{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2014:WM4G7LG5YJJHIJARH3OQIJCJIV","short_pith_number":"pith:WM4G7LG5","canonical_record":{"source":{"id":"1407.0666","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"q-bio.CB","submitted_at":"2014-07-02T18:07:32Z","cross_cats_sorted":["cond-mat.soft","physics.bio-ph"],"title_canon_sha256":"aa2f4832ab5c84017f0e75543b8496bd68627dbb36ce16145ae74bd34219c553","abstract_canon_sha256":"77c983fb4767a05a36b5f496b8a88a8355d251aeda9d9b502165aa04582ecc3a"},"schema_version":"1.0"},"canonical_sha256":"b3386facddc2527424113edd04244945676b4d1ec753503d5a509034e03e96fe","source":{"kind":"arxiv","id":"1407.0666","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1407.0666","created_at":"2026-05-18T02:48:26Z"},{"alias_kind":"arxiv_version","alias_value":"1407.0666v1","created_at":"2026-05-18T02:48:26Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1407.0666","created_at":"2026-05-18T02:48:26Z"},{"alias_kind":"pith_short_12","alias_value":"WM4G7LG5YJJH","created_at":"2026-05-18T12:28:54Z"},{"alias_kind":"pith_short_16","alias_value":"WM4G7LG5YJJHIJAR","created_at":"2026-05-18T12:28:54Z"},{"alias_kind":"pith_short_8","alias_value":"WM4G7LG5","created_at":"2026-05-18T12:28:54Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2014:WM4G7LG5YJJHIJARH3OQIJCJIV","target":"record","payload":{"canonical_record":{"source":{"id":"1407.0666","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"q-bio.CB","submitted_at":"2014-07-02T18:07:32Z","cross_cats_sorted":["cond-mat.soft","physics.bio-ph"],"title_canon_sha256":"aa2f4832ab5c84017f0e75543b8496bd68627dbb36ce16145ae74bd34219c553","abstract_canon_sha256":"77c983fb4767a05a36b5f496b8a88a8355d251aeda9d9b502165aa04582ecc3a"},"schema_version":"1.0"},"canonical_sha256":"b3386facddc2527424113edd04244945676b4d1ec753503d5a509034e03e96fe","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:48:26.391051Z","signature_b64":"I9EtxRkAmA88RL48WBhr771OtUCtu9xZR1sVMDAUd2B385FY+diilE45WTElwsPxgTks3E4ln+bndszedY0dAQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"b3386facddc2527424113edd04244945676b4d1ec753503d5a509034e03e96fe","last_reissued_at":"2026-05-18T02:48:26.390542Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:48:26.390542Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1407.0666","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":"2026-05-18T02:48:26Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"jFapOFbjy4G5Ja1l/BwyqCdOevQ2S65xiKQRhZFD4q2S3dneUJAy1zm+qtUAe5VjuKsIASEwEqiMFqnJpWs3Aw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-07T15:38:22.239227Z"},"content_sha256":"9e752f549b7b48a0c2b7519504b48b411c3bfb745ff135779bd653c51209b2d5","schema_version":"1.0","event_id":"sha256:9e752f549b7b48a0c2b7519504b48b411c3bfb745ff135779bd653c51209b2d5"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2014:WM4G7LG5YJJHIJARH3OQIJCJIV","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"The dynamics of sperm cooperation in a competitive environment","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.soft","physics.bio-ph"],"primary_cat":"q-bio.CB","authors_text":"H. E. Hoekstra, H. S. Fisher, L. Giomi, L. Mahadevan","submitted_at":"2014-07-02T18:07:32Z","abstract_excerpt":"Sperm cooperation has evolved in a variety of taxa and is often considered a response to sperm competition, yet the benefit of this form of collective movement remains unclear. Here we use fine-scale imaging and a minimal mathematical model to study sperm aggregation in the rodent genus $Peromyscus$. We demonstrate that as the number of sperm cells in an aggregate increase, the group moves with more persistent linearity but without increasing speed; this benefit, however, is offset in larger aggregates as the geometry of the group forces sperm to swim against one another. The result is a non-m"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1407.0666","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":"2026-05-18T02:48:26Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"8Bf6Y6OSZtnKQXXlxfS5mKzZC9C6uONxKNeMfAluwNxNQsSCjB+DMKPlFHa8nlS7e5yCiIVzBzuoRRsrxK/cCw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-07T15:38:22.239908Z"},"content_sha256":"b9452c17f3db9785b263074c1f9584aebed39dc1b1ef6e5caf6b6285fa7f6519","schema_version":"1.0","event_id":"sha256:b9452c17f3db9785b263074c1f9584aebed39dc1b1ef6e5caf6b6285fa7f6519"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/WM4G7LG5YJJHIJARH3OQIJCJIV/bundle.json","state_url":"https://pith.science/pith/WM4G7LG5YJJHIJARH3OQIJCJIV/