{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2018:3INHZ2GVWSDEPSUJLRJ7QKPNQH","short_pith_number":"pith:3INHZ2GV","canonical_record":{"source":{"id":"1811.09148","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.SG","submitted_at":"2018-11-22T12:57:48Z","cross_cats_sorted":["math.GT"],"title_canon_sha256":"8eac7dccb88b47bb56cf8a7a64aa2351680891bb6f07567ece19c9592973430b","abstract_canon_sha256":"47fc582106c5593d4e492d020b4771e8204856760e5612a685ed4152d0642e2a"},"schema_version":"1.0"},"canonical_sha256":"da1a7ce8d5b48647ca895c53f829ed81fbe2549fecf71ba38b0b1edfc17dc9c0","source":{"kind":"arxiv","id":"1811.09148","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1811.09148","created_at":"2026-05-18T00:00:06Z"},{"alias_kind":"arxiv_version","alias_value":"1811.09148v1","created_at":"2026-05-18T00:00:06Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1811.09148","created_at":"2026-05-18T00:00:06Z"},{"alias_kind":"pith_short_12","alias_value":"3INHZ2GVWSDE","created_at":"2026-05-18T12:32:02Z"},{"alias_kind":"pith_short_16","alias_value":"3INHZ2GVWSDEPSUJ","created_at":"2026-05-18T12:32:02Z"},{"alias_kind":"pith_short_8","alias_value":"3INHZ2GV","created_at":"2026-05-18T12:32:02Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2018:3INHZ2GVWSDEPSUJLRJ7QKPNQH","target":"record","payload":{"canonical_record":{"source":{"id":"1811.09148","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.SG","submitted_at":"2018-11-22T12:57:48Z","cross_cats_sorted":["math.GT"],"title_canon_sha256":"8eac7dccb88b47bb56cf8a7a64aa2351680891bb6f07567ece19c9592973430b","abstract_canon_sha256":"47fc582106c5593d4e492d020b4771e8204856760e5612a685ed4152d0642e2a"},"schema_version":"1.0"},"canonical_sha256":"da1a7ce8d5b48647ca895c53f829ed81fbe2549fecf71ba38b0b1edfc17dc9c0","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:00:06.913247Z","signature_b64":"4TY+7k9AVyQoVFOW5GIlwVYECIZHZZjzpd/KdrUHQKhZdUqDqFEjxHyNfoU3hNzxjQWt9iLRUHXJPM7aMs9PBA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"da1a7ce8d5b48647ca895c53f829ed81fbe2549fecf71ba38b0b1edfc17dc9c0","last_reissued_at":"2026-05-18T00:00:06.912551Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:00:06.912551Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1811.09148","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T00:00:06Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"XjA6Xkj9HgoEStn+9pKtgU8d1J2IbPmqqWAV/6MZYaEmmrKyG6biTwMy4thv+uACkIeXskJRUJytHVlUMF7+Cg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-20T23:36:20.504747Z"},"content_sha256":"c51b2c22b5fd1cce1ac147c4a626f8fa886806cd24f4088a9dd41680b6722772","schema_version":"1.0","event_id":"sha256:c51b2c22b5fd1cce1ac147c4a626f8fa886806cd24f4088a9dd41680b6722772"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2018:3INHZ2GVWSDEPSUJLRJ7QKPNQH","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Foliations, contact structures and their interactions in dimension three","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.GT"],"primary_cat":"math.SG","authors_text":"Ko Honda, Vincent Colin (LMJL)","submitted_at":"2018-11-22T12:57:48Z","abstract_excerpt":"We survey the interactions between foliations and contact structures in dimension three, with an emphasis on sutured manifolds and invariants of sutured contact manifolds. This paper contains two original results: the fact that a closed orientable irreducible 3-manifold M with nonzero second homol-ogy carries a hypertight contact structure and the fact that an orientable, taut, balanced sutured 3-manifold is not a product if and only if it carries a contact structure with nontrivial cylindrical contact homology. The proof of the second statement uses the Handel-Miller theory of end-periodic di"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1811.09148","kind":"arxiv","version":1},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"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":"2026-05-18T00:00:06Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"VSHJ/pauikthm2xfCPXAH3EvfvL9FDm+SFksPXwvkhiDhVTzg1WzcVfa8YlHNmJN9cUFUWgLnte7IV4LFzlRCA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-20T23:36:20.505093Z"},"content_sha256":"f8ed8679e4976204c1f42a13ec595f6cda26bfb418a46ee30a35dda88c66e627","schema_version":"1.0","event_id":"sha256:f8ed8679e4976204c1f42a13ec595f6cda26bfb418a46ee30a35dda88c66e627"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/3INHZ2GVWSDEPSUJLRJ7QKPNQH/bundle.json","state_url":"https://pith.science