{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2021:DKXRL7UHWD7APHQPZZWDQU6YLJ","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":"09df7a5c93331cf73383ddca8d849d364a123717a4ad3aa39ac93b4312162c02","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.GT","submitted_at":"2021-10-27T12:20:47Z","title_canon_sha256":"09eec0b2a19b67906a073d39e8c5ed04d8b0a6a6cc8e56e2d057293dafd91e2b"},"schema_version":"1.0","source":{"id":"2110.14376","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2110.14376","created_at":"2026-07-05T03:26:27Z"},{"alias_kind":"arxiv_version","alias_value":"2110.14376v1","created_at":"2026-07-05T03:26:27Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2110.14376","created_at":"2026-07-05T03:26:27Z"},{"alias_kind":"pith_short_12","alias_value":"DKXRL7UHWD7A","created_at":"2026-07-05T03:26:27Z"},{"alias_kind":"pith_short_16","alias_value":"DKXRL7UHWD7APHQP","created_at":"2026-07-05T03:26:27Z"},{"alias_kind":"pith_short_8","alias_value":"DKXRL7UH","created_at":"2026-07-05T03:26:27Z"}],"graph_snapshots":[{"event_id":"sha256:bbaf65d3d523ca5362f257a05ab4ac9cf49a6cd9f6717721782cabd0e53ae241","target":"graph","created_at":"2026-07-05T03:26:27Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2110.14376/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We show that cusped finite-volume hyperbolic 3-manifolds contain infinitely many simple closed geodesics.","authors_text":"Feihuang Xia","cross_cats":[],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.GT","submitted_at":"2021-10-27T12:20:47Z","title":"Simple closed geodesics in cusped hyperbolic 3-manifolds"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2110.14376","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":"sha256:9884855810197f51c3d8051143536a97d71dc734ccaaa89654195ee363054575","target":"record","created_at":"2026-07-05T03:26:27Z","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":"09df7a5c93331cf73383ddca8d849d364a123717a4ad3aa39ac93b4312162c02","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.GT","submitted_at":"2021-10-27T12:20:47Z","title_canon_sha256":"09eec0b2a19b67906a073d39e8c5ed04d8b0a6a6cc8e56e2d057293dafd91e2b"},"schema_version":"1.0","source":{"id":"2110.14376","kind":"arxiv","version":1}},"canonical_sha256":"1aaf15fe87b0fe079e0fce6c3853d85a535be6c27ad64ce4ca7103ae68bf0bc6","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"1aaf15fe87b0fe079e0fce6c3853d85a535be6c27ad64ce4ca7103ae68bf0bc6","first_computed_at":"2026-07-05T03:26:27.099043Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T03:26:27.099043Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"+BgR6BWmSt8GZgN1y3txwsGh7vpYO4w0s/iV5hOg+TVzhR0Gd1PUxcwQqJundRJOf2Yz2DQ18ZvuX/uXmRKZCw==","signature_status":"signed_v1","signed_at":"2026-07-05T03:26:27.099577Z","signed_message":"canonical_sha256_bytes"},"source_id":"2110.14376","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:9884855810197f51c3d8051143536a97d71dc734ccaaa89654195ee363054575","sha256:bbaf65d3d523ca5362f257a05ab4ac9cf49a6cd9f6717721782cabd0e53ae241"],"state_sha256":"28720a9d9df78a795732af40a5a9f2c72ad11ba811398e062d0b59c0c85acd6e"}