{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2015:BIV5X6YXBNFANDZLAFH6H3G7XI","short_pith_number":"pith:BIV5X6YX","canonical_record":{"source":{"id":"1512.00116","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RT","submitted_at":"2015-12-01T01:38:37Z","cross_cats_sorted":[],"title_canon_sha256":"f7d7b1da5122e1f4c99ef69c2b368345bc1bd928c0883fa7dbd3e2e3e1e232fa","abstract_canon_sha256":"78f7180b31c339ec8d6c2801b97d50edbcad21b88a7fa1b50c5d1f92c932a8b6"},"schema_version":"1.0"},"canonical_sha256":"0a2bdbfb170b4a068f2b014fe3ecdfba28845e4100913744c6523b7319579d6b","source":{"kind":"arxiv","id":"1512.00116","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1512.00116","created_at":"2026-05-18T00:33:53Z"},{"alias_kind":"arxiv_version","alias_value":"1512.00116v3","created_at":"2026-05-18T00:33:53Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1512.00116","created_at":"2026-05-18T00:33:53Z"},{"alias_kind":"pith_short_12","alias_value":"BIV5X6YXBNFA","created_at":"2026-05-18T12:29:14Z"},{"alias_kind":"pith_short_16","alias_value":"BIV5X6YXBNFANDZL","created_at":"2026-05-18T12:29:14Z"},{"alias_kind":"pith_short_8","alias_value":"BIV5X6YX","created_at":"2026-05-18T12:29:14Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2015:BIV5X6YXBNFANDZLAFH6H3G7XI","target":"record","payload":{"canonical_record":{"source":{"id":"1512.00116","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RT","submitted_at":"2015-12-01T01:38:37Z","cross_cats_sorted":[],"title_canon_sha256":"f7d7b1da5122e1f4c99ef69c2b368345bc1bd928c0883fa7dbd3e2e3e1e232fa","abstract_canon_sha256":"78f7180b31c339ec8d6c2801b97d50edbcad21b88a7fa1b50c5d1f92c932a8b6"},"schema_version":"1.0"},"canonical_sha256":"0a2bdbfb170b4a068f2b014fe3ecdfba28845e4100913744c6523b7319579d6b","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:33:53.451481Z","signature_b64":"27UZvOZl8sFIjZuY27gmuxMKHU3JL8Sordhdg1DKRtzeVUi2Jx4uBGmjrUAvmM1MGQJZ313NX5Sjugumr1eWCw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"0a2bdbfb170b4a068f2b014fe3ecdfba28845e4100913744c6523b7319579d6b","last_reissued_at":"2026-05-18T00:33:53.450956Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:33:53.450956Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1512.00116","source_version":3,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T00:33:53Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Pt3LD2jJ5NbBeJsvhP6ZJGQB6LPiDFDlYUffJ5L0rwX7NH9+Tcgj1H33YKEQhLpTljkwyYEXvo/kXfeulrhNBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-22T16:15:28.639686Z"},"content_sha256":"d4b8e809a59a74327470c7a71bceb2ba282a44f8b5391b84722eb6ad12d3ef6a","schema_version":"1.0","event_id":"sha256:d4b8e809a59a74327470c7a71bceb2ba282a44f8b5391b84722eb6ad12d3ef6a"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2015:BIV5X6YXBNFANDZLAFH6H3G7XI","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Character formulae for queer Lie superalgebras and canonical bases of types $A/C$","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.RT","authors_text":"Jae-Hoon Kwon, Shun-Jen Cheng, Weiqiang Wang","submitted_at":"2015-12-01T01:38:37Z","abstract_excerpt":"For the BGG category of $\\mathfrak{q}(n)$-modules of half-integer weights, a Kazhdan-Lusztig conjecture \\`a la Brundan is formulated in terms of categorical canonical basis of the $n$th tensor power of the natural representation of the quantum group of type $C$. For the BGG category of $\\mathfrak{q}(n)$-modules of congruent non-integral weights, a Kazhdan-Lusztig conjecture is formulated in terms of canonical basis of a mixed tensor of the natural representation and its dual of the quantum group of type $A$. We also establish a character formula for the finite-dimensional irreducible $\\mathfra"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1512.00116","kind":"arxiv","version":3},"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":"2026-05-18T00:33:53Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"M2NvqHcFWtohTPH4kVkEsR7K+qtTQI2vXIB/daH0pnny7dL0qQVnlVC6Khd6Apuj3bIMsDvJ1eMDM5Fd3DTLCQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-22T16:15:28.640215Z"},"content_sha256":"796311e53048abfaf00548a8469f37f0e908b4d9c12eb969ba961e2965d5c513","schema_version":"1.0","event_id":"sha256:796311e53048abfaf00548a8469f37f0e908b4d9c12eb969ba961e2965d5c513"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/BIV5X6YXBNFANDZLAFH6H3G7XI/bundle.json","state_url":"https