{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2018:JFCEOC6VRQJXTQ2N7SPYBCRZZ5","short_pith_number":"pith:JFCEOC6V","canonical_record":{"source":{"id":"1807.11194","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.QA","submitted_at":"2018-07-30T07:07:14Z","cross_cats_sorted":[],"title_canon_sha256":"2fbfc48a711651fb924da8c29c93cf4da8fefdce15a7c4a503b9c033b30633cd","abstract_canon_sha256":"a439439e852e1d0b44394bf3e00549f10274b6e19bccdffa304604bd19491be9"},"schema_version":"1.0"},"canonical_sha256":"4944470bd58c1379c34dfc9f808a39cf5ea57268e93ccd53ba562e3968d7d67a","source":{"kind":"arxiv","id":"1807.11194","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1807.11194","created_at":"2026-05-18T00:09:32Z"},{"alias_kind":"arxiv_version","alias_value":"1807.11194v1","created_at":"2026-05-18T00:09:32Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1807.11194","created_at":"2026-05-18T00:09:32Z"},{"alias_kind":"pith_short_12","alias_value":"JFCEOC6VRQJX","created_at":"2026-05-18T12:32:31Z"},{"alias_kind":"pith_short_16","alias_value":"JFCEOC6VRQJXTQ2N","created_at":"2026-05-18T12:32:31Z"},{"alias_kind":"pith_short_8","alias_value":"JFCEOC6V","created_at":"2026-05-18T12:32:31Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2018:JFCEOC6VRQJXTQ2N7SPYBCRZZ5","target":"record","payload":{"canonical_record":{"source":{"id":"1807.11194","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.QA","submitted_at":"2018-07-30T07:07:14Z","cross_cats_sorted":[],"title_canon_sha256":"2fbfc48a711651fb924da8c29c93cf4da8fefdce15a7c4a503b9c033b30633cd","abstract_canon_sha256":"a439439e852e1d0b44394bf3e00549f10274b6e19bccdffa304604bd19491be9"},"schema_version":"1.0"},"canonical_sha256":"4944470bd58c1379c34dfc9f808a39cf5ea57268e93ccd53ba562e3968d7d67a","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:09:32.685030Z","signature_b64":"qErI2q84nbvREXPqywIAn+fEqkPNCoTGg5p9yUM+bihmbSOPFXyHQOn+eemJwVE1c4DXUcKIvP18TVX66HoJDA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"4944470bd58c1379c34dfc9f808a39cf5ea57268e93ccd53ba562e3968d7d67a","last_reissued_at":"2026-05-18T00:09:32.684532Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:09:32.684532Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1807.11194","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":"2026-05-18T00:09:32Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"mxCJknyn4IteA4j/Il3YsnuM+KtOMUcZ8m6hETe1M01TPTk+axKdA0NhqIp8F4HICNIWon2H3p3lb8JiVHgZAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-31T18:14:15.880291Z"},"content_sha256":"3121ec4b720e83427daaf9fb5db0041324efaecc9d1b0917fc6ec7c79f576870","schema_version":"1.0","event_id":"sha256:3121ec4b720e83427daaf9fb5db0041324efaecc9d1b0917fc6ec7c79f576870"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2018:JFCEOC6VRQJXTQ2N7SPYBCRZZ5","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Product formula for the limits of normalized characters of Kirillov-Reshetikhin modules","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.QA","authors_text":"Chul-hee Lee","submitted_at":"2018-07-30T07:07:14Z","abstract_excerpt":"The normalized characters of Kirillov-Reshetikhin modules over a quantum affine algebra have a limit as a formal power series. Mukhin and Young found a conjectural product formula for this limit, which resembles the Weyl denominator formula. We prove this formula except for some cases in type $E_8$ by employing an algebraic relation among these limits, which is a variant of $Q\\widetilde{Q}$-relations."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1807.11194","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":"2026-05-18T00:09:32Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"R6lImbrWO3nGPeEMzqqoJJP6db7nbQKPFEY3fw6rtr6Fh5cLufVUc8bAXqT67wAK2Ax7JdYEMo8kReUjopO2AQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-31T18:14:15.880963Z"},"content_sha256":"403788a2ec3a40d23480fc82e5f23800a49799d44b082f085fe2a57526e18f50","schema_version":"1.0","event_id":"sha256:403788a2ec3a40d23480fc82e5f23800a49799d44b082f085fe2a57526e18f50"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/JFCEOC6VRQJXTQ2N7SPYBCRZZ5/bundle.json","state_url":"https://pith.science/pith