{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2017:SRZ4AVGQ2TRJB3T7BH4ZK4UNST","short_pith_number":"pith:SRZ4AVGQ","canonical_record":{"source":{"id":"1712.05600","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.QA","submitted_at":"2017-12-15T10:12:22Z","cross_cats_sorted":[],"title_canon_sha256":"91b8c27af4be9bf36996e446c44f1a84253181809c283055d5b871f6022529b0","abstract_canon_sha256":"7ed500018f7f4b3b6c0348c434999ba06b0ee47b5a7985d4404667e49aab2067"},"schema_version":"1.0"},"canonical_sha256":"9473c054d0d4e290ee7f09f995728d94f2263263e154e80a21f120e0514bfdf7","source":{"kind":"arxiv","id":"1712.05600","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1712.05600","created_at":"2026-05-18T00:24:59Z"},{"alias_kind":"arxiv_version","alias_value":"1712.05600v1","created_at":"2026-05-18T00:24:59Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1712.05600","created_at":"2026-05-18T00:24:59Z"},{"alias_kind":"pith_short_12","alias_value":"SRZ4AVGQ2TRJ","created_at":"2026-05-18T12:31:43Z"},{"alias_kind":"pith_short_16","alias_value":"SRZ4AVGQ2TRJB3T7","created_at":"2026-05-18T12:31:43Z"},{"alias_kind":"pith_short_8","alias_value":"SRZ4AVGQ","created_at":"2026-05-18T12:31:43Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2017:SRZ4AVGQ2TRJB3T7BH4ZK4UNST","target":"record","payload":{"canonical_record":{"source":{"id":"1712.05600","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.QA","submitted_at":"2017-12-15T10:12:22Z","cross_cats_sorted":[],"title_canon_sha256":"91b8c27af4be9bf36996e446c44f1a84253181809c283055d5b871f6022529b0","abstract_canon_sha256":"7ed500018f7f4b3b6c0348c434999ba06b0ee47b5a7985d4404667e49aab2067"},"schema_version":"1.0"},"canonical_sha256":"9473c054d0d4e290ee7f09f995728d94f2263263e154e80a21f120e0514bfdf7","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:24:59.303262Z","signature_b64":"E+iX5Xs91hb60WV6+t46RtvDbnkrusfde2Sxd2UAKueUCnhShGRaTjV3WHSHmv2gfjK21lVutGNJFdAlVgizBQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"9473c054d0d4e290ee7f09f995728d94f2263263e154e80a21f120e0514bfdf7","last_reissued_at":"2026-05-18T00:24:59.302825Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:24:59.302825Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1712.05600","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":"2026-05-18T00:24:59Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"XWjU4usHvIIp1iyFhkuSGJeBIhXomkwYMvzFz+6gs3X+GSwcttJMhUgU5kB9qDiQFf55lUpWZeCXTyFRrmChBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-31T06:10:27.669669Z"},"content_sha256":"5367423a5d1504f9fda79d6b228e6a49ed221959ed87fc4e899454da1c90c010","schema_version":"1.0","event_id":"sha256:5367423a5d1504f9fda79d6b228e6a49ed221959ed87fc4e899454da1c90c010"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2017:SRZ4AVGQ2TRJB3T7BH4ZK4UNST","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Capelli identity on multiparameter quantum linear groups","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.QA","authors_text":"Jian Zhang, Naihuan Jing","submitted_at":"2017-12-15T10:12:22Z","abstract_excerpt":"A quantum Capelli identity is given on the multiparameter quantum general linear group based on the $(p_{ij}, u)$-condition. The multiparameter quantum Pfaffian of the $(p_{ij}, u)$-quantum group is also introduced and the transformation under the congruent action is given. Generalization to the multiparameter hyper-Pfaffian and relationship with the quantum minors are also investigated."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1712.05600","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":"2026-05-18T00:24:59Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"+cNFYnjhLDfEmjw2aNUU7rGew26zrUjKqY82WME/fXrWlcDn15RFbRVJ6pKJ/JTKxzZWec+lJXR4xuTnmfXxAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-31T06:10:27.670287Z"},"content_sha256":"834633942adfc82c03c5c93c854c0e9cd2260c1c42ccda33ca5c3d52d5b64174","schema_version":"1.0","event_id":"sha256:834633942adfc82c03c5c93c854c0e9cd2260c1c42ccda33ca5c3d52d5b64174"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/SRZ4AVGQ2TRJB3T7BH4ZK4UNST/bundle.json","state_url":"https://pith.science/pith