{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2008:BNGDSHMFWQJZPIEWQUEX7GS37M","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":"a1185edae66ddb3299f4fa7df3a530c1b82610b283386502315ce47687486b67","cross_cats_sorted":["math.AG","math.RT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2008-07-08T16:22:57Z","title_canon_sha256":"35e3e23afa8e2bc9a37eb86077ce397539d05e3e165c22b184e7af67d0be2c74"},"schema_version":"1.0","source":{"id":"0807.1107","kind":"arxiv","version":6}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0807.1107","created_at":"2026-05-18T03:37:20Z"},{"alias_kind":"arxiv_version","alias_value":"0807.1107v6","created_at":"2026-05-18T03:37:20Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0807.1107","created_at":"2026-05-18T03:37:20Z"},{"alias_kind":"pith_short_12","alias_value":"BNGDSHMFWQJZ","created_at":"2026-05-18T12:25:56Z"},{"alias_kind":"pith_short_16","alias_value":"BNGDSHMFWQJZPIEW","created_at":"2026-05-18T12:25:56Z"},{"alias_kind":"pith_short_8","alias_value":"BNGDSHMF","created_at":"2026-05-18T12:25:56Z"}],"graph_snapshots":[{"event_id":"sha256:0b57ab74cf3afacf92763ff62898e1dd16f72c8dc0cadb4ef4ca8dac1ea98bdc","target":"graph","created_at":"2026-05-18T03:37:20Z","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 recent attempt to extend the geometric Langlands duality to affine Kac-Moody groups, has led Braverman and Finkelberg [arXiv:0711.2083] to conjecture a mathematical relation between the intersection cohomology of the moduli space of G-bundles on certain singular complex surfaces, and the integrable representations of the Langlands dual of an associated affine G-algebra, where G is any simply-connected semisimple group. For the A-type groups, where the conjecture has been mathematically verified to a large extent, we show that the relation has a natural physical interpretation in terms of six","authors_text":"Meng-Chwan Tan","cross_cats":["math.AG","math.RT"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2008-07-08T16:22:57Z","title":"Five-Branes in M-Theory and a Two-Dimensional Geometric Langlands Duality"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0807.1107","kind":"arxiv","version":6},"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":"sha256:356c26be0e5320af306249856ecf8789d118cddb53a28e46bcdc7be801743808","target":"record","created_at":"2026-05-18T03:37:20Z","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":"a1185edae66ddb3299f4fa7df3a530c1b82610b283386502315ce47687486b67","cross_cats_sorted":["math.AG","math.RT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2008-07-08T16:22:57Z","title_canon_sha256":"35e3e23afa8e2bc9a37eb86077ce397539d05e3e165c22b184e7af67d0be2c74"},"schema_version":"1.0","source":{"id":"0807.1107","kind":"arxiv","version":6}},"canonical_sha256":"0b4c391d85b41397a09685097f9a5bfb08e2c413615771750d03c4d882e28bee","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"0b4c391d85b41397a09685097f9a5bfb08e2c413615771750d03c4d882e28bee","first_computed_at":"2026-05-18T03:37:20.531366Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:37:20.531366Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"a8aICOFeJigv65OEhlsietjxk/ebv02vmmSEdPz/rINS7rv4lVjTEDYxda1hUJZdVl0OGfVQVxv+3JIjW7c1CQ==","signature_status":"signed_v1","signed_at":"2026-05-18T03:37:20.531991Z","signed_message":"canonical_sha256_bytes"},"source_id":"0807.1107","source_kind":"arxiv","source_version":6}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:356c26be0e5320af306249856ecf8789d118cddb53a28e46bcdc7be801743808","sha256:0b57ab74cf3afacf92763ff62898e1dd16f72c8dc0cadb4ef4ca8dac1ea98bdc"],"state_sha256":"d4d78b188b3a2f018dcda03970f24ed908ab60a07657305f22e698a7bc525458"}