{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2015:SUZM367BDN4K2DEU5FYMBE4E6X","short_pith_number":"pith:SUZM367B","schema_version":"1.0","canonical_sha256":"9532cdfbe11b78ad0c94e970c09384f5de18d0efda0a2656dc1ff2a6d2141bef","source":{"kind":"arxiv","id":"1503.08521","version":2},"attestation_state":"computed","paper":{"title":"Morse area and Scharlemann-Thompson width for hyperbolic 3-manifolds","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.GT","authors_text":"Diane Hoffoss, Joseph Maher","submitted_at":"2015-03-30T01:56:23Z","abstract_excerpt":"Scharlemann and Thompson define a numerical complexity for a 3-manifold using handle decompositions of the manifold. We show that for compact hyperbolic 3-manifolds this is linearly related to a definition of metric complexity in terms of the areas of level sets of Morse functions."},"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":"1503.08521","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GT","submitted_at":"2015-03-30T01:56:23Z","cross_cats_sorted":[],"title_canon_sha256":"e9658c51542f86808f1f00e562b03c3e311f9c3ad9dfde1f3029727b4634c6e8","abstract_canon_sha256":"96945a8777e1da7c84f89b1ecef103f58a40e52eb52f70d8b0e08f7cfab39d0d"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:20:36.672100Z","signature_b64":"onrx64YNbxjaF1OlCLssij0cS5fqynhOocFD0hJtg7cPQl6cc1SRcCnuwgsCG5R9O99yKFHopW0hP7b5EedFDw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"9532cdfbe11b78ad0c94e970c09384f5de18d0efda0a2656dc1ff2a6d2141bef","last_reissued_at":"2026-05-18T01:20:36.671347Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:20:36.671347Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Morse area and Scharlemann-Thompson width for hyperbolic 3-manifolds","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.GT","authors_text":"Diane Hoffoss, Joseph Maher","submitted_at":"2015-03-30T01:56:23Z","abstract_excerpt":"Scharlemann and Thompson define a numerical complexity for a 3-manifold using handle decompositions of the manifold. We show that for compact hyperbolic 3-manifolds this is linearly related to a definition of metric complexity in terms of the areas of level sets of Morse functions."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1503.08521","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":""},"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":"1503.08521","created_at":"2026-05-18T01:20:36.671464+00:00"},{"alias_kind":"arxiv_version","alias_value":"1503.08521v2","created_at":"2026-05-18T01:20:36.671464+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1503.08521","created_at":"2026-05-18T01:20:36.671464+00:00"},{"alias_kind":"pith_short_12","alias_value":"SUZM367BDN4K","created_at":"2026-05-18T12:29:42.218222+00:00"},{"alias_kind":"pith_short_16","alias_value":"SUZM367BDN4K2DEU","created_at":"2026-05-18T12:29:42.218222+00:00"},{"alias_kind":"pith_short_8","alias_value":"SUZM367B","created_at":"2026-05-18T12:29:42.218222+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/SUZM367BDN4K2DEU5FYMBE4E6X","json":"https://pith.science/pith/SUZM367BDN4K2DEU5FYMBE4E6X.json","graph_json":"https://pith.science/api/pith-number/SUZM367BDN4K2DEU5FYMBE4E6X/graph.json","events_json":"https://pith.science/api/pith-number/SUZM367BDN4K2DEU5FYMBE4E6X/events.json","paper":"https://pith.science/paper/SUZM367B"},"agent_actions":{"view_html":"https://pith.science/pith/SUZM367BDN4K2DEU5FYMBE4E6X","download_json":"https://pith.science/pith/SUZM367BDN4K2DEU5FYMBE4E6X.json","view_paper":"https://pith.science/paper/SUZM367B","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1503.08521&json=true","fetch_graph":"https://pith.science/api/pith-number/SUZM367BDN4K2DEU5FYMBE4E6X/graph.json","fetch_events":"https://pith.science/api/pith-number/SUZM367BDN4K2DEU5FYMBE4E6X/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/SUZM367BDN4K2DEU5FYMBE4E6X/action/timestamp_anchor","attest_storage":"https://pith.science/pith/SUZM367BDN4K2DEU5FYMBE4E6X/action/storage_attestation","attest_author":"https://pith.science/pith/SUZM367BDN4K2DEU5FYMBE4E6X/action/author_attestation","sign_citation":"https://pith.science/pith/SUZM367BDN4K2DEU5FYMBE4E6X/action/citation_signature","submit_replication":"https://pith.science/pith/SUZM367BDN4K2DEU5FYMBE4E6X/action/replication_record"}},"created_at":"2026-05-18T01:20:36.671464+00:00","updated_at":"2026-05-18T01:20:36.671464+00:00"}