{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2012:JAVIYK5GHUDKZH4TK4NFXNWPXF","short_pith_number":"pith:JAVIYK5G","schema_version":"1.0","canonical_sha256":"482a8c2ba63d06ac9f93571a5bb6cfb978b8cc938444faa3fbe7438c596fb3cb","source":{"kind":"arxiv","id":"1202.6380","version":1},"attestation_state":"computed","paper":{"title":"Some graphical aspects of Frobenius structures","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.RA","authors_text":"Bertfried Fauser","submitted_at":"2012-02-28T21:16:57Z","abstract_excerpt":"We survey some aspects of Frobenius algebras, Frobenius structures and their relation to finite Hopf algebras using graphical calculus. We focus on the `yanking' moves coming from a closed structure in a rigid monoidal category, the topological move, and the `yanking' coming from the Frobenius bilinear form and its inverse, used e.g. in quantum teleportation. We discus how to interpret the associated information flow. Some care is taken to cover non-symmetric Frobenius algebras and the Nakayama automorphism. We review graphically the Larson-Sweedler-Pareigis theorem showing how integrals of fi"},"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":"1202.6380","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RA","submitted_at":"2012-02-28T21:16:57Z","cross_cats_sorted":[],"title_canon_sha256":"4ffcca3d400b63a8586c3b85e15440f4204ac28c66746505ed59d1afd45d12e8","abstract_canon_sha256":"d84b2b229744862c6a979daf7a1f834aa9fa09301060074a4da893003b748cd7"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:01:12.726676Z","signature_b64":"PLOAJfaQVRL3gsosgacX14FDp/s8Z9qBCpnrBSl0EkWj8BXtlOIsS8DJ2v0wrYJKuL8XtxUxmi6g0w3eCiobDg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"482a8c2ba63d06ac9f93571a5bb6cfb978b8cc938444faa3fbe7438c596fb3cb","last_reissued_at":"2026-05-18T04:01:12.726142Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:01:12.726142Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Some graphical aspects of Frobenius structures","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.RA","authors_text":"Bertfried Fauser","submitted_at":"2012-02-28T21:16:57Z","abstract_excerpt":"We survey some aspects of Frobenius algebras, Frobenius structures and their relation to finite Hopf algebras using graphical calculus. We focus on the `yanking' moves coming from a closed structure in a rigid monoidal category, the topological move, and the `yanking' coming from the Frobenius bilinear form and its inverse, used e.g. in quantum teleportation. We discus how to interpret the associated information flow. Some care is taken to cover non-symmetric Frobenius algebras and the Nakayama automorphism. We review graphically the Larson-Sweedler-Pareigis theorem showing how integrals of fi"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1202.6380","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":"1202.6380","created_at":"2026-05-18T04:01:12.726230+00:00"},{"alias_kind":"arxiv_version","alias_value":"1202.6380v1","created_at":"2026-05-18T04:01:12.726230+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1202.6380","created_at":"2026-05-18T04:01:12.726230+00:00"},{"alias_kind":"pith_short_12","alias_value":"JAVIYK5GHUDK","created_at":"2026-05-18T12:27:11.947152+00:00"},{"alias_kind":"pith_short_16","alias_value":"JAVIYK5GHUDKZH4T","created_at":"2026-05-18T12:27:11.947152+00:00"},{"alias_kind":"pith_short_8","alias_value":"JAVIYK5G","created_at":"2026-05-18T12:27:11.947152+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/JAVIYK5GHUDKZH4TK4NFXNWPXF","json":"https://pith.science/pith/JAVIYK5GHUDKZH4TK4NFXNWPXF.json","graph_json":"https://pith.science/api/pith-number/JAVIYK5GHUDKZH4TK4NFXNWPXF/graph.json","events_json":"https://pith.science/api/pith-number/JAVIYK5GHUDKZH4TK4NFXNWPXF/events.json","paper":"https://pith.science/paper/JAVIYK5G"},"agent_actions":{"view_html":"https://pith.science/pith/JAVIYK5GHUDKZH4TK4NFXNWPXF","download_json":"https://pith.science/pith/JAVIYK5GHUDKZH4TK4NFXNWPXF.json","view_paper":"https://pith.science/paper/JAVIYK5G","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1202.6380&json=true","fetch_graph":"https://pith.science/api/pith-number/JAVIYK5GHUDKZH4TK4NFXNWPXF/graph.json","fetch_events":"https://pith.science/api/pith-number/JAVIYK5GHUDKZH4TK4NFXNWPXF/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/JAVIYK5GHUDKZH4TK4NFXNWPXF/action/timestamp_anchor","attest_storage":"https://pith.science/pith/JAVIYK5GHUDKZH4TK4NFXNWPXF/action/storage_attestation","attest_author":"https://pith.science/pith/JAVIYK5GHUDKZH4TK4NFXNWPXF/action/author_attestation","sign_citation":"https://pith.science/pith/JAVIYK5GHUDKZH4TK4NFXNWPXF/action/citation_signature","submit_replication":"https://pith.science/pith/JAVIYK5GHUDKZH4TK4NFXNWPXF/action/replication_record"}},"created_at":"2026-05-18T04:01:12.726230+00:00","updated_at":"2026-05-18T04:01:12.726230+00:00"}