{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:HSELNOM2XNZAERRNWAZZTCU45H","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":"7d890757ab536f3c1c1e994f5c7f76bdcfddd69f44a2865fdb0d6b18c51143bb","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2018-02-01T18:40:35Z","title_canon_sha256":"ef358c401e0eec2dd9fe867518d6027779ccfebdf046f92c16939356ea6a4ffe"},"schema_version":"1.0","source":{"id":"1802.00427","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1802.00427","created_at":"2026-05-18T00:04:59Z"},{"alias_kind":"arxiv_version","alias_value":"1802.00427v1","created_at":"2026-05-18T00:04:59Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1802.00427","created_at":"2026-05-18T00:04:59Z"},{"alias_kind":"pith_short_12","alias_value":"HSELNOM2XNZA","created_at":"2026-05-18T12:32:28Z"},{"alias_kind":"pith_short_16","alias_value":"HSELNOM2XNZAERRN","created_at":"2026-05-18T12:32:28Z"},{"alias_kind":"pith_short_8","alias_value":"HSELNOM2","created_at":"2026-05-18T12:32:28Z"}],"graph_snapshots":[{"event_id":"sha256:5d581db19399aa7539cfb17d47918959252f7feaf26f27bb99b4e3ac6f2dd2f6","target":"graph","created_at":"2026-05-18T00:04:59Z","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 study the role of boundary conditions on the one loop partition function of ${\\cal N}=2$ chiral multiplet of R-charge $\\Delta$ on $AdS_2\\times S^1$. The chiral multiplet is coupled to a background vector multiplet which preserves supersymmetry. We implement normalizable boundary conditions in $AdS_2$ and develop the Green's function method to obtain the one loop determinant. We evaluate the one loop determinant for two different actions: the standard action and the $Q$-exact deformed positive definite action used for localization. We show that if there exists an integer $n$ in the interval ","authors_text":"Edi Gava, Justin R. David, Kumar Narain, Rajesh Kumar Gupta","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2018-02-01T18:40:35Z","title":"Boundary Conditions and Localization on AdS: Part 1"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1802.00427","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":"sha256:14d8eb8116496e8e73d58d6067c5868d99a01066966e6c7d3f8a734903d0a2c4","target":"record","created_at":"2026-05-18T00:04:59Z","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":"7d890757ab536f3c1c1e994f5c7f76bdcfddd69f44a2865fdb0d6b18c51143bb","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2018-02-01T18:40:35Z","title_canon_sha256":"ef358c401e0eec2dd9fe867518d6027779ccfebdf046f92c16939356ea6a4ffe"},"schema_version":"1.0","source":{"id":"1802.00427","kind":"arxiv","version":1}},"canonical_sha256":"3c88b6b99abb7202462db033998a9ce9caa9cb52b6cb321c7f11ed4842bb6fba","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"3c88b6b99abb7202462db033998a9ce9caa9cb52b6cb321c7f11ed4842bb6fba","first_computed_at":"2026-05-18T00:04:59.606734Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:04:59.606734Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"HAxid1lXY6O6fEFe6GUJ5rsXSYPBBx41WgrZg1HzfgqdJ6i53w0F7ZQwDoGOfpczJlZ0ES4Eio4rhxeWkYP8Dw==","signature_status":"signed_v1","signed_at":"2026-05-18T00:04:59.607169Z","signed_message":"canonical_sha256_bytes"},"source_id":"1802.00427","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:14d8eb8116496e8e73d58d6067c5868d99a01066966e6c7d3f8a734903d0a2c4","sha256:5d581db19399aa7539cfb17d47918959252f7feaf26f27bb99b4e3ac6f2dd2f6"],"state_sha256":"c74268b261c1bf688a0bbc02deb07feb6003d3d9e4bd3e63fe2b6568d2000e58"}