://pith.science/pith/BIV5X6YXBNFANDZLAFH6H3G7XI/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/BIV5X6YXBNFANDZLAFH6H3G7XI/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":"2026-05-22T16:15:28Z","links":{"resolver":"https://pith.science/pith/BIV5X6YXBNFANDZLAFH6H3G7XI","bundle":"https://pith.science/pith/BIV5X6YXBNFANDZLAFH6H3G7XI/bundle.json","state":"https://pith.science/pith/BIV5X6YXBNFANDZLAFH6H3G7XI/state.json","well_known_bundle":"https://pith.science/.well-known/pith/BIV5X6YXBNFANDZLAFH6H3G7XI/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:BIV5X6YXBNFANDZLAFH6H3G7XI","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":"78f7180b31c339ec8d6c2801b97d50edbcad21b88a7fa1b50c5d1f92c932a8b6","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RT","submitted_at":"2015-12-01T01:38:37Z","title_canon_sha256":"f7d7b1da5122e1f4c99ef69c2b368345bc1bd928c0883fa7dbd3e2e3e1e232fa"},"schema_version":"1.0","source":{"id":"1512.00116","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1512.00116","created_at":"2026-05-18T00:33:53Z"},{"alias_kind":"arxiv_version","alias_value":"1512.00116v3","created_at":"2026-05-18T00:33:53Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1512.00116","created_at":"2026-05-18T00:33:53Z"},{"alias_kind":"pith_short_12","alias_value":"BIV5X6YXBNFA","created_at":"2026-05-18T12:29:14Z"},{"alias_kind":"pith_short_16","alias_value":"BIV5X6YXBNFANDZL","created_at":"2026-05-18T12:29:14Z"},{"alias_kind":"pith_short_8","alias_value":"BIV5X6YX","created_at":"2026-05-18T12:29:14Z"}],"graph_snapshots":[{"event_id":"sha256:796311e53048abfaf00548a8469f37f0e908b4d9c12eb969ba961e2965d5c513","target":"graph","created_at":"2026-05-18T00:33:53Z","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":"For the BGG category of $\\mathfrak{q}(n)$-modules of half-integer weights, a Kazhdan-Lusztig conjecture \\`a la Brundan is formulated in terms of categorical canonical basis of the $n$th tensor power of the natural representation of the quantum group of type $C$. For the BGG category of $\\mathfrak{q}(n)$-modules of congruent non-integral weights, a Kazhdan-Lusztig conjecture is formulated in terms of canonical basis of a mixed tensor of the natural representation and its dual of the quantum group of type $A$. We also establish a character formula for the finite-dimensional irreducible $\\mathfra","authors_text":"Jae-Hoon Kwon, Shun-Jen Cheng, Weiqiang Wang","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RT","submitted_at":"2015-12-01T01:38:37Z","title":"Character formulae for queer Lie superalgebras and canonical bases of types $A/C$"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1512.00116","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:d4b8e809a59a74327470c7a71bceb2ba282a44f8b5391b84722eb6ad12d3ef6a","target":"record","created_at":"2026-05-18T00:33:53Z","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":"78f7180b31c339ec8d6c2801b97d50edbcad21b88a7fa1b50c5d1f92c932a8b6","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RT","submitted_at":"2015-12-01T01:38:37Z","title_canon_sha256":"f7d7b1da5122e1f4c99ef69c2b368345bc1bd928c0883fa7dbd3e2e3e1e232fa"},"schema_version":"1.0","source":{"id":"1512.00116","kind":"arxiv","version":3}},"canonical_sha256":"0a2bdbfb170b4a068f2b014fe3ecdfba28845e4100913744c6523b7319579d6b","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"0a2bdbfb170b4a068f2b014fe3ecdfba28845e4100913744c6523b7319579d6b","first_computed_at":"2026-05-18T00:33:53.450956Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:33:53.450956Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"27UZvOZl8sFIjZuY27gmuxMKHU3JL8Sordhdg1DKRtzeVUi2Jx4uBGmjrUAvmM1MGQJZ313NX5Sjugumr1eWCw==","signature_status":"signed_v1","signed_at":"2026-05-18T00:33:53.451481Z","signed_message":"canonical_sha256_bytes"},"source_id":"1512.00116","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:d4b8e809a59a74327470c7a71bceb2ba282a44f8b5391b84722eb6ad12d3ef6a","sha256:796311e53048abfaf00548a8469f37f0e908b4d9c12eb969ba961e2965d5c513"],"state_sha256":"a4e1d24ef987e9bee56a466067b1f93162314169eab3e45dd1698ef8b96fa359"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"1Xg/VbZFUTYWsGlVf3UKtenjJB7T/lGqUzoVaNWKp32PCCitqLWZHKSNGs8Ma/iPWlb3UYK/hs53mSt4GzwKAw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-22T16:15:28.643211Z","bundle_sha256":"2a20007d7d2e1fb9a7fa043edc3a217c2c96d3936d7c5952253972913028add6"}}