{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:WHCJR6RDXKVV7DXXCUOSKO7W2T","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":"d99714bcdade433d6107ebf04f2dc2b4d71def57aaf53a74e41e7e3d2ef60be5","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CO","submitted_at":"2013-05-09T17:32:36Z","title_canon_sha256":"6f417d2edc78a348e933dc7a58213a26e061c408fb4700247c38dd667bf116bc"},"schema_version":"1.0","source":{"id":"1305.2156","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1305.2156","created_at":"2026-05-18T02:51:48Z"},{"alias_kind":"arxiv_version","alias_value":"1305.2156v2","created_at":"2026-05-18T02:51:48Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1305.2156","created_at":"2026-05-18T02:51:48Z"},{"alias_kind":"pith_short_12","alias_value":"WHCJR6RDXKVV","created_at":"2026-05-18T12:28:04Z"},{"alias_kind":"pith_short_16","alias_value":"WHCJR6RDXKVV7DXX","created_at":"2026-05-18T12:28:04Z"},{"alias_kind":"pith_short_8","alias_value":"WHCJR6RD","created_at":"2026-05-18T12:28:04Z"}],"graph_snapshots":[{"event_id":"sha256:8b34438a4feb7112bee44bec526ebe03697ee5cd04b1fa167569dba812686ab7","target":"graph","created_at":"2026-05-18T02:51:48Z","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 explain a highly efficient algorithm for playing the simplest type of dots and boxes endgame optimally (by which we mean \"in such a way so as to maximise the number of boxes that you take\"). The algorithm is sufficiently simple that it can be learnt and used in over-the-board games by humans. The types of endgames we solve come up commonly in practice in well-played games on a 5x5 board and were in fact developed by the authors in order to improve their over-the-board play.","authors_text":"Kevin Buzzard, Michael Ciere","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CO","submitted_at":"2013-05-09T17:32:36Z","title":"Playing simple loony dots and boxes endgames optimally"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1305.2156","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":"sha256:872aa3fe232ca2640d27f1cde482d875b63701b48de7c8974bf99bf433625a28","target":"record","created_at":"2026-05-18T02:51:48Z","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":"d99714bcdade433d6107ebf04f2dc2b4d71def57aaf53a74e41e7e3d2ef60be5","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CO","submitted_at":"2013-05-09T17:32:36Z","title_canon_sha256":"6f417d2edc78a348e933dc7a58213a26e061c408fb4700247c38dd667bf116bc"},"schema_version":"1.0","source":{"id":"1305.2156","kind":"arxiv","version":2}},"canonical_sha256":"b1c498fa23baab5f8ef7151d253bf6d4cf3ae32392da3852300aec3a7aca5c49","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"b1c498fa23baab5f8ef7151d253bf6d4cf3ae32392da3852300aec3a7aca5c49","first_computed_at":"2026-05-18T02:51:48.638137Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:51:48.638137Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"J1dr6Ba9bc6+KvdDpv0VBETDVE/OL0bh8ZePpL59x4Jr3Aml0MakTMViwG887vynsujkpCA47NwKhDoLXwESCA==","signature_status":"signed_v1","signed_at":"2026-05-18T02:51:48.638628Z","signed_message":"canonical_sha256_bytes"},"source_id":"1305.2156","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:872aa3fe232ca2640d27f1cde482d875b63701b48de7c8974bf99bf433625a28","sha256:8b34438a4feb7112bee44bec526ebe03697ee5cd04b1fa167569dba812686ab7"],"state_sha256":"cd2be387845fc443580099d3221d928652a8ec4ef4e2a5c5bfcb6a246cd961a4"}