{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:LNLBW6NIKDTKQS46AZHRXUW2V4","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":"5dd0e4ce2ec23be4716b0606b4dfbf01b83830ed3916e683c414048c650d71ea","cross_cats_sorted":["physics.soc-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.data-an","submitted_at":"2013-11-04T10:43:55Z","title_canon_sha256":"e111115d95d5746d5b3286f45e5ffdcd478d061f2ed70d068695ecf83713e0b3"},"schema_version":"1.0","source":{"id":"1311.0641","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1311.0641","created_at":"2026-05-18T01:46:39Z"},{"alias_kind":"arxiv_version","alias_value":"1311.0641v2","created_at":"2026-05-18T01:46:39Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1311.0641","created_at":"2026-05-18T01:46:39Z"},{"alias_kind":"pith_short_12","alias_value":"LNLBW6NIKDTK","created_at":"2026-05-18T12:27:51Z"},{"alias_kind":"pith_short_16","alias_value":"LNLBW6NIKDTKQS46","created_at":"2026-05-18T12:27:51Z"},{"alias_kind":"pith_short_8","alias_value":"LNLBW6NI","created_at":"2026-05-18T12:27:51Z"}],"graph_snapshots":[{"event_id":"sha256:bb5420f393b86415df172be0b424a6f8e53c5a3f89e8b95798e6b5bdf758904c","target":"graph","created_at":"2026-05-18T01:46:39Z","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":"Statistical properties of position-dependent ball-passing networks in real football games are examined. We find that the networks have the small-world property, and their degree distributions are fitted well by a truncated gamma distribution function. In order to reproduce these properties of networks, a model based on a Markov chain is proposed.","authors_text":"Ken Yamamoto, Takuma Narizuka, Yoshihiro Yamazaki","cross_cats":["physics.soc-ph"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.data-an","submitted_at":"2013-11-04T10:43:55Z","title":"Statistical properties of position-dependent ball-passing networks in football games"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1311.0641","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":"sha256:4da4c71f031b59e262f8cb1fa055407e0609e56af135b21a00c68c96ff066788","target":"record","created_at":"2026-05-18T01:46:39Z","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":"5dd0e4ce2ec23be4716b0606b4dfbf01b83830ed3916e683c414048c650d71ea","cross_cats_sorted":["physics.soc-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.data-an","submitted_at":"2013-11-04T10:43:55Z","title_canon_sha256":"e111115d95d5746d5b3286f45e5ffdcd478d061f2ed70d068695ecf83713e0b3"},"schema_version":"1.0","source":{"id":"1311.0641","kind":"arxiv","version":2}},"canonical_sha256":"5b561b79a850e6a84b9e064f1bd2daaf266fee1542bb841c44141ebce6eef821","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"5b561b79a850e6a84b9e064f1bd2daaf266fee1542bb841c44141ebce6eef821","first_computed_at":"2026-05-18T01:46:39.497263Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:46:39.497263Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"yPKoBZdzngAimkPP8L0ddHJZt2cqXdscXxlalMXOxBo+nb/wAN3iXeW4qDcpGclvHj7S8ErgRjMekCYi1nVdDA==","signature_status":"signed_v1","signed_at":"2026-05-18T01:46:39.497943Z","signed_message":"canonical_sha256_bytes"},"source_id":"1311.0641","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:4da4c71f031b59e262f8cb1fa055407e0609e56af135b21a00c68c96ff066788","sha256:bb5420f393b86415df172be0b424a6f8e53c5a3f89e8b95798e6b5bdf758904c"],"state_sha256":"ee397b682d1bfb578dc6616495f96e3c15fd3b8f1bbf0e7f029f7a25f63b9dab"}