{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2014:OZAWPTWNN42TUMOEJEAEQIIW6V","short_pith_number":"pith:OZAWPTWN","schema_version":"1.0","canonical_sha256":"764167cecd6f353a31c44900482116f5425f00d5fcc4d8ca199d67fb8d0e3436","source":{"kind":"arxiv","id":"1409.6331","version":2},"attestation_state":"computed","paper":{"title":"Nonassociative geometry in quasi-Hopf representation categories I: Bimodules and their internal homomorphisms","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-th","math-ph","math.MP"],"primary_cat":"math.QA","authors_text":"Alexander Schenkel, Gwendolyn E. Barnes, Richard J. Szabo","submitted_at":"2014-09-22T20:11:18Z","abstract_excerpt":"We systematically study noncommutative and nonassociative algebras A and their bimodules as algebras and bimodules internal to the representation category of a quasitriangular quasi-Hopf algebra. We enlarge the morphisms of the monoidal category of A-bimodules by internal homomorphisms, and describe explicitly their evaluation and composition morphisms. For braided commutative algebras A the full subcategory of symmetric A-bimodule objects is a braided closed monoidal category, from which we obtain an internal tensor product operation on internal homomorphisms. We describe how these structures"},"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":"1409.6331","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.QA","submitted_at":"2014-09-22T20:11:18Z","cross_cats_sorted":["hep-th","math-ph","math.MP"],"title_canon_sha256":"2001aecdf50d39ec0888718e718bfffac272c7bb2287c2aaca185b5014e0d61f","abstract_canon_sha256":"6962a977cf208a8becfcf2e9794fd923a0a0f1b386aee6e9530f57cec3a63e1a"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:27:50.958300Z","signature_b64":"ESOL/qvY5XbStS6ma493/1hHFP13q/eWZHYhoNt9DnOjj/30S2Vuzp4J5MHek/vAs1UWZWYf0UUdBYZApV37Cg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"764167cecd6f353a31c44900482116f5425f00d5fcc4d8ca199d67fb8d0e3436","last_reissued_at":"2026-05-18T02:27:50.957874Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:27:50.957874Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Nonassociative geometry in quasi-Hopf representation categories I: Bimodules and their internal homomorphisms","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-th","math-ph","math.MP"],"primary_cat":"math.QA","authors_text":"Alexander Schenkel, Gwendolyn E. Barnes, Richard J. Szabo","submitted_at":"2014-09-22T20:11:18Z","abstract_excerpt":"We systematically study noncommutative and nonassociative algebras A and their bimodules as algebras and bimodules internal to the representation category of a quasitriangular quasi-Hopf algebra. We enlarge the morphisms of the monoidal category of A-bimodules by internal homomorphisms, and describe explicitly their evaluation and composition morphisms. For braided commutative algebras A the full subcategory of symmetric A-bimodule objects is a braided closed monoidal category, from which we obtain an internal tensor product operation on internal homomorphisms. We describe how these structures"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1409.6331","kind":"arxiv","version":2},"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":"1409.6331","created_at":"2026-05-18T02:27:50.957931+00:00"},{"alias_kind":"arxiv_version","alias_value":"1409.6331v2","created_at":"2026-05-18T02:27:50.957931+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1409.6331","created_at":"2026-05-18T02:27:50.957931+00:00"},{"alias_kind":"pith_short_12","alias_value":"OZAWPTWNN42T","created_at":"2026-05-18T12:28:43.426989+00:00"},{"alias_kind":"pith_short_16","alias_value":"OZAWPTWNN42TUMOE","created_at":"2026-05-18T12:28:43.426989+00:00"},{"alias_kind":"pith_short_8","alias_value":"OZAWPTWN","created_at":"2026-05-18T12:28:43.426989+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/OZAWPTWNN42TUMOEJEAEQIIW6V","json":"https://pith.science/pith/OZAWPTWNN42TUMOEJEAEQIIW6V.json","graph_json":"https://pith.science/api/pith-number/OZAWPTWNN42TUMOEJEAEQIIW6V/graph.json","events_json":"https://pith.science/api/pith-number/OZAWPTWNN42TUMOEJEAEQIIW6V/events.json","paper":"https://pith.science/paper/OZAWPTWN"},"agent_actions":{"view_html":"https://pith.science/pith/OZAWPTWNN42TUMOEJEAEQIIW6V","download_json":"https://pith.science/pith/OZAWPTWNN42TUMOEJEAEQIIW6V.json","view_paper":"https://pith.science/paper/OZAWPTWN","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1409.6331&json=true","fetch_graph":"https://pith.science/api/pith-number/OZAWPTWNN42TUMOEJEAEQIIW6V/graph.json","fetch_events":"https://pith.science/api/pith-number/OZAWPTWNN42TUMOEJEAEQIIW6V/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/OZAWPTWNN42TUMOEJEAEQIIW6V/action/timestamp_anchor","attest_storage":"https://pith.science/pith/OZAWPTWNN42TUMOEJEAEQIIW6V/action/storage_attestation","attest_author":"https://pith.science/pith/OZAWPTWNN42TUMOEJEAEQIIW6V/action/author_attestation","sign_citation":"https://pith.science/pith/OZAWPTWNN42TUMOEJEAEQIIW6V/action/citation_signature","submit_replication":"https://pith.science/pith/OZAWPTWNN42TUMOEJEAEQIIW6V/action/replication_record"}},"created_at":"2026-05-18T02:27:50.957931+00:00","updated_at":"2026-05-18T02:27:50.957931+00:00"}