{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2010:PHX4CG3ST23GYJHWJPSLLZ2OKQ","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":"a10c08d3f8bf314dfccd408464348ad8d6054cc4d6bbdb743c253e504d6865ba","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2010-04-12T19:02:56Z","title_canon_sha256":"615f5dfc2724ff0e9d7f9fd76b89e2f348ffed7b5aa4f1f8dba0914a21090c96"},"schema_version":"1.0","source":{"id":"1004.2025","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1004.2025","created_at":"2026-05-18T02:33:34Z"},{"alias_kind":"arxiv_version","alias_value":"1004.2025v2","created_at":"2026-05-18T02:33:34Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1004.2025","created_at":"2026-05-18T02:33:34Z"},{"alias_kind":"pith_short_12","alias_value":"PHX4CG3ST23G","created_at":"2026-05-18T12:26:12Z"},{"alias_kind":"pith_short_16","alias_value":"PHX4CG3ST23GYJHW","created_at":"2026-05-18T12:26:12Z"},{"alias_kind":"pith_short_8","alias_value":"PHX4CG3S","created_at":"2026-05-18T12:26:12Z"}],"graph_snapshots":[{"event_id":"sha256:3ad58614ab042df88eddf576090364d101a3bf94c86db3d9047daaa34b12183f","target":"graph","created_at":"2026-05-18T02:33:34Z","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":"It has recently been argued by Alday et al that the inclusion of surface operators in 4d N=2 SU(2) quiver gauge theories should correspond to insertions of certain degenerate operators in the dual Liouville theory. So far only the insertion of a single surface operator has been treated (in a semi-classical limit). In this paper we study and generalise this  proposal. Our approach relies on the use of topological string theory techniques. On the B-model side we show that the effects of multiple surface operator insertions in 4d N=2 gauge theories can be calculated using the B-model topological ","authors_text":"Can Kozcaz, Niclas Wyllard, Sara Pasquetti","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2010-04-12T19:02:56Z","title":"A & B model approaches to surface operators and Toda theories"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1004.2025","kind":"arxiv","version":2},"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:b8c681cdd71a6fda1bdbbbec66b8c83d886353bb3075461df430eb878f53b269","target":"record","created_at":"2026-05-18T02:33:34Z","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":"a10c08d3f8bf314dfccd408464348ad8d6054cc4d6bbdb743c253e504d6865ba","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2010-04-12T19:02:56Z","title_canon_sha256":"615f5dfc2724ff0e9d7f9fd76b89e2f348ffed7b5aa4f1f8dba0914a21090c96"},"schema_version":"1.0","source":{"id":"1004.2025","kind":"arxiv","version":2}},"canonical_sha256":"79efc11b729eb66c24f64be4b5e74e54050f73f1502d9e5efc458f88ba7cce78","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"79efc11b729eb66c24f64be4b5e74e54050f73f1502d9e5efc458f88ba7cce78","first_computed_at":"2026-05-18T02:33:34.451368Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:33:34.451368Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Zv02WtQVg6JTzmkzN8C6BCe11aMUuLNKc0l/RoY4uauH2EXRAzSFydVgWo5REMOyIuK5/8sWszz80gUNBbNqAA==","signature_status":"signed_v1","signed_at":"2026-05-18T02:33:34.451814Z","signed_message":"canonical_sha256_bytes"},"source_id":"1004.2025","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:b8c681cdd71a6fda1bdbbbec66b8c83d886353bb3075461df430eb878f53b269","sha256:3ad58614ab042df88eddf576090364d101a3bf94c86db3d9047daaa34b12183f"],"state_sha256":"1f6e1b07e73d9b6ce960fe8cceaf2de4dafddbb7950320123c9db9c2dff5f190"}