physics and the approach to equilibrium without the need of solving the nonlinear microscopic equations of motion or computing the time dependence of the probability distribution explicitly."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-th/9612206","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/hep-th/9612206/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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"},"aliases":[{"alias_kind":"arxiv","alias_value":"hep-th/9612206","created_at":"2026-07-04T16:02:27.929454+00:00"},{"alias_kind":"arxiv_version","alias_value":"hep-th/9612206v1","created_at":"2026-07-04T16:02:27.929454+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-th/9612206","created_at":"2026-07-04T16:02:27.929454+00:00"},{"alias_kind":"pith_short_12","alias_value":"75FLZI5BGBGO","created_at":"2026-07-04T16:02:27.929454+00:00"},{"alias_kind":"pith_short_16","alias_value":"75FLZI5BGBGO7G4F","created_at":"2026-07-04T16:02:27.929454+00:00"},{"alias_kind":"pith_short_8","alias_value":"75FLZI5B","created_at":"2026-07-04T16:02:27.929454+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":1,"internal_anchor_count":1,"sample":[{"citing_arxiv_id":"2605.15969","citing_title":"Quantum mechanics for classical transport equations","ref_index":38,"is_internal_anchor":true}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/75FLZI5BGBGO7G4FT6HUYFFPEV","json":"https://pith.science/pith/75FLZI5BGBGO7G4FT6HUYFFPEV.json","graph_json":"https://pith.science/api/pith-number/75FLZI5BGBGO7G4FT6HUYFFPEV/graph.json","events_json":"https://pith.science/api/pith-number/75FLZI5BGBGO7G4FT6HUYFFPEV/events.json","paper":"https://pith.science/paper/75FLZI5B"},"agent_actions":{"view_html":"https://pith.science/pith/75FLZI5BGBGO7G4FT6HUYFFPEV","download_json":"https://pith.science/pith/75FLZI5BGBGO7G4FT6HUYFFPEV.json","view_paper":"https://pith.science/paper/75FLZI5B","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=hep-th/9612206&json=true","fetch_graph":"https://pith.science/api/pith-number/75FLZI5BGBGO7G4FT6HUYFFPEV/graph.json","fetch_events":"https://pith.science/api/pith-number/75FLZI5BGBGO7G4FT6HUYFFPEV/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/75FLZI5BGBGO7G4FT6HUYFFPEV/action/timestamp_anchor","attest_storage":"https://pith.science/pith/75FLZI5BGBGO7G4FT6HUYFFPEV/action/storage_attestation","attest_author":"https://pith.science/pith/75FLZI5BGBGO7G4FT6HUYFFPEV/action/author_attestation","sign_citation":"https://pith.science/pith/75FLZI5BGBGO7G4FT6HUYFFPEV/action/citation_signature","submit_replication":"https://pith.science/pith/75FLZI5BGBGO7G4FT6HUYFFPEV/action/replication_record"}},"created_at":"2026-07-04T16:02:27.929454+00:00","updated_at":"2026-07-04T16:02:27.929454+00:00"}