{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2019:O7QFBLHTUYE3IL2WGEOPJPYODG","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":"b7c1a536542d24cf3425f026330ca1b75da2bcff7945c128dd87a0449458f4fd","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GT","submitted_at":"2019-03-20T16:03:58Z","title_canon_sha256":"b8c11568900d5aaf4211d1461b91bd2a12197eac7dbd639ae0407d268241b35a"},"schema_version":"1.0","source":{"id":"1903.08578","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1903.08578","created_at":"2026-05-17T23:50:47Z"},{"alias_kind":"arxiv_version","alias_value":"1903.08578v1","created_at":"2026-05-17T23:50:47Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1903.08578","created_at":"2026-05-17T23:50:47Z"},{"alias_kind":"pith_short_12","alias_value":"O7QFBLHTUYE3","created_at":"2026-05-18T12:33:24Z"},{"alias_kind":"pith_short_16","alias_value":"O7QFBLHTUYE3IL2W","created_at":"2026-05-18T12:33:24Z"},{"alias_kind":"pith_short_8","alias_value":"O7QFBLHT","created_at":"2026-05-18T12:33:24Z"}],"graph_snapshots":[{"event_id":"sha256:f281a8324b63df119848fea055b1b5efc2c44de790943e4b6bcc27a078f75946","target":"graph","created_at":"2026-05-17T23:50:47Z","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 define the surface complex for $3$-manifolds and embark on a case study in the arena of Seifert fibered spaces. The base orbifold of a Seifert fibered space captures some of the topology of the Seifert fibered space, so, not surprisingly, the surface complex of a Seifert fibered space always contains a subcomplex isomorphic to the curve complex of the base orbifold.","authors_text":"Jennifer Schultens","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GT","submitted_at":"2019-03-20T16:03:58Z","title":"The surface complex of Seifert fibered spaces"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1903.08578","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":"sha256:90923f9d0cbc8466e179055a841267e14f0fe78ec164eda089a29e906ed0f062","target":"record","created_at":"2026-05-17T23:50:47Z","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":"b7c1a536542d24cf3425f026330ca1b75da2bcff7945c128dd87a0449458f4fd","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GT","submitted_at":"2019-03-20T16:03:58Z","title_canon_sha256":"b8c11568900d5aaf4211d1461b91bd2a12197eac7dbd639ae0407d268241b35a"},"schema_version":"1.0","source":{"id":"1903.08578","kind":"arxiv","version":1}},"canonical_sha256":"77e050acf3a609b42f56311cf4bf0e19adc58ff11fd39a42fe7a3fcd8b9d9218","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"77e050acf3a609b42f56311cf4bf0e19adc58ff11fd39a42fe7a3fcd8b9d9218","first_computed_at":"2026-05-17T23:50:47.691914Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:50:47.691914Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"IXUimbDY8OaaGbNhqk5ombLijWDL3ZYJEJGImT3V6sPlfbsVn32O8JL7od0BwuOsbuxYU9SiGuWdp91EfSjNAg==","signature_status":"signed_v1","signed_at":"2026-05-17T23:50:47.692522Z","signed_message":"canonical_sha256_bytes"},"source_id":"1903.08578","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:90923f9d0cbc8466e179055a841267e14f0fe78ec164eda089a29e906ed0f062","sha256:f281a8324b63df119848fea055b1b5efc2c44de790943e4b6bcc27a078f75946"],"state_sha256":"8fdc950e5a64369ae469b1b6ce983533fb9deea3a31d2b63d7f68c1226e04263"}