{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2015:DOCMSXWNEX5OBBURSGXOJLG5AH","short_pith_number":"pith:DOCMSXWN","schema_version":"1.0","canonical_sha256":"1b84c95ecd25fae0869191aee4acdd01c1e271ce952c2262b7e0257a0b75e2a6","source":{"kind":"arxiv","id":"1505.00201","version":2},"attestation_state":"computed","paper":{"title":"Neighbors of knots in the Gordian graph","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.GT","authors_text":"Jesse Johnson, Maggy Tomova, Marion Campisi, Ryan Blair, Scott A. Taylor","submitted_at":"2015-05-01T15:29:08Z","abstract_excerpt":"We show that every knot is one crossing change away from a knot of arbitrarily high bridge number and arbitrarily high bridge distance."},"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":"1505.00201","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GT","submitted_at":"2015-05-01T15:29:08Z","cross_cats_sorted":[],"title_canon_sha256":"7146142c703df3fcbfa53b4b7b16eb442230f5715c575b80629431a683543e83","abstract_canon_sha256":"ec00cd905d7c920484df0bf32fd0ce43f4c046eb332f1baa211e4e554b0625b2"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:12:38.084463Z","signature_b64":"t+PcIQojBQ76G9Wul9YIl3qnuinZGDM5sNSMITSYpFS5gD0sPIgVJUKvXbmlMgrbkOyrn2Zr1bfMbcBFm9HSBQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"1b84c95ecd25fae0869191aee4acdd01c1e271ce952c2262b7e0257a0b75e2a6","last_reissued_at":"2026-05-18T01:12:38.084079Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:12:38.084079Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Neighbors of knots in the Gordian graph","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.GT","authors_text":"Jesse Johnson, Maggy Tomova, Marion Campisi, Ryan Blair, Scott A. Taylor","submitted_at":"2015-05-01T15:29:08Z","abstract_excerpt":"We show that every knot is one crossing change away from a knot of arbitrarily high bridge number and arbitrarily high bridge distance."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1505.00201","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":"1505.00201","created_at":"2026-05-18T01:12:38.084142+00:00"},{"alias_kind":"arxiv_version","alias_value":"1505.00201v2","created_at":"2026-05-18T01:12:38.084142+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1505.00201","created_at":"2026-05-18T01:12:38.084142+00:00"},{"alias_kind":"pith_short_12","alias_value":"DOCMSXWNEX5O","created_at":"2026-05-18T12:29:17.054201+00:00"},{"alias_kind":"pith_short_16","alias_value":"DOCMSXWNEX5OBBUR","created_at":"2026-05-18T12:29:17.054201+00:00"},{"alias_kind":"pith_short_8","alias_value":"DOCMSXWN","created_at":"2026-05-18T12:29:17.054201+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/DOCMSXWNEX5OBBURSGXOJLG5AH","json":"https://pith.science/pith/DOCMSXWNEX5OBBURSGXOJLG5AH.json","graph_json":"https://pith.science/api/pith-number/DOCMSXWNEX5OBBURSGXOJLG5AH/graph.json","events_json":"https://pith.science/api/pith-number/DOCMSXWNEX5OBBURSGXOJLG5AH/events.json","paper":"https://pith.science/paper/DOCMSXWN"},"agent_actions":{"view_html":"https://pith.science/pith/DOCMSXWNEX5OBBURSGXOJLG5AH","download_json":"https://pith.science/pith/DOCMSXWNEX5OBBURSGXOJLG5AH.json","view_paper":"https://pith.science/paper/DOCMSXWN","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1505.00201&json=true","fetch_graph":"https://pith.science/api/pith-number/DOCMSXWNEX5OBBURSGXOJLG5AH/graph.json","fetch_events":"https://pith.science/api/pith-number/DOCMSXWNEX5OBBURSGXOJLG5AH/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/DOCMSXWNEX5OBBURSGXOJLG5AH/action/timestamp_anchor","attest_storage":"https://pith.science/pith/DOCMSXWNEX5OBBURSGXOJLG5AH/action/storage_attestation","attest_author":"https://pith.science/pith/DOCMSXWNEX5OBBURSGXOJLG5AH/action/author_attestation","sign_citation":"https://pith.science/pith/DOCMSXWNEX5OBBURSGXOJLG5AH/action/citation_signature","submit_replication":"https://pith.science/pith/DOCMSXWNEX5OBBURSGXOJLG5AH/action/replication_record"}},"created_at":"2026-05-18T01:12:38.084142+00:00","updated_at":"2026-05-18T01:12:38.084142+00:00"}