{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:PMOHEZMAKWULALFUCW772YWX27","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":"fdbe5e242470fc98beff057839bd215b267cd26e52ccce3dc5e0121368b834d4","cross_cats_sorted":["math.SG"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GT","submitted_at":"2013-07-17T18:56:27Z","title_canon_sha256":"e55464fce38c667a0f68f78013446608970320609433a79cc6c667bdc2420fee"},"schema_version":"1.0","source":{"id":"1307.4726","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1307.4726","created_at":"2026-05-18T02:29:55Z"},{"alias_kind":"arxiv_version","alias_value":"1307.4726v2","created_at":"2026-05-18T02:29:55Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1307.4726","created_at":"2026-05-18T02:29:55Z"},{"alias_kind":"pith_short_12","alias_value":"PMOHEZMAKWUL","created_at":"2026-05-18T12:27:54Z"},{"alias_kind":"pith_short_16","alias_value":"PMOHEZMAKWULALFU","created_at":"2026-05-18T12:27:54Z"},{"alias_kind":"pith_short_8","alias_value":"PMOHEZMA","created_at":"2026-05-18T12:27:54Z"}],"graph_snapshots":[{"event_id":"sha256:b8297e89d7db08ef6f9a37fae4b9c19ebb01b4a7ee8aa077ab6fa9776ae309b7","target":"graph","created_at":"2026-05-18T02:29:55Z","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":"In this note, we classify Stein fillings of an infinite family of contact 3-manifolds up to diffeomorphism. Some contact 3-manifolds in this family can be obtained by Legendrian surgeries on $(S^3,\\xi_{std})$ along certain Legendrian 2-bridge knots. We also classify Stein fillings, up to symplectic deformation, of an infinite family of contact 3-manifolds which can be obtained by Legendrian surgeries on $(S^3,\\xi_{std})$ along certain Legendrian twist knots. As a corollary, we obtain a classification of Stein fillings of an infinite family of contact hyperbolic 3-manifolds up to symplectic def","authors_text":"Amey Kaloti, Youlin Li","cross_cats":["math.SG"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GT","submitted_at":"2013-07-17T18:56:27Z","title":"Stein fillings of contact 3-manifolds obtained as Legendrian surgeries"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1307.4726","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":"sha256:02d50eaba76a961fce472ecd99cf07fc05cb5ed75958ba1c720dfb6c90aff7b1","target":"record","created_at":"2026-05-18T02:29:55Z","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":"fdbe5e242470fc98beff057839bd215b267cd26e52ccce3dc5e0121368b834d4","cross_cats_sorted":["math.SG"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GT","submitted_at":"2013-07-17T18:56:27Z","title_canon_sha256":"e55464fce38c667a0f68f78013446608970320609433a79cc6c667bdc2420fee"},"schema_version":"1.0","source":{"id":"1307.4726","kind":"arxiv","version":2}},"canonical_sha256":"7b1c72658055a8b02cb415bffd62d7d7d2b420312823453d557a4c063df32257","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"7b1c72658055a8b02cb415bffd62d7d7d2b420312823453d557a4c063df32257","first_computed_at":"2026-05-18T02:29:55.243869Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:29:55.243869Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"NrypjQ7xijlEV7Xz6HOOoY7hpIyZCD/AHIdqoOB7BCzLJDarqzm+5W4urBL/5pMJPNnl1r/cjG6GA6U3DFdxAg==","signature_status":"signed_v1","signed_at":"2026-05-18T02:29:55.244889Z","signed_message":"canonical_sha256_bytes"},"source_id":"1307.4726","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:02d50eaba76a961fce472ecd99cf07fc05cb5ed75958ba1c720dfb6c90aff7b1","sha256:b8297e89d7db08ef6f9a37fae4b9c19ebb01b4a7ee8aa077ab6fa9776ae309b7"],"state_sha256":"a994767e1cd9e34c3592a7f349a9abee027517b397ceff5b6d46bb458840fb5a"}