{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2020:GI2AM5EYV5AXJYBVOK4DQKU5JY","short_pith_number":"pith:GI2AM5EY","canonical_record":{"source":{"id":"2012.04815","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-th","submitted_at":"2020-12-09T01:36:34Z","cross_cats_sorted":[],"title_canon_sha256":"db4382ca9aadc3706a6e4b2d08f6fe1072b29a3df27a4aca342e73c829d8f945","abstract_canon_sha256":"840217fb13d16eaa8d1dcca51be24d3bcfa5e1f4f9c7fb85e2ce8b724d19d15f"},"schema_version":"1.0"},"canonical_sha256":"3234067498af4174e03572b8382a9d4e27bb5c99012a0c2e1f2be20e97c360d7","source":{"kind":"arxiv","id":"2012.04815","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2012.04815","created_at":"2026-07-05T01:58:15Z"},{"alias_kind":"arxiv_version","alias_value":"2012.04815v1","created_at":"2026-07-05T01:58:15Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2012.04815","created_at":"2026-07-05T01:58:15Z"},{"alias_kind":"pith_short_12","alias_value":"GI2AM5EYV5AX","created_at":"2026-07-05T01:58:15Z"},{"alias_kind":"pith_short_16","alias_value":"GI2AM5EYV5AXJYBV","created_at":"2026-07-05T01:58:15Z"},{"alias_kind":"pith_short_8","alias_value":"GI2AM5EY","created_at":"2026-07-05T01:58:15Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2020:GI2AM5EYV5AXJYBVOK4DQKU5JY","target":"record","payload":{"canonical_record":{"source":{"id":"2012.04815","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-th","submitted_at":"2020-12-09T01:36:34Z","cross_cats_sorted":[],"title_canon_sha256":"db4382ca9aadc3706a6e4b2d08f6fe1072b29a3df27a4aca342e73c829d8f945","abstract_canon_sha256":"840217fb13d16eaa8d1dcca51be24d3bcfa5e1f4f9c7fb85e2ce8b724d19d15f"},"schema_version":"1.0"},"canonical_sha256":"3234067498af4174e03572b8382a9d4e27bb5c99012a0c2e1f2be20e97c360d7","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T01:58:15.441630Z","signature_b64":"tdxP4hHGz6ZbKrCo6wyTIziJzUQDwDDjBQEgvDrFom9wNXUG4WbXDoRqVJg+dA0mwEhgNvyI82Cuke6QHhJVDA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"3234067498af4174e03572b8382a9d4e27bb5c99012a0c2e1f2be20e97c360d7","last_reissued_at":"2026-07-05T01:58:15.441243Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T01:58:15.441243Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2012.04815","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-05T01:58:15Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"6qEqzYyofFoCSfzgWOnDBcc1+Eyy7abW3sJM9Th7hfWRk8BOt806i2LRVYqiPPYELUs20/XHNqH9yHG3KD1eDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-08T07:03:46.780347Z"},"content_sha256":"1082031cdac769bf1222b95db825b299aabf1530f52eb5e86880c8c411821cb1","schema_version":"1.0","event_id":"sha256:1082031cdac769bf1222b95db825b299aabf1530f52eb5e86880c8c411821cb1"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2020:GI2AM5EYV5AXJYBVOK4DQKU5JY","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"From multi-gravitons to Black holes: The role of complex saddles","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"Alejandro Cabo-Bizet","submitted_at":"2020-12-09T01:36:34Z","abstract_excerpt":"By applying the Atiyah-Bott-Berline-Vergne equivariant integration formula upon double dimensional integrals, we find a way to compute the matrix integral representations of $4d$ $\\mathcal{N}=1$ superconformal indices. The final formula allows us to easily extract analytic results in the large-rank expansion of certain theories. As an example, we compute the leading one-loop corrections to the effective action of the known complex saddles in those theories. For a superconformal index of $SU(N)$ $\\mathcal{N}=4$ SYM, we use the equivariant integration formula and the Picard-Lefschetz method to