{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2023:ROLO5MXG7LACESG5IQ5HFRJW4R","short_pith_number":"pith:ROLO5MXG","canonical_record":{"source":{"id":"2305.05877","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.QA","submitted_at":"2023-05-10T03:50:18Z","cross_cats_sorted":["math.RT"],"title_canon_sha256":"2cd3ca100cf1bc9cdb2b550add63fc0d35073ed9e8ac8159ca6cc8319b90bbab","abstract_canon_sha256":"e364ab334b038d07acc7beeac97d88fd086e2314353f6f751ff16b36b9ef41e7"},"schema_version":"1.0"},"canonical_sha256":"8b96eeb2e6fac02248dd443a72c536e44bff6fc240fa3e6477068583da526709","source":{"kind":"arxiv","id":"2305.05877","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2305.05877","created_at":"2026-07-05T12:02:31Z"},{"alias_kind":"arxiv_version","alias_value":"2305.05877v2","created_at":"2026-07-05T12:02:31Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2305.05877","created_at":"2026-07-05T12:02:31Z"},{"alias_kind":"pith_short_12","alias_value":"ROLO5MXG7LAC","created_at":"2026-07-05T12:02:31Z"},{"alias_kind":"pith_short_16","alias_value":"ROLO5MXG7LACESG5","created_at":"2026-07-05T12:02:31Z"},{"alias_kind":"pith_short_8","alias_value":"ROLO5MXG","created_at":"2026-07-05T12:02:31Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2023:ROLO5MXG7LACESG5IQ5HFRJW4R","target":"record","payload":{"canonical_record":{"source":{"id":"2305.05877","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.QA","submitted_at":"2023-05-10T03:50:18Z","cross_cats_sorted":["math.RT"],"title_canon_sha256":"2cd3ca100cf1bc9cdb2b550add63fc0d35073ed9e8ac8159ca6cc8319b90bbab","abstract_canon_sha256":"e364ab334b038d07acc7beeac97d88fd086e2314353f6f751ff16b36b9ef41e7"},"schema_version":"1.0"},"canonical_sha256":"8b96eeb2e6fac02248dd443a72c536e44bff6fc240fa3e6477068583da526709","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T12:02:31.757388Z","signature_b64":"AbFFFDEn0qXbWqSvUt3YExzYy10ntKeMOqKhoBSxR/eNoQ2L1yRR16W+LxDRLkD7IT+PBuqvHSzC7Uhq77rOBw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"8b96eeb2e6fac02248dd443a72c536e44bff6fc240fa3e6477068583da526709","last_reissued_at":"2026-07-05T12:02:31.756979Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T12:02:31.756979Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2305.05877","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-05T12:02:31Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"7ojlTmAhtfoI+qVeDzJ5aF7teBuRr+RtY9TLrHDU64fwI35jRb7+/FT1/9bP1oTxG+FyZqHhkFJR2YEOf3BqDQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-08T22:04:54.843968Z"},"content_sha256":"36118a20953f0e0347b57f3829f19801a68845f45ed0b3bbe00435f618aa6c65","schema_version":"1.0","event_id":"sha256:36118a20953f0e0347b57f3829f19801a68845f45ed0b3bbe00435f618aa6c65"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2023:ROLO5MXG7LACESG5IQ5HFRJW4R","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Nil-Brauer categorifies the split iquantum group of rank one","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.RT"],"primary_cat":"math.QA","authors_text":"Ben Webster, Jonathan Brundan, Weiqiang Wang","submitted_at":"2023-05-10T03:50:18Z","abstract_excerpt":"We prove that the Grothendieck ring of the monoidal category of finitely generated graded projective modules for the nil-Brauer category is isomorphic to an integral form of the split iquantum group of rank one. Under this isomorphism, the indecomposable graded projective modules correspond to the icanonical basis. We also derive character formulae for irreducible graded modules and deduce various branching rules."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2305.05877","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/2305.05877/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"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-05T12:02:31Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"gFGcpOq43x38Wh5TzQJhS6kZsJw44uRa22YfmoqA9Cm/+AdIJV9dOz4AslfAWuzgMDaOHjPZvEa8Cl92CFrbBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-08T22:04:54.844446Z"},"content_sha256":"c27880c991f902014012749bc82ce9dc139001ec1830e2544f5d677dc7c14bab","schema_version":"1.0","event_id":"sha256:c27880c991f902014012749bc82ce9dc139001ec1830e2544f5d677dc7c14bab"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/ROLO5MXG7LACESG5IQ5HFRJW4R/bundle.json","state_url":"https://pith.science