{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2019:JCRFJCFSZCIMXKMKBEH3TR7CAZ","short_pith_number":"pith:JCRFJCFS","canonical_record":{"source":{"id":"1908.00806","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2019-08-02T11:11:59Z","cross_cats_sorted":["math.MP","math.RT"],"title_canon_sha256":"d0d9fcebef36db0624cc34957921a2640450f0e7337f27c71cd33eb18ad8dc62","abstract_canon_sha256":"8b8f6ced6296b3d394bc5c0fd1b4581bd8fe27f4d387140b77c61f6b1726f200"},"schema_version":"1.0"},"canonical_sha256":"48a25488b2c890cba98a090fb9c7e2066b5a2d4bed379deac9ebe64d6877ba1d","source":{"kind":"arxiv","id":"1908.00806","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1908.00806","created_at":"2026-07-04T23:51:09Z"},{"alias_kind":"arxiv_version","alias_value":"1908.00806v1","created_at":"2026-07-04T23:51:09Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1908.00806","created_at":"2026-07-04T23:51:09Z"},{"alias_kind":"pith_short_12","alias_value":"JCRFJCFSZCIM","created_at":"2026-07-04T23:51:09Z"},{"alias_kind":"pith_short_16","alias_value":"JCRFJCFSZCIMXKMK","created_at":"2026-07-04T23:51:09Z"},{"alias_kind":"pith_short_8","alias_value":"JCRFJCFS","created_at":"2026-07-04T23:51:09Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2019:JCRFJCFSZCIMXKMKBEH3TR7CAZ","target":"record","payload":{"canonical_record":{"source":{"id":"1908.00806","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2019-08-02T11:11:59Z","cross_cats_sorted":["math.MP","math.RT"],"title_canon_sha256":"d0d9fcebef36db0624cc34957921a2640450f0e7337f27c71cd33eb18ad8dc62","abstract_canon_sha256":"8b8f6ced6296b3d394bc5c0fd1b4581bd8fe27f4d387140b77c61f6b1726f200"},"schema_version":"1.0"},"canonical_sha256":"48a25488b2c890cba98a090fb9c7e2066b5a2d4bed379deac9ebe64d6877ba1d","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-04T23:51:09.650089Z","signature_b64":"bnbbtN/5Lpi9sUqaX7PfZDKYjsEHYE7xCIsRfWgwN38c+kkQ5LeYnUb8jB6er3H8fCFheEFadqYn4aIDW8ILCQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"48a25488b2c890cba98a090fb9c7e2066b5a2d4bed379deac9ebe64d6877ba1d","last_reissued_at":"2026-07-04T23:51:09.649652Z","signature_status":"signed_v1","first_computed_at":"2026-07-04T23:51:09.649652Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1908.00806","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":"2026-07-04T23:51:09Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"icxNujDWDDHXQNC8wS7aKyIY1GNf5hvAuWHP15MqfXmsuyWnxWxwInAoE1QguVGsdX8ajBL14nNgcZaLVS8oCQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-16T14:27:29.754314Z"},"content_sha256":"857a89b57280862e2cc90cb25aff10e8838d5d3f4a3da387443731c96991ce59","schema_version":"1.0","event_id":"sha256:857a89b57280862e2cc90cb25aff10e8838d5d3f4a3da387443731c96991ce59"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2019:JCRFJCFSZCIMXKMKBEH3TR7CAZ","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Macdonald operators and quantum Q-systems for classical types","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.MP","math.RT"],"primary_cat":"math-ph","authors_text":"Philippe Di Francesco, Rinat Kedem","submitted_at":"2019-08-02T11:11:59Z","abstract_excerpt":"We propose solutions of the quantum Q-systems of types $B_N,C_N,D_N$ in terms of $q$-difference operators, generalizing our previous construction for the Q-system of type $A$. The difference operators are interpreted as $q$-Whittaker limits of discrete time evolutions of Macdonald-van Diejen type operators. We conjecture that these new operators act as raising and lowering operators for $q$-Whittaker functions, which are special cases of graded characters of fusion products of KR-modules."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1908.00806","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/1908.00806/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":"2026-07-04T23:51:09Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"jCKyvSXEqVAsu+NjrA2plXiRGdEBYls8ID2HDSICiqs6U/ekzAKhCJf23vBekDFibV2cCMZAgbbzbnwrIfGrAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-16T14:27:29.754807Z"},"content_sha256":"4824c7ed40737de186cb902028230c1d734b8ac40f27399b7302f453f8785caf","schema_version":"1.0","event_id":"sha256:4824c7ed40737de186cb902028230c1d734b8ac40f27399b7302f453f8785caf"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/JCRFJCFSZCIMXKMKBEH3TR7CAZ/bundle.json","state_url":"https://pith.science/pith