s"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2012.04815","kind":"arxiv","version":1},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2012.04815/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-05T01:58:15Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"iSWyUR8lhIfXTnJkSKURkvFeJCkqllwF1TfFZgbCJp/YrYmAFm6GDZr2jkCpgFuOfJv+gL2AcnK8/sThhf9YBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-08T07:03:46.781003Z"},"content_sha256":"4bb258e79545067b2c9c0b10fba080d195b2b92f504bb4220360e0727746f4df","schema_version":"1.0","event_id":"sha256:4bb258e79545067b2c9c0b10fba080d195b2b92f504bb4220360e0727746f4df"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/GI2AM5EYV5AXJYBVOK4DQKU5JY/bundle.json","state_url":"https://pith.science/pith/GI2AM5EYV5AXJYBVOK4DQKU5JY/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/GI2AM5EYV5AXJYBVOK4DQKU5JY/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-08-08T07:03:46Z","links":{"resolver":"https://pith.science/pith/GI2AM5EYV5AXJYBVOK4DQKU5JY","bundle":"https://pith.science/pith/GI2AM5EYV5AXJYBVOK4DQKU5JY/bundle.json","state":"https://pith.science/pith/GI2AM5EYV5AXJYBVOK4DQKU5JY/state.json","well_known_bundle":"https://pith.science/.well-known/pith/GI2AM5EYV5AXJYBVOK4DQKU5JY/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2020:GI2AM5EYV5AXJYBVOK4DQKU5JY","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":"840217fb13d16eaa8d1dcca51be24d3bcfa5e1f4f9c7fb85e2ce8b724d19d15f","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-th","submitted_at":"2020-12-09T01:36:34Z","title_canon_sha256":"db4382ca9aadc3706a6e4b2d08f6fe1072b29a3df27a4aca342e73c829d8f945"},"schema_version":"1.0","source":{"id":"2012.04815","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2012.04815","created_at":"2026-07-05T01:58:15Z"},{"alias_kind":"arxiv_version","alias_value":"2012.04815v1","created_at":"2026-07-05T01:58:15Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2012.04815","created_at":"2026-07-05T01:58:15Z"},{"alias_kind":"pith_short_12","alias_value":"GI2AM5EYV5AX","created_at":"2026-07-05T01:58:15Z"},{"alias_kind":"pith_short_16","alias_value":"GI2AM5EYV5AXJYBV","created_at":"2026-07-05T01:58:15Z"},{"alias_kind":"pith_short_8","alias_value":"GI2AM5EY","created_at":"2026-07-05T01:58:15Z"}],"graph_snapshots":[{"event_id":"sha256:4bb258e79545067b2c9c0b10fba080d195b2b92f504bb4220360e0727746f4df","target":"graph","created_at":"2026-07-05T01:58:15Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2012.04815/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"By applying the Atiyah-Bott-Berline-Vergne equivariant integration formula upon double dimensional integrals, we find a way to compute the matrix integral representations of $4d$ $\\mathcal{N}=1$ superconformal indices. The final formula allows us to easily extract analytic results in the large-rank expansion of certain theories. As an example, we compute the leading one-loop corrections to the effective action of the known complex saddles in those theories. For a superconformal index of $SU(N)$ $\\mathcal{N}=4$ SYM, we use the equivariant integration formula and the Picard-Lefschetz method to s","authors_text":"Alejandro Cabo-Bizet","cross_cats":[],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-th","submitted_at":"2020-12-09T01:36:34Z","title":"From multi-gravitons to Black holes: The role of complex saddles"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2012.04815","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":"sha256:1082031cdac769bf1222b95db825b299aabf1530f52eb5e86880c8c411821cb1","target":"record","created_at":"2026-07-05T01:58:15Z","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":"840217fb13d16eaa8d1dcca51be24d3bcfa5e1f4f9c7fb85e2ce8b724d19d15f","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-th","submitted_at":"2020-12-09T01:36:34Z","title_canon_sha256":"db4382ca9aadc3706a6e4b2d08f6fe1072b29a3df27a4aca342e73c829d8f945"},"schema_version":"1.0","source":{"id":"2012.04815","kind":"arxiv","version":1}},"canonical_sha256":"3234067498af4174e03572b8382a9d4e27bb5c99012a0c2e1f2be20e97c360d7","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"3234067498af4174e03572b8382a9d4e27bb5c99012a0c2e1f2be20e97c360d7","first_computed_at":"2026-07-05T01:58:15.441243Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T01:58:15.441243Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"tdxP4hHGz6ZbKrCo6wyTIziJzUQDwDDjBQEgvDrFom9wNXUG4WbXDoRqVJg+dA0mwEhgNvyI82Cuke6QHhJVDA==","signature_status":"signed_v1","signed_at":"2026-07-05T01:58:15.441630Z","signed_message":"canonical_sha256_bytes"},"source_id":"2012.04815","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:1082031cdac769bf1222b95db825b299aabf1530f52eb5e86880c8c411821cb1","sha256:4bb258e79545067b2c9c0b10fba080d195b2b92f504bb4220360