{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2008:ZMYY2OI3Q7K65MAU7WW7CESTCW","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":"094af57a2e9d9f39c549e7543d9e0a54129853ab54e6a6716ccddabb08038072","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.GT","submitted_at":"2008-11-24T21:12:42Z","title_canon_sha256":"f3316c8ff3b0037828e2c9cdacc9ac7bfb49361947e4fa88db9edaebc63cc92b"},"schema_version":"1.0","source":{"id":"0811.3978","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0811.3978","created_at":"2026-05-18T03:06:52Z"},{"alias_kind":"arxiv_version","alias_value":"0811.3978v2","created_at":"2026-05-18T03:06:52Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0811.3978","created_at":"2026-05-18T03:06:52Z"},{"alias_kind":"pith_short_12","alias_value":"ZMYY2OI3Q7K6","created_at":"2026-05-18T12:25:58Z"},{"alias_kind":"pith_short_16","alias_value":"ZMYY2OI3Q7K65MAU","created_at":"2026-05-18T12:25:58Z"},{"alias_kind":"pith_short_8","alias_value":"ZMYY2OI3","created_at":"2026-05-18T12:25:58Z"}],"graph_snapshots":[{"event_id":"sha256:cdc7d18f3239a77a15a4945f5ffecd722611b580ea8db3ca4eb99957fc5023f3","target":"graph","created_at":"2026-05-18T03:06:52Z","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 prove that optimal strategies exist in every perfect-information stochastic game with finitely many states and actions and a tail winning condition.","authors_text":"Florian Horn (LIAFA), Hugo Gimbert (LaBRI)","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.GT","submitted_at":"2008-11-24T21:12:42Z","title":"Optimal Strategies in Perfect-Information Stochastic Games with Tail Winning Conditions"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0811.3978","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":"sha256:4af3b48a63940ff50813d563b13277b181ebdc09ad6d66a7e07e780afc25d107","target":"record","created_at":"2026-05-18T03:06:52Z","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":"094af57a2e9d9f39c549e7543d9e0a54129853ab54e6a6716ccddabb08038072","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.GT","submitted_at":"2008-11-24T21:12:42Z","title_canon_sha256":"f3316c8ff3b0037828e2c9cdacc9ac7bfb49361947e4fa88db9edaebc63cc92b"},"schema_version":"1.0","source":{"id":"0811.3978","kind":"arxiv","version":2}},"canonical_sha256":"cb318d391b87d5eeb014fdadf11253159a8db98f1eedfa5bf4102fb4bd5531e9","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"cb318d391b87d5eeb014fdadf11253159a8db98f1eedfa5bf4102fb4bd5531e9","first_computed_at":"2026-05-18T03:06:52.297201Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:06:52.297201Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"hKkv3AorzOkpexEniDtvaNJ1it81V5Fx0Styjl3J3X/u+xUFAkUdCcBiV+0rEvnkcRNr9Jda4Osx13EjbpXWDA==","signature_status":"signed_v1","signed_at":"2026-05-18T03:06:52.297875Z","signed_message":"canonical_sha256_bytes"},"source_id":"0811.3978","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:4af3b48a63940ff50813d563b13277b181ebdc09ad6d66a7e07e780afc25d107","sha256:cdc7d18f3239a77a15a4945f5ffecd722611b580ea8db3ca4eb99957fc5023f3"],"state_sha256":"5267476b7a023f740455219f621b78240f57939bbc19f4c59872a7938c4ea513"}