{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2012:O2S4UFRO27DHDTHXIMP44KHULB","short_pith_number":"pith:O2S4UFRO","schema_version":"1.0","canonical_sha256":"76a5ca162ed7c671ccf7431fce28f458480a1642647a0b4a3359d66f363b3291","source":{"kind":"arxiv","id":"1211.2951","version":1},"attestation_state":"computed","paper":{"title":"Entropic magmas, their homology, and related invariants of links and graphs","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.GT","authors_text":"J\\'ozef H. Przytycki (GWU, Maciej Niebrzydowski (ULL), UG)","submitted_at":"2012-11-13T11:06:40Z","abstract_excerpt":"We define link and graph invariants from entropic magmas modeling them on the Kauffman bracket and Tutte polynomial. We define the homology of entropic magmas. We also consider groups that can be assigned to the families of compatible entropic magmas."},"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":"1211.2951","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GT","submitted_at":"2012-11-13T11:06:40Z","cross_cats_sorted":[],"title_canon_sha256":"c3eaa31ccf44d2325db123ad2cdf9d184ee2354874efb6cc04190f1e046c2650","abstract_canon_sha256":"8a4b09a33e9da3e4359eb19d1298423a88d764f68194b4c914938db32692af49"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:41:42.783261Z","signature_b64":"2+2qsClkdjVsfD84DdtT22O55ku5G7p5qOTcAwmI0b8+o/eyYOGmbwuksYfQaGM/PxN4h3dedD0pSEqZ6vjYDg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"76a5ca162ed7c671ccf7431fce28f458480a1642647a0b4a3359d66f363b3291","last_reissued_at":"2026-05-18T02:41:42.782615Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:41:42.782615Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Entropic magmas, their homology, and related invariants of links and graphs","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.GT","authors_text":"J\\'ozef H. Przytycki (GWU, Maciej Niebrzydowski (ULL), UG)","submitted_at":"2012-11-13T11:06:40Z","abstract_excerpt":"We define link and graph invariants from entropic magmas modeling them on the Kauffman bracket and Tutte polynomial. We define the homology of entropic magmas. We also consider groups that can be assigned to the families of compatible entropic magmas."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1211.2951","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":"1211.2951","created_at":"2026-05-18T02:41:42.782735+00:00"},{"alias_kind":"arxiv_version","alias_value":"1211.2951v1","created_at":"2026-05-18T02:41:42.782735+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1211.2951","created_at":"2026-05-18T02:41:42.782735+00:00"},{"alias_kind":"pith_short_12","alias_value":"O2S4UFRO27DH","created_at":"2026-05-18T12:27:16.716162+00:00"},{"alias_kind":"pith_short_16","alias_value":"O2S4UFRO27DHDTHX","created_at":"2026-05-18T12:27:16.716162+00:00"},{"alias_kind":"pith_short_8","alias_value":"O2S4UFRO","created_at":"2026-05-18T12:27:16.716162+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/O2S4UFRO27DHDTHXIMP44KHULB","json":"https://pith.science/pith/O2S4UFRO27DHDTHXIMP44KHULB.json","graph_json":"https://pith.science/api/pith-number/O2S4UFRO27DHDTHXIMP44KHULB/graph.json","events_json":"https://pith.science/api/pith-number/O2S4UFRO27DHDTHXIMP44KHULB/events.json","paper":"https://pith.science/paper/O2S4UFRO"},"agent_actions":{"view_html":"https://pith.science/pith/O2S4UFRO27DHDTHXIMP44KHULB","download_json":"https://pith.science/pith/O2S4UFRO27DHDTHXIMP44KHULB.json","view_paper":"https://pith.science/paper/O2S4UFRO","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1211.2951&json=true","fetch_graph":"https://pith.science/api/pith-number/O2S4UFRO27DHDTHXIMP44KHULB/graph.json","fetch_events":"https://pith.science/api/pith-number/O2S4UFRO27DHDTHXIMP44KHULB/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/O2S4UFRO27DHDTHXIMP44KHULB/action/timestamp_anchor","attest_storage":"https://pith.science/pith/O2S4UFRO27DHDTHXIMP44KHULB/action/storage_attestation","attest_author":"https://pith.science/pith/O2S4UFRO27DHDTHXIMP44KHULB/action/author_attestation","sign_citation":"https://pith.science/pith/O2S4UFRO27DHDTHXIMP44KHULB/action/citation_signature","submit_replication":"https://pith.science/pith/O2S4UFRO27DHDTHXIMP44KHULB/action/replication_record"}},"created_at":"2026-05-18T02:41:42.782735+00:00","updated_at":"2026-05-18T02:41:42.782735+00:00"}