{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2012:YVSELUIUW7X2ZQOZN4WVHLR7ZD","short_pith_number":"pith:YVSELUIU","canonical_record":{"source":{"id":"1209.2638","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"q-bio.PE","submitted_at":"2012-09-12T15:15:07Z","cross_cats_sorted":["math-ph","math.MP"],"title_canon_sha256":"8548d979798caf4780c7cf457dc3e268bfeffb5b7e610b1bb38ea9000cdcb306","abstract_canon_sha256":"339844cc96f143b54848840a6b05302e3a23aa30c2f5b06e888ac85b4d7809bf"},"schema_version":"1.0"},"canonical_sha256":"c56445d114b7efacc1d96f2d53ae3fc8e7dddc261486f3a514fe498e3ae87227","source":{"kind":"arxiv","id":"1209.2638","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1209.2638","created_at":"2026-05-18T03:45:42Z"},{"alias_kind":"arxiv_version","alias_value":"1209.2638v1","created_at":"2026-05-18T03:45:42Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1209.2638","created_at":"2026-05-18T03:45:42Z"},{"alias_kind":"pith_short_12","alias_value":"YVSELUIUW7X2","created_at":"2026-05-18T12:27:30Z"},{"alias_kind":"pith_short_16","alias_value":"YVSELUIUW7X2ZQOZ","created_at":"2026-05-18T12:27:30Z"},{"alias_kind":"pith_short_8","alias_value":"YVSELUIU","created_at":"2026-05-18T12:27:30Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2012:YVSELUIUW7X2ZQOZN4WVHLR7ZD","target":"record","payload":{"canonical_record":{"source":{"id":"1209.2638","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"q-bio.PE","submitted_at":"2012-09-12T15:15:07Z","cross_cats_sorted":["math-ph","math.MP"],"title_canon_sha256":"8548d979798caf4780c7cf457dc3e268bfeffb5b7e610b1bb38ea9000cdcb306","abstract_canon_sha256":"339844cc96f143b54848840a6b05302e3a23aa30c2f5b06e888ac85b4d7809bf"},"schema_version":"1.0"},"canonical_sha256":"c56445d114b7efacc1d96f2d53ae3fc8e7dddc261486f3a514fe498e3ae87227","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:45:42.548127Z","signature_b64":"t+L1RDRd2YYEkn4luTDQej9GYuxtC92gS7YuQszVP7JOicupmEo/L1Es931EA1KNPkM3jBBL58OAWREXnnpZBQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"c56445d114b7efacc1d96f2d53ae3fc8e7dddc261486f3a514fe498e3ae87227","last_reissued_at":"2026-05-18T03:45:42.547509Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:45:42.547509Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1209.2638","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":"2026-05-18T03:45:42Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"543tpUEEcxbULLxmOAWk/7DRgz+PFM0vzKpzr0qUdkP9EIY/u8L09V2x735wmusBvt0l4bEi+egzLw7NV8S/Aw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-26T00:34:05.982721Z"},"content_sha256":"7dbbdd36c75473794aa21d1e6eb2ee76d5fef32ec612a55046ace7164b2a5697","schema_version":"1.0","event_id":"sha256:7dbbdd36c75473794aa21d1e6eb2ee76d5fef32ec612a55046ace7164b2a5697"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2012:YVSELUIUW7X2ZQOZN4WVHLR7ZD","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Frequency-dependent fitness induces multistability in coevolutionary dynamics","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.MP"],"primary_cat":"q-bio.PE","authors_text":"Hinrich Arnoldt, Marc Timme, Stefan Grosskinsky","submitted_at":"2012-09-12T15:15:07Z","abstract_excerpt":"Evolution is simultaneously driven by a number of processes such as mutation, competition and random sampling. Understanding which of these processes is dominating the collective evolutionary dynamics in dependence on system properties is a fundamental aim of theoretical research. Recent works quantitatively studied coevolutionary dynamics of competing species with a focus on linearly frequency-dependent interactions, derived from a game-theoretic viewpoint. However, several aspects of evolutionary dynamics, e.g. limited resources, may induce effectively nonlinear frequency dependencies. Here "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1209.2638","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":"2026-05-18T03:45:42Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ad5eBzGYmoHLbnTLm5aX5+Fsc6cweRYZOCvdafS6hnTLxyxyBlLXPa9e7Slqld8+aF6UMFhyxLYK6faoXXkeBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-26T00:34:05.983070Z"},"content_sha256":"6bebae604ec31c3b28eaaf36cac174d9a477634677acd1ce528fdb543678e319","schema_version":"1.0","event_id":"sha256:6bebae604ec31c3b28eaaf36cac174d9a477634677acd1ce528fdb543678e319"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/YVSELUIUW7X2ZQOZN4WVHLR7ZD/bundle.json","state_url":"https://pith.science/pith/YVSELUIUW