{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2001:5DTCR53PWDXEBWIAS3DVTGXSWR","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":"0fff52b05908ff1a73b9e27bcd37dbd420ba026593d5bcb87feb6b4e9602574e","cross_cats_sorted":["cond-mat.dis-nn","q-bio"],"license":"","primary_cat":"cond-mat.stat-mech","submitted_at":"2001-07-19T08:03:56Z","title_canon_sha256":"2e0ce971db9f36df25f090e2de26482b49cc392de82a89b519b452d1b68c1592"},"schema_version":"1.0","source":{"id":"cond-mat/0107394","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"cond-mat/0107394","created_at":"2026-05-18T00:57:19Z"},{"alias_kind":"arxiv_version","alias_value":"cond-mat/0107394v1","created_at":"2026-05-18T00:57:19Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.cond-mat/0107394","created_at":"2026-05-18T00:57:19Z"},{"alias_kind":"pith_short_12","alias_value":"5DTCR53PWDXE","created_at":"2026-05-18T12:25:50Z"},{"alias_kind":"pith_short_16","alias_value":"5DTCR53PWDXEBWIA","created_at":"2026-05-18T12:25:50Z"},{"alias_kind":"pith_short_8","alias_value":"5DTCR53P","created_at":"2026-05-18T12:25:50Z"}],"graph_snapshots":[{"event_id":"sha256:9e8bcc267cad38d202fc31f4e5fda6bc9df25b46f62c23b8b9c68d283d7d198c","target":"graph","created_at":"2026-05-18T00:57:19Z","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":"We analyze the nonlinear relaxation of a complex ecosystem composed of many interacting species. The ecological system is described by generalized Lotka-Volterra equations with a multiplicative noise. The transient dynamics is studied in the framework of the mean field theory and with random interaction between the species. We focus on the statistical properties of the asymptotic behaviour of the time integral of the i-th population and on the distribution of the population and of the local field.","authors_text":"B. Spagnolo, F. de Pasquale, M. A. Cirone","cross_cats":["cond-mat.dis-nn","q-bio"],"headline":"","license":"","primary_cat":"cond-mat.stat-mech","submitted_at":"2001-07-19T08:03:56Z","title":"Nonlinear Relaxation in Population Dynamics"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"cond-mat/0107394","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":"sha256:6781460d55a24c2eaf23e165ffe268e9b842c7c090dc4cd42246a87de9f887a2","target":"record","created_at":"2026-05-18T00:57:19Z","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":"0fff52b05908ff1a73b9e27bcd37dbd420ba026593d5bcb87feb6b4e9602574e","cross_cats_sorted":["cond-mat.dis-nn","q-bio"],"license":"","primary_cat":"cond-mat.stat-mech","submitted_at":"2001-07-19T08:03:56Z","title_canon_sha256":"2e0ce971db9f36df25f090e2de26482b49cc392de82a89b519b452d1b68c1592"},"schema_version":"1.0","source":{"id":"cond-mat/0107394","kind":"arxiv","version":1}},"canonical_sha256":"e8e628f76fb0ee40d90096c7599af2b44578f81f545ca50dd1e55c10e22660f6","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"e8e628f76fb0ee40d90096c7599af2b44578f81f545ca50dd1e55c10e22660f6","first_computed_at":"2026-05-18T00:57:19.817504Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:57:19.817504Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"dFoEvPdCbLU8ilj4OSVcEnxgUxS/ovrN1DFNXFfExKwgvWd6eQorauDOe7QCv/OcchuK4qpB/y9G8X38oMOjCA==","signature_status":"signed_v1","signed_at":"2026-05-18T00:57:19.818024Z","signed_message":"canonical_sha256_bytes"},"source_id":"cond-mat/0107394","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:6781460d55a24c2eaf23e165ffe268e9b842c7c090dc4cd42246a87de9f887a2","sha256:9e8bcc267cad38d202fc31f4e5fda6bc9df25b46f62c23b8b9c68d283d7d198c"],"state_sha256":"e2f098c575ecbb244970727a086116d6887c3ed1a593a0491925c1dbc5515e51"}