/pith/3INHZ2GVWSDEPSUJLRJ7QKPNQH/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/3INHZ2GVWSDEPSUJLRJ7QKPNQH/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":"2026-06-20T23:36:20Z","links":{"resolver":"https://pith.science/pith/3INHZ2GVWSDEPSUJLRJ7QKPNQH","bundle":"https://pith.science/pith/3INHZ2GVWSDEPSUJLRJ7QKPNQH/bundle.json","state":"https://pith.science/pith/3INHZ2GVWSDEPSUJLRJ7QKPNQH/state.json","well_known_bundle":"https://pith.science/.well-known/pith/3INHZ2GVWSDEPSUJLRJ7QKPNQH/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:3INHZ2GVWSDEPSUJLRJ7QKPNQH","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":"47fc582106c5593d4e492d020b4771e8204856760e5612a685ed4152d0642e2a","cross_cats_sorted":["math.GT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.SG","submitted_at":"2018-11-22T12:57:48Z","title_canon_sha256":"8eac7dccb88b47bb56cf8a7a64aa2351680891bb6f07567ece19c9592973430b"},"schema_version":"1.0","source":{"id":"1811.09148","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1811.09148","created_at":"2026-05-18T00:00:06Z"},{"alias_kind":"arxiv_version","alias_value":"1811.09148v1","created_at":"2026-05-18T00:00:06Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1811.09148","created_at":"2026-05-18T00:00:06Z"},{"alias_kind":"pith_short_12","alias_value":"3INHZ2GVWSDE","created_at":"2026-05-18T12:32:02Z"},{"alias_kind":"pith_short_16","alias_value":"3INHZ2GVWSDEPSUJ","created_at":"2026-05-18T12:32:02Z"},{"alias_kind":"pith_short_8","alias_value":"3INHZ2GV","created_at":"2026-05-18T12:32:02Z"}],"graph_snapshots":[{"event_id":"sha256:f8ed8679e4976204c1f42a13ec595f6cda26bfb418a46ee30a35dda88c66e627","target":"graph","created_at":"2026-05-18T00:00:06Z","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 survey the interactions between foliations and contact structures in dimension three, with an emphasis on sutured manifolds and invariants of sutured contact manifolds. This paper contains two original results: the fact that a closed orientable irreducible 3-manifold M with nonzero second homol-ogy carries a hypertight contact structure and the fact that an orientable, taut, balanced sutured 3-manifold is not a product if and only if it carries a contact structure with nontrivial cylindrical contact homology. The proof of the second statement uses the Handel-Miller theory of end-periodic di","authors_text":"Ko Honda, Vincent Colin (LMJL)","cross_cats":["math.GT"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.SG","submitted_at":"2018-11-22T12:57:48Z","title":"Foliations, contact structures and their interactions in dimension three"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1811.09148","kind":"arxiv","version":1},"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:c51b2c22b5fd1cce1ac147c4a626f8fa886806cd24f4088a9dd41680b6722772","target":"record","created_at":"2026-05-18T00:00:06Z","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":"47fc582106c5593d4e492d020b4771e8204856760e5612a685ed4152d0642e2a","cross_cats_sorted":["math.GT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.SG","submitted_at":"2018-11-22T12:57:48Z","title_canon_sha256":"8eac7dccb88b47bb56cf8a7a64aa2351680891bb6f07567ece19c9592973430b"},"schema_version":"1.0","source":{"id":"1811.09148","kind":"arxiv","version":1}},"canonical_sha256":"da1a7ce8d5b48647ca895c53f829ed81fbe2549fecf71ba38b0b1edfc17dc9c0","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"da1a7ce8d5b48647ca895c53f829ed81fbe2549fecf71ba38b0b1edfc17dc9c0","first_computed_at":"2026-05-18T00:00:06.912551Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:00:06.912551Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"4TY+7k9AVyQoVFOW5GIlwVYECIZHZZjzpd/KdrUHQKhZdUqDqFEjxHyNfoU3hNzxjQWt9iLRUHXJPM7aMs9PBA==","signature_status":"signed_v1","signed_at":"2026-05-18T00:00:06.913247Z","signed_message":"canonical_sha256_bytes"},"source_id":"1811.09148","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:c51b2c22b5fd1cce1ac147c4a626f8fa886806cd24f4088a9dd41680b6722772","sha256:f8ed8679e4976204c1f42a13ec595f6cda26bfb418a46ee30a35dda88c66e627"],"state_sha256":"c6761d11335cd77f2feb912c403f1628b59ab11c78ce32eb5be37bc594692ecd"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"jtAqh7E7hNZyby2O3YgT3K/QzKvpdk8p5KJkZpQrrV439esG/KjDcm1vaza7QT9OLGxipgi4ey/q5SvoBZBQBQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-20T23:36:20.507025Z","bundle_sha256":"e6e056fdea0fed6bf5fec8a330e6d48b6bf2d4ff20721000b70b684d28ccc9f7"}}