{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2025:DHMFIAHSM263D2WJMK53THFO63","merge_version":"pith-open-graph-merge-v1","event_count":2,"valid_event_count":2,"invalid_event_count":0,"equivocation_count":0,"current":{"canonical_record":{"metadata":{"abstract_canon_sha256":"07319f372a90d31abbacec59382a1ba0b2c67e26943bc90aa777b846455f720f","cross_cats_sorted":["hep-th","math.CT","math.OA"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.QA","submitted_at":"2025-03-18T18:01:02Z","title_canon_sha256":"022a1b1f87d92034fe8185da4a6441c1704c6a1fe1f8f48d6de4689ab5776a95"},"schema_version":"1.0","source":{"id":"2503.14596","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2503.14596","created_at":"2026-07-05T10:34:20Z"},{"alias_kind":"arxiv_version","alias_value":"2503.14596v1","created_at":"2026-07-05T10:34:20Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2503.14596","created_at":"2026-07-05T10:34:20Z"},{"alias_kind":"pith_short_12","alias_value":"DHMFIAHSM263","created_at":"2026-07-05T10:34:20Z"},{"alias_kind":"pith_short_16","alias_value":"DHMFIAHSM263D2WJ","created_at":"2026-07-05T10:34:20Z"},{"alias_kind":"pith_short_8","alias_value":"DHMFIAHS","created_at":"2026-07-05T10:34:20Z"}],"graph_snapshots":[{"event_id":"sha256:6381ce119be19fdef0e34be1ca2736059940bf806d346996bcc2d00d02484f78","target":"graph","created_at":"2026-07-05T10:34:20Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"graph_snapshot":{"author_claims":{"count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","strong_count":0},"builder_version":"pith-number-builder-2026-05-17-v1","claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2503.14596/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We present a new model for continuous tensor categories as algebra objects in the Morita bicategory of $\\mathrm{C}^*$-algebras. In this setting, we generalize the construction of Tambara-Yamagami tensor categories from finite abelian groups to locally compact abelian groups, and provide a classification of continuous Tambara-Yamagami tensor categories for a locally compact group $G$. A continuous Tambara-Yamagami tensor category associated to a locally compact group $G$ is a continuous tensor category that has a single non-invertible simple object $\\tau$ such that $\\tau\\otimes \\tau$ decomposes","authors_text":"Adri\\`a Mar\\'in-Salvador","cross_cats":["hep-th","math.CT","math.OA"],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.QA","submitted_at":"2025-03-18T18:01:02Z","title":"Continuous Tambara-Yamagami tensor categories"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2503.14596","kind":"arxiv","version":1},"verdict":{"created_at":null,"id":null,"model_set":{},"one_line_summary":"","pipeline_version":null,"pith_extraction_headline":"","strongest_claim":"","weakest_assumption":""}},"verdict_id":null}}],"author_attestations":[],"timestamp_anchors":[],"storage_attestations":[],"citation_signatures":[],"replication_records":[],"corrections":[],"mirror_hints":[],"record_created":{"event_id":"sha256:11718f6f938dbf8cead8367969034f7dfe439fa7e3596a65c07f5fe261ce9713","target":"record","created_at":"2026-07-05T10:34:20Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"attestation_state":"computed","canonical_record":{"metadata":{"abstract_canon_sha256":"07319f372a90d31abbacec59382a1ba0b2c67e26943bc90aa777b846455f720f","cross_cats_sorted":["hep-th","math.CT","math.OA"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.QA","submitted_at":"2025-03-18T18:01:02Z","title_canon_sha256":"022a1b1f87d92034fe8185da4a6441c1704c6a1fe1f8f48d6de4689ab5776a95"},"schema_version":"1.0","source":{"id":"2503.14596","kind":"arxiv","version":1}},"canonical_sha256":"19d85400f266bdb1eac962bbb99caef6ea4ecac41211bb87e665891db355f0c3","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"19d85400f266bdb1eac962bbb99caef6ea4ecac41211bb87e665891db355f0c3","first_computed_at":"2026-07-05T10:34:20.907941Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T10:34:20.907941Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"9dIRlSbAfcMgH+SmREgMTgwsG3hpNqS+ypZmEJZ4hUeIgd2jUM2oumCbLrhLZRzUqiBlkTOHSTdXsGh/UUJmBg==","signature_status":"signed_v1","signed_at":"2026-07-05T10:34:20.908476Z","signed_message":"canonical_sha256_bytes"},"source_id":"2503.14596","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:11718f6f938dbf8cead8367969034f7dfe439fa7e3596a65c07f5fe261ce9713","sha256:6381ce119be19fdef0e34be1ca2736059940bf806d346996bcc2d00d02484f78"],"state_sha256":"3717d404a5fb690511988502a3436bcd13c361a49bb7af39bb13d834a135c022"}