{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2025:P46VJB7SLDHFGWOL7FVLMXQIL6","short_pith_number":"pith:P46VJB7S","schema_version":"1.0","canonical_sha256":"7f3d5487f258ce5359cbf96ab65e085fbc340e22238612a08f1c0d88d29b5b50","source":{"kind":"arxiv","id":"2504.17764","version":1},"attestation_state":"computed","paper":{"title":"Orbifolds, higher dagger structures, and idempotents","license":"http://creativecommons.org/licenses/by-nc-sa/4.0/","headline":"","cross_cats":["hep-th","math-ph","math.CT","math.MP"],"primary_cat":"math.QA","authors_text":"Nils Carqueville, Tim L\\\"uders","submitted_at":"2025-04-24T17:30:20Z","abstract_excerpt":"The orbifold/condensation completion procedure of defect topological quantum field theories can be seen as carrying out a lattice or state sum model construction internal to an ambient theory. In this paper, we propose a conceptual algebraic description of orbifolds/condensations for arbitrary tangential structures in terms of higher dagger structures and higher idempotents. In particular, we obtain (oriented) orbifold completion from (framed) condensation completion by using a general strictification procedure for higher dagger structures which we describe explicitly in low dimensions; we als"},"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":"2504.17764","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by-nc-sa/4.0/","primary_cat":"math.QA","submitted_at":"2025-04-24T17:30:20Z","cross_cats_sorted":["hep-th","math-ph","math.CT","math.MP"],"title_canon_sha256":"ed47f7006b89339271f5764fde1c5fada303f337dc7a5144e4d83bc07aa75579","abstract_canon_sha256":"29cf9afbc18d2d12d43139be9ffef01188c5bdf54c2cd965fe6b9d305de747bb"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-22T01:03:42.509054Z","signature_b64":"YOG37cFl1EFEb7Eq9wJuEATesOCBKKQUBGosOZX17iAlDZh1MmY8+rlcmM8p549OkUKc3SowxXtGLZGjCqYhDA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"7f3d5487f258ce5359cbf96ab65e085fbc340e22238612a08f1c0d88d29b5b50","last_reissued_at":"2026-05-22T01:03:42.507932Z","signature_status":"signed_v1","first_computed_at":"2026-05-22T01:03:42.507932Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Orbifolds, higher dagger structures, and idempotents","license":"http://creativecommons.org/licenses/by-nc-sa/4.0/","headline":"","cross_cats":["hep-th","math-ph","math.CT","math.MP"],"primary_cat":"math.QA","authors_text":"Nils Carqueville, Tim L\\\"uders","submitted_at":"2025-04-24T17:30:20Z","abstract_excerpt":"The orbifold/condensation completion procedure of defect topological quantum field theories can be seen as carrying out a lattice or state sum model construction internal to an ambient theory. In this paper, we propose a conceptual algebraic description of orbifolds/condensations for arbitrary tangential structures in terms of higher dagger structures and higher idempotents. In particular, we obtain (oriented) orbifold completion from (framed) condensation completion by using a general strictification procedure for higher dagger structures which we describe explicitly in low dimensions; we als"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2504.17764","kind":"arxiv","version":1},"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/2504.17764/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":"2504.17764","created_at":"2026-05-22T01:03:42.508182+00:00"},{"alias_kind":"arxiv_version","alias_value":"2504.17764v1","created_at":"2026-05-22T01:03:42.508182+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2504.17764","created_at":"2026-05-22T01:03:42.508182+00:00"},{"alias_kind":"pith_short_12","alias_value":"P46VJB7SLDHF","created_at":"2026-05-22T01:03:42.508182+00:00"},{"alias_kind":"pith_short_16","alias_value":"P46VJB7SLDHFGWOL","created_at":"2026-05-22T01:03:42.508182+00:00"},{"alias_kind":"pith_short_8","alias_value":"P46VJB7S","created_at":"2026-05-22T01:03:42.508182+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/P46VJB7SLDHFGWOL7FVLMXQIL6","json":"https://pith.science/pith/P46VJB7SLDHFGWOL7FVLMXQIL6.json","graph_json":"https://pith.science/api/pith-number/P46VJB7SLDHFGWOL7FVLMXQIL6/graph.json","events_json":"https://pith.science/api/pith-number/P46VJB7SLDHFGWOL7FVLMXQIL6/events.json","paper":"https://pith.science/paper/P46VJB7S"},"agent_actions":{"view_html":"https://pith.science/pith/P46VJB7SLDHFGWOL7FVLMXQIL6","download_json":"https://pith.science/pith/P46VJB7SLDHFGWOL7FVLMXQIL6.json","view_paper":"https://pith.science/paper/P46VJB7S","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2504.17764&json=true","fetch_graph":"https://pith.science/api/pith-number/P46VJB7SLDHFGWOL7FVLMXQIL6/graph.json","fetch_events":"https://pith.science/api/pith-number/P46VJB7SLDHFGWOL7FVLMXQIL6/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/P46VJB7SLDHFGWOL7FVLMXQIL6/action/timestamp_anchor","attest_storage":"https://pith.science/pith/P46VJB7SLDHFGWOL7FVLMXQIL6/action/storage_attestation","attest_author":"https://pith.science/pith/P46VJB7SLDHFGWOL7FVLMXQIL6/action/author_attestation","sign_citation":"https://pith.science/pith/P46VJB7SLDHFGWOL7FVLMXQIL6/action/citation_signature","submit_replication":"https://pith.science/pith/P46VJB7SLDHFGWOL7FVLMXQIL6/action/replication_record"}},"created_at":"2026-05-22T01:03:42.508182+00:00","updated_at":"2026-05-22T01:03:42.508182+00:00"}