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/WM4G7LG5YJJHIJARH3OQIJCJIV/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":"2026-06-07T15:38:22Z","links":{"resolver":"https://pith.science/pith/WM4G7LG5YJJHIJARH3OQIJCJIV","bundle":"https://pith.science/pith/WM4G7LG5YJJHIJARH3OQIJCJIV/bundle.json","state":"https://pith.science/pith/WM4G7LG5YJJHIJARH3OQIJCJIV/state.json","well_known_bundle":"https://pith.science/.well-known/pith/WM4G7LG5YJJHIJARH3OQIJCJIV/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:WM4G7LG5YJJHIJARH3OQIJCJIV","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":"77c983fb4767a05a36b5f496b8a88a8355d251aeda9d9b502165aa04582ecc3a","cross_cats_sorted":["cond-mat.soft","physics.bio-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"q-bio.CB","submitted_at":"2014-07-02T18:07:32Z","title_canon_sha256":"aa2f4832ab5c84017f0e75543b8496bd68627dbb36ce16145ae74bd34219c553"},"schema_version":"1.0","source":{"id":"1407.0666","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1407.0666","created_at":"2026-05-18T02:48:26Z"},{"alias_kind":"arxiv_version","alias_value":"1407.0666v1","created_at":"2026-05-18T02:48:26Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1407.0666","created_at":"2026-05-18T02:48:26Z"},{"alias_kind":"pith_short_12","alias_value":"WM4G7LG5YJJH","created_at":"2026-05-18T12:28:54Z"},{"alias_kind":"pith_short_16","alias_value":"WM4G7LG5YJJHIJAR","created_at":"2026-05-18T12:28:54Z"},{"alias_kind":"pith_short_8","alias_value":"WM4G7LG5","created_at":"2026-05-18T12:28:54Z"}],"graph_snapshots":[{"event_id":"sha256:b9452c17f3db9785b263074c1f9584aebed39dc1b1ef6e5caf6b6285fa7f6519","target":"graph","created_at":"2026-05-18T02:48:26Z","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"},"paper":{"abstract_excerpt":"Sperm cooperation has evolved in a variety of taxa and is often considered a response to sperm competition, yet the benefit of this form of collective movement remains unclear. Here we use fine-scale imaging and a minimal mathematical model to study sperm aggregation in the rodent genus $Peromyscus$. We demonstrate that as the number of sperm cells in an aggregate increase, the group moves with more persistent linearity but without increasing speed; this benefit, however, is offset in larger aggregates as the geometry of the group forces sperm to swim against one another. The result is a non-m","authors_text":"H. E. Hoekstra, H. S. Fisher, L. Giomi, L. Mahadevan","cross_cats":["cond-mat.soft","physics.bio-ph"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"q-bio.CB","submitted_at":"2014-07-02T18:07:32Z","title":"The dynamics of sperm cooperation in a competitive environment"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1407.0666","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":"sha256:9e752f549b7b48a0c2b7519504b48b411c3bfb745ff135779bd653c51209b2d5","target":"record","created_at":"2026-05-18T02:48:26Z","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":"77c983fb4767a05a36b5f496b8a88a8355d251aeda9d9b502165aa04582ecc3a","cross_cats_sorted":["cond-mat.soft","physics.bio-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"q-bio.CB","submitted_at":"2014-07-02T18:07:32Z","title_canon_sha256":"aa2f4832ab5c84017f0e75543b8496bd68627dbb36ce16145ae74bd34219c553"},"schema_version":"1.0","source":{"id":"1407.0666","kind":"arxiv","version":1}},"canonical_sha256":"b3386facddc2527424113edd04244945676b4d1ec753503d5a509034e03e96fe","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"b3386facddc2527424113edd04244945676b4d1ec753503d5a509034e03e96fe","first_computed_at":"2026-05-18T02:48:26.390542Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:48:26.390542Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"I9EtxRkAmA88RL48WBhr771OtUCtu9xZR1sVMDAUd2B385FY+diilE45WTElwsPxgTks3E4ln+bndszedY0dAQ==","signature_status":"signed_v1","signed_at":"2026-05-18T02:48:26.391051Z","signed_message":"canonical_sha256_bytes"},"source_id":"1407.0666","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:9e752f549b7b48a0c2b7519504b48b411c3bfb745ff135779bd653c51209b2d5","sha256:b9452c17f3db9785b263074c1f9584aebed39dc1b1ef6e5caf6b6285fa7f6519"],"state_sha256":"e02f297c0b908d8417753f3033438f08edbd2b0ba981561cc7c34e73ad69782f"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ngc1kFrweusWObgxl7SIOXNGtkOuDRO+U6xrqdkt3pGbB6MJRck6B4Nynmef0dNwg6zyWZ2ng5ZlJi15KAJhCA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-07T15:38:22.243928Z","bundle_sha256":"e56d842b9f53dbb321fe61b57df5a5765188a92da094497d631cdde38d2c1bbc"}}