{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2019:AMQREET4OVZVG7G3NLQJMGUWLK","short_pith_number":"pith:AMQREET4","canonical_record":{"source":{"id":"1903.02279","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2019-03-06T10:05:36Z","cross_cats_sorted":[],"title_canon_sha256":"272ab3f698a7f40ab2fc9d15ab15d9d53a96cdb31da6648358b53fdf15562733","abstract_canon_sha256":"1a9e5f79368d47c887d4c87aeef2d2cf9255442db9008542ca846f49e5e35948"},"schema_version":"1.0"},"canonical_sha256":"032112127c7573537cdb6ae0961a965a885f2978fc468be178f4c7090400827a","source":{"kind":"arxiv","id":"1903.02279","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1903.02279","created_at":"2026-05-17T23:51:56Z"},{"alias_kind":"arxiv_version","alias_value":"1903.02279v1","created_at":"2026-05-17T23:51:56Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1903.02279","created_at":"2026-05-17T23:51:56Z"},{"alias_kind":"pith_short_12","alias_value":"AMQREET4OVZV","created_at":"2026-05-18T12:33:12Z"},{"alias_kind":"pith_short_16","alias_value":"AMQREET4OVZVG7G3","created_at":"2026-05-18T12:33:12Z"},{"alias_kind":"pith_short_8","alias_value":"AMQREET4","created_at":"2026-05-18T12:33:12Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2019:AMQREET4OVZVG7G3NLQJMGUWLK","target":"record","payload":{"canonical_record":{"source":{"id":"1903.02279","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2019-03-06T10:05:36Z","cross_cats_sorted":[],"title_canon_sha256":"272ab3f698a7f40ab2fc9d15ab15d9d53a96cdb31da6648358b53fdf15562733","abstract_canon_sha256":"1a9e5f79368d47c887d4c87aeef2d2cf9255442db9008542ca846f49e5e35948"},"schema_version":"1.0"},"canonical_sha256":"032112127c7573537cdb6ae0961a965a885f2978fc468be178f4c7090400827a","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:51:56.345892Z","signature_b64":"T3kpJLWzhPSqtMCTiThiAaQ5Xu1XrqDMAoGYjlZLd55ReI/9wnY+OrEXBWE/s1zJt5Zenakz6z7QGj/B+BSrBA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"032112127c7573537cdb6ae0961a965a885f2978fc468be178f4c7090400827a","last_reissued_at":"2026-05-17T23:51:56.345425Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:51:56.345425Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1903.02279","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":"2026-05-17T23:51:56Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"rET/4LalqQM4xzgZWoTwTvL8b7oiruADaYr0tNGfDPnWrJ5+lNWyN47pnroEptQ9ZmOKAgACa2nyZ/4JWwEFCQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-25T19:19:52.649732Z"},"content_sha256":"892f10aa2d94fd4ea0e1e81c794db8c8264993bc8d3a382f9362d9b7c0e12d88","schema_version":"1.0","event_id":"sha256:892f10aa2d94fd4ea0e1e81c794db8c8264993bc8d3a382f9362d9b7c0e12d88"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2019:AMQREET4OVZVG7G3NLQJMGUWLK","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Metaplectic Whittaker category and quantum groups : the \"small\" FLE","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AG","authors_text":"D. Gaitsgory, S. Lysenko","submitted_at":"2019-03-06T10:05:36Z","abstract_excerpt":"We prove that the category of Hecke eigensheaves in the metaplectic Whittaker category of the affine Grassmannian is equivalent to the category of modules over the small quantum group. This a step towards proving the FLE: the fundamental local equivalence in the quantum geometric Langlands theory."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1903.02279","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":"2026-05-17T23:51:56Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"cV+xkbjgKK58Bx79WrD0z4NRAJJbRa+6xkGCmhIZNLpkFqFuIPVVMEP56Iv/cw29sG48Q3Nr+XnnZzBdasAuBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-25T19:19:52.653101Z"},"content_sha256":"51403bcb3514d86b62fe843c4e2745f86ff5d2a5258415c33673bc72b27eec15","schema_version":"1.0","event_id":"sha256:51403bcb3514d86b62fe843c4e2745f86ff5d2a5258415c33673bc72b27eec15"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/AMQREET4OVZVG7G3NLQJMGUWLK/bundle.json","state_url":"https://pith.science