{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2018:OBWPG6NNNKSEPCXNFCE3V5MYGK","short_pith_number":"pith:OBWPG6NN","schema_version":"1.0","canonical_sha256":"706cf379ad6aa4478aed2889baf5983284b70c2001fe60fe1f8312c917718d6e","source":{"kind":"arxiv","id":"1808.10296","version":1},"attestation_state":"computed","paper":{"title":"Goeritz and Seifert Matrices from Dehn Presentations","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.GT","authors_text":"Daniel S. Silver, Lorenzo Traldi, Susan G. Williams","submitted_at":"2018-08-30T13:43:01Z","abstract_excerpt":"The Goeritz matrix of a link is obtained from the Jacobian matrix of a modified Dehn presentation associated to a diagram using Fox's free differential calculus. When the diagram is special the Seifert matrix can also be determined from the presentation."},"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":"1808.10296","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GT","submitted_at":"2018-08-30T13:43:01Z","cross_cats_sorted":[],"title_canon_sha256":"4bb965a09f046caf4823f7594909e83b60b488d86b7f8b96f27a0259ef57927e","abstract_canon_sha256":"5fae8dfeb3458439a6130ee9208355eb7ce5ff5936dec7428c98fc7db9899217"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:06:49.225297Z","signature_b64":"vS7k3NYMwk6fjQTczZTehj3TJd36iriUv4RGUUVUNjj8vAOBH2NSWSDcgN/W5smy4E4Hls4f1ZxBNjP9IDNxCA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"706cf379ad6aa4478aed2889baf5983284b70c2001fe60fe1f8312c917718d6e","last_reissued_at":"2026-05-18T00:06:49.224841Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:06:49.224841Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Goeritz and Seifert Matrices from Dehn Presentations","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.GT","authors_text":"Daniel S. Silver, Lorenzo Traldi, Susan G. Williams","submitted_at":"2018-08-30T13:43:01Z","abstract_excerpt":"The Goeritz matrix of a link is obtained from the Jacobian matrix of a modified Dehn presentation associated to a diagram using Fox's free differential calculus. When the diagram is special the Seifert matrix can also be determined from the presentation."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1808.10296","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":"1808.10296","created_at":"2026-05-18T00:06:49.224913+00:00"},{"alias_kind":"arxiv_version","alias_value":"1808.10296v1","created_at":"2026-05-18T00:06:49.224913+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1808.10296","created_at":"2026-05-18T00:06:49.224913+00:00"},{"alias_kind":"pith_short_12","alias_value":"OBWPG6NNNKSE","created_at":"2026-05-18T12:32:43.782077+00:00"},{"alias_kind":"pith_short_16","alias_value":"OBWPG6NNNKSEPCXN","created_at":"2026-05-18T12:32:43.782077+00:00"},{"alias_kind":"pith_short_8","alias_value":"OBWPG6NN","created_at":"2026-05-18T12:32:43.782077+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/OBWPG6NNNKSEPCXNFCE3V5MYGK","json":"https://pith.science/pith/OBWPG6NNNKSEPCXNFCE3V5MYGK.json","graph_json":"https://pith.science/api/pith-number/OBWPG6NNNKSEPCXNFCE3V5MYGK/graph.json","events_json":"https://pith.science/api/pith-number/OBWPG6NNNKSEPCXNFCE3V5MYGK/events.json","paper":"https://pith.science/paper/OBWPG6NN"},"agent_actions":{"view_html":"https://pith.science/pith/OBWPG6NNNKSEPCXNFCE3V5MYGK","download_json":"https://pith.science/pith/OBWPG6NNNKSEPCXNFCE3V5MYGK.json","view_paper":"https://pith.science/paper/OBWPG6NN","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1808.10296&json=true","fetch_graph":"https://pith.science/api/pith-number/OBWPG6NNNKSEPCXNFCE3V5MYGK/graph.json","fetch_events":"https://pith.science/api/pith-number/OBWPG6NNNKSEPCXNFCE3V5MYGK/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/OBWPG6NNNKSEPCXNFCE3V5MYGK/action/timestamp_anchor","attest_storage":"https://pith.science/pith/OBWPG6NNNKSEPCXNFCE3V5MYGK/action/storage_attestation","attest_author":"https://pith.science/pith/OBWPG6NNNKSEPCXNFCE3V5MYGK/action/author_attestation","sign_citation":"https://pith.science/pith/OBWPG6NNNKSEPCXNFCE3V5MYGK/action/citation_signature","submit_replication":"https://pith.science/pith/OBWPG6NNNKSEPCXNFCE3V5MYGK/action/replication_record"}},"created_at":"2026-05-18T00:06:49.224913+00:00","updated_at":"2026-05-18T00:06:49.224913+00:00"}