{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:JNQ43KG2F76ZD4ULZWNMYDUP7N","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":"ecc31fbaf405f98d9791a8f6f364200fe765dd557ac7016367d9fbcd1de69ad2","cross_cats_sorted":["math.CT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.QA","submitted_at":"2011-02-24T00:03:46Z","title_canon_sha256":"ba863b18af89558a5b59885836fe5983a3c9d138c189d7ca486abe7e6f202f5c"},"schema_version":"1.0","source":{"id":"1102.4882","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1102.4882","created_at":"2026-05-18T04:13:46Z"},{"alias_kind":"arxiv_version","alias_value":"1102.4882v3","created_at":"2026-05-18T04:13:46Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1102.4882","created_at":"2026-05-18T04:13:46Z"},{"alias_kind":"pith_short_12","alias_value":"JNQ43KG2F76Z","created_at":"2026-05-18T12:26:32Z"},{"alias_kind":"pith_short_16","alias_value":"JNQ43KG2F76ZD4UL","created_at":"2026-05-18T12:26:32Z"},{"alias_kind":"pith_short_8","alias_value":"JNQ43KG2","created_at":"2026-05-18T12:26:32Z"}],"graph_snapshots":[{"event_id":"sha256:32490ba654a4f6235391e3f251956ce11328086c6abe77161fea264ce7a3b181","target":"graph","created_at":"2026-05-18T04:13:46Z","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"},"paper":{"abstract_excerpt":"We study exact module categories over the representation categories of finite-dimensional quasi-Hopf algebras. As a consequence we classify exact module categories over some families of pointed tensor categories with cyclic group of invertible objets of order p, where p is a prime number.","authors_text":"C\\'esar Galindo, Mart\\'in Mombelli","cross_cats":["math.CT"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.QA","submitted_at":"2011-02-24T00:03:46Z","title":"Module categories over finite pointed tensor categories"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1102.4882","kind":"arxiv","version":3},"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:b20b16ddedff3c3653e08f9e3f1f1d11b2b4d91f7a6fcafb95d1729126e72b27","target":"record","created_at":"2026-05-18T04:13:46Z","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":"ecc31fbaf405f98d9791a8f6f364200fe765dd557ac7016367d9fbcd1de69ad2","cross_cats_sorted":["math.CT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.QA","submitted_at":"2011-02-24T00:03:46Z","title_canon_sha256":"ba863b18af89558a5b59885836fe5983a3c9d138c189d7ca486abe7e6f202f5c"},"schema_version":"1.0","source":{"id":"1102.4882","kind":"arxiv","version":3}},"canonical_sha256":"4b61cda8da2ffd91f28bcd9acc0e8ffb52fb59e54434b0b7fbed1985234a4df0","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"4b61cda8da2ffd91f28bcd9acc0e8ffb52fb59e54434b0b7fbed1985234a4df0","first_computed_at":"2026-05-18T04:13:46.991118Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:13:46.991118Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"TRIsyuk/ZMbbNtGBF6nxYY1caBhNUwj5h7BhUSBzaI/FPoXcSd0reOE7YkUU/VyB1Xp6CQae1zc67CjbIiYPDw==","signature_status":"signed_v1","signed_at":"2026-05-18T04:13:46.991614Z","signed_message":"canonical_sha256_bytes"},"source_id":"1102.4882","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:b20b16ddedff3c3653e08f9e3f1f1d11b2b4d91f7a6fcafb95d1729126e72b27","sha256:32490ba654a4f6235391e3f251956ce11328086c6abe77161fea264ce7a3b181"],"state_sha256":"f559494b2d3c682c8a4ddf4c9c507caafc44a5a098c98065375bf43f5444c0ea"}