{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2019:5K4QBJQ766FLTS6YNAGWTUL3BO","short_pith_number":"pith:5K4QBJQ7","canonical_record":{"source":{"id":"1901.06066","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GT","submitted_at":"2019-01-18T02:55:04Z","cross_cats_sorted":["math.SG"],"title_canon_sha256":"a7e288244ddc2175de50b275a9a1c11464599798ba8d75b57b0eb7eab5862322","abstract_canon_sha256":"32e0e49134e2187384384ad4a1156edd3756286f23c9845965ca4ce9dd4dea1b"},"schema_version":"1.0"},"canonical_sha256":"eab900a61ff78ab9cbd8680d69d17b0b9603f5cf1cadfa50d0be8f17b3a3f7fe","source":{"kind":"arxiv","id":"1901.06066","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1901.06066","created_at":"2026-07-05T02:04:02Z"},{"alias_kind":"arxiv_version","alias_value":"1901.06066v2","created_at":"2026-07-05T02:04:02Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1901.06066","created_at":"2026-07-05T02:04:02Z"},{"alias_kind":"pith_short_12","alias_value":"5K4QBJQ766FL","created_at":"2026-07-05T02:04:02Z"},{"alias_kind":"pith_short_16","alias_value":"5K4QBJQ766FLTS6Y","created_at":"2026-07-05T02:04:02Z"},{"alias_kind":"pith_short_8","alias_value":"5K4QBJQ7","created_at":"2026-07-05T02:04:02Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2019:5K4QBJQ766FLTS6YNAGWTUL3BO","target":"record","payload":{"canonical_record":{"source":{"id":"1901.06066","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GT","submitted_at":"2019-01-18T02:55:04Z","cross_cats_sorted":["math.SG"],"title_canon_sha256":"a7e288244ddc2175de50b275a9a1c11464599798ba8d75b57b0eb7eab5862322","abstract_canon_sha256":"32e0e49134e2187384384ad4a1156edd3756286f23c9845965ca4ce9dd4dea1b"},"schema_version":"1.0"},"canonical_sha256":"eab900a61ff78ab9cbd8680d69d17b0b9603f5cf1cadfa50d0be8f17b3a3f7fe","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T02:04:02.766553Z","signature_b64":"Fh8T3k1Gx0cMs/gh8HYXxHycgzbkugoBSJQMOn15+f6x+au96S9ryt/Jns3ofsBdgBJkKUZvqTR0MpiGYY6tDQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"eab900a61ff78ab9cbd8680d69d17b0b9603f5cf1cadfa50d0be8f17b3a3f7fe","last_reissued_at":"2026-07-05T02:04:02.766052Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T02:04:02.766052Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1901.06066","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-05T02:04:02Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"G5MbJbWbP+KOS/JUAUPpuj1y9Yc7NlqruNIhRHFmaW7MiuVA2y7/jnW+jYvCErt7PaUGHdiJ6GfEQwZ0HqWADQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-18T23:45:56.540233Z"},"content_sha256":"202c0ab4695ad7022dacc204b17357c14bc96c295a3a8f368eb3aaf338998f45","schema_version":"1.0","event_id":"sha256:202c0ab4695ad7022dacc204b17357c14bc96c295a3a8f368eb3aaf338998f45"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2019:5K4QBJQ766FLTS6YNAGWTUL3BO","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Classification of tight contact structures on surgeries on the figure-eight knot","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.SG"],"primary_cat":"math.GT","authors_text":"Hyunki Min, James Conway","submitted_at":"2019-01-18T02:55:04Z","abstract_excerpt":"Two of the basic questions in contact topology are which manifolds admit tight contact structures, and on those that do, can we classify such structures. We present the first such classification on an infinite family of (mostly) hyperbolic 3-manifolds: surgeries on the figure-eight knot. We also determine which of the tight contact structures are symplectically fillable and which are universally tight."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1901.06066","kind":"arxiv","version":2},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/1901.06066/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-05T02:04:02Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"5cEjKDOd035EV+hdyCDapGWr1kaqX2uYt9ry7IEkYWywb17Ba4TJmXJ3uBjuuNce/6NBE2cc3wYmBF3aX85nAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-18T23:45:56.540758Z"},"content_sha256":"8f60ab250f50e5ea8e87590b8f27852cfe783325219a7d62dd1a4eb609045d5e","schema_version":"1.0","event_id":"sha256:8f60ab250f50e5ea8e87590b8f27852cfe783325219a7d62dd1a4eb609045d5e"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/5K4QBJQ766FLTS6YNAGWTUL3BO/bundle.json","state_url":"https://pith.science/pith/5K4QBJQ766FLTS6YNAGWTUL3BO/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/5K4QBJQ766FLTS6YNAGWTUL3BO/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-08-18T23:45:56Z","links":{"resolver":"https://pith.science/pith/5K4QBJQ766FLTS6YNAGWTUL3BO","bundle":"https://pith.science/pith/5K4QBJQ766FLTS6YNAGWTUL3BO/bundle.json","state":"https://pith.science/pith/5K4QBJQ766FLTS6YNAGWTUL3BO/state.json","well_known_bundle":"https://pith.science/.well-known/pith/5K4QBJQ766FLTS6YNAGWTUL3BO/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2019:5K4QBJQ766FLTS6YNAGWTUL3BO","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":"32e0e49134e2187384384ad4a1156edd3756286f23c9845965ca4ce9dd4dea1b","cross_cats_sorted":["math.SG"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GT","submitted_at":"2019-01-18T02:55:04Z","title_canon_sha256":"a7e288244ddc2175de50b275a9a1c11464599798ba8d75b57b0eb7eab5862322"},"schema_version":"1.0","source":{"id":"1901.06066","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1901.06066","created_at":"2026-07-05T02:04:02Z"},{"alias_kind":"arxiv_version","alias_value":"1901.06066v2","created_at":"2026-07-05T02:04:02Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1901.06066","created_at":"2026-07-05T02:04:02Z"},{"alias_kind":"pith_short_12","alias_value":"5K4QBJQ766FL","created_at":"2026-07-05T02:04:02Z"},{"alias_kind":"pith_short_16","alias_value":"5K4QBJQ766FLTS6Y","created_at":"2026-07-05T02:04:02Z"},{"alias_kind":"pith_short_8","alias_value":"5K4QBJQ7","created_at":"2026-07-05T02:04:02Z"}],"graph_snapshots":[{"event_id":"sha256:8f60ab250f50e5ea8e87590b8f27852cfe783325219a7d62dd1a4eb609045d5e","target":"graph","created_at":"2026-07-05T02:04:02Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/1901.06066/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Two of the basic questions in contact topology are which manifolds admit tight contact structures, and on those that do, can we classify such structures. We present the first such classification on an infinite family of (mostly) hyperbolic 3-manifolds: surgeries on the figure-eight knot. We also determine which of the tight contact structures are symplectically fillable and which are universally tight.","authors_text":"Hyunki Min, James Conway","cross_cats":["math.SG"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GT","submitted_at":"2019-01-18T02:55:04Z","title":"Classification of tight contact structures on surgeries on the figure-eight knot"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1901.06066","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":"sha256:202c0ab4695ad7022dacc204b17357c14bc96c295a3a8f368eb3aaf338998f45","target":"record","created_at":"2026-07-05T02:04:02Z","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":"32e0e49134e2187384384ad4a1156edd3756286f23c9845965ca4ce9dd4dea1b","cross_cats_sorted":["math.SG"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GT","submitted_at":"2019-01-18T02:55:04Z","title_canon_sha256":"a7e288244ddc2175de50b275a9a1c11464599798ba8d75b57b0eb7eab5862322"},"schema_version":"1.0","source":{"id":"1901.06066","kind":"arxiv","version":2}},"canonical_sha256":"eab900a61ff78ab9cbd8680d69d17b0b9603f5cf1cadfa50d0be8f17b3a3f7fe","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"eab900a61ff78ab9cbd8680d69d17b0b9603f5cf1cadfa50d0be8f17b3a3f7fe","first_computed_at":"2026-07-05T02:04:02.766052Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T02:04:02.766052Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Fh8T3k1Gx0cMs/gh8HYXxHycgzbkugoBSJQMOn15+f6x+au96S9ryt/Jns3ofsBdgBJkKUZvqTR0MpiGYY6tDQ==","signature_status":"signed_v1","signed_at":"2026-07-05T02:04:02.766553Z","signed_message":"canonical_sha256_bytes"},"source_id":"1901.06066","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:202c0ab4695ad7022dacc204b17357c14bc96c295a3a8f368eb3aaf338998f45","sha256:8f60ab250f50e5ea8e87590b8f27852cfe783325219a7d62dd1a4eb609045d5e"],"state_sha256":"803733b777aa13b680810cd70b1518134fdc21c56367408bf454adb40d18a478"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"80eHg/nzEsDATg6Cfa7EQMo8CRGS2PNXCt4CQ7h6nYCoeCmid4JW2I2RuILFNq4EZyFT5s+0jOsR7aC3A8reCQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-18T23:45:56.545438Z","bundle_sha256":"5a1756878763da7b22549e401fb2c5b997b0c03f0db0060b3e3a44e2bd95c96e"}}