/SRZ4AVGQ2TRJB3T7BH4ZK4UNST/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/SRZ4AVGQ2TRJB3T7BH4ZK4UNST/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":"2026-05-31T06:10:27Z","links":{"resolver":"https://pith.science/pith/SRZ4AVGQ2TRJB3T7BH4ZK4UNST","bundle":"https://pith.science/pith/SRZ4AVGQ2TRJB3T7BH4ZK4UNST/bundle.json","state":"https://pith.science/pith/SRZ4AVGQ2TRJB3T7BH4ZK4UNST/state.json","well_known_bundle":"https://pith.science/.well-known/pith/SRZ4AVGQ2TRJB3T7BH4ZK4UNST/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:SRZ4AVGQ2TRJB3T7BH4ZK4UNST","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":"7ed500018f7f4b3b6c0348c434999ba06b0ee47b5a7985d4404667e49aab2067","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.QA","submitted_at":"2017-12-15T10:12:22Z","title_canon_sha256":"91b8c27af4be9bf36996e446c44f1a84253181809c283055d5b871f6022529b0"},"schema_version":"1.0","source":{"id":"1712.05600","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1712.05600","created_at":"2026-05-18T00:24:59Z"},{"alias_kind":"arxiv_version","alias_value":"1712.05600v1","created_at":"2026-05-18T00:24:59Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1712.05600","created_at":"2026-05-18T00:24:59Z"},{"alias_kind":"pith_short_12","alias_value":"SRZ4AVGQ2TRJ","created_at":"2026-05-18T12:31:43Z"},{"alias_kind":"pith_short_16","alias_value":"SRZ4AVGQ2TRJB3T7","created_at":"2026-05-18T12:31:43Z"},{"alias_kind":"pith_short_8","alias_value":"SRZ4AVGQ","created_at":"2026-05-18T12:31:43Z"}],"graph_snapshots":[{"event_id":"sha256:834633942adfc82c03c5c93c854c0e9cd2260c1c42ccda33ca5c3d52d5b64174","target":"graph","created_at":"2026-05-18T00:24:59Z","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":"A quantum Capelli identity is given on the multiparameter quantum general linear group based on the $(p_{ij}, u)$-condition. The multiparameter quantum Pfaffian of the $(p_{ij}, u)$-quantum group is also introduced and the transformation under the congruent action is given. Generalization to the multiparameter hyper-Pfaffian and relationship with the quantum minors are also investigated.","authors_text":"Jian Zhang, Naihuan Jing","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.QA","submitted_at":"2017-12-15T10:12:22Z","title":"Capelli identity on multiparameter quantum linear groups"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1712.05600","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":"sha256:5367423a5d1504f9fda79d6b228e6a49ed221959ed87fc4e899454da1c90c010","target":"record","created_at":"2026-05-18T00:24:59Z","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":"7ed500018f7f4b3b6c0348c434999ba06b0ee47b5a7985d4404667e49aab2067","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.QA","submitted_at":"2017-12-15T10:12:22Z","title_canon_sha256":"91b8c27af4be9bf36996e446c44f1a84253181809c283055d5b871f6022529b0"},"schema_version":"1.0","source":{"id":"1712.05600","kind":"arxiv","version":1}},"canonical_sha256":"9473c054d0d4e290ee7f09f995728d94f2263263e154e80a21f120e0514bfdf7","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"9473c054d0d4e290ee7f09f995728d94f2263263e154e80a21f120e0514bfdf7","first_computed_at":"2026-05-18T00:24:59.302825Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:24:59.302825Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"E+iX5Xs91hb60WV6+t46RtvDbnkrusfde2Sxd2UAKueUCnhShGRaTjV3WHSHmv2gfjK21lVutGNJFdAlVgizBQ==","signature_status":"signed_v1","signed_at":"2026-05-18T00:24:59.303262Z","signed_message":"canonical_sha256_bytes"},"source_id":"1712.05600","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:5367423a5d1504f9fda79d6b228e6a49ed221959ed87fc4e899454da1c90c010","sha256:834633942adfc82c03c5c93c854c0e9cd2260c1c42ccda33ca5c3d52d5b64174"],"state_sha256":"b77af37fa435ae41797aaddcc0f7cf44cef80ade1c394427f8b139b794c4b454"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"rWEYevbf9EZG/I4x/iITV84YxmqQ4L2eiMYRdG37eSP7GP5ZonGN5W7wIXXrBcei1GTlqa5m9B2hlT7hiB1cAQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-31T06:10:27.673502Z","bundle_sha256":"64fe9552fa2913e022f600ee6a47e4b8f0f9ab7227ceed95afd60ba6884f9ce5"}}