{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2015:GQV3VJUFSINQDSNOGEQHFPU2ZF","short_pith_number":"pith:GQV3VJUF","canonical_record":{"source":{"id":"1509.04686","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2015-09-15T19:14:23Z","cross_cats_sorted":[],"title_canon_sha256":"63f093526e54e7637f9c0d75a73312e943dad0e550256378b63df76de99083e8","abstract_canon_sha256":"4a0d7c27e9c921be0bfd28c5f55ea7ff8fdb0ba0fa439eaa99b9f0c77d294dcd"},"schema_version":"1.0"},"canonical_sha256":"342bbaa685921b01c9ae312072be9ac957d7431963ac18d6286c02c68e5ee924","source":{"kind":"arxiv","id":"1509.04686","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1509.04686","created_at":"2026-05-18T01:21:19Z"},{"alias_kind":"arxiv_version","alias_value":"1509.04686v2","created_at":"2026-05-18T01:21:19Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1509.04686","created_at":"2026-05-18T01:21:19Z"},{"alias_kind":"pith_short_12","alias_value":"GQV3VJUFSINQ","created_at":"2026-05-18T12:29:22Z"},{"alias_kind":"pith_short_16","alias_value":"GQV3VJUFSINQDSNO","created_at":"2026-05-18T12:29:22Z"},{"alias_kind":"pith_short_8","alias_value":"GQV3VJUF","created_at":"2026-05-18T12:29:22Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2015:GQV3VJUFSINQDSNOGEQHFPU2ZF","target":"record","payload":{"canonical_record":{"source":{"id":"1509.04686","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2015-09-15T19:14:23Z","cross_cats_sorted":[],"title_canon_sha256":"63f093526e54e7637f9c0d75a73312e943dad0e550256378b63df76de99083e8","abstract_canon_sha256":"4a0d7c27e9c921be0bfd28c5f55ea7ff8fdb0ba0fa439eaa99b9f0c77d294dcd"},"schema_version":"1.0"},"canonical_sha256":"342bbaa685921b01c9ae312072be9ac957d7431963ac18d6286c02c68e5ee924","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:21:19.427795Z","signature_b64":"7Q6OJW8CQpnxMOhFEf4dgosKp0viAM6PaawS11n5DOqSONpwriMCpH3yefngaRbuOyk4PCdBIVnQHyw4ssfCDA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"342bbaa685921b01c9ae312072be9ac957d7431963ac18d6286c02c68e5ee924","last_reissued_at":"2026-05-18T01:21:19.427154Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:21:19.427154Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1509.04686","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T01:21:19Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"gw2QxOLk8mqQXkD4srr/xlDn5zh7JotyPQkfLA42rRNNGr7uCGAW3wCRGxJhOhb5mr0r2k1ENVnm/Kk1G6HGAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-24T16:00:35.719822Z"},"content_sha256":"6bcb9b2f46783a79ec1cb74c3dfe7877997bc0485de31b6e0815ec2b8fb360bf","schema_version":"1.0","event_id":"sha256:6bcb9b2f46783a79ec1cb74c3dfe7877997bc0485de31b6e0815ec2b8fb360bf"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2015:GQV3VJUFSINQDSNOGEQHFPU2ZF","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"The fitness of the strongest individual in the subcritical GMS model","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.PR","authors_text":"Alejandro Rold\\'an-Correa, Carolina Grejo, F\\'abio P. Machado","submitted_at":"2015-09-15T19:14:23Z","abstract_excerpt":"We derive the strongest individual fitness distribution on a variation for a species survival model proposed by Guiol, Machado and Schinazi \\cite{GMS11}. We point out to the fact that this distribution relies on the Gauss hypergeometric function and when $p=\\frac{1}{2}$ on the Hypergeometric function type I distribution"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1509.04686","kind":"arxiv","version":2},"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":"2026-05-18T01:21:19Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ay8AH+MEFhS4Qvl39aBbvEhaMYptiL1Qs63D4+Llrant+iirpT8cpVrxk1Oyj10hLiT3X0zoLKCPAnmm/TRgCw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-24T16:00:35.720164Z"},"content_sha256":"3de9c9cb731982a2efb446a35f6ee3ce71430686bd70c471de1c87e812327009","schema_version":"1.0","event_id":"sha256:3de9c9cb731982a2efb446a35f6ee3ce71430686bd70c471de1c87e812327009"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/GQV3VJUFSINQDSNOGEQHFPU2ZF/bundle.json","state_url":"https://pith.science