{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:WZLZRQXH2GX2CG4RFWHNHAIHQJ","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":"f161c6219fd28894de7259f8a025b6297b56c2434735ff2427038e5cda3d7d4b","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GT","submitted_at":"2015-12-05T09:33:23Z","title_canon_sha256":"00c1ce0b8268fb640ed498a4b9f92f929605ce4bccf3b28922c93306f3e7fc37"},"schema_version":"1.0","source":{"id":"1512.01645","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1512.01645","created_at":"2026-05-18T01:25:10Z"},{"alias_kind":"arxiv_version","alias_value":"1512.01645v1","created_at":"2026-05-18T01:25:10Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1512.01645","created_at":"2026-05-18T01:25:10Z"},{"alias_kind":"pith_short_12","alias_value":"WZLZRQXH2GX2","created_at":"2026-05-18T12:29:47Z"},{"alias_kind":"pith_short_16","alias_value":"WZLZRQXH2GX2CG4R","created_at":"2026-05-18T12:29:47Z"},{"alias_kind":"pith_short_8","alias_value":"WZLZRQXH","created_at":"2026-05-18T12:29:47Z"}],"graph_snapshots":[{"event_id":"sha256:63fb3328e339295ca1e7d9620d6b609f9127af5e969d62816269305252652a2d","target":"graph","created_at":"2026-05-18T01:25:10Z","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":"Cooper and Long generalised Epstein and Penner's Euclidean cell decomposition of cusped hyperbolic manifolds of finite volume to non-compact strictly convex projective manifolds of finite volume. We show that Weeks' algorithm to compute this decomposition for a hyperbolic surface generalises to strictly convex projective surfaces.","authors_text":"Sampson Wong, Stephan Tillmann","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GT","submitted_at":"2015-12-05T09:33:23Z","title":"An algorithm for the Euclidean cell decomposition of a cusped strictly convex projective surface"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1512.01645","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:d18d2c3ca823d30ee2648b1d46a46cf6d563d12262b38072ebd0f42575e2b77e","target":"record","created_at":"2026-05-18T01:25:10Z","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":"f161c6219fd28894de7259f8a025b6297b56c2434735ff2427038e5cda3d7d4b","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GT","submitted_at":"2015-12-05T09:33:23Z","title_canon_sha256":"00c1ce0b8268fb640ed498a4b9f92f929605ce4bccf3b28922c93306f3e7fc37"},"schema_version":"1.0","source":{"id":"1512.01645","kind":"arxiv","version":1}},"canonical_sha256":"b65798c2e7d1afa11b912d8ed38107825cc71c9dbecdb648aca16c9deb50d812","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"b65798c2e7d1afa11b912d8ed38107825cc71c9dbecdb648aca16c9deb50d812","first_computed_at":"2026-05-18T01:25:10.739535Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:25:10.739535Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"dwtJnrqpeV4IeErsowt5ypuxW8NXGLI6ORkwctUO7ECD3KfIgrRX5E2S3lj424+hu3nLAOzwRK+gpha6u0sBBg==","signature_status":"signed_v1","signed_at":"2026-05-18T01:25:10.740135Z","signed_message":"canonical_sha256_bytes"},"source_id":"1512.01645","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:d18d2c3ca823d30ee2648b1d46a46cf6d563d12262b38072ebd0f42575e2b77e","sha256:63fb3328e339295ca1e7d9620d6b609f9127af5e969d62816269305252652a2d"],"state_sha256":"64c4f94fb2034b0ac1ddbe9e4c79e3781494bbc80bda563e394fee7654710971"}