{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:U34QXEM32CYSRMB2XZH5BJSTFA","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":"fd8a73292d19bb22bd33a6b411318b641860bfef8a33d48bb815b18340c67c79","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RT","submitted_at":"2014-04-25T22:29:06Z","title_canon_sha256":"ad5764a97d0ecc7e6000e77f6a55b343eeef186f54556529cf713d97990b2ec6"},"schema_version":"1.0","source":{"id":"1404.6574","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1404.6574","created_at":"2026-05-18T00:47:38Z"},{"alias_kind":"arxiv_version","alias_value":"1404.6574v2","created_at":"2026-05-18T00:47:38Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1404.6574","created_at":"2026-05-18T00:47:38Z"},{"alias_kind":"pith_short_12","alias_value":"U34QXEM32CYS","created_at":"2026-05-18T12:28:52Z"},{"alias_kind":"pith_short_16","alias_value":"U34QXEM32CYSRMB2","created_at":"2026-05-18T12:28:52Z"},{"alias_kind":"pith_short_8","alias_value":"U34QXEM3","created_at":"2026-05-18T12:28:52Z"}],"graph_snapshots":[{"event_id":"sha256:463b1b180e4349b3812ffdca9cf264b520a8d3fa3134158f1d4fb856af50c895","target":"graph","created_at":"2026-05-18T00:47:38Z","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":"The affine oriented Brauer category is a monoidal category obtained from the oriented Brauer category (= the free symmetric monoidal category generated by a single object and its dual) by adjoining a polynomial generator subject to appropriate relations. In this article, we prove a basis theorem for the morphism spaces in this category, as well as for all of its cyclotomic quotients.","authors_text":"Andrew Reynolds, David Nash, Jonathan Brundan, Jonathan Comes","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RT","submitted_at":"2014-04-25T22:29:06Z","title":"A basis theorem for the affine oriented Brauer category and its cyclotomic quotients"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1404.6574","kind":"arxiv","version":2},"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":"sha256:4d6fe2b1c03b6fa911fa180daba6b39e09e263c60e32d6cd213fc95927858a57","target":"record","created_at":"2026-05-18T00:47:38Z","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":"fd8a73292d19bb22bd33a6b411318b641860bfef8a33d48bb815b18340c67c79","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RT","submitted_at":"2014-04-25T22:29:06Z","title_canon_sha256":"ad5764a97d0ecc7e6000e77f6a55b343eeef186f54556529cf713d97990b2ec6"},"schema_version":"1.0","source":{"id":"1404.6574","kind":"arxiv","version":2}},"canonical_sha256":"a6f90b919bd0b128b03abe4fd0a653283e88b44da40566af134db4ebfab7eaf4","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"a6f90b919bd0b128b03abe4fd0a653283e88b44da40566af134db4ebfab7eaf4","first_computed_at":"2026-05-18T00:47:38.441618Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:47:38.441618Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"kwxGVd/mhqcX06R/bPvZNHxKj2i2UrOF9KYbMBcsoLlJX8MilL2VQc9UYFLdzP+/DeQf9qyHVQENaJNXgJibBQ==","signature_status":"signed_v1","signed_at":"2026-05-18T00:47:38.442235Z","signed_message":"canonical_sha256_bytes"},"source_id":"1404.6574","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:4d6fe2b1c03b6fa911fa180daba6b39e09e263c60e32d6cd213fc95927858a57","sha256:463b1b180e4349b3812ffdca9cf264b520a8d3fa3134158f1d4fb856af50c895"],"state_sha256":"693a97631221045f79166a91d69ae400d3a6d50189ac2f6a4ef1ef38b034e27c"}