{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2009:HXT3VR6NE56N24DORBLNJVAMLT","short_pith_number":"pith:HXT3VR6N","canonical_record":{"source":{"id":"0902.0447","kind":"arxiv","version":4},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.QA","submitted_at":"2009-02-03T17:07:21Z","cross_cats_sorted":["hep-th","math.RT"],"title_canon_sha256":"df4525663681eee4a3aea983d8f179faf1fabb4733f96c1d835e1ca0fa997be7","abstract_canon_sha256":"1d6d66c20850cb76a09a8673e292def152dbba763f8b37fdb795ca330b2649ba"},"schema_version":"1.0"},"canonical_sha256":"3de7bac7cd277cdd706e8856d4d40c5cc924465390f9771e3ae6421d21733d1e","source":{"kind":"arxiv","id":"0902.0447","version":4},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0902.0447","created_at":"2026-05-18T04:24:04Z"},{"alias_kind":"arxiv_version","alias_value":"0902.0447v4","created_at":"2026-05-18T04:24:04Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0902.0447","created_at":"2026-05-18T04:24:04Z"},{"alias_kind":"pith_short_12","alias_value":"HXT3VR6NE56N","created_at":"2026-05-18T12:25:59Z"},{"alias_kind":"pith_short_16","alias_value":"HXT3VR6NE56N24DO","created_at":"2026-05-18T12:25:59Z"},{"alias_kind":"pith_short_8","alias_value":"HXT3VR6N","created_at":"2026-05-18T12:25:59Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2009:HXT3VR6NE56N24DORBLNJVAMLT","target":"record","payload":{"canonical_record":{"source":{"id":"0902.0447","kind":"arxiv","version":4},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.QA","submitted_at":"2009-02-03T17:07:21Z","cross_cats_sorted":["hep-th","math.RT"],"title_canon_sha256":"df4525663681eee4a3aea983d8f179faf1fabb4733f96c1d835e1ca0fa997be7","abstract_canon_sha256":"1d6d66c20850cb76a09a8673e292def152dbba763f8b37fdb795ca330b2649ba"},"schema_version":"1.0"},"canonical_sha256":"3de7bac7cd277cdd706e8856d4d40c5cc924465390f9771e3ae6421d21733d1e","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:24:04.355052Z","signature_b64":"eNhTiwGNFlRidZop1sZqq44+1Uv9jZpjTHre+Hcl7NXv4mxN+H29yxbgbLpGXeop+qGPkZ47P8WMeVeZAeUtCw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"3de7bac7cd277cdd706e8856d4d40c5cc924465390f9771e3ae6421d21733d1e","last_reissued_at":"2026-05-18T04:24:04.354489Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:24:04.354489Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"0902.0447","source_version":4,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T04:24:04Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"fVwUjCuZOF65dYRGSDb6+l0Yyto4QEOGNBynACg18fBPOPYrkN8OdqlgkB7Wpcm60eIcNmO5BqXlrwRhWtWODw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-27T12:58:22.446746Z"},"content_sha256":"a9ce971c9e0e9dbe2b2f387b9c76c3bd068f9d6e5d76fbcdd6f62ad3f15adc32","schema_version":"1.0","event_id":"sha256:a9ce971c9e0e9dbe2b2f387b9c76c3bd068f9d6e5d76fbcdd6f62ad3f15adc32"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2009:HXT3VR6NE56N24DORBLNJVAMLT","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Langlands duality for finite-dimensional representations of quantum affine algebras","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-th","math.RT"],"primary_cat":"math.QA","authors_text":"David Hernandez, Edward Frenkel","submitted_at":"2009-02-03T17:07:21Z","abstract_excerpt":"We describe a correspondence (or duality) between the q-characters of finite-dimensional representations of a quantum affine algebra and its Langlands dual in the spirit of q-alg/9708006 and 0809.4453. We prove this duality for the Kirillov-Reshetikhin modules and their irreducible tensor products. In the course of the proof we introduce and construct \"interpolating (q,t)-characters\" depending on two parameters which interpolate between the q-characters of a quantum affine algebra and its Langlands dual."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0902.0447","kind":"arxiv","version":4},"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":"2026-05-18T04:24:04Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Ahw4MLsKkRdOudqr4dX46J5PDbbWAopAzVmP010yNd366EnRDhbFt4Enr+Jz5jjVuFQU5xyTQXRZUDZGTQZmBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-27T12:58:22.447422Z"},"content_sha256":"714c075b973f8e27f6ab7c7a34a479b3e275c6758273c1e00c7632fc1fc9015c","schema_version":"1.0","event_id":"sha256:714c075b973f8e27f6ab7c7a34a479b3e275c6758273c1e00c7632fc1fc9015c"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/HXT3VR6NE56N24DORBLNJVAMLT/bundle.json","state_url":"https://pith.science/pith/HXT3VR6NE56