{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:2O4FWJTJ34RXBAVY3A4XJBFTKF","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":"17ebca1b30aa7c788436932c53518027975bdddbfd0d60cc21e2fa4a33182ad6","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2013-05-04T16:50:44Z","title_canon_sha256":"15bf0ad80a864d409d2ac485ecc1e25e52dedc2bdd3e69bd9008b61369b7fab3"},"schema_version":"1.0","source":{"id":"1305.0937","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1305.0937","created_at":"2026-05-18T01:50:12Z"},{"alias_kind":"arxiv_version","alias_value":"1305.0937v3","created_at":"2026-05-18T01:50:12Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1305.0937","created_at":"2026-05-18T01:50:12Z"},{"alias_kind":"pith_short_12","alias_value":"2O4FWJTJ34RX","created_at":"2026-05-18T12:27:32Z"},{"alias_kind":"pith_short_16","alias_value":"2O4FWJTJ34RXBAVY","created_at":"2026-05-18T12:27:32Z"},{"alias_kind":"pith_short_8","alias_value":"2O4FWJTJ","created_at":"2026-05-18T12:27:32Z"}],"graph_snapshots":[{"event_id":"sha256:85bc789924060d77c32443d8efef51918753644ca360e56880c0d5a0c0e76abf","target":"graph","created_at":"2026-05-18T01:50:12Z","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 probe the 3d-3d correspondence for mapping cylinder/torus using the superconformal index. We focus on the case when the fiber is a once-punctured torus (\\Sigma_{1,1}). The corresponding 3d field theories can be realized using duality domain wall theories in 4d N=2* theory. We show that the superconformal indices of the 3d theories are the SL(2,C) Chern-Simons partition function on the mapping cylinder/torus. For the mapping torus, we also consider another realization of the corresponding 3d theory associated with ideal triangulation. The equality between the indices from the two description","authors_text":"Dongmin Gang, Eunkyung Koh, Jaemo Park, Sangmin Lee","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2013-05-04T16:50:44Z","title":"Superconformal Index and 3d-3d Correspondence for Mapping Cylinder/Torus"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1305.0937","kind":"arxiv","version":3},"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:d45e167a17afeba840ea2c077e03659ccf606e43afaf99d35d4266e41b48b1db","target":"record","created_at":"2026-05-18T01:50:12Z","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":"17ebca1b30aa7c788436932c53518027975bdddbfd0d60cc21e2fa4a33182ad6","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2013-05-04T16:50:44Z","title_canon_sha256":"15bf0ad80a864d409d2ac485ecc1e25e52dedc2bdd3e69bd9008b61369b7fab3"},"schema_version":"1.0","source":{"id":"1305.0937","kind":"arxiv","version":3}},"canonical_sha256":"d3b85b2669df237082b8d8397484b3515d0e8e182e2c34a8405675e6567679ed","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"d3b85b2669df237082b8d8397484b3515d0e8e182e2c34a8405675e6567679ed","first_computed_at":"2026-05-18T01:50:12.262796Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:50:12.262796Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"ULKLI6cEcLdHHCQzfuLsEwolg3Ko5xoKiv4l3Jmth38oW20wmiGBKIsG92th+rVkrmoAtXxlHxvBSzy97qvjAg==","signature_status":"signed_v1","signed_at":"2026-05-18T01:50:12.263450Z","signed_message":"canonical_sha256_bytes"},"source_id":"1305.0937","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:d45e167a17afeba840ea2c077e03659ccf606e43afaf99d35d4266e41b48b1db","sha256:85bc789924060d77c32443d8efef51918753644ca360e56880c0d5a0c0e76abf"],"state_sha256":"8125523e08c8b2cff9a8949abc1782a41d6e4dda382cc44196dd64b8b31884cb"}