{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:SEDMXC4LS5PAMDD63OSTEDOLYA","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":"b5a175d1f284ced220afd325bbcefc6d7309a382a4c45f6149a5a5b86d597f3d","cross_cats_sorted":["math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2016-08-09T20:01:51Z","title_canon_sha256":"ffebb0096c29e3beaab236fa38a7e345a79ffbdca9a897825be40463df2351dc"},"schema_version":"1.0","source":{"id":"1608.02966","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1608.02966","created_at":"2026-05-18T00:32:14Z"},{"alias_kind":"arxiv_version","alias_value":"1608.02966v3","created_at":"2026-05-18T00:32:14Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1608.02966","created_at":"2026-05-18T00:32:14Z"},{"alias_kind":"pith_short_12","alias_value":"SEDMXC4LS5PA","created_at":"2026-05-18T12:30:44Z"},{"alias_kind":"pith_short_16","alias_value":"SEDMXC4LS5PAMDD6","created_at":"2026-05-18T12:30:44Z"},{"alias_kind":"pith_short_8","alias_value":"SEDMXC4L","created_at":"2026-05-18T12:30:44Z"}],"graph_snapshots":[{"event_id":"sha256:19031f8481bbe8027fd1a980bc176b9d75f390469b5aee2eba1f0d148f749a35","target":"graph","created_at":"2026-05-18T00:32:14Z","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 give a pedagogical review of the localization of supersymmetric gauge theory on 5d toric Sasaki-Einstein manifolds. We construct the cohomological complex resulting from supersymmetry and consider its natural toric deformations with all equivariant parameters turned on. We also give detailed discussion on how the Sasaki-Einstein geometry permeates every aspect of the calculation, from Killing spinor, vanishing theorems to the index theorems.","authors_text":"Jian Qiu, Maxim Zabzine","cross_cats":["math-ph","math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2016-08-09T20:01:51Z","title":"Review of localization for 5d supersymmetric gauge theories"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1608.02966","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":"sha256:1a42105d5fa982dc440f74be7e2532202f004e5fd43219509a73b1e65d6ebdf7","target":"record","created_at":"2026-05-18T00:32:14Z","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":"b5a175d1f284ced220afd325bbcefc6d7309a382a4c45f6149a5a5b86d597f3d","cross_cats_sorted":["math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2016-08-09T20:01:51Z","title_canon_sha256":"ffebb0096c29e3beaab236fa38a7e345a79ffbdca9a897825be40463df2351dc"},"schema_version":"1.0","source":{"id":"1608.02966","kind":"arxiv","version":3}},"canonical_sha256":"9106cb8b8b975e060c7edba5320dcbc03605ca992a243363844d7a1e8f46f5d3","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"9106cb8b8b975e060c7edba5320dcbc03605ca992a243363844d7a1e8f46f5d3","first_computed_at":"2026-05-18T00:32:14.850656Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:32:14.850656Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"4mN+r0SA8C83hXP28AeAj8C3kgQR2oQGDAzfT5tWuwPf00MF1UE8TKFj9i2ON9XYfa5FCubcIdC15GZz/v3ZDQ==","signature_status":"signed_v1","signed_at":"2026-05-18T00:32:14.851348Z","signed_message":"canonical_sha256_bytes"},"source_id":"1608.02966","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:1a42105d5fa982dc440f74be7e2532202f004e5fd43219509a73b1e65d6ebdf7","sha256:19031f8481bbe8027fd1a980bc176b9d75f390469b5aee2eba1f0d148f749a35"],"state_sha256":"26b457beb4754c62794afcc0e97899bba6be569dfa3df372b02dec53386b711a"}