N24DORBLNJVAMLT/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/HXT3VR6NE56N24DORBLNJVAMLT/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":"2026-05-27T12:58:22Z","links":{"resolver":"https://pith.science/pith/HXT3VR6NE56N24DORBLNJVAMLT","bundle":"https://pith.science/pith/HXT3VR6NE56N24DORBLNJVAMLT/bundle.json","state":"https://pith.science/pith/HXT3VR6NE56N24DORBLNJVAMLT/state.json","well_known_bundle":"https://pith.science/.well-known/pith/HXT3VR6NE56N24DORBLNJVAMLT/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2009:HXT3VR6NE56N24DORBLNJVAMLT","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":"1d6d66c20850cb76a09a8673e292def152dbba763f8b37fdb795ca330b2649ba","cross_cats_sorted":["hep-th","math.RT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.QA","submitted_at":"2009-02-03T17:07:21Z","title_canon_sha256":"df4525663681eee4a3aea983d8f179faf1fabb4733f96c1d835e1ca0fa997be7"},"schema_version":"1.0","source":{"id":"0902.0447","kind":"arxiv","version":4}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0902.0447","created_at":"2026-05-18T04:24:04Z"},{"alias_kind":"arxiv_version","alias_value":"0902.0447v4","created_at":"2026-05-18T04:24:04Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0902.0447","created_at":"2026-05-18T04:24:04Z"},{"alias_kind":"pith_short_12","alias_value":"HXT3VR6NE56N","created_at":"2026-05-18T12:25:59Z"},{"alias_kind":"pith_short_16","alias_value":"HXT3VR6NE56N24DO","created_at":"2026-05-18T12:25:59Z"},{"alias_kind":"pith_short_8","alias_value":"HXT3VR6N","created_at":"2026-05-18T12:25:59Z"}],"graph_snapshots":[{"event_id":"sha256:714c075b973f8e27f6ab7c7a34a479b3e275c6758273c1e00c7632fc1fc9015c","target":"graph","created_at":"2026-05-18T04:24:04Z","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":"We describe a correspondence (or duality) between the q-characters of finite-dimensional representations of a quantum affine algebra and its Langlands dual in the spirit of q-alg/9708006 and 0809.4453. We prove this duality for the Kirillov-Reshetikhin modules and their irreducible tensor products. In the course of the proof we introduce and construct \"interpolating (q,t)-characters\" depending on two parameters which interpolate between the q-characters of a quantum affine algebra and its Langlands dual.","authors_text":"David Hernandez, Edward Frenkel","cross_cats":["hep-th","math.RT"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.QA","submitted_at":"2009-02-03T17:07:21Z","title":"Langlands duality for finite-dimensional representations of quantum affine algebras"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0902.0447","kind":"arxiv","version":4},"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:a9ce971c9e0e9dbe2b2f387b9c76c3bd068f9d6e5d76fbcdd6f62ad3f15adc32","target":"record","created_at":"2026-05-18T04:24:04Z","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":"1d6d66c20850cb76a09a8673e292def152dbba763f8b37fdb795ca330b2649ba","cross_cats_sorted":["hep-th","math.RT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.QA","submitted_at":"2009-02-03T17:07:21Z","title_canon_sha256":"df4525663681eee4a3aea983d8f179faf1fabb4733f96c1d835e1ca0fa997be7"},"schema_version":"1.0","source":{"id":"0902.0447","kind":"arxiv","version":4}},"canonical_sha256":"3de7bac7cd277cdd706e8856d4d40c5cc924465390f9771e3ae6421d21733d1e","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"3de7bac7cd277cdd706e8856d4d40c5cc924465390f9771e3ae6421d21733d1e","first_computed_at":"2026-05-18T04:24:04.354489Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:24:04.354489Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"eNhTiwGNFlRidZop1sZqq44+1Uv9jZpjTHre+Hcl7NXv4mxN+H29yxbgbLpGXeop+qGPkZ47P8WMeVeZAeUtCw==","signature_status":"signed_v1","signed_at":"2026-05-18T04:24:04.355052Z","signed_message":"canonical_sha256_bytes"},"source_id":"0902.0447","source_kind":"arxiv","source_version":4}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:a9ce971c9e0e9dbe2b2f387b9c76c3bd068f9d6e5d76fbcdd6f62ad3f15adc32","sha256:714c075b973f8e27f6ab7c7a34a479b3e275c6758273c1e00c7632fc1fc9015c"],"state_sha256":"b2f8179ea5e3b43cd2ba754eeb8dc202581844255f4bce7f033e52321fbf2b79"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"p1UMjeCi/PyeuHufGn8Q6ByHIsQHMtVzp48N69XXbuxL7OGo/wo5SrKLsF9Iz8PSEJozmHRl9l4pP0Jq+I9ZBA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-27T12:58:22.450708Z","bundle_sha256":"14c61ed814cf58ae4606a1c15affdf8224f882944acc7924a4b5a81c4fd33173"}}