{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2025:ZWV3DXGGSDSRUQ6CJMBZSLO4QP","short_pith_number":"pith:ZWV3DXGG","canonical_record":{"source":{"id":"2507.10332","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.soc-ph","submitted_at":"2025-07-14T14:39:19Z","cross_cats_sorted":["physics.bio-ph"],"title_canon_sha256":"1bf58a7e01daec03a25228d32346336984710df14bedad9404c14b04c896d887","abstract_canon_sha256":"6f5ba637971ef5bc858e140d28ebbe151e6463a8574c526412fd6d974b5e5188"},"schema_version":"1.0"},"canonical_sha256":"cdabb1dcc690e51a43c24b03992ddc83d7ec63330974254de615e63aaf228b26","source":{"kind":"arxiv","id":"2507.10332","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2507.10332","created_at":"2026-07-05T11:37:26Z"},{"alias_kind":"arxiv_version","alias_value":"2507.10332v1","created_at":"2026-07-05T11:37:26Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2507.10332","created_at":"2026-07-05T11:37:26Z"},{"alias_kind":"pith_short_12","alias_value":"ZWV3DXGGSDSR","created_at":"2026-07-05T11:37:26Z"},{"alias_kind":"pith_short_16","alias_value":"ZWV3DXGGSDSRUQ6C","created_at":"2026-07-05T11:37:26Z"},{"alias_kind":"pith_short_8","alias_value":"ZWV3DXGG","created_at":"2026-07-05T11:37:26Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2025:ZWV3DXGGSDSRUQ6CJMBZSLO4QP","target":"record","payload":{"canonical_record":{"source":{"id":"2507.10332","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.soc-ph","submitted_at":"2025-07-14T14:39:19Z","cross_cats_sorted":["physics.bio-ph"],"title_canon_sha256":"1bf58a7e01daec03a25228d32346336984710df14bedad9404c14b04c896d887","abstract_canon_sha256":"6f5ba637971ef5bc858e140d28ebbe151e6463a8574c526412fd6d974b5e5188"},"schema_version":"1.0"},"canonical_sha256":"cdabb1dcc690e51a43c24b03992ddc83d7ec63330974254de615e63aaf228b26","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T11:37:26.682765Z","signature_b64":"VBMy3hy5PwRmYYA4Pu1xFzSP3R88dMq1nfy6pR/i8crPFr37wcvQYbshPjjhJ5qiFlmEXo2d2MtC4tDg5uGgAw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"cdabb1dcc690e51a43c24b03992ddc83d7ec63330974254de615e63aaf228b26","last_reissued_at":"2026-07-05T11:37:26.682265Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T11:37:26.682265Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2507.10332","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":"2026-07-05T11:37:26Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"jDSymkxGAmgvU8glfjc022BTjqE4glkibpM5bMEB2Seo6RWP63sKH4hvalYZbLuhMJ6xfc7iEWD2Jxi5JQ2wDQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-22T07:53:40.645013Z"},"content_sha256":"f6005bf943bda81ba93214feab8d89db1dbca52be84b11b4df54b2d4e63e7a01","schema_version":"1.0","event_id":"sha256:f6005bf943bda81ba93214feab8d89db1dbca52be84b11b4df54b2d4e63e7a01"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2025:ZWV3DXGGSDSRUQ6CJMBZSLO4QP","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Balancing the Last Birth: A Game-Theoretical Resolution to the Human Sex Ratio Puzzle","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["physics.bio-ph"],"primary_cat":"physics.soc-ph","authors_text":"Hyeong-Chai Jeong, Nahyeon Lee, Ulf Dieckmann","submitted_at":"2025-07-14T14:39:19Z","abstract_excerpt":"We study the evolution of offspring sex ratios using a game-theoretical model in which the decision to have another child depends on the sex of the previous child. Motivated by higher male infant mortality and the tendency to try again after a child's death, our model allows different continuation probabilities after sons and daughters. We find that a stable sex ratio at birth (SRB) differing from 1:1 can arise when these continuation probabilities differ. However, the sex ratio among last-born children (SRLB) always converges to 1:1. We mathematically prove that this 1:1 SRLB is an evolutiona"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2507.10332","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2507.10332/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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":"2026-07-05T11:37:26Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"DsyLmjZM5Bar9G7Q5KyfDI+vZYs9EC9VngbwHo+UnykyscqwE9MW7XnHr8/vRp+ZPAa4Pzw+1IKy815q182tBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-22T07:53:40.645533Z"},"content_sha256":"48db8543763b73878e84bd3299509639814d1af87cb69152a417c01017c5d38d","schema_version":"1.0","event_id":"sha256:48db8543763b73878e84bd3299509639814d1af87cb69152a417c01017c5d38d"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/ZWV3DXGGSDSRUQ6CJMBZSLO4QP/bundle.json","state_url":"https