{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:CYBZUHVDRR6DWZEU7QZ4TN5LZJ","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":"08da13b46ed058e25aa944b93099325c12506d2530b084c1c219e8c2ccc25a0d","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2012-11-26T16:55:34Z","title_canon_sha256":"1e20bab1b8fd3dc424936dba234b156acbe281c2fd39fdd60a1364871c41b281"},"schema_version":"1.0","source":{"id":"1211.6023","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1211.6023","created_at":"2026-05-18T03:15:45Z"},{"alias_kind":"arxiv_version","alias_value":"1211.6023v2","created_at":"2026-05-18T03:15:45Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1211.6023","created_at":"2026-05-18T03:15:45Z"},{"alias_kind":"pith_short_12","alias_value":"CYBZUHVDRR6D","created_at":"2026-05-18T12:27:01Z"},{"alias_kind":"pith_short_16","alias_value":"CYBZUHVDRR6DWZEU","created_at":"2026-05-18T12:27:01Z"},{"alias_kind":"pith_short_8","alias_value":"CYBZUHVD","created_at":"2026-05-18T12:27:01Z"}],"graph_snapshots":[{"event_id":"sha256:f6fd8c9f020ad832df80ae2d8fe744ddffd6270d0177acff2a5db50183cb3b05","target":"graph","created_at":"2026-05-18T03:15:45Z","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 3d superconformal index for general $\\mathcal N=2$ U(N) gauge group with fundamentals and anti-fundmentals with/without Chern-Simons terms is factorized into vortex and anti-vortex partition function. We show that for simple cases, 3d vortex partition function coincides with a suitable topological open string partition function. We provide much more elegant derivation at the index level for $\\mathcal N=2$ Seiberg-like dualities of unitary gauge groups with fundamantal matters and $\\mathcal N=4$ mirror symmetry","authors_text":"Chiung Hwang, Hee-Cheol Kim, Jaemo Park","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2012-11-26T16:55:34Z","title":"Factorization of the 3d superconformal index"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1211.6023","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:a9bd9c757c328b439bf471612221b77c77bf6b5c2f507785322a76b0dbd16119","target":"record","created_at":"2026-05-18T03:15:45Z","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":"08da13b46ed058e25aa944b93099325c12506d2530b084c1c219e8c2ccc25a0d","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2012-11-26T16:55:34Z","title_canon_sha256":"1e20bab1b8fd3dc424936dba234b156acbe281c2fd39fdd60a1364871c41b281"},"schema_version":"1.0","source":{"id":"1211.6023","kind":"arxiv","version":2}},"canonical_sha256":"16039a1ea38c7c3b6494fc33c9b7abca726d811c4aa318bfc5d87f2598f4eb5c","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"16039a1ea38c7c3b6494fc33c9b7abca726d811c4aa318bfc5d87f2598f4eb5c","first_computed_at":"2026-05-18T03:15:45.288618Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:15:45.288618Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"ue3G/vlwW1xUYUWBZie/nYHi9/yL9CMvTSky28MvIfBH9i5XBN+e+NE4ejdCT6eCKrZ9QRe+3zaxti59EGIyAQ==","signature_status":"signed_v1","signed_at":"2026-05-18T03:15:45.289167Z","signed_message":"canonical_sha256_bytes"},"source_id":"1211.6023","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:a9bd9c757c328b439bf471612221b77c77bf6b5c2f507785322a76b0dbd16119","sha256:f6fd8c9f020ad832df80ae2d8fe744ddffd6270d0177acff2a5db50183cb3b05"],"state_sha256":"8b97ceb130f210cfa93b7bdf8e40fd67f176eb0c25e568445bfdf06ba2bf297d"}