{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2019:N6TNXT5PXHUTIYFMCFFRLFQYDR","short_pith_number":"pith:N6TNXT5P","schema_version":"1.0","canonical_sha256":"6fa6dbcfafb9e93460ac114b1596181c508b70ef7d86eb12ba64d121fca4cb88","source":{"kind":"arxiv","id":"1904.09207","version":1},"attestation_state":"computed","paper":{"title":"Quandle Cocycle Quivers","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.GT","authors_text":"Karina Cho, Sam Nelson","submitted_at":"2019-04-19T14:27:43Z","abstract_excerpt":"We incorporate quandle cocycle information into the quandle coloring quivers we defined in arXiv:1807.10465 to define weighted directed graph-valued invariants of oriented links we call \\textit{quandle cocycle quivers}. This construction turns the quandle cocycle invariant into a small category, yielding a categorification of the quandle cocycleinvariant. From these graphs we define several new link invariants including a 2-variable polynomial which specializes to the usual quandle cocycle invariant. Examples and computations are provided."},"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":"1904.09207","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GT","submitted_at":"2019-04-19T14:27:43Z","cross_cats_sorted":[],"title_canon_sha256":"2c38868ee58c08df137dcde369e49a45e7c9aba9558d0e24b34643d3304d8a3d","abstract_canon_sha256":"46803745217cfd03e90432ea21ee0f80a91cd06fa45521915cff06da53028bf6"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:48:08.033774Z","signature_b64":"iGfPKTyUjTPMZ3275X4tRBWQADLfhtsh6/DnhNF4DNgD/XB1xTWbhsUotPM1QKxd/8v9wmh5w7rZw2QXEsWNCg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"6fa6dbcfafb9e93460ac114b1596181c508b70ef7d86eb12ba64d121fca4cb88","last_reissued_at":"2026-05-17T23:48:08.033198Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:48:08.033198Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Quandle Cocycle Quivers","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.GT","authors_text":"Karina Cho, Sam Nelson","submitted_at":"2019-04-19T14:27:43Z","abstract_excerpt":"We incorporate quandle cocycle information into the quandle coloring quivers we defined in arXiv:1807.10465 to define weighted directed graph-valued invariants of oriented links we call \\textit{quandle cocycle quivers}. This construction turns the quandle cocycle invariant into a small category, yielding a categorification of the quandle cocycleinvariant. From these graphs we define several new link invariants including a 2-variable polynomial which specializes to the usual quandle cocycle invariant. Examples and computations are provided."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1904.09207","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":"1904.09207","created_at":"2026-05-17T23:48:08.033287+00:00"},{"alias_kind":"arxiv_version","alias_value":"1904.09207v1","created_at":"2026-05-17T23:48:08.033287+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1904.09207","created_at":"2026-05-17T23:48:08.033287+00:00"},{"alias_kind":"pith_short_12","alias_value":"N6TNXT5PXHUT","created_at":"2026-05-18T12:33:24.271573+00:00"},{"alias_kind":"pith_short_16","alias_value":"N6TNXT5PXHUTIYFM","created_at":"2026-05-18T12:33:24.271573+00:00"},{"alias_kind":"pith_short_8","alias_value":"N6TNXT5P","created_at":"2026-05-18T12:33:24.271573+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/N6TNXT5PXHUTIYFMCFFRLFQYDR","json":"https://pith.science/pith/N6TNXT5PXHUTIYFMCFFRLFQYDR.json","graph_json":"https://pith.science/api/pith-number/N6TNXT5PXHUTIYFMCFFRLFQYDR/graph.json","events_json":"https://pith.science/api/pith-number/N6TNXT5PXHUTIYFMCFFRLFQYDR/events.json","paper":"https://pith.science/paper/N6TNXT5P"},"agent_actions":{"view_html":"https://pith.science/pith/N6TNXT5PXHUTIYFMCFFRLFQYDR","download_json":"https://pith.science/pith/N6TNXT5PXHUTIYFMCFFRLFQYDR.json","view_paper":"https://pith.science/paper/N6TNXT5P","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1904.09207&json=true","fetch_graph":"https://pith.science/api/pith-number/N6TNXT5PXHUTIYFMCFFRLFQYDR/graph.json","fetch_events":"https://pith.science/api/pith-number/N6TNXT5PXHUTIYFMCFFRLFQYDR/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/N6TNXT5PXHUTIYFMCFFRLFQYDR/action/timestamp_anchor","attest_storage":"https://pith.science/pith/N6TNXT5PXHUTIYFMCFFRLFQYDR/action/storage_attestation","attest_author":"https://pith.science/pith/N6TNXT5PXHUTIYFMCFFRLFQYDR/action/author_attestation","sign_citation":"https://pith.science/pith/N6TNXT5PXHUTIYFMCFFRLFQYDR/action/citation_signature","submit_replication":"https://pith.science/pith/N6TNXT5PXHUTIYFMCFFRLFQYDR/action/replication_record"}},"created_at":"2026-05-17T23:48:08.033287+00:00","updated_at":"2026-05-17T23:48:08.033287+00:00"}