/pith/ROLO5MXG7LACESG5IQ5HFRJW4R/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/ROLO5MXG7LACESG5IQ5HFRJW4R/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-08-08T22:04:54Z","links":{"resolver":"https://pith.science/pith/ROLO5MXG7LACESG5IQ5HFRJW4R","bundle":"https://pith.science/pith/ROLO5MXG7LACESG5IQ5HFRJW4R/bundle.json","state":"https://pith.science/pith/ROLO5MXG7LACESG5IQ5HFRJW4R/state.json","well_known_bundle":"https://pith.science/.well-known/pith/ROLO5MXG7LACESG5IQ5HFRJW4R/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2023:ROLO5MXG7LACESG5IQ5HFRJW4R","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":"e364ab334b038d07acc7beeac97d88fd086e2314353f6f751ff16b36b9ef41e7","cross_cats_sorted":["math.RT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.QA","submitted_at":"2023-05-10T03:50:18Z","title_canon_sha256":"2cd3ca100cf1bc9cdb2b550add63fc0d35073ed9e8ac8159ca6cc8319b90bbab"},"schema_version":"1.0","source":{"id":"2305.05877","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2305.05877","created_at":"2026-07-05T12:02:31Z"},{"alias_kind":"arxiv_version","alias_value":"2305.05877v2","created_at":"2026-07-05T12:02:31Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2305.05877","created_at":"2026-07-05T12:02:31Z"},{"alias_kind":"pith_short_12","alias_value":"ROLO5MXG7LAC","created_at":"2026-07-05T12:02:31Z"},{"alias_kind":"pith_short_16","alias_value":"ROLO5MXG7LACESG5","created_at":"2026-07-05T12:02:31Z"},{"alias_kind":"pith_short_8","alias_value":"ROLO5MXG","created_at":"2026-07-05T12:02:31Z"}],"graph_snapshots":[{"event_id":"sha256:c27880c991f902014012749bc82ce9dc139001ec1830e2544f5d677dc7c14bab","target":"graph","created_at":"2026-07-05T12:02:31Z","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/2305.05877/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We prove that the Grothendieck ring of the monoidal category of finitely generated graded projective modules for the nil-Brauer category is isomorphic to an integral form of the split iquantum group of rank one. Under this isomorphism, the indecomposable graded projective modules correspond to the icanonical basis. We also derive character formulae for irreducible graded modules and deduce various branching rules.","authors_text":"Ben Webster, Jonathan Brundan, Weiqiang Wang","cross_cats":["math.RT"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.QA","submitted_at":"2023-05-10T03:50:18Z","title":"Nil-Brauer categorifies the split iquantum group of rank one"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2305.05877","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":"sha256:36118a20953f0e0347b57f3829f19801a68845f45ed0b3bbe00435f618aa6c65","target":"record","created_at":"2026-07-05T12:02:31Z","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":"e364ab334b038d07acc7beeac97d88fd086e2314353f6f751ff16b36b9ef41e7","cross_cats_sorted":["math.RT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.QA","submitted_at":"2023-05-10T03:50:18Z","title_canon_sha256":"2cd3ca100cf1bc9cdb2b550add63fc0d35073ed9e8ac8159ca6cc8319b90bbab"},"schema_version":"1.0","source":{"id":"2305.05877","kind":"arxiv","version":2}},"canonical_sha256":"8b96eeb2e6fac02248dd443a72c536e44bff6fc240fa3e6477068583da526709","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"8b96eeb2e6fac02248dd443a72c536e44bff6fc240fa3e6477068583da526709","first_computed_at":"2026-07-05T12:02:31.756979Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T12:02:31.756979Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"AbFFFDEn0qXbWqSvUt3YExzYy10ntKeMOqKhoBSxR/eNoQ2L1yRR16W+LxDRLkD7IT+PBuqvHSzC7Uhq77rOBw==","signature_status":"signed_v1","signed_at":"2026-07-05T12:02:31.757388Z","signed_message":"canonical_sha256_bytes"},"source_id":"2305.05877","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:36118a20953f0e0347b57f3829f19801a68845f45ed0b3bbe00435f618aa6c65","sha256:c27880c991f902014012749bc82ce9dc139001ec1830e2544f5d677dc7c14bab"],"state_sha256":"64bc0791b6446fba88a54c930fc274454c1ea7f43980f3db8710ec851f507a6c"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Y6PCA/C77QJujDxCZsNvs2o5XtFTgW2Chi8+KMsazUKUd+cbX4MrsLdRhq/vGXOmD516/DLI/Rkq3+Hq3jcfBw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-08T22:04:54.847934Z","bundle_sha256":"cbdd7c32caaac08aec8b55986a1c4f76ce092cca87c79d3e607dee9abf34551f"}}