{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:BG25KLEMDFIQYYRTOURKX34LI5","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":"933eacf73c857e09b8329d923c8d53d5e98266f88c136ab3a1a09a7de2ae1f1d","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2011-01-05T02:43:49Z","title_canon_sha256":"3cff3d96e9763f12b904f03e2348002ed581aa9180e9490fa1159f5f55bb0bd7"},"schema_version":"1.0","source":{"id":"1101.0872","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1101.0872","created_at":"2026-05-18T04:32:01Z"},{"alias_kind":"arxiv_version","alias_value":"1101.0872v1","created_at":"2026-05-18T04:32:01Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1101.0872","created_at":"2026-05-18T04:32:01Z"},{"alias_kind":"pith_short_12","alias_value":"BG25KLEMDFIQ","created_at":"2026-05-18T12:26:24Z"},{"alias_kind":"pith_short_16","alias_value":"BG25KLEMDFIQYYRT","created_at":"2026-05-18T12:26:24Z"},{"alias_kind":"pith_short_8","alias_value":"BG25KLEM","created_at":"2026-05-18T12:26:24Z"}],"graph_snapshots":[{"event_id":"sha256:011bdce132a756bc5e39219a2a1f6a3b80949e747afe2c384f326ec30c55721f","target":"graph","created_at":"2026-05-18T04:32:01Z","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":"In this article, we study the localizaiton of the partition function of BPS vortices in $\\mathcal{N}=(2,2)$ $U(N)$ super Yang-Mills theory with $N$-flavor on $\\R^2$. The vortex partition function for $\\mathcal{N}=(2,2)$ super Yang-Mills theory is obtained from the one in $\\mathcal{N}=(4,4)$ super Yang-Mills theory by mass deformation. We show that the partition function can be written as $Q$-exact form and integration in the partition functions is localized to the fixed points which are related to $N$-tuple one dimensional partitions of positive integers.","authors_text":"Yutaka Yoshida","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2011-01-05T02:43:49Z","title":"Localization of Vortex Partition Functions in $\\mathcal{N}=(2,2) $ Super Yang-Mills theory"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1101.0872","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:c727067db4f0c799719281311a28284cd06e7cd4d656da1c2fb749120f159f7b","target":"record","created_at":"2026-05-18T04:32:01Z","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":"933eacf73c857e09b8329d923c8d53d5e98266f88c136ab3a1a09a7de2ae1f1d","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2011-01-05T02:43:49Z","title_canon_sha256":"3cff3d96e9763f12b904f03e2348002ed581aa9180e9490fa1159f5f55bb0bd7"},"schema_version":"1.0","source":{"id":"1101.0872","kind":"arxiv","version":1}},"canonical_sha256":"09b5d52c8c19510c62337522abef8b477e82517a066bf78d7ab539be118fd65e","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"09b5d52c8c19510c62337522abef8b477e82517a066bf78d7ab539be118fd65e","first_computed_at":"2026-05-18T04:32:01.288617Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:32:01.288617Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"9tFIPGAYhfX/dz6oOKQ3Bz52DAi1s7WR0SlLDGXYlA1C0W5k131tfKVhqOq7t+d6lO+jH+Fso+ozeTtGY+nRAA==","signature_status":"signed_v1","signed_at":"2026-05-18T04:32:01.289029Z","signed_message":"canonical_sha256_bytes"},"source_id":"1101.0872","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:c727067db4f0c799719281311a28284cd06e7cd4d656da1c2fb749120f159f7b","sha256:011bdce132a756bc5e39219a2a1f6a3b80949e747afe2c384f326ec30c55721f"],"state_sha256":"0c37ffdafe5de229109ee4b1992722c600120db32b12a12a40910906a143763f"}