/JFCEOC6VRQJXTQ2N7SPYBCRZZ5/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/JFCEOC6VRQJXTQ2N7SPYBCRZZ5/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":"2026-05-31T18:14:15Z","links":{"resolver":"https://pith.science/pith/JFCEOC6VRQJXTQ2N7SPYBCRZZ5","bundle":"https://pith.science/pith/JFCEOC6VRQJXTQ2N7SPYBCRZZ5/bundle.json","state":"https://pith.science/pith/JFCEOC6VRQJXTQ2N7SPYBCRZZ5/state.json","well_known_bundle":"https://pith.science/.well-known/pith/JFCEOC6VRQJXTQ2N7SPYBCRZZ5/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:JFCEOC6VRQJXTQ2N7SPYBCRZZ5","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":"a439439e852e1d0b44394bf3e00549f10274b6e19bccdffa304604bd19491be9","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.QA","submitted_at":"2018-07-30T07:07:14Z","title_canon_sha256":"2fbfc48a711651fb924da8c29c93cf4da8fefdce15a7c4a503b9c033b30633cd"},"schema_version":"1.0","source":{"id":"1807.11194","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1807.11194","created_at":"2026-05-18T00:09:32Z"},{"alias_kind":"arxiv_version","alias_value":"1807.11194v1","created_at":"2026-05-18T00:09:32Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1807.11194","created_at":"2026-05-18T00:09:32Z"},{"alias_kind":"pith_short_12","alias_value":"JFCEOC6VRQJX","created_at":"2026-05-18T12:32:31Z"},{"alias_kind":"pith_short_16","alias_value":"JFCEOC6VRQJXTQ2N","created_at":"2026-05-18T12:32:31Z"},{"alias_kind":"pith_short_8","alias_value":"JFCEOC6V","created_at":"2026-05-18T12:32:31Z"}],"graph_snapshots":[{"event_id":"sha256:403788a2ec3a40d23480fc82e5f23800a49799d44b082f085fe2a57526e18f50","target":"graph","created_at":"2026-05-18T00:09:32Z","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":"The normalized characters of Kirillov-Reshetikhin modules over a quantum affine algebra have a limit as a formal power series. Mukhin and Young found a conjectural product formula for this limit, which resembles the Weyl denominator formula. We prove this formula except for some cases in type $E_8$ by employing an algebraic relation among these limits, which is a variant of $Q\\widetilde{Q}$-relations.","authors_text":"Chul-hee Lee","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.QA","submitted_at":"2018-07-30T07:07:14Z","title":"Product formula for the limits of normalized characters of Kirillov-Reshetikhin modules"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1807.11194","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":"sha256:3121ec4b720e83427daaf9fb5db0041324efaecc9d1b0917fc6ec7c79f576870","target":"record","created_at":"2026-05-18T00:09:32Z","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":"a439439e852e1d0b44394bf3e00549f10274b6e19bccdffa304604bd19491be9","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.QA","submitted_at":"2018-07-30T07:07:14Z","title_canon_sha256":"2fbfc48a711651fb924da8c29c93cf4da8fefdce15a7c4a503b9c033b30633cd"},"schema_version":"1.0","source":{"id":"1807.11194","kind":"arxiv","version":1}},"canonical_sha256":"4944470bd58c1379c34dfc9f808a39cf5ea57268e93ccd53ba562e3968d7d67a","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"4944470bd58c1379c34dfc9f808a39cf5ea57268e93ccd53ba562e3968d7d67a","first_computed_at":"2026-05-18T00:09:32.684532Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:09:32.684532Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"qErI2q84nbvREXPqywIAn+fEqkPNCoTGg5p9yUM+bihmbSOPFXyHQOn+eemJwVE1c4DXUcKIvP18TVX66HoJDA==","signature_status":"signed_v1","signed_at":"2026-05-18T00:09:32.685030Z","signed_message":"canonical_sha256_bytes"},"source_id":"1807.11194","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:3121ec4b720e83427daaf9fb5db0041324efaecc9d1b0917fc6ec7c79f576870","sha256:403788a2ec3a40d23480fc82e5f23800a49799d44b082f085fe2a57526e18f50"],"state_sha256":"1c4ed4193d14fcfac283675185b617af023c4038b2b9e9ccf586bb3ae23339cd"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"6Xjn+NkkkJ0fXqabE66iQ+M/C8e9T2Ly0HFFcfki2p0wacbeGgZu+KvgmHG8RFGZl9Glo3NsRPUhiqOb4/FcBA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-31T18:14:15.884396Z","bundle_sha256":"262c7b879b5a51750dc909fbca9655d2b3f54728b8343de294b36dd80cdf6c78"}}