{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:2I3JMIS74453PINSZZWRSJ3PXQ","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":"5af5a4814618b9686f41a8817d459802d94871566d59f649d082a5be4a8c9653","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2011-02-04T19:54:53Z","title_canon_sha256":"b432005c6ea5a26cc2052457a1beb93d78009775ccf7f2cebb83cab9f9f55e30"},"schema_version":"1.0","source":{"id":"1102.1005","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1102.1005","created_at":"2026-05-18T02:22:40Z"},{"alias_kind":"arxiv_version","alias_value":"1102.1005v1","created_at":"2026-05-18T02:22:40Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1102.1005","created_at":"2026-05-18T02:22:40Z"},{"alias_kind":"pith_short_12","alias_value":"2I3JMIS74453","created_at":"2026-05-18T12:26:18Z"},{"alias_kind":"pith_short_16","alias_value":"2I3JMIS74453PINS","created_at":"2026-05-18T12:26:18Z"},{"alias_kind":"pith_short_8","alias_value":"2I3JMIS7","created_at":"2026-05-18T12:26:18Z"}],"graph_snapshots":[{"event_id":"sha256:c17d5b48bca011e42a4e4e85343bf8e1147cf30d85fe8f4270856b4a9bf91c6f","target":"graph","created_at":"2026-05-18T02:22:40Z","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 periodic linear trajectories in the double pentagon and periodic billiard trajectories in the regular pentagon.","authors_text":"Diana Davis, Dmitry Fuchs, Serge Tabachnikov","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2011-02-04T19:54:53Z","title":"Periodic trajectories in the regular pentagon"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1102.1005","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":"sha256:98ccd2ba9ba596225b7daecec5debb62b26c29a151cc673572beba1ff5311c1e","target":"record","created_at":"2026-05-18T02:22:40Z","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":"5af5a4814618b9686f41a8817d459802d94871566d59f649d082a5be4a8c9653","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2011-02-04T19:54:53Z","title_canon_sha256":"b432005c6ea5a26cc2052457a1beb93d78009775ccf7f2cebb83cab9f9f55e30"},"schema_version":"1.0","source":{"id":"1102.1005","kind":"arxiv","version":1}},"canonical_sha256":"d23696225fe73bb7a1b2ce6d19276fbc1fb559a9eb7e10bc2848053d346f38df","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"d23696225fe73bb7a1b2ce6d19276fbc1fb559a9eb7e10bc2848053d346f38df","first_computed_at":"2026-05-18T02:22:40.456696Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:22:40.456696Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"obErTiI8RMzGFuJDXpwAInxr7ekVMxMOVh7HqjKzrd+UnKksb49MBbLnTRak9ML13oF3xeDHoROO1o9+7Vf8Dg==","signature_status":"signed_v1","signed_at":"2026-05-18T02:22:40.457337Z","signed_message":"canonical_sha256_bytes"},"source_id":"1102.1005","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:98ccd2ba9ba596225b7daecec5debb62b26c29a151cc673572beba1ff5311c1e","sha256:c17d5b48bca011e42a4e4e85343bf8e1147cf30d85fe8f4270856b4a9bf91c6f"],"state_sha256":"db7f42003f25f79519475910e2911a1bc3d336feef3a9c3bbcf8742bceb6414d"}