/pith/GQV3VJUFSINQDSNOGEQHFPU2ZF/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/GQV3VJUFSINQDSNOGEQHFPU2ZF/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":"2026-06-24T16:00:35Z","links":{"resolver":"https://pith.science/pith/GQV3VJUFSINQDSNOGEQHFPU2ZF","bundle":"https://pith.science/pith/GQV3VJUFSINQDSNOGEQHFPU2ZF/bundle.json","state":"https://pith.science/pith/GQV3VJUFSINQDSNOGEQHFPU2ZF/state.json","well_known_bundle":"https://pith.science/.well-known/pith/GQV3VJUFSINQDSNOGEQHFPU2ZF/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:GQV3VJUFSINQDSNOGEQHFPU2ZF","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":"4a0d7c27e9c921be0bfd28c5f55ea7ff8fdb0ba0fa439eaa99b9f0c77d294dcd","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2015-09-15T19:14:23Z","title_canon_sha256":"63f093526e54e7637f9c0d75a73312e943dad0e550256378b63df76de99083e8"},"schema_version":"1.0","source":{"id":"1509.04686","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1509.04686","created_at":"2026-05-18T01:21:19Z"},{"alias_kind":"arxiv_version","alias_value":"1509.04686v2","created_at":"2026-05-18T01:21:19Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1509.04686","created_at":"2026-05-18T01:21:19Z"},{"alias_kind":"pith_short_12","alias_value":"GQV3VJUFSINQ","created_at":"2026-05-18T12:29:22Z"},{"alias_kind":"pith_short_16","alias_value":"GQV3VJUFSINQDSNO","created_at":"2026-05-18T12:29:22Z"},{"alias_kind":"pith_short_8","alias_value":"GQV3VJUF","created_at":"2026-05-18T12:29:22Z"}],"graph_snapshots":[{"event_id":"sha256:3de9c9cb731982a2efb446a35f6ee3ce71430686bd70c471de1c87e812327009","target":"graph","created_at":"2026-05-18T01:21:19Z","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 derive the strongest individual fitness distribution on a variation for a species survival model proposed by Guiol, Machado and Schinazi \\cite{GMS11}. We point out to the fact that this distribution relies on the Gauss hypergeometric function and when $p=\\frac{1}{2}$ on the Hypergeometric function type I distribution","authors_text":"Alejandro Rold\\'an-Correa, Carolina Grejo, F\\'abio P. Machado","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2015-09-15T19:14:23Z","title":"The fitness of the strongest individual in the subcritical GMS model"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1509.04686","kind":"arxiv","version":2},"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":"sha256:6bcb9b2f46783a79ec1cb74c3dfe7877997bc0485de31b6e0815ec2b8fb360bf","target":"record","created_at":"2026-05-18T01:21:19Z","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":"4a0d7c27e9c921be0bfd28c5f55ea7ff8fdb0ba0fa439eaa99b9f0c77d294dcd","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2015-09-15T19:14:23Z","title_canon_sha256":"63f093526e54e7637f9c0d75a73312e943dad0e550256378b63df76de99083e8"},"schema_version":"1.0","source":{"id":"1509.04686","kind":"arxiv","version":2}},"canonical_sha256":"342bbaa685921b01c9ae312072be9ac957d7431963ac18d6286c02c68e5ee924","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"342bbaa685921b01c9ae312072be9ac957d7431963ac18d6286c02c68e5ee924","first_computed_at":"2026-05-18T01:21:19.427154Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:21:19.427154Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"7Q6OJW8CQpnxMOhFEf4dgosKp0viAM6PaawS11n5DOqSONpwriMCpH3yefngaRbuOyk4PCdBIVnQHyw4ssfCDA==","signature_status":"signed_v1","signed_at":"2026-05-18T01:21:19.427795Z","signed_message":"canonical_sha256_bytes"},"source_id":"1509.04686","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:6bcb9b2f46783a79ec1cb74c3dfe7877997bc0485de31b6e0815ec2b8fb360bf","sha256:3de9c9cb731982a2efb446a35f6ee3ce71430686bd70c471de1c87e812327009"],"state_sha256":"2c5dd319d849430ea1fbc01fdc38ed84a69709f116d59b19c6fe6bc80b30b97f"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"5BafzdGj2cBvS0yIspzjIbDNLvfq4qLSrzZXIyyqtaQ346aF3jVrNGKmCK6OTCoVXt7kxQQN26TbpsWVK7OaBw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-24T16:00:35.722145Z","bundle_sha256":"9ba3c00f76916f8e87f36c2b809ea6c511b4bbcd84b05a8ccd52c7f0b0f13a22"}}