{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:LZOWH7TLS52Q7UREVHTHE22PKU","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":"93870c943fd97b2d32485fd36aaef352748cac502c18d15ee93dc8a5d215850e","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2016-11-15T12:24:10Z","title_canon_sha256":"379eb47974bdd242642b35fea2ab42ef50e1509381b53efc04d7762689ce5a37"},"schema_version":"1.0","source":{"id":"1611.04804","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1611.04804","created_at":"2026-05-18T00:38:09Z"},{"alias_kind":"arxiv_version","alias_value":"1611.04804v3","created_at":"2026-05-18T00:38:09Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1611.04804","created_at":"2026-05-18T00:38:09Z"},{"alias_kind":"pith_short_12","alias_value":"LZOWH7TLS52Q","created_at":"2026-05-18T12:30:29Z"},{"alias_kind":"pith_short_16","alias_value":"LZOWH7TLS52Q7URE","created_at":"2026-05-18T12:30:29Z"},{"alias_kind":"pith_short_8","alias_value":"LZOWH7TL","created_at":"2026-05-18T12:30:29Z"}],"graph_snapshots":[{"event_id":"sha256:b1caf9b2783cbce7fb332db5f516f3e1d76e1b8a475e8b539437299e63b4d86c","target":"graph","created_at":"2026-05-18T00:38:09Z","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":"Using localization techniques, we compute the path integral of $N=2$ SUSY gauge theory coupled to matter on the hemisphere $HS^4$, with either Dirichlet or Neumann supersymmetric boundary conditions. The resulting quantities are wave-functions of the theory depending on the boundary data. The one-loop determinant are computed using $SO(4)$ harmonics basis. We solve kernel and co-kernel equations for the relevant differential operators arising from gauge and matter localizing actions. The second method utilizes full $SO(5)$ harmonics to reduce the computation to evaluating $Q_{SUSY}^2$ eigenval","authors_text":"Edi Gava, K.S. Narain, Nouman Muteeb, V. I. Giraldo-Rivera","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2016-11-15T12:24:10Z","title":"N=2 gauge theories on the hemisphere $HS^4$"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1611.04804","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":"sha256:5e91eef62fdc8ad877ca8d0cc2489114ee931aedbd196c38903159c43a2ebd82","target":"record","created_at":"2026-05-18T00:38:09Z","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":"93870c943fd97b2d32485fd36aaef352748cac502c18d15ee93dc8a5d215850e","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2016-11-15T12:24:10Z","title_canon_sha256":"379eb47974bdd242642b35fea2ab42ef50e1509381b53efc04d7762689ce5a37"},"schema_version":"1.0","source":{"id":"1611.04804","kind":"arxiv","version":3}},"canonical_sha256":"5e5d63fe6b97750fd224a9e6726b4f552da1b0fc798b7843b2c13678632aff61","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"5e5d63fe6b97750fd224a9e6726b4f552da1b0fc798b7843b2c13678632aff61","first_computed_at":"2026-05-18T00:38:09.213006Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:38:09.213006Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"o1ujfPLkPEldq1JHJFDwoPqOTkQWIjUUwE6y8BsROHadIr4KMNlT9Ma+jdu18YJ03jh5NBsdFRTEJxLCB+8eDw==","signature_status":"signed_v1","signed_at":"2026-05-18T00:38:09.213485Z","signed_message":"canonical_sha256_bytes"},"source_id":"1611.04804","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:5e91eef62fdc8ad877ca8d0cc2489114ee931aedbd196c38903159c43a2ebd82","sha256:b1caf9b2783cbce7fb332db5f516f3e1d76e1b8a475e8b539437299e63b4d86c"],"state_sha256":"c28f35c61169617b92695c153b0ec1f4d6b8ef91308ec710d0cacd5689217642"}