{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2011:2SVVIBQJUYDWPZRQ3U2NB4EQF3","short_pith_number":"pith:2SVVIBQJ","canonical_record":{"source":{"id":"1108.3060","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RT","submitted_at":"2011-08-15T19:06:31Z","cross_cats_sorted":[],"title_canon_sha256":"6870fb92a3ac4b8d3fbcffb14f5c499d5d726006bbe3677f8d7fac436638d591","abstract_canon_sha256":"8f7b6a579dc173feffe4c4da3f0ed7e2a7677e61cf4db9ffdf2f527f3edb3ee4"},"schema_version":"1.0"},"canonical_sha256":"d4ab540609a60767e630dd34d0f0902ee1eb0dfbc2b52caa4cc0f17c37c8ae5b","source":{"kind":"arxiv","id":"1108.3060","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1108.3060","created_at":"2026-05-18T04:15:28Z"},{"alias_kind":"arxiv_version","alias_value":"1108.3060v1","created_at":"2026-05-18T04:15:28Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1108.3060","created_at":"2026-05-18T04:15:28Z"},{"alias_kind":"pith_short_12","alias_value":"2SVVIBQJUYDW","created_at":"2026-05-18T12:26:18Z"},{"alias_kind":"pith_short_16","alias_value":"2SVVIBQJUYDWPZRQ","created_at":"2026-05-18T12:26:18Z"},{"alias_kind":"pith_short_8","alias_value":"2SVVIBQJ","created_at":"2026-05-18T12:26:18Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2011:2SVVIBQJUYDWPZRQ3U2NB4EQF3","target":"record","payload":{"canonical_record":{"source":{"id":"1108.3060","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RT","submitted_at":"2011-08-15T19:06:31Z","cross_cats_sorted":[],"title_canon_sha256":"6870fb92a3ac4b8d3fbcffb14f5c499d5d726006bbe3677f8d7fac436638d591","abstract_canon_sha256":"8f7b6a579dc173feffe4c4da3f0ed7e2a7677e61cf4db9ffdf2f527f3edb3ee4"},"schema_version":"1.0"},"canonical_sha256":"d4ab540609a60767e630dd34d0f0902ee1eb0dfbc2b52caa4cc0f17c37c8ae5b","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:15:28.741870Z","signature_b64":"BwXyVc5dIU7IkcvdFdS833t+fuKqhJfvZnkKvf0hZspSYxmwaJkruM0UUSwihG5/LiNQtuvbb59bWLS1xQ8sDg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"d4ab540609a60767e630dd34d0f0902ee1eb0dfbc2b52caa4cc0f17c37c8ae5b","last_reissued_at":"2026-05-18T04:15:28.741419Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:15:28.741419Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1108.3060","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T04:15:28Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"BM47Wrjoc0FRjTODIDjanZAazfIm7uTSRr5zW4ppDUe7PAVMeqV7h5X+8d2AuqpywLSY66a3Ypa4NLF4KwVOCg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-08T17:05:00.909442Z"},"content_sha256":"4a3cc1545ed032e6419696d2bf692ba4561019958369f5546d57b893e60ff97f","schema_version":"1.0","event_id":"sha256:4a3cc1545ed032e6419696d2bf692ba4561019958369f5546d57b893e60ff97f"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2011:2SVVIBQJUYDWPZRQ3U2NB4EQF3","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Tensor categories attached to exceptional cells in Weyl groups","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.RT","authors_text":"Victor Ostrik","submitted_at":"2011-08-15T19:06:31Z","abstract_excerpt":"Using truncated convolution of perverse sheaves on a flag variety Lusztig associated a monoidal category to a two sided cell in the Weyl group. We identify this category in the case which was not decided previously."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1108.3060","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":""},"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":"2026-05-18T04:15:28Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"WzCOyTv94fUlhRSUGCS1pXGQKMwGzSvLIKY6RytGJFWGUqLfufPBDsZwDuaWnX3rj33aRCeRpWOxTKTqLbGLBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-08T17:05:00.910122Z"},"content_sha256":"69c2b0aaedac4211f18c38a4bbb7abb81735c600a31b3011cd9e503a8d1fc7f4","schema_version":"1.0","event_id":"sha256:69c2b0aaedac4211f18c38a4bbb7abb81735c600a31b3011cd9e503a8d1fc7f4"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/2SVVIBQJUYDWPZRQ3U2NB4EQF3/bundle.json","state_url":"https://pith.science