{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2010:UMPQVVQG4QHQZN4OFK2XOALA62","short_pith_number":"pith:UMPQVVQG","canonical_record":{"source":{"id":"1008.0370","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.QA","submitted_at":"2010-08-02T18:26:44Z","cross_cats_sorted":["math.RT"],"title_canon_sha256":"4f6caf114df9e125c82dab0e86a6e38512253331cd5c92287ae824b636991942","abstract_canon_sha256":"3dd6fd201c1f08e16110d78ad2d7bd2f77f83cd4550db8e1e9484917b8a9ff03"},"schema_version":"1.0"},"canonical_sha256":"a31f0ad606e40f0cb78e2ab5770160f6883ab43867cabbabec2dc55c3d7192c0","source":{"kind":"arxiv","id":"1008.0370","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1008.0370","created_at":"2026-05-18T03:53:29Z"},{"alias_kind":"arxiv_version","alias_value":"1008.0370v2","created_at":"2026-05-18T03:53:29Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1008.0370","created_at":"2026-05-18T03:53:29Z"},{"alias_kind":"pith_short_12","alias_value":"UMPQVVQG4QHQ","created_at":"2026-05-18T12:26:15Z"},{"alias_kind":"pith_short_16","alias_value":"UMPQVVQG4QHQZN4O","created_at":"2026-05-18T12:26:15Z"},{"alias_kind":"pith_short_8","alias_value":"UMPQVVQG","created_at":"2026-05-18T12:26:15Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2010:UMPQVVQG4QHQZN4OFK2XOALA62","target":"record","payload":{"canonical_record":{"source":{"id":"1008.0370","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.QA","submitted_at":"2010-08-02T18:26:44Z","cross_cats_sorted":["math.RT"],"title_canon_sha256":"4f6caf114df9e125c82dab0e86a6e38512253331cd5c92287ae824b636991942","abstract_canon_sha256":"3dd6fd201c1f08e16110d78ad2d7bd2f77f83cd4550db8e1e9484917b8a9ff03"},"schema_version":"1.0"},"canonical_sha256":"a31f0ad606e40f0cb78e2ab5770160f6883ab43867cabbabec2dc55c3d7192c0","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:53:29.667667Z","signature_b64":"xOdYmTEpZXhJy+9fC/P4jIHIg12gukUVtirOPF8q8o6XkxoHx58cGrE81trqPKC6iok4tnunHd61bnVGnUzaBw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"a31f0ad606e40f0cb78e2ab5770160f6883ab43867cabbabec2dc55c3d7192c0","last_reissued_at":"2026-05-18T03:53:29.666185Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:53:29.666185Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1008.0370","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":"2026-05-18T03:53:29Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"pqrX+B68rDbiYf5xheJFGjKxJA03uxTknNd+IX1wesj7EQGI3t94y9Q+hHXAiRf/A9aRCGpqR/rxY6NMViGbBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-26T02:01:12.385573Z"},"content_sha256":"fa72bae5bac0d427d7961df2d927fe3f6840f612f2e94e71d2f63aee29b6c559","schema_version":"1.0","event_id":"sha256:fa72bae5bac0d427d7961df2d927fe3f6840f612f2e94e71d2f63aee29b6c559"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2010:UMPQVVQG4QHQZN4OFK2XOALA62","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"A categorification of the Casimir of quantum sl(2)","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.RT"],"primary_cat":"math.QA","authors_text":"Aaron D. Lauda, Anna Beliakova, Mikhail Khovanov","submitted_at":"2010-08-02T18:26:44Z","abstract_excerpt":"We categorify the Casimir element of the idempotented form of quantum sl(2)."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1008.0370","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":""},"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":"2026-05-18T03:53:29Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"nCZa+gQrjKG6XsqbLzWQUd8PvFhNW6NQrOSzB1Zj5URF3lGuxH70e6wAleWH4qtL5vH0ARYTQprIigTHYEYDCw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-26T02:01:12.386245Z"},"content_sha256":"b84a0234c4d077946bbe8c68b58ea22b9ea5110e79e5e4f5a2cd8dcba6873ce2","schema_version":"1.0","event_id":"sha256:b84a0234c4d077946bbe8c68b58ea22b9ea5110e79e5e4f5a2cd8dcba6873ce2"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/UMPQVVQG4QHQZN4OFK2XOALA62/bundle.json","state_url":"https://