{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:NDLTWC7HGVBD5XQKCNAW7SJLNK","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":"1cfdfd166ab31506faaa3702da271cf51f288a9cd88f869c634009667cd751fc","cross_cats_sorted":["cs.GT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CO","submitted_at":"2011-11-17T19:28:35Z","title_canon_sha256":"13f815d8e7e93520cb57d9c3ac5cc80254a1a9b353d9e21166f0f945d5805737"},"schema_version":"1.0","source":{"id":"1111.4189","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1111.4189","created_at":"2026-05-18T04:08:05Z"},{"alias_kind":"arxiv_version","alias_value":"1111.4189v1","created_at":"2026-05-18T04:08:05Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1111.4189","created_at":"2026-05-18T04:08:05Z"},{"alias_kind":"pith_short_12","alias_value":"NDLTWC7HGVBD","created_at":"2026-05-18T12:26:37Z"},{"alias_kind":"pith_short_16","alias_value":"NDLTWC7HGVBD5XQK","created_at":"2026-05-18T12:26:37Z"},{"alias_kind":"pith_short_8","alias_value":"NDLTWC7H","created_at":"2026-05-18T12:26:37Z"}],"graph_snapshots":[{"event_id":"sha256:e89fc2f225ba6c336cc8ea294f7dbf0b81861f7a5d623e5bffb460947a3770d2","target":"graph","created_at":"2026-05-18T04:08:05Z","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 solve the game of Babylon when played with chips of two colors, giving a winning strategy for the second player in all previously unsolved cases.","authors_text":"Agelos Georgakopoulos, Peter Winkler","cross_cats":["cs.GT"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CO","submitted_at":"2011-11-17T19:28:35Z","title":"Two-Color Babylon"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1111.4189","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:b808fe00f7ee0e6f12bf2a91b490b8062c624e8e20e0d218c3bda48f60b0612c","target":"record","created_at":"2026-05-18T04:08:05Z","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":"1cfdfd166ab31506faaa3702da271cf51f288a9cd88f869c634009667cd751fc","cross_cats_sorted":["cs.GT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CO","submitted_at":"2011-11-17T19:28:35Z","title_canon_sha256":"13f815d8e7e93520cb57d9c3ac5cc80254a1a9b353d9e21166f0f945d5805737"},"schema_version":"1.0","source":{"id":"1111.4189","kind":"arxiv","version":1}},"canonical_sha256":"68d73b0be735423ede0a13416fc92b6a8a89b274b45a26c530c77fe54aeb48de","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"68d73b0be735423ede0a13416fc92b6a8a89b274b45a26c530c77fe54aeb48de","first_computed_at":"2026-05-18T04:08:05.529246Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:08:05.529246Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"91eMsm78FMVbGxyGVrVzH0plpbFh+urNbSrO0W1hwCzdC+N1su1qWrb2htH8aaErYhcvBsndhKT3PpfJcc7mDg==","signature_status":"signed_v1","signed_at":"2026-05-18T04:08:05.529695Z","signed_message":"canonical_sha256_bytes"},"source_id":"1111.4189","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:b808fe00f7ee0e6f12bf2a91b490b8062c624e8e20e0d218c3bda48f60b0612c","sha256:e89fc2f225ba6c336cc8ea294f7dbf0b81861f7a5d623e5bffb460947a3770d2"],"state_sha256":"fbe225fd0f5018d1ca00af01bab3d2f7d778cd454fb051af2ffe1f7233006cc8"}