{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2017:TIQ7A67OQVFCFUBTARBIKV7ZJZ","short_pith_number":"pith:TIQ7A67O","schema_version":"1.0","canonical_sha256":"9a21f07bee854a22d03304428557f94e7f685ba130a8bac37d67c26c388d77ea","source":{"kind":"arxiv","id":"1710.06036","version":1},"attestation_state":"computed","paper":{"title":"Legendrian ribbons and strongly quasipositive links in an open book","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.SG"],"primary_cat":"math.GT","authors_text":"Kyle Hayden","submitted_at":"2017-10-17T00:20:46Z","abstract_excerpt":"We show that a link in an open book can be realized as a strongly quasipositive braid if and only if it bounds a Legendrian ribbon with respect to the associated contact structure. This generalizes a result due to Baader and Ishikawa for links in the three-sphere. We highlight some related techniques for determining whether or not a link is strongly quasipositive, emphasizing applications to fibered links and satellites."},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"1710.06036","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GT","submitted_at":"2017-10-17T00:20:46Z","cross_cats_sorted":["math.SG"],"title_canon_sha256":"f192264e64a366c13be36f5cb109baa16f2b08ec3e70344c9105bed236827399","abstract_canon_sha256":"11f5d2fb88425331f0145c7d00ad5bba876c80eaf19c158b0666b957d3e9ce88"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:32:38.002411Z","signature_b64":"ho4sph81ORttsl+XcyDrXRn3uvL7bBvVNytL/2luFzdMjLt4ffHVyGmItycGrDdzGNhQtICb0gI8jUfrS7XoDA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"9a21f07bee854a22d03304428557f94e7f685ba130a8bac37d67c26c388d77ea","last_reissued_at":"2026-05-18T00:32:38.001718Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:32:38.001718Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Legendrian ribbons and strongly quasipositive links in an open book","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.SG"],"primary_cat":"math.GT","authors_text":"Kyle Hayden","submitted_at":"2017-10-17T00:20:46Z","abstract_excerpt":"We show that a link in an open book can be realized as a strongly quasipositive braid if and only if it bounds a Legendrian ribbon with respect to the associated contact structure. This generalizes a result due to Baader and Ishikawa for links in the three-sphere. We highlight some related techniques for determining whether or not a link is strongly quasipositive, emphasizing applications to fibered links and satellites."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1710.06036","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"},"aliases":[{"alias_kind":"arxiv","alias_value":"1710.06036","created_at":"2026-05-18T00:32:38.001829+00:00"},{"alias_kind":"arxiv_version","alias_value":"1710.06036v1","created_at":"2026-05-18T00:32:38.001829+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1710.06036","created_at":"2026-05-18T00:32:38.001829+00:00"},{"alias_kind":"pith_short_12","alias_value":"TIQ7A67OQVFC","created_at":"2026-05-18T12:31:46.661854+00:00"},{"alias_kind":"pith_short_16","alias_value":"TIQ7A67OQVFCFUBT","created_at":"2026-05-18T12:31:46.661854+00:00"},{"alias_kind":"pith_short_8","alias_value":"TIQ7A67O","created_at":"2026-05-18T12:31:46.661854+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":1,"internal_anchor_count":0,"sample":[{"citing_arxiv_id":"2605.10502","citing_title":"On T-positive links","ref_index":142,"is_internal_anchor":false}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/TIQ7A67OQVFCFUBTARBIKV7ZJZ","json":"https://pith.science/pith/TIQ7A67OQVFCFUBTARBIKV7ZJZ.json","graph_json":"https://pith.science/api/pith-number/TIQ7A67OQVFCFUBTARBIKV7ZJZ/graph.json","events_json":"https://pith.science/api/pith-number/TIQ7A67OQVFCFUBTARBIKV7ZJZ/events.json","paper":"https://pith.science/paper/TIQ7A67O"},"agent_actions":{"view_html":"https://pith.science/pith/TIQ7A67OQVFCFUBTARBIKV7ZJZ","download_json":"https://pith.science/pith/TIQ7A67OQVFCFUBTARBIKV7ZJZ.json","view_paper":"https://pith.science/paper/TIQ7A67O","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1710.06036&json=true","fetch_graph":"https://pith.science/api/pith-number/TIQ7A67OQVFCFUBTARBIKV7ZJZ/graph.json","fetch_events":"https://pith.science/api/pith-number/TIQ7A67OQVFCFUBTARBIKV7ZJZ/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/TIQ7A67OQVFCFUBTARBIKV7ZJZ/action/timestamp_anchor","attest_storage":"https://pith.science/pith/TIQ7A67OQVFCFUBTARBIKV7ZJZ/action/storage_attestation","attest_author":"https://pith.science/pith/TIQ7A67OQVFCFUBTARBIKV7ZJZ/action/author_attestation","sign_citation":"https://pith.science/pith/TIQ7A67OQVFCFUBTARBIKV7ZJZ/action/citation_signature","submit_replication":"https://pith.science/pith/TIQ7A67OQVFCFUBTARBIKV7ZJZ/action/replication_record"}},"created_at":"2026-05-18T00:32:38.001829+00:00","updated_at":"2026-05-18T00:32:38.001829+00:00"}