{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2015:BVZKUUF7UGHXSVXP3D7SSMTB2A","short_pith_number":"pith:BVZKUUF7","schema_version":"1.0","canonical_sha256":"0d72aa50bfa18f7956efd8ff293261d0284128c4e1f5b7032278b788706d661e","source":{"kind":"arxiv","id":"1507.02232","version":1},"attestation_state":"computed","paper":{"title":"Link and knot invariants from non-abelian Yang-Baxter 2-cocycles","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.GT","authors_text":"Juliana Garc\\'ia Galofre, Marco A. Farinati","submitted_at":"2015-07-08T17:32:03Z","abstract_excerpt":"We define a knot/link invariant using set theoretical solutions $(X,\\sigma)$ of the Yang-Baxter equation and non commutative 2-cocycles. We also define, for a given $(X,\\sigma)$, a universal group Unc(X) governing all 2-cocycles in $X$, and we exhibit examples of computations."},"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":"1507.02232","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GT","submitted_at":"2015-07-08T17:32:03Z","cross_cats_sorted":[],"title_canon_sha256":"4b66eae8dced7b5d6b7d01818d309c62e7929af7b522050336d46207135f0138","abstract_canon_sha256":"021d458a010d9512fc6599fa88caeee92885a0ca1c17989182b854e9f96beeb6"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:37:08.331535Z","signature_b64":"dUZVftbVv5xyIm2fhwDs3q1XOVcgnNaW7WUQweSH6B2AC+/Uahmxxb4JfuTb9AZK9+w0vlPUZ9+6oAylqCl7CA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"0d72aa50bfa18f7956efd8ff293261d0284128c4e1f5b7032278b788706d661e","last_reissued_at":"2026-05-18T01:37:08.330875Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:37:08.330875Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Link and knot invariants from non-abelian Yang-Baxter 2-cocycles","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.GT","authors_text":"Juliana Garc\\'ia Galofre, Marco A. Farinati","submitted_at":"2015-07-08T17:32:03Z","abstract_excerpt":"We define a knot/link invariant using set theoretical solutions $(X,\\sigma)$ of the Yang-Baxter equation and non commutative 2-cocycles. We also define, for a given $(X,\\sigma)$, a universal group Unc(X) governing all 2-cocycles in $X$, and we exhibit examples of computations."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1507.02232","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":"1507.02232","created_at":"2026-05-18T01:37:08.330977+00:00"},{"alias_kind":"arxiv_version","alias_value":"1507.02232v1","created_at":"2026-05-18T01:37:08.330977+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1507.02232","created_at":"2026-05-18T01:37:08.330977+00:00"},{"alias_kind":"pith_short_12","alias_value":"BVZKUUF7UGHX","created_at":"2026-05-18T12:29:14.074870+00:00"},{"alias_kind":"pith_short_16","alias_value":"BVZKUUF7UGHXSVXP","created_at":"2026-05-18T12:29:14.074870+00:00"},{"alias_kind":"pith_short_8","alias_value":"BVZKUUF7","created_at":"2026-05-18T12:29:14.074870+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/BVZKUUF7UGHXSVXP3D7SSMTB2A","json":"https://pith.science/pith/BVZKUUF7UGHXSVXP3D7SSMTB2A.json","graph_json":"https://pith.science/api/pith-number/BVZKUUF7UGHXSVXP3D7SSMTB2A/graph.json","events_json":"https://pith.science/api/pith-number/BVZKUUF7UGHXSVXP3D7SSMTB2A/events.json","paper":"https://pith.science/paper/BVZKUUF7"},"agent_actions":{"view_html":"https://pith.science/pith/BVZKUUF7UGHXSVXP3D7SSMTB2A","download_json":"https://pith.science/pith/BVZKUUF7UGHXSVXP3D7SSMTB2A.json","view_paper":"https://pith.science/paper/BVZKUUF7","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1507.02232&json=true","fetch_graph":"https://pith.science/api/pith-number/BVZKUUF7UGHXSVXP3D7SSMTB2A/graph.json","fetch_events":"https://pith.science/api/pith-number/BVZKUUF7UGHXSVXP3D7SSMTB2A/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/BVZKUUF7UGHXSVXP3D7SSMTB2A/action/timestamp_anchor","attest_storage":"https://pith.science/pith/BVZKUUF7UGHXSVXP3D7SSMTB2A/action/storage_attestation","attest_author":"https://pith.science/pith/BVZKUUF7UGHXSVXP3D7SSMTB2A/action/author_attestation","sign_citation":"https://pith.science/pith/BVZKUUF7UGHXSVXP3D7SSMTB2A/action/citation_signature","submit_replication":"https://pith.science/pith/BVZKUUF7UGHXSVXP3D7SSMTB2A/action/replication_record"}},"created_at":"2026-05-18T01:37:08.330977+00:00","updated_at":"2026-05-18T01:37:08.330977+00:00"}