{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2010:OKV5TDDM42XZIQVW5FB727R77D","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":"d9c4479092cd365f3f8d00366d857c7efe2dc2673f1b7ef9835fe0d7053cfc0b","cross_cats_sorted":["math.GT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.SG","submitted_at":"2010-07-18T15:13:15Z","title_canon_sha256":"5befe2fe47444bb06a5966b610f9472897181bd96ca20ec47ff2718fd5bac2be"},"schema_version":"1.0","source":{"id":"1007.3010","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1007.3010","created_at":"2026-05-18T02:41:50Z"},{"alias_kind":"arxiv_version","alias_value":"1007.3010v2","created_at":"2026-05-18T02:41:50Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1007.3010","created_at":"2026-05-18T02:41:50Z"},{"alias_kind":"pith_short_12","alias_value":"OKV5TDDM42XZ","created_at":"2026-05-18T12:26:12Z"},{"alias_kind":"pith_short_16","alias_value":"OKV5TDDM42XZIQVW","created_at":"2026-05-18T12:26:12Z"},{"alias_kind":"pith_short_8","alias_value":"OKV5TDDM","created_at":"2026-05-18T12:26:12Z"}],"graph_snapshots":[{"event_id":"sha256:894e0232bbaafb37bc8108e3ee464bddad17cd3f52a87d4d041ec57e53fe0f34","target":"graph","created_at":"2026-05-18T02:41:50Z","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 characterize the closed, oriented, Seifert fibered 3-manifolds which are oriented boundaries of Stein manifolds. We also show that for this class of 3-manifolds the existence of Stein fillings is equivalent to the existence of symplectic fillings.","authors_text":"Ana G. Lecuona, Paolo Lisca","cross_cats":["math.GT"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.SG","submitted_at":"2010-07-18T15:13:15Z","title":"Stein fillable Seifert fibered 3-manifolds"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1007.3010","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":"sha256:147963cce3f52abd0ffb467522d45b142d91a2c412df1df747227eeaf0df1fed","target":"record","created_at":"2026-05-18T02:41:50Z","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":"d9c4479092cd365f3f8d00366d857c7efe2dc2673f1b7ef9835fe0d7053cfc0b","cross_cats_sorted":["math.GT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.SG","submitted_at":"2010-07-18T15:13:15Z","title_canon_sha256":"5befe2fe47444bb06a5966b610f9472897181bd96ca20ec47ff2718fd5bac2be"},"schema_version":"1.0","source":{"id":"1007.3010","kind":"arxiv","version":2}},"canonical_sha256":"72abd98c6ce6af9442b6e943fd7e3ff8f5735b7277e5b436fab52201a072fe26","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"72abd98c6ce6af9442b6e943fd7e3ff8f5735b7277e5b436fab52201a072fe26","first_computed_at":"2026-05-18T02:41:50.825737Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:41:50.825737Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"QkMfayeiZfaVZRUxNDUeodzaKOiO+QCuijMK1Xzif1PYbzjPwWFJg2BTNgfF0KCjD8utTF+3OCqkY2purVoYCw==","signature_status":"signed_v1","signed_at":"2026-05-18T02:41:50.826231Z","signed_message":"canonical_sha256_bytes"},"source_id":"1007.3010","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:147963cce3f52abd0ffb467522d45b142d91a2c412df1df747227eeaf0df1fed","sha256:894e0232bbaafb37bc8108e3ee464bddad17cd3f52a87d4d041ec57e53fe0f34"],"state_sha256":"6f80b0500e3ac221bd9bf3488e73ec612a409ae695f3ea2b31729e611e96a374"}