{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2017:HW4B4JMHC45Q6HUIUXLARVLJKF","short_pith_number":"pith:HW4B4JMH","schema_version":"1.0","canonical_sha256":"3db81e2587173b0f1e88a5d608d56951555af7ff093c068631c3b9a72ae4cd41","source":{"kind":"arxiv","id":"1702.07547","version":1},"attestation_state":"computed","paper":{"title":"Morse structures on partial open books with extendable monodromy","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.GT"],"primary_cat":"math.SG","authors_text":"Daniel V. Mathews, Joan E. Licata","submitted_at":"2017-02-24T11:50:48Z","abstract_excerpt":"The first author in recent work with D. Gay developed the notion of a Morse structure on an open book as a tool for studying closed contact 3-manifolds. We extend the notion of Morse structure to extendable partial open books in order to study contact 3-manifolds with convex boundary."},"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":"1702.07547","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.SG","submitted_at":"2017-02-24T11:50:48Z","cross_cats_sorted":["math.GT"],"title_canon_sha256":"65ceadc1dddd8f4d872f3af1c71f97aeaeff5f4b0c390f033ec8af9abf08a8e9","abstract_canon_sha256":"b52e1dd5b7dcec4f583900e68d6a251364595f2cb8a7455a6d69e26156212ec5"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:50:02.960143Z","signature_b64":"7OigRjR+cQj7aRIo4hZtHBZ/6bOvLGshXqAGnyAv7kOKQHnKZNMxSzFfjgqCqNU3R/63PTl1BOJY6BpKriR8Cw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"3db81e2587173b0f1e88a5d608d56951555af7ff093c068631c3b9a72ae4cd41","last_reissued_at":"2026-05-18T00:50:02.959459Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:50:02.959459Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Morse structures on partial open books with extendable monodromy","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.GT"],"primary_cat":"math.SG","authors_text":"Daniel V. Mathews, Joan E. Licata","submitted_at":"2017-02-24T11:50:48Z","abstract_excerpt":"The first author in recent work with D. Gay developed the notion of a Morse structure on an open book as a tool for studying closed contact 3-manifolds. We extend the notion of Morse structure to extendable partial open books in order to study contact 3-manifolds with convex boundary."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1702.07547","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":"1702.07547","created_at":"2026-05-18T00:50:02.959564+00:00"},{"alias_kind":"arxiv_version","alias_value":"1702.07547v1","created_at":"2026-05-18T00:50:02.959564+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1702.07547","created_at":"2026-05-18T00:50:02.959564+00:00"},{"alias_kind":"pith_short_12","alias_value":"HW4B4JMHC45Q","created_at":"2026-05-18T12:31:21.493067+00:00"},{"alias_kind":"pith_short_16","alias_value":"HW4B4JMHC45Q6HUI","created_at":"2026-05-18T12:31:21.493067+00:00"},{"alias_kind":"pith_short_8","alias_value":"HW4B4JMH","created_at":"2026-05-18T12:31:21.493067+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/HW4B4JMHC45Q6HUIUXLARVLJKF","json":"https://pith.science/pith/HW4B4JMHC45Q6HUIUXLARVLJKF.json","graph_json":"https://pith.science/api/pith-number/HW4B4JMHC45Q6HUIUXLARVLJKF/graph.json","events_json":"https://pith.science/api/pith-number/HW4B4JMHC45Q6HUIUXLARVLJKF/events.json","paper":"https://pith.science/paper/HW4B4JMH"},"agent_actions":{"view_html":"https://pith.science/pith/HW4B4JMHC45Q6HUIUXLARVLJKF","download_json":"https://pith.science/pith/HW4B4JMHC45Q6HUIUXLARVLJKF.json","view_paper":"https://pith.science/paper/HW4B4JMH","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1702.07547&json=true","fetch_graph":"https://pith.science/api/pith-number/HW4B4JMHC45Q6HUIUXLARVLJKF/graph.json","fetch_events":"https://pith.science/api/pith-number/HW4B4JMHC45Q6HUIUXLARVLJKF/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/HW4B4JMHC45Q6HUIUXLARVLJKF/action/timestamp_anchor","attest_storage":"https://pith.science/pith/HW4B4JMHC45Q6HUIUXLARVLJKF/action/storage_attestation","attest_author":"https://pith.science/pith/HW4B4JMHC45Q6HUIUXLARVLJKF/action/author_attestation","sign_citation":"https://pith.science/pith/HW4B4JMHC45Q6HUIUXLARVLJKF/action/citation_signature","submit_replication":"https://pith.science/pith/HW4B4JMHC45Q6HUIUXLARVLJKF/action/replication_record"}},"created_at":"2026-05-18T00:50:02.959564+00:00","updated_at":"2026-05-18T00:50:02.959564+00:00"}