{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2009:RLTNW2EZPKE6EPI67HACNZ5OX3","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":"e78c70f7c95e4a978751044ed731e4ce9dd21ae3e7b6b259e9c9a13c9d963eb3","cross_cats_sorted":["physics.bio-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"q-bio.PE","submitted_at":"2009-05-20T12:46:56Z","title_canon_sha256":"373a6970e13372d707886338d9f18a16b1a4cae145bda98c12dfec12bad9f384"},"schema_version":"1.0","source":{"id":"0905.3297","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0905.3297","created_at":"2026-05-18T02:13:38Z"},{"alias_kind":"arxiv_version","alias_value":"0905.3297v1","created_at":"2026-05-18T02:13:38Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0905.3297","created_at":"2026-05-18T02:13:38Z"},{"alias_kind":"pith_short_12","alias_value":"RLTNW2EZPKE6","created_at":"2026-05-18T12:26:01Z"},{"alias_kind":"pith_short_16","alias_value":"RLTNW2EZPKE6EPI6","created_at":"2026-05-18T12:26:01Z"},{"alias_kind":"pith_short_8","alias_value":"RLTNW2EZ","created_at":"2026-05-18T12:26:01Z"}],"graph_snapshots":[{"event_id":"sha256:361d6ba8a4ef16e20a7415f82f21cbfb7bcc3ce90bd515add0bbf49f0b1938c5","target":"graph","created_at":"2026-05-18T02:13:38Z","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":"Selection in a time-periodic environment is modeled via the two-player replicator dynamics. For sufficiently fast environmental changes, this is reduced to a multi-player replicator dynamics in a constant environment. The two-player terms correspond to the time-averaged payoffs, while the three and four-player terms arise from the adaptation of the morphs to their varying environment. Such multi-player (adaptive) terms can induce a stable polymorphism. The establishment of the polymorphism in partnership games [genetic selection] is accompanied by decreasing mean fitness of the population.","authors_text":"Armen E. Allahverdyan, Chin-Kun Hu","cross_cats":["physics.bio-ph"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"q-bio.PE","submitted_at":"2009-05-20T12:46:56Z","title":"Replicators in Fine-grained Environment: Adaptation and Polymorphism"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0905.3297","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:c8c759da12ee9e47d3f8f9360ae491212e6404dd2ccb436ac2dd11af88b308e1","target":"record","created_at":"2026-05-18T02:13:38Z","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":"e78c70f7c95e4a978751044ed731e4ce9dd21ae3e7b6b259e9c9a13c9d963eb3","cross_cats_sorted":["physics.bio-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"q-bio.PE","submitted_at":"2009-05-20T12:46:56Z","title_canon_sha256":"373a6970e13372d707886338d9f18a16b1a4cae145bda98c12dfec12bad9f384"},"schema_version":"1.0","source":{"id":"0905.3297","kind":"arxiv","version":1}},"canonical_sha256":"8ae6db68997a89e23d1ef9c026e7aebec60dd2caec7ae2d197ae0c865f0a40d1","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"8ae6db68997a89e23d1ef9c026e7aebec60dd2caec7ae2d197ae0c865f0a40d1","first_computed_at":"2026-05-18T02:13:38.415629Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:13:38.415629Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"YjuYe/paMZkPF54udWJ7BBk6wRTX63YRoiEbrMh4Bz0Mkm3zgYAej+nStAZoYJpnKuIccmPJDaLibewR6P4gDQ==","signature_status":"signed_v1","signed_at":"2026-05-18T02:13:38.416025Z","signed_message":"canonical_sha256_bytes"},"source_id":"0905.3297","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:c8c759da12ee9e47d3f8f9360ae491212e6404dd2ccb436ac2dd11af88b308e1","sha256:361d6ba8a4ef16e20a7415f82f21cbfb7bcc3ce90bd515add0bbf49f0b1938c5"],"state_sha256":"94e99bff29846296661a7a5c13346caa65a49a4eb73f52edc9a4a7a481121c72"}