/pith/2SVVIBQJUYDWPZRQ3U2NB4EQF3/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/2SVVIBQJUYDWPZRQ3U2NB4EQF3/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":"2026-06-08T17:05:00Z","links":{"resolver":"https://pith.science/pith/2SVVIBQJUYDWPZRQ3U2NB4EQF3","bundle":"https://pith.science/pith/2SVVIBQJUYDWPZRQ3U2NB4EQF3/bundle.json","state":"https://pith.science/pith/2SVVIBQJUYDWPZRQ3U2NB4EQF3/state.json","well_known_bundle":"https://pith.science/.well-known/pith/2SVVIBQJUYDWPZRQ3U2NB4EQF3/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:2SVVIBQJUYDWPZRQ3U2NB4EQF3","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":"8f7b6a579dc173feffe4c4da3f0ed7e2a7677e61cf4db9ffdf2f527f3edb3ee4","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RT","submitted_at":"2011-08-15T19:06:31Z","title_canon_sha256":"6870fb92a3ac4b8d3fbcffb14f5c499d5d726006bbe3677f8d7fac436638d591"},"schema_version":"1.0","source":{"id":"1108.3060","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1108.3060","created_at":"2026-05-18T04:15:28Z"},{"alias_kind":"arxiv_version","alias_value":"1108.3060v1","created_at":"2026-05-18T04:15:28Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1108.3060","created_at":"2026-05-18T04:15:28Z"},{"alias_kind":"pith_short_12","alias_value":"2SVVIBQJUYDW","created_at":"2026-05-18T12:26:18Z"},{"alias_kind":"pith_short_16","alias_value":"2SVVIBQJUYDWPZRQ","created_at":"2026-05-18T12:26:18Z"},{"alias_kind":"pith_short_8","alias_value":"2SVVIBQJ","created_at":"2026-05-18T12:26:18Z"}],"graph_snapshots":[{"event_id":"sha256:69c2b0aaedac4211f18c38a4bbb7abb81735c600a31b3011cd9e503a8d1fc7f4","target":"graph","created_at":"2026-05-18T04:15:28Z","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":"Using truncated convolution of perverse sheaves on a flag variety Lusztig associated a monoidal category to a two sided cell in the Weyl group. We identify this category in the case which was not decided previously.","authors_text":"Victor Ostrik","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RT","submitted_at":"2011-08-15T19:06:31Z","title":"Tensor categories attached to exceptional cells in Weyl groups"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1108.3060","kind":"arxiv","version":1},"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":"sha256:4a3cc1545ed032e6419696d2bf692ba4561019958369f5546d57b893e60ff97f","target":"record","created_at":"2026-05-18T04:15:28Z","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":"8f7b6a579dc173feffe4c4da3f0ed7e2a7677e61cf4db9ffdf2f527f3edb3ee4","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RT","submitted_at":"2011-08-15T19:06:31Z","title_canon_sha256":"6870fb92a3ac4b8d3fbcffb14f5c499d5d726006bbe3677f8d7fac436638d591"},"schema_version":"1.0","source":{"id":"1108.3060","kind":"arxiv","version":1}},"canonical_sha256":"d4ab540609a60767e630dd34d0f0902ee1eb0dfbc2b52caa4cc0f17c37c8ae5b","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"d4ab540609a60767e630dd34d0f0902ee1eb0dfbc2b52caa4cc0f17c37c8ae5b","first_computed_at":"2026-05-18T04:15:28.741419Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:15:28.741419Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"BwXyVc5dIU7IkcvdFdS833t+fuKqhJfvZnkKvf0hZspSYxmwaJkruM0UUSwihG5/LiNQtuvbb59bWLS1xQ8sDg==","signature_status":"signed_v1","signed_at":"2026-05-18T04:15:28.741870Z","signed_message":"canonical_sha256_bytes"},"source_id":"1108.3060","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:4a3cc1545ed032e6419696d2bf692ba4561019958369f5546d57b893e60ff97f","sha256:69c2b0aaedac4211f18c38a4bbb7abb81735c600a31b3011cd9e503a8d1fc7f4"],"state_sha256":"1cddc9ca9060a464fc5498330a8f2a961200ff25dc6a35c7e70f45b3c4c45ce4"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"b2YUnVrK7NPSAvC6zVOasSGcJkn7NIZyzrv/+hvMkZ+jw6Tp9vaB92zOuilDSlMdMYi2NlVWnAYtwyr2jQawDQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-08T17:05:00.914222Z","bundle_sha256":"0570e178eb62f27123c0506d885b5a67de6aa2009edd271410c7a79e3ed6381d"}}