{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2007:Z7NF5FQVNLV7BSASIDAMG72ATH","short_pith_number":"pith:Z7NF5FQV","schema_version":"1.0","canonical_sha256":"cfda5e96156aebf0c81240c0c37f4099e378a689c843523560d2ca57fdc2d853","source":{"kind":"arxiv","id":"0705.2933","version":5},"attestation_state":"computed","paper":{"title":"Gauge-equivariant Hilbert bimodules and crossed products by endomorphisms","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.KT","math.MP"],"primary_cat":"math.OA","authors_text":"Ezio Vasselli","submitted_at":"2007-05-21T08:20:23Z","abstract_excerpt":"C*-endomorphisms arising from superselection structures with non-trivial centre define a 'rank' and a 'first Chern class'. Crossed products by such endomorphisms involve the Cuntz-Pimsner algebra of a vector bundle having the above-mentioned rank and first Chern class, and can be used to construct a duality for abstract (nonsymmetric) tensor categories vs. group bundles acting on (nonsymmetric) Hilbert bimodules. Existence and unicity of the dual object (i.e., the 'gauge' group bundle) are not ensured: we give a description of this phenomenon in terms of a certain moduli space associated with "},"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":"0705.2933","kind":"arxiv","version":5},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OA","submitted_at":"2007-05-21T08:20:23Z","cross_cats_sorted":["math-ph","math.KT","math.MP"],"title_canon_sha256":"0006a9cc10a0c662f1c5d8b68d12f64d455cd2ee1bb7eebe31647d4824b8f14d","abstract_canon_sha256":"d1659953cd1967673826e9f9212a7d369539bbe1a73c1afe8e81b57a8c2d41fd"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:08:12.820064Z","signature_b64":"TMfVnxWsd+iSSsCuOsfLUqAbRoAMFGMSDzmPccnqVKYZQzVzWlaXhBXUNxGz7BgmP5lIXnsH1tjMZ6QMibiGBg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"cfda5e96156aebf0c81240c0c37f4099e378a689c843523560d2ca57fdc2d853","last_reissued_at":"2026-05-18T04:08:12.819652Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:08:12.819652Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Gauge-equivariant Hilbert bimodules and crossed products by endomorphisms","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.KT","math.MP"],"primary_cat":"math.OA","authors_text":"Ezio Vasselli","submitted_at":"2007-05-21T08:20:23Z","abstract_excerpt":"C*-endomorphisms arising from superselection structures with non-trivial centre define a 'rank' and a 'first Chern class'. Crossed products by such endomorphisms involve the Cuntz-Pimsner algebra of a vector bundle having the above-mentioned rank and first Chern class, and can be used to construct a duality for abstract (nonsymmetric) tensor categories vs. group bundles acting on (nonsymmetric) Hilbert bimodules. Existence and unicity of the dual object (i.e., the 'gauge' group bundle) are not ensured: we give a description of this phenomenon in terms of a certain moduli space associated with "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0705.2933","kind":"arxiv","version":5},"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":"0705.2933","created_at":"2026-05-18T04:08:12.819724+00:00"},{"alias_kind":"arxiv_version","alias_value":"0705.2933v5","created_at":"2026-05-18T04:08:12.819724+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0705.2933","created_at":"2026-05-18T04:08:12.819724+00:00"},{"alias_kind":"pith_short_12","alias_value":"Z7NF5FQVNLV7","created_at":"2026-05-18T12:25:56.245647+00:00"},{"alias_kind":"pith_short_16","alias_value":"Z7NF5FQVNLV7BSAS","created_at":"2026-05-18T12:25:56.245647+00:00"},{"alias_kind":"pith_short_8","alias_value":"Z7NF5FQV","created_at":"2026-05-18T12:25:56.245647+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/Z7NF5FQVNLV7BSASIDAMG72ATH","json":"https://pith.science/pith/Z7NF5FQVNLV7BSASIDAMG72ATH.json","graph_json":"https://pith.science/api/pith-number/Z7NF5FQVNLV7BSASIDAMG72ATH/graph.json","events_json":"https://pith.science/api/pith-number/Z7NF5FQVNLV7BSASIDAMG72ATH/events.json","paper":"https://pith.science/paper/Z7NF5FQV"},"agent_actions":{"view_html":"https://pith.science/pith/Z7NF5FQVNLV7BSASIDAMG72ATH","download_json":"https://pith.science/pith/Z7NF5FQVNLV7BSASIDAMG72ATH.json","view_paper":"https://pith.science/paper/Z7NF5FQV","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=0705.2933&json=true","fetch_graph":"https://pith.science/api/pith-number/Z7NF5FQVNLV7BSASIDAMG72ATH/graph.json","fetch_events":"https://pith.science/api/pith-number/Z7NF5FQVNLV7BSASIDAMG72ATH/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/Z7NF5FQVNLV7BSASIDAMG72ATH/action/timestamp_anchor","attest_storage":"https://pith.science/pith/Z7NF5FQVNLV7BSASIDAMG72ATH/action/storage_attestation","attest_author":"https://pith.science/pith/Z7NF5FQVNLV7BSASIDAMG72ATH/action/author_attestation","sign_citation":"https://pith.science/pith/Z7NF5FQVNLV7BSASIDAMG72ATH/action/citation_signature","submit_replication":"https://pith.science/pith/Z7NF5FQVNLV7BSASIDAMG72ATH/action/replication_record"}},"created_at":"2026-05-18T04:08:12.819724+00:00","updated_at":"2026-05-18T04:08:12.819724+00:00"}