{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:CYZLJRZHX5FNPSI2KGJYQL67HH","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":"f5727dbcd8730fd549d58f92554af6ba6c2123bbfd228dfc381a4d2bd0aa5f25","cross_cats_sorted":["math.GT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.SG","submitted_at":"2017-01-27T18:39:29Z","title_canon_sha256":"7cfca81f4bcf77bd8b1a8507e9d0c527e2522a0bf3d68d36141df5f635209cb0"},"schema_version":"1.0","source":{"id":"1701.08144","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1701.08144","created_at":"2026-05-18T00:20:56Z"},{"alias_kind":"arxiv_version","alias_value":"1701.08144v2","created_at":"2026-05-18T00:20:56Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1701.08144","created_at":"2026-05-18T00:20:56Z"},{"alias_kind":"pith_short_12","alias_value":"CYZLJRZHX5FN","created_at":"2026-05-18T12:31:10Z"},{"alias_kind":"pith_short_16","alias_value":"CYZLJRZHX5FNPSI2","created_at":"2026-05-18T12:31:10Z"},{"alias_kind":"pith_short_8","alias_value":"CYZLJRZH","created_at":"2026-05-18T12:31:10Z"}],"graph_snapshots":[{"event_id":"sha256:1e185b70039e1683705f950d13b7ed06b30f75bab3021edfc4c6512336d10ba1","target":"graph","created_at":"2026-05-18T00:20:56Z","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":"If a Legendrian knot $\\Lambda$ in the standard contact 3-sphere bounds an orientable exact Lagrangian surface $\\Sigma$ in the standard symplectic 4-ball, then the genus of $\\Sigma$ is equal to the slice genus of (the smooth knot underlying) $\\Lambda$, the sum of the Thurston-Bennequin number of L and the Euler characteristic of $\\Sigma$ is zero as well as the rotation number of $\\Lambda$, and moreover, the linearized contact homology of $\\Lambda$ with respect to the augmentation induced by $\\Sigma$ is isomorphic to the (singular) homology of $\\Sigma$. It was asked in arXiv:1212.1519 whether th","authors_text":"Tolga Etg\\\"u","cross_cats":["math.GT"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.SG","submitted_at":"2017-01-27T18:39:29Z","title":"Nonfillable Legendrian knots in the 3-sphere"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1701.08144","kind":"arxiv","version":2},"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:f884562acdbacd1b1f42a5a06291fe430772b2dcdd247717f9b64255a569ad03","target":"record","created_at":"2026-05-18T00:20:56Z","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":"f5727dbcd8730fd549d58f92554af6ba6c2123bbfd228dfc381a4d2bd0aa5f25","cross_cats_sorted":["math.GT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.SG","submitted_at":"2017-01-27T18:39:29Z","title_canon_sha256":"7cfca81f4bcf77bd8b1a8507e9d0c527e2522a0bf3d68d36141df5f635209cb0"},"schema_version":"1.0","source":{"id":"1701.08144","kind":"arxiv","version":2}},"canonical_sha256":"1632b4c727bf4ad7c91a5193882fdf39c3633c1e911a322d09a9a69fc09a277a","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"1632b4c727bf4ad7c91a5193882fdf39c3633c1e911a322d09a9a69fc09a277a","first_computed_at":"2026-05-18T00:20:56.748698Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:20:56.748698Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"8WMoD6hs4jzO9NhGdrqTC7DwIFPJROjUZoM5MSamy2ETMyrig2ZUPq/Lsc4CYdMouT9BjzcTt5MC2M+CmygHBw==","signature_status":"signed_v1","signed_at":"2026-05-18T00:20:56.749310Z","signed_message":"canonical_sha256_bytes"},"source_id":"1701.08144","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:f884562acdbacd1b1f42a5a06291fe430772b2dcdd247717f9b64255a569ad03","sha256:1e185b70039e1683705f950d13b7ed06b30f75bab3021edfc4c6512336d10ba1"],"state_sha256":"66f84d7224e38a336386f76fc0272e484ef95ae10b416ccfe813013975f44459"}