/JCRFJCFSZCIMXKMKBEH3TR7CAZ/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/JCRFJCFSZCIMXKMKBEH3TR7CAZ/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":"2026-08-16T14:27:29Z","links":{"resolver":"https://pith.science/pith/JCRFJCFSZCIMXKMKBEH3TR7CAZ","bundle":"https://pith.science/pith/JCRFJCFSZCIMXKMKBEH3TR7CAZ/bundle.json","state":"https://pith.science/pith/JCRFJCFSZCIMXKMKBEH3TR7CAZ/state.json","well_known_bundle":"https://pith.science/.well-known/pith/JCRFJCFSZCIMXKMKBEH3TR7CAZ/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2019:JCRFJCFSZCIMXKMKBEH3TR7CAZ","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":"8b8f6ced6296b3d394bc5c0fd1b4581bd8fe27f4d387140b77c61f6b1726f200","cross_cats_sorted":["math.MP","math.RT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2019-08-02T11:11:59Z","title_canon_sha256":"d0d9fcebef36db0624cc34957921a2640450f0e7337f27c71cd33eb18ad8dc62"},"schema_version":"1.0","source":{"id":"1908.00806","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1908.00806","created_at":"2026-07-04T23:51:09Z"},{"alias_kind":"arxiv_version","alias_value":"1908.00806v1","created_at":"2026-07-04T23:51:09Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1908.00806","created_at":"2026-07-04T23:51:09Z"},{"alias_kind":"pith_short_12","alias_value":"JCRFJCFSZCIM","created_at":"2026-07-04T23:51:09Z"},{"alias_kind":"pith_short_16","alias_value":"JCRFJCFSZCIMXKMK","created_at":"2026-07-04T23:51:09Z"},{"alias_kind":"pith_short_8","alias_value":"JCRFJCFS","created_at":"2026-07-04T23:51:09Z"}],"graph_snapshots":[{"event_id":"sha256:4824c7ed40737de186cb902028230c1d734b8ac40f27399b7302f453f8785caf","target":"graph","created_at":"2026-07-04T23:51:09Z","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/1908.00806/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We propose solutions of the quantum Q-systems of types $B_N,C_N,D_N$ in terms of $q$-difference operators, generalizing our previous construction for the Q-system of type $A$. The difference operators are interpreted as $q$-Whittaker limits of discrete time evolutions of Macdonald-van Diejen type operators. We conjecture that these new operators act as raising and lowering operators for $q$-Whittaker functions, which are special cases of graded characters of fusion products of KR-modules.","authors_text":"Philippe Di Francesco, Rinat Kedem","cross_cats":["math.MP","math.RT"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2019-08-02T11:11:59Z","title":"Macdonald operators and quantum Q-systems for classical types"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1908.00806","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":"sha256:857a89b57280862e2cc90cb25aff10e8838d5d3f4a3da387443731c96991ce59","target":"record","created_at":"2026-07-04T23:51:09Z","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":"8b8f6ced6296b3d394bc5c0fd1b4581bd8fe27f4d387140b77c61f6b1726f200","cross_cats_sorted":["math.MP","math.RT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2019-08-02T11:11:59Z","title_canon_sha256":"d0d9fcebef36db0624cc34957921a2640450f0e7337f27c71cd33eb18ad8dc62"},"schema_version":"1.0","source":{"id":"1908.00806","kind":"arxiv","version":1}},"canonical_sha256":"48a25488b2c890cba98a090fb9c7e2066b5a2d4bed379deac9ebe64d6877ba1d","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"48a25488b2c890cba98a090fb9c7e2066b5a2d4bed379deac9ebe64d6877ba1d","first_computed_at":"2026-07-04T23:51:09.649652Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-04T23:51:09.649652Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"bnbbtN/5Lpi9sUqaX7PfZDKYjsEHYE7xCIsRfWgwN38c+kkQ5LeYnUb8jB6er3H8fCFheEFadqYn4aIDW8ILCQ==","signature_status":"signed_v1","signed_at":"2026-07-04T23:51:09.650089Z","signed_message":"canonical_sha256_bytes"},"source_id":"1908.00806","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:857a89b57280862e2cc90cb25aff10e8838d5d3f4a3da387443731c96991ce59","sha256:4824c7ed40737de186cb902028230c1d734b8ac40f27399b7302f453f8785caf"],"state_sha256":"6c1052c18e612e7f2e6ee1a560fbd6720fed42ebc471e38912e0bcf687b1db7c"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"7cN0RErONJqVU9hJ5la0H2C+Fj083d12/xlPH4xHMa4zWjB97wVN9qsPatTtz/HNx6EPAgAe8HLXYExGhD6zDg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-16T14:27:29.760115Z","bundle_sha256":"c081a96b4cc997a4541ab0a352f25e692f1a6c09380cb5c9b3dd1452b4e294bd"}}