{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:B57IJZFHLZ3DGH4YVIJTDBIIXJ","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":"fbf4a87cdb53e946aeccd66dc1250c705699f1d94f13eff3a80a24758e0f0e20","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CO","submitted_at":"2018-01-03T21:37:02Z","title_canon_sha256":"68ccef8b57eaa0dc873b150392d29e01532dcd4c0a91ddd6e0d6329d192e21ba"},"schema_version":"1.0","source":{"id":"1801.01184","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1801.01184","created_at":"2026-05-18T00:26:42Z"},{"alias_kind":"arxiv_version","alias_value":"1801.01184v1","created_at":"2026-05-18T00:26:42Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1801.01184","created_at":"2026-05-18T00:26:42Z"},{"alias_kind":"pith_short_12","alias_value":"B57IJZFHLZ3D","created_at":"2026-05-18T12:32:13Z"},{"alias_kind":"pith_short_16","alias_value":"B57IJZFHLZ3DGH4Y","created_at":"2026-05-18T12:32:13Z"},{"alias_kind":"pith_short_8","alias_value":"B57IJZFH","created_at":"2026-05-18T12:32:13Z"}],"graph_snapshots":[{"event_id":"sha256:cdca9f1d865892ef585fd42438608f33896f1db4a5f1e88fe19145d08467cc06","target":"graph","created_at":"2026-05-18T00:26:42Z","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 study the famous mathematical puzzle of prisoners and hats. We introduce a framework in which various variants of the problem can be formalized. We examine three particular versions of the problem (each one in fact a class of problems) and completely characterize them as to (non)existence of winning strategies.","authors_text":"Petr Glivick\\'y","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CO","submitted_at":"2018-01-03T21:37:02Z","title":"A note on the problem of prisoners and hats"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1801.01184","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":"sha256:3b7ac4e9bc98ab22a0e855ae22399bf13b2f9caff4c15e51f6c9b6e37a9fb342","target":"record","created_at":"2026-05-18T00:26:42Z","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":"fbf4a87cdb53e946aeccd66dc1250c705699f1d94f13eff3a80a24758e0f0e20","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CO","submitted_at":"2018-01-03T21:37:02Z","title_canon_sha256":"68ccef8b57eaa0dc873b150392d29e01532dcd4c0a91ddd6e0d6329d192e21ba"},"schema_version":"1.0","source":{"id":"1801.01184","kind":"arxiv","version":1}},"canonical_sha256":"0f7e84e4a75e76331f98aa13318508ba4353032997c5284f474ef9a905d4ab11","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"0f7e84e4a75e76331f98aa13318508ba4353032997c5284f474ef9a905d4ab11","first_computed_at":"2026-05-18T00:26:42.888913Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:26:42.888913Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"hg02kOxmJyh432Ym04gZb4a1ly84LQ3CSuuqNd9WuJ/N1SJre+LZD5yFvS2z+6ZTChwf2r3ROtj86pOBhGTdDg==","signature_status":"signed_v1","signed_at":"2026-05-18T00:26:42.889555Z","signed_message":"canonical_sha256_bytes"},"source_id":"1801.01184","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:3b7ac4e9bc98ab22a0e855ae22399bf13b2f9caff4c15e51f6c9b6e37a9fb342","sha256:cdca9f1d865892ef585fd42438608f33896f1db4a5f1e88fe19145d08467cc06"],"state_sha256":"82879bbf649ccc729ca7446e68d44b4388ae33d280c1f8cd0557a453e1e02288"}