/pith/AMQREET4OVZVG7G3NLQJMGUWLK/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/AMQREET4OVZVG7G3NLQJMGUWLK/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":"2026-05-25T19:19:52Z","links":{"resolver":"https://pith.science/pith/AMQREET4OVZVG7G3NLQJMGUWLK","bundle":"https://pith.science/pith/AMQREET4OVZVG7G3NLQJMGUWLK/bundle.json","state":"https://pith.science/pith/AMQREET4OVZVG7G3NLQJMGUWLK/state.json","well_known_bundle":"https://pith.science/.well-known/pith/AMQREET4OVZVG7G3NLQJMGUWLK/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2019:AMQREET4OVZVG7G3NLQJMGUWLK","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":"1a9e5f79368d47c887d4c87aeef2d2cf9255442db9008542ca846f49e5e35948","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2019-03-06T10:05:36Z","title_canon_sha256":"272ab3f698a7f40ab2fc9d15ab15d9d53a96cdb31da6648358b53fdf15562733"},"schema_version":"1.0","source":{"id":"1903.02279","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1903.02279","created_at":"2026-05-17T23:51:56Z"},{"alias_kind":"arxiv_version","alias_value":"1903.02279v1","created_at":"2026-05-17T23:51:56Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1903.02279","created_at":"2026-05-17T23:51:56Z"},{"alias_kind":"pith_short_12","alias_value":"AMQREET4OVZV","created_at":"2026-05-18T12:33:12Z"},{"alias_kind":"pith_short_16","alias_value":"AMQREET4OVZVG7G3","created_at":"2026-05-18T12:33:12Z"},{"alias_kind":"pith_short_8","alias_value":"AMQREET4","created_at":"2026-05-18T12:33:12Z"}],"graph_snapshots":[{"event_id":"sha256:51403bcb3514d86b62fe843c4e2745f86ff5d2a5258415c33673bc72b27eec15","target":"graph","created_at":"2026-05-17T23:51:56Z","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 prove that the category of Hecke eigensheaves in the metaplectic Whittaker category of the affine Grassmannian is equivalent to the category of modules over the small quantum group. This a step towards proving the FLE: the fundamental local equivalence in the quantum geometric Langlands theory.","authors_text":"D. Gaitsgory, S. Lysenko","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2019-03-06T10:05:36Z","title":"Metaplectic Whittaker category and quantum groups : the \"small\" FLE"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1903.02279","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":"sha256:892f10aa2d94fd4ea0e1e81c794db8c8264993bc8d3a382f9362d9b7c0e12d88","target":"record","created_at":"2026-05-17T23:51:56Z","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":"1a9e5f79368d47c887d4c87aeef2d2cf9255442db9008542ca846f49e5e35948","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2019-03-06T10:05:36Z","title_canon_sha256":"272ab3f698a7f40ab2fc9d15ab15d9d53a96cdb31da6648358b53fdf15562733"},"schema_version":"1.0","source":{"id":"1903.02279","kind":"arxiv","version":1}},"canonical_sha256":"032112127c7573537cdb6ae0961a965a885f2978fc468be178f4c7090400827a","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"032112127c7573537cdb6ae0961a965a885f2978fc468be178f4c7090400827a","first_computed_at":"2026-05-17T23:51:56.345425Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:51:56.345425Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"T3kpJLWzhPSqtMCTiThiAaQ5Xu1XrqDMAoGYjlZLd55ReI/9wnY+OrEXBWE/s1zJt5Zenakz6z7QGj/B+BSrBA==","signature_status":"signed_v1","signed_at":"2026-05-17T23:51:56.345892Z","signed_message":"canonical_sha256_bytes"},"source_id":"1903.02279","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:892f10aa2d94fd4ea0e1e81c794db8c8264993bc8d3a382f9362d9b7c0e12d88","sha256:51403bcb3514d86b62fe843c4e2745f86ff5d2a5258415c33673bc72b27eec15"],"state_sha256":"32e94885d074c735c2ffa8b35f67cbaa5335dfb8efa0c5e6bd9cf4e4b7339b2f"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"grKPM07oyNUwM/lveDiysYB5mk1MZ6eDoigY2whAk3ASLjGCaDTASddnzIbG72Xw2LAjdFmlVCv2orfVY6x6Ag==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-25T19:19:52.657241Z","bundle_sha256":"979793c7bee053fedb04c4352cda2292f6f6abc8f548ea001b98d40774fba1de"}}