{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2010:AE7KCVI7ZDVSH6FPBIPJPGGI4W","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":"3b8f3b9aaf5a16718c29bf88684fd309d6a3698049743f84eb6e345908192d14","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"q-bio.PE","submitted_at":"2010-03-24T15:55:54Z","title_canon_sha256":"8e5df2d25a596228bd6aecba5fd4398a5ead70585de1a395dbc6069a4d93d626"},"schema_version":"1.0","source":{"id":"1003.4674","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1003.4674","created_at":"2026-05-18T04:40:54Z"},{"alias_kind":"arxiv_version","alias_value":"1003.4674v3","created_at":"2026-05-18T04:40:54Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1003.4674","created_at":"2026-05-18T04:40:54Z"},{"alias_kind":"pith_short_12","alias_value":"AE7KCVI7ZDVS","created_at":"2026-05-18T12:26:05Z"},{"alias_kind":"pith_short_16","alias_value":"AE7KCVI7ZDVSH6FP","created_at":"2026-05-18T12:26:05Z"},{"alias_kind":"pith_short_8","alias_value":"AE7KCVI7","created_at":"2026-05-18T12:26:05Z"}],"graph_snapshots":[{"event_id":"sha256:6eda16f542e45f565f9b332c46ca6d0e3b2fc543e7bb3ab4e55e546aa8e67ec3","target":"graph","created_at":"2026-05-18T04:40:54Z","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":"A striking feature of the marine ecosystem is the regularity in its size spectrum: the abundance of organisms as a function of their weight approximately follows a power law over almost ten orders of magnitude. We interpret this as evidence that the population dynamics in the ocean is approximately scale-invariant. We use this invariance in the construction and solution of a size-structured dynamical population model. Starting from a Markov model encoding the basic processes of predation, reproduction, maintenance respiration and intrinsic mortality, we derive a partial integro-differential eq","authors_text":"Gustav W. Delius, Jose A. Capitan","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"q-bio.PE","submitted_at":"2010-03-24T15:55:54Z","title":"A scale-invariant model of marine population dynamics"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1003.4674","kind":"arxiv","version":3},"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":"sha256:7ea1109927bac59129cc298df9af4ec75b8149561cec92fec3aa6045b7e17527","target":"record","created_at":"2026-05-18T04:40:54Z","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":"3b8f3b9aaf5a16718c29bf88684fd309d6a3698049743f84eb6e345908192d14","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"q-bio.PE","submitted_at":"2010-03-24T15:55:54Z","title_canon_sha256":"8e5df2d25a596228bd6aecba5fd4398a5ead70585de1a395dbc6069a4d93d626"},"schema_version":"1.0","source":{"id":"1003.4674","kind":"arxiv","version":3}},"canonical_sha256":"013ea1551fc8eb23f8af0a1e9798c8e5924b35c8423bcc27bab2f9498b5c0ed3","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"013ea1551fc8eb23f8af0a1e9798c8e5924b35c8423bcc27bab2f9498b5c0ed3","first_computed_at":"2026-05-18T04:40:54.483740Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:40:54.483740Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"rdr6PRMt8FBs6qykknXne65A28l40kmOlzmmF0BMT5iE9nMnPTCP04a6W/oECzm4Tvy7Wk1aEouExVdi1i7vCA==","signature_status":"signed_v1","signed_at":"2026-05-18T04:40:54.484346Z","signed_message":"canonical_sha256_bytes"},"source_id":"1003.4674","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:7ea1109927bac59129cc298df9af4ec75b8149561cec92fec3aa6045b7e17527","sha256:6eda16f542e45f565f9b332c46ca6d0e3b2fc543e7bb3ab4e55e546aa8e67ec3"],"state_sha256":"e5bc700cf45e2e3ea6f85b20bd8e4a202d01371c035c0806946bc42c12b41e2a"}