{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:6T3E56UWX36BUUJXHWTSORWS3P","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":"0264e27d65edce65eb9b4ff75703fea8ea688699336b601fe8b11d86f4a6afe5","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.GT","submitted_at":"2013-07-26T18:11:38Z","title_canon_sha256":"e903642ccd2c2ce77e0736b694ae7848387a4a7c5241d5fe1d88d0b2e5e81f2a"},"schema_version":"1.0","source":{"id":"1307.7118","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1307.7118","created_at":"2026-05-18T03:17:25Z"},{"alias_kind":"arxiv_version","alias_value":"1307.7118v1","created_at":"2026-05-18T03:17:25Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1307.7118","created_at":"2026-05-18T03:17:25Z"},{"alias_kind":"pith_short_12","alias_value":"6T3E56UWX36B","created_at":"2026-05-18T12:27:36Z"},{"alias_kind":"pith_short_16","alias_value":"6T3E56UWX36BUUJX","created_at":"2026-05-18T12:27:36Z"},{"alias_kind":"pith_short_8","alias_value":"6T3E56UW","created_at":"2026-05-18T12:27:36Z"}],"graph_snapshots":[{"event_id":"sha256:0e72330233b0b836a1534032ebd7114065740f429a94959bbcd113a53634070b","target":"graph","created_at":"2026-05-18T03:17:25Z","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":"A 5x5 board is the smallest board on which one can set up all kind of chess pieces as a start position. We consider Gardner's minichess variant in which all pieces are set as in a standard chessboard (from Rook to King). This game has roughly 9x10^{18} legal positions and is comparable in this respect with checkers. We weakly solve this game, that is we prove its game-theoretic value and give a strategy to draw against best play for White and Black sides. Our approach requires surprisingly small computing power. We give a human readable proof. The way the result is obtained is generic and coul","authors_text":"Frederic Prost, Mehdi Mhalla","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.GT","submitted_at":"2013-07-26T18:11:38Z","title":"Gardner's Minichess Variant is solved"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1307.7118","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":"sha256:96718760a06b616b065dc36fbe383a00e2d02f13fb750833d6ab0d7b563aef8f","target":"record","created_at":"2026-05-18T03:17:25Z","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":"0264e27d65edce65eb9b4ff75703fea8ea688699336b601fe8b11d86f4a6afe5","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.GT","submitted_at":"2013-07-26T18:11:38Z","title_canon_sha256":"e903642ccd2c2ce77e0736b694ae7848387a4a7c5241d5fe1d88d0b2e5e81f2a"},"schema_version":"1.0","source":{"id":"1307.7118","kind":"arxiv","version":1}},"canonical_sha256":"f4f64efa96befc1a51373da72746d2dbd74e51628da3dd4bba4155ac8663aa1e","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"f4f64efa96befc1a51373da72746d2dbd74e51628da3dd4bba4155ac8663aa1e","first_computed_at":"2026-05-18T03:17:25.313333Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:17:25.313333Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Za9z+0J2N2gL/Nv+CmwEFILtUJNInmho6hpDgHUBAIZUpAvpCFRz6m3XvqsuxYRNin+AyoitTmMj2J5La7DJBQ==","signature_status":"signed_v1","signed_at":"2026-05-18T03:17:25.313761Z","signed_message":"canonical_sha256_bytes"},"source_id":"1307.7118","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:96718760a06b616b065dc36fbe383a00e2d02f13fb750833d6ab0d7b563aef8f","sha256:0e72330233b0b836a1534032ebd7114065740f429a94959bbcd113a53634070b"],"state_sha256":"74c05f87910aeb4748758072039129e4ed38ea3cc6f62de729f479d90d1c314c"}