7X2ZQOZN4WVHLR7ZD/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/YVSELUIUW7X2ZQOZN4WVHLR7ZD/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":"2026-06-26T00:34:05Z","links":{"resolver":"https://pith.science/pith/YVSELUIUW7X2ZQOZN4WVHLR7ZD","bundle":"https://pith.science/pith/YVSELUIUW7X2ZQOZN4WVHLR7ZD/bundle.json","state":"https://pith.science/pith/YVSELUIUW7X2ZQOZN4WVHLR7ZD/state.json","well_known_bundle":"https://pith.science/.well-known/pith/YVSELUIUW7X2ZQOZN4WVHLR7ZD/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:YVSELUIUW7X2ZQOZN4WVHLR7ZD","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":"339844cc96f143b54848840a6b05302e3a23aa30c2f5b06e888ac85b4d7809bf","cross_cats_sorted":["math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"q-bio.PE","submitted_at":"2012-09-12T15:15:07Z","title_canon_sha256":"8548d979798caf4780c7cf457dc3e268bfeffb5b7e610b1bb38ea9000cdcb306"},"schema_version":"1.0","source":{"id":"1209.2638","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1209.2638","created_at":"2026-05-18T03:45:42Z"},{"alias_kind":"arxiv_version","alias_value":"1209.2638v1","created_at":"2026-05-18T03:45:42Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1209.2638","created_at":"2026-05-18T03:45:42Z"},{"alias_kind":"pith_short_12","alias_value":"YVSELUIUW7X2","created_at":"2026-05-18T12:27:30Z"},{"alias_kind":"pith_short_16","alias_value":"YVSELUIUW7X2ZQOZ","created_at":"2026-05-18T12:27:30Z"},{"alias_kind":"pith_short_8","alias_value":"YVSELUIU","created_at":"2026-05-18T12:27:30Z"}],"graph_snapshots":[{"event_id":"sha256:6bebae604ec31c3b28eaaf36cac174d9a477634677acd1ce528fdb543678e319","target":"graph","created_at":"2026-05-18T03:45:42Z","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":"Evolution is simultaneously driven by a number of processes such as mutation, competition and random sampling. Understanding which of these processes is dominating the collective evolutionary dynamics in dependence on system properties is a fundamental aim of theoretical research. Recent works quantitatively studied coevolutionary dynamics of competing species with a focus on linearly frequency-dependent interactions, derived from a game-theoretic viewpoint. However, several aspects of evolutionary dynamics, e.g. limited resources, may induce effectively nonlinear frequency dependencies. Here ","authors_text":"Hinrich Arnoldt, Marc Timme, Stefan Grosskinsky","cross_cats":["math-ph","math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"q-bio.PE","submitted_at":"2012-09-12T15:15:07Z","title":"Frequency-dependent fitness induces multistability in coevolutionary dynamics"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1209.2638","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":"sha256:7dbbdd36c75473794aa21d1e6eb2ee76d5fef32ec612a55046ace7164b2a5697","target":"record","created_at":"2026-05-18T03:45:42Z","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":"339844cc96f143b54848840a6b05302e3a23aa30c2f5b06e888ac85b4d7809bf","cross_cats_sorted":["math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"q-bio.PE","submitted_at":"2012-09-12T15:15:07Z","title_canon_sha256":"8548d979798caf4780c7cf457dc3e268bfeffb5b7e610b1bb38ea9000cdcb306"},"schema_version":"1.0","source":{"id":"1209.2638","kind":"arxiv","version":1}},"canonical_sha256":"c56445d114b7efacc1d96f2d53ae3fc8e7dddc261486f3a514fe498e3ae87227","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"c56445d114b7efacc1d96f2d53ae3fc8e7dddc261486f3a514fe498e3ae87227","first_computed_at":"2026-05-18T03:45:42.547509Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:45:42.547509Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"t+L1RDRd2YYEkn4luTDQej9GYuxtC92gS7YuQszVP7JOicupmEo/L1Es931EA1KNPkM3jBBL58OAWREXnnpZBQ==","signature_status":"signed_v1","signed_at":"2026-05-18T03:45:42.548127Z","signed_message":"canonical_sha256_bytes"},"source_id":"1209.2638","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:7dbbdd36c75473794aa21d1e6eb2ee76d5fef32ec612a55046ace7164b2a5697","sha256:6bebae604ec31c3b28eaaf36cac174d9a477634677acd1ce528fdb543678e319"],"state_sha256":"32c0cb931a2d0aea153f4584ef62014bbb626cde5719ffe08f986c312269c027"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"rUAivtlqSK6hEOld/JkqLIh95f7S3l6xUCNRqEsgHg1qdRmvulNXwx8zQoKBseEy/CqrYTxmYi35ny1Hd7cjDA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-26T00:34:05.985273Z","bundle_sha256":"2eb5421f8236b9260ab9c367bb80055fbdb632cd303ce895ea6d21beea139261"}}