{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:XMXWH2ENPMILW4RZTQ3BOJZSSC","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":"772a8a31e5dfd979d667540875d5307bd6d27ce1bd7e2f3681a40b8c49700964","cross_cats_sorted":["math.SG"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GT","submitted_at":"2017-12-20T01:58:13Z","title_canon_sha256":"a976af7fe23bef8611bcde1f8090b39a73193769188ede3512a823b2fc96f936"},"schema_version":"1.0","source":{"id":"1712.07287","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1712.07287","created_at":"2026-05-17T23:55:34Z"},{"alias_kind":"arxiv_version","alias_value":"1712.07287v2","created_at":"2026-05-17T23:55:34Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1712.07287","created_at":"2026-05-17T23:55:34Z"},{"alias_kind":"pith_short_12","alias_value":"XMXWH2ENPMIL","created_at":"2026-05-18T12:31:56Z"},{"alias_kind":"pith_short_16","alias_value":"XMXWH2ENPMILW4RZ","created_at":"2026-05-18T12:31:56Z"},{"alias_kind":"pith_short_8","alias_value":"XMXWH2EN","created_at":"2026-05-18T12:31:56Z"}],"graph_snapshots":[{"event_id":"sha256:f902a56bc92234958a7acb8a24bfecc5b607834fe2f438e498d49acd0c26b0ac","target":"graph","created_at":"2026-05-17T23:55:34Z","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":"This paper completely answers the question of when contact (r)-surgery on a Legendrian knot in the standard contact structure on the 3-sphere yields a symplectically fillable contact manifold for r in (0,1]. We also give obstructions for other positive r and investigate Lagrangian fillings of Legendrian knots.","authors_text":"B\\\"ulent Tosun, James Conway, John B. Etnyre","cross_cats":["math.SG"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GT","submitted_at":"2017-12-20T01:58:13Z","title":"Symplectic fillings, contact surgeries, and Lagrangian disks"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1712.07287","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":"sha256:2f6ebb32de07188baecc808efc28249c90fc5d32a1ead8334e9e7dd99e39c2e5","target":"record","created_at":"2026-05-17T23:55:34Z","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":"772a8a31e5dfd979d667540875d5307bd6d27ce1bd7e2f3681a40b8c49700964","cross_cats_sorted":["math.SG"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GT","submitted_at":"2017-12-20T01:58:13Z","title_canon_sha256":"a976af7fe23bef8611bcde1f8090b39a73193769188ede3512a823b2fc96f936"},"schema_version":"1.0","source":{"id":"1712.07287","kind":"arxiv","version":2}},"canonical_sha256":"bb2f63e88d7b10bb72399c3617273290af0cfde0d2664f3c53b0f55f0fcb3ce9","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"bb2f63e88d7b10bb72399c3617273290af0cfde0d2664f3c53b0f55f0fcb3ce9","first_computed_at":"2026-05-17T23:55:34.604532Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:55:34.604532Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"qkPteG5HZsYKbUcuvchi1s8TehTVRFSBEgYhsk9DUVLwhL2X9FAtN4FOdIRJSIh2sWYvUQ42kn8B/o+ShpviCw==","signature_status":"signed_v1","signed_at":"2026-05-17T23:55:34.605192Z","signed_message":"canonical_sha256_bytes"},"source_id":"1712.07287","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:2f6ebb32de07188baecc808efc28249c90fc5d32a1ead8334e9e7dd99e39c2e5","sha256:f902a56bc92234958a7acb8a24bfecc5b607834fe2f438e498d49acd0c26b0ac"],"state_sha256":"520fdeb850c3eb4840052572aead1d830a9369d1f6d518e99722aad7e73560ed"}