{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2025:DBYA7DIW6VA6PY5JW6J6DI5K6N","short_pith_number":"pith:DBYA7DIW","schema_version":"1.0","canonical_sha256":"18700f8d16f541e7e3a9b793e1a3aaf344cd74091bbc15917be17825e77cc07c","source":{"kind":"arxiv","id":"2509.16626","version":2},"attestation_state":"computed","paper":{"title":"Invertible projective 2-representations from invertible 2d TQFTs with defects","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.MP","math.QA","math.RT"],"primary_cat":"math.CT","authors_text":"Chetan Vuppulury, Domenico Fiorenza","submitted_at":"2025-09-20T11:05:15Z","abstract_excerpt":"We investigate invertible projective representations and their 2-categorical analogues using the language of TQFTs with defects. The main result is a freeness property for invertible projective representatios. While trivial in the 1-categorical setting, this result becomes interesting for 2-representations: as an application, only relying only on invertibility of Clifford algebras and Fock bimodules in the Morita 2-category of super vector spaces we recover Ludewig--Roos' result that the Clifford/Fock construction is a projective 2-representation of the category of Lagrangian correspondences."},"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":"2509.16626","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CT","submitted_at":"2025-09-20T11:05:15Z","cross_cats_sorted":["math-ph","math.MP","math.QA","math.RT"],"title_canon_sha256":"c701f740a7dc9a1754e8a727e98788d4be0b7ba1042eeb9ada5c3c5082537f3b","abstract_canon_sha256":"d16f7d9669d5f212fee738cca3f690aeb992eb7b294ad3db99b15536966767e4"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-08T01:19:06.671150Z","signature_b64":"/fg8SRmB+6z33ktlt3S4pY/Lf4byM0iWfGDkgWk1quESNMOT1aF/bg/E6nDHiJZL8lwec+msv8gIcPIj4TZYBw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"18700f8d16f541e7e3a9b793e1a3aaf344cd74091bbc15917be17825e77cc07c","last_reissued_at":"2026-07-08T01:19:06.670672Z","signature_status":"signed_v1","first_computed_at":"2026-07-08T01:19:06.670672Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Invertible projective 2-representations from invertible 2d TQFTs with defects","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.MP","math.QA","math.RT"],"primary_cat":"math.CT","authors_text":"Chetan Vuppulury, Domenico Fiorenza","submitted_at":"2025-09-20T11:05:15Z","abstract_excerpt":"We investigate invertible projective representations and their 2-categorical analogues using the language of TQFTs with defects. The main result is a freeness property for invertible projective representatios. While trivial in the 1-categorical setting, this result becomes interesting for 2-representations: as an application, only relying only on invertibility of Clifford algebras and Fock bimodules in the Morita 2-category of super vector spaces we recover Ludewig--Roos' result that the Clifford/Fock construction is a projective 2-representation of the category of Lagrangian correspondences."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2509.16626","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2509.16626/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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":"2509.16626","created_at":"2026-07-08T01:19:06.670729+00:00"},{"alias_kind":"arxiv_version","alias_value":"2509.16626v2","created_at":"2026-07-08T01:19:06.670729+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2509.16626","created_at":"2026-07-08T01:19:06.670729+00:00"},{"alias_kind":"pith_short_12","alias_value":"DBYA7DIW6VA6","created_at":"2026-07-08T01:19:06.670729+00:00"},{"alias_kind":"pith_short_16","alias_value":"DBYA7DIW6VA6PY5J","created_at":"2026-07-08T01:19:06.670729+00:00"},{"alias_kind":"pith_short_8","alias_value":"DBYA7DIW","created_at":"2026-07-08T01:19:06.670729+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/DBYA7DIW6VA6PY5JW6J6DI5K6N","json":"https://pith.science/pith/DBYA7DIW6VA6PY5JW6J6DI5K6N.json","graph_json":"https://pith.science/api/pith-number/DBYA7DIW6VA6PY5JW6J6DI5K6N/graph.json","events_json":"https://pith.science/api/pith-number/DBYA7DIW6VA6PY5JW6J6DI5K6N/events.json","paper":"https://pith.science/paper/DBYA7DIW"},"agent_actions":{"view_html":"https://pith.science/pith/DBYA7DIW6VA6PY5JW6J6DI5K6N","download_json":"https://pith.science/pith/DBYA7DIW6VA6PY5JW6J6DI5K6N.json","view_paper":"https://pith.science/paper/DBYA7DIW","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2509.16626&json=true","fetch_graph":"https://pith.science/api/pith-number/DBYA7DIW6VA6PY5JW6J6DI5K6N/graph.json","fetch_events":"https://pith.science/api/pith-number/DBYA7DIW6VA6PY5JW6J6DI5K6N/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/DBYA7DIW6VA6PY5JW6J6DI5K6N/action/timestamp_anchor","attest_storage":"https://pith.science/pith/DBYA7DIW6VA6PY5JW6J6DI5K6N/action/storage_attestation","attest_author":"https://pith.science/pith/DBYA7DIW6VA6PY5JW6J6DI5K6N/action/author_attestation","sign_citation":"https://pith.science/pith/DBYA7DIW6VA6PY5JW6J6DI5K6N/action/citation_signature","submit_replication":"https://pith.science/pith/DBYA7DIW6VA6PY5JW6J6DI5K6N/action/replication_record"}},"created_at":"2026-07-08T01:19:06.670729+00:00","updated_at":"2026-07-08T01:19:06.670729+00:00"}