pith.science/pith/UMPQVVQG4QHQZN4OFK2XOALA62/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/UMPQVVQG4QHQZN4OFK2XOALA62/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":"2026-05-26T02:01:12Z","links":{"resolver":"https://pith.science/pith/UMPQVVQG4QHQZN4OFK2XOALA62","bundle":"https://pith.science/pith/UMPQVVQG4QHQZN4OFK2XOALA62/bundle.json","state":"https://pith.science/pith/UMPQVVQG4QHQZN4OFK2XOALA62/state.json","well_known_bundle":"https://pith.science/.well-known/pith/UMPQVVQG4QHQZN4OFK2XOALA62/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2010:UMPQVVQG4QHQZN4OFK2XOALA62","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":"3dd6fd201c1f08e16110d78ad2d7bd2f77f83cd4550db8e1e9484917b8a9ff03","cross_cats_sorted":["math.RT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.QA","submitted_at":"2010-08-02T18:26:44Z","title_canon_sha256":"4f6caf114df9e125c82dab0e86a6e38512253331cd5c92287ae824b636991942"},"schema_version":"1.0","source":{"id":"1008.0370","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1008.0370","created_at":"2026-05-18T03:53:29Z"},{"alias_kind":"arxiv_version","alias_value":"1008.0370v2","created_at":"2026-05-18T03:53:29Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1008.0370","created_at":"2026-05-18T03:53:29Z"},{"alias_kind":"pith_short_12","alias_value":"UMPQVVQG4QHQ","created_at":"2026-05-18T12:26:15Z"},{"alias_kind":"pith_short_16","alias_value":"UMPQVVQG4QHQZN4O","created_at":"2026-05-18T12:26:15Z"},{"alias_kind":"pith_short_8","alias_value":"UMPQVVQG","created_at":"2026-05-18T12:26:15Z"}],"graph_snapshots":[{"event_id":"sha256:b84a0234c4d077946bbe8c68b58ea22b9ea5110e79e5e4f5a2cd8dcba6873ce2","target":"graph","created_at":"2026-05-18T03:53:29Z","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 categorify the Casimir element of the idempotented form of quantum sl(2).","authors_text":"Aaron D. Lauda, Anna Beliakova, Mikhail Khovanov","cross_cats":["math.RT"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.QA","submitted_at":"2010-08-02T18:26:44Z","title":"A categorification of the Casimir of quantum sl(2)"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1008.0370","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:fa72bae5bac0d427d7961df2d927fe3f6840f612f2e94e71d2f63aee29b6c559","target":"record","created_at":"2026-05-18T03:53:29Z","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":"3dd6fd201c1f08e16110d78ad2d7bd2f77f83cd4550db8e1e9484917b8a9ff03","cross_cats_sorted":["math.RT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.QA","submitted_at":"2010-08-02T18:26:44Z","title_canon_sha256":"4f6caf114df9e125c82dab0e86a6e38512253331cd5c92287ae824b636991942"},"schema_version":"1.0","source":{"id":"1008.0370","kind":"arxiv","version":2}},"canonical_sha256":"a31f0ad606e40f0cb78e2ab5770160f6883ab43867cabbabec2dc55c3d7192c0","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"a31f0ad606e40f0cb78e2ab5770160f6883ab43867cabbabec2dc55c3d7192c0","first_computed_at":"2026-05-18T03:53:29.666185Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:53:29.666185Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"xOdYmTEpZXhJy+9fC/P4jIHIg12gukUVtirOPF8q8o6XkxoHx58cGrE81trqPKC6iok4tnunHd61bnVGnUzaBw==","signature_status":"signed_v1","signed_at":"2026-05-18T03:53:29.667667Z","signed_message":"canonical_sha256_bytes"},"source_id":"1008.0370","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:fa72bae5bac0d427d7961df2d927fe3f6840f612f2e94e71d2f63aee29b6c559","sha256:b84a0234c4d077946bbe8c68b58ea22b9ea5110e79e5e4f5a2cd8dcba6873ce2"],"state_sha256":"ad950389a7566da1372f74a66f033f88a4297871083ec88b775b54fe0c24ee0c"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"dcgt5xryI8v7mRgznq6AZDTs7xNffzC4lZ7bibl4DfG/zPZpPhBxl1wQRfAMs4caGGvcoyLLjrsqQExWChx2Aw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-26T02:01:12.390290Z","bundle_sha256":"bdba3a30a932c36b8ec378c1b91ce9d215ef55ca9c14a46417e51854adb3c0e8"}}