://pith.science/pith/ZWV3DXGGSDSRUQ6CJMBZSLO4QP/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/ZWV3DXGGSDSRUQ6CJMBZSLO4QP/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":"2026-08-22T07:53:40Z","links":{"resolver":"https://pith.science/pith/ZWV3DXGGSDSRUQ6CJMBZSLO4QP","bundle":"https://pith.science/pith/ZWV3DXGGSDSRUQ6CJMBZSLO4QP/bundle.json","state":"https://pith.science/pith/ZWV3DXGGSDSRUQ6CJMBZSLO4QP/state.json","well_known_bundle":"https://pith.science/.well-known/pith/ZWV3DXGGSDSRUQ6CJMBZSLO4QP/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2025:ZWV3DXGGSDSRUQ6CJMBZSLO4QP","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":"6f5ba637971ef5bc858e140d28ebbe151e6463a8574c526412fd6d974b5e5188","cross_cats_sorted":["physics.bio-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.soc-ph","submitted_at":"2025-07-14T14:39:19Z","title_canon_sha256":"1bf58a7e01daec03a25228d32346336984710df14bedad9404c14b04c896d887"},"schema_version":"1.0","source":{"id":"2507.10332","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2507.10332","created_at":"2026-07-05T11:37:26Z"},{"alias_kind":"arxiv_version","alias_value":"2507.10332v1","created_at":"2026-07-05T11:37:26Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2507.10332","created_at":"2026-07-05T11:37:26Z"},{"alias_kind":"pith_short_12","alias_value":"ZWV3DXGGSDSR","created_at":"2026-07-05T11:37:26Z"},{"alias_kind":"pith_short_16","alias_value":"ZWV3DXGGSDSRUQ6C","created_at":"2026-07-05T11:37:26Z"},{"alias_kind":"pith_short_8","alias_value":"ZWV3DXGG","created_at":"2026-07-05T11:37:26Z"}],"graph_snapshots":[{"event_id":"sha256:48db8543763b73878e84bd3299509639814d1af87cb69152a417c01017c5d38d","target":"graph","created_at":"2026-07-05T11:37:26Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2507.10332/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We study the evolution of offspring sex ratios using a game-theoretical model in which the decision to have another child depends on the sex of the previous child. Motivated by higher male infant mortality and the tendency to try again after a child's death, our model allows different continuation probabilities after sons and daughters. We find that a stable sex ratio at birth (SRB) differing from 1:1 can arise when these continuation probabilities differ. However, the sex ratio among last-born children (SRLB) always converges to 1:1. We mathematically prove that this 1:1 SRLB is an evolutiona","authors_text":"Hyeong-Chai Jeong, Nahyeon Lee, Ulf Dieckmann","cross_cats":["physics.bio-ph"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.soc-ph","submitted_at":"2025-07-14T14:39:19Z","title":"Balancing the Last Birth: A Game-Theoretical Resolution to the Human Sex Ratio Puzzle"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2507.10332","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:f6005bf943bda81ba93214feab8d89db1dbca52be84b11b4df54b2d4e63e7a01","target":"record","created_at":"2026-07-05T11:37:26Z","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":"6f5ba637971ef5bc858e140d28ebbe151e6463a8574c526412fd6d974b5e5188","cross_cats_sorted":["physics.bio-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.soc-ph","submitted_at":"2025-07-14T14:39:19Z","title_canon_sha256":"1bf58a7e01daec03a25228d32346336984710df14bedad9404c14b04c896d887"},"schema_version":"1.0","source":{"id":"2507.10332","kind":"arxiv","version":1}},"canonical_sha256":"cdabb1dcc690e51a43c24b03992ddc83d7ec63330974254de615e63aaf228b26","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"cdabb1dcc690e51a43c24b03992ddc83d7ec63330974254de615e63aaf228b26","first_computed_at":"2026-07-05T11:37:26.682265Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T11:37:26.682265Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"VBMy3hy5PwRmYYA4Pu1xFzSP3R88dMq1nfy6pR/i8crPFr37wcvQYbshPjjhJ5qiFlmEXo2d2MtC4tDg5uGgAw==","signature_status":"signed_v1","signed_at":"2026-07-05T11:37:26.682765Z","signed_message":"canonical_sha256_bytes"},"source_id":"2507.10332","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:f6005bf943bda81ba93214feab8d89db1dbca52be84b11b4df54b2d4e63e7a01","sha256:48db8543763b73878e84bd3299509639814d1af87cb69152a417c01017c5d38d"],"state_sha256":"ecf5e557f51d37d96b862c12aaa5eea51fc0535bfd918fd36ee6f5b48f25c6b4"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"AQaGTWnTSXUKevb7aUToB0CY6XN/nAKc85DhtL2XgfAnEW6PxvV202VYoPJZlzAfnvvTOX7S+hH8Q36vCFRVDw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-22T07:53:40.649561Z","bundle_sha256":"b16f5353431cc82bbbeb79f80c3d25e10467ee394f0a7c24b2b8fd779442d459"}}