{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2012:2FJGPZKMOMQKNP3NEIRZCLY4N3","short_pith_number":"pith:2FJGPZKM","schema_version":"1.0","canonical_sha256":"d15267e54c7320a6bf6d2223912f1c6eea15a7d211c12eb2a90e62175e86dbc6","source":{"kind":"arxiv","id":"1210.4302","version":3},"attestation_state":"computed","paper":{"title":"Presheaves of symmetric tensor categories and nets of C*-algebras","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.CT","math.MP","math.OA"],"primary_cat":"math.AT","authors_text":"Ezio Vasselli","submitted_at":"2012-10-16T08:33:22Z","abstract_excerpt":"Motivated by algebraic quantum field theory, we study presheaves of symmetric tensor categories defined over the base of a space, intended as a spacetime. Any section of a presheaf (that is, any \"superselection sector\", in the applications that we have in mind) defines a holonomy representation whose triviality is measured by Cheeger-Chern-Simons characteristic classes, and a non-abelian unitary cocycle defining a Lie group gerbe. We show that, given an embedding in a presheaf of full subcategories of the one of Hilbert spaces, the section category of a presheaf is a Tannaka-type dual of a loc"},"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":"1210.4302","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AT","submitted_at":"2012-10-16T08:33:22Z","cross_cats_sorted":["math-ph","math.CT","math.MP","math.OA"],"title_canon_sha256":"2211de84bf486c8d90cf6a7bf2a97229a0c9b8ffb3c94a68a0f3cf18dec31a25","abstract_canon_sha256":"4047cab87f0be51a28bc160e5a4bb41f8ca4efd825ac7af4a5d7876f3b59b938"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:18:52.119546Z","signature_b64":"Ru/vz/hNwxKoaC4OUkuY0agrS7wdfGzJHnO5Kb6GWVbFJSb6iROGcGWQo4qQ3Abto29mFlAT0DTM086Vh6UaCA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"d15267e54c7320a6bf6d2223912f1c6eea15a7d211c12eb2a90e62175e86dbc6","last_reissued_at":"2026-05-18T02:18:52.118864Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:18:52.118864Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Presheaves of symmetric tensor categories and nets of C*-algebras","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.CT","math.MP","math.OA"],"primary_cat":"math.AT","authors_text":"Ezio Vasselli","submitted_at":"2012-10-16T08:33:22Z","abstract_excerpt":"Motivated by algebraic quantum field theory, we study presheaves of symmetric tensor categories defined over the base of a space, intended as a spacetime. Any section of a presheaf (that is, any \"superselection sector\", in the applications that we have in mind) defines a holonomy representation whose triviality is measured by Cheeger-Chern-Simons characteristic classes, and a non-abelian unitary cocycle defining a Lie group gerbe. We show that, given an embedding in a presheaf of full subcategories of the one of Hilbert spaces, the section category of a presheaf is a Tannaka-type dual of a loc"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1210.4302","kind":"arxiv","version":3},"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":"1210.4302","created_at":"2026-05-18T02:18:52.118963+00:00"},{"alias_kind":"arxiv_version","alias_value":"1210.4302v3","created_at":"2026-05-18T02:18:52.118963+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1210.4302","created_at":"2026-05-18T02:18:52.118963+00:00"},{"alias_kind":"pith_short_12","alias_value":"2FJGPZKMOMQK","created_at":"2026-05-18T12:26:50.516681+00:00"},{"alias_kind":"pith_short_16","alias_value":"2FJGPZKMOMQKNP3N","created_at":"2026-05-18T12:26:50.516681+00:00"},{"alias_kind":"pith_short_8","alias_value":"2FJGPZKM","created_at":"2026-05-18T12:26:50.516681+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/2FJGPZKMOMQKNP3NEIRZCLY4N3","json":"https://pith.science/pith/2FJGPZKMOMQKNP3NEIRZCLY4N3.json","graph_json":"https://pith.science/api/pith-number/2FJGPZKMOMQKNP3NEIRZCLY4N3/graph.json","events_json":"https://pith.science/api/pith-number/2FJGPZKMOMQKNP3NEIRZCLY4N3/events.json","paper":"https://pith.science/paper/2FJGPZKM"},"agent_actions":{"view_html":"https://pith.science/pith/2FJGPZKMOMQKNP3NEIRZCLY4N3","download_json":"https://pith.science/pith/2FJGPZKMOMQKNP3NEIRZCLY4N3.json","view_paper":"https://pith.science/paper/2FJGPZKM","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1210.4302&json=true","fetch_graph":"https://pith.science/api/pith-number/2FJGPZKMOMQKNP3NEIRZCLY4N3/graph.json","fetch_events":"https://pith.science/api/pith-number/2FJGPZKMOMQKNP3NEIRZCLY4N3/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/2FJGPZKMOMQKNP3NEIRZCLY4N3/action/timestamp_anchor","attest_storage":"https://pith.science/pith/2FJGPZKMOMQKNP3NEIRZCLY4N3/action/storage_attestation","attest_author":"https://pith.science/pith/2FJGPZKMOMQKNP3NEIRZCLY4N3/action/author_attestation","sign_citation":"https://pith.science/pith/2FJGPZKMOMQKNP3NEIRZCLY4N3/action/citation_signature","submit_replication":"https://pith.science/pith/2FJGPZKMOMQKNP3NEIRZCLY4N3/action/replication_record"}},"created_at":"2026-05-18T02:18:52.118963+00:00","updated_at":"2026-05-18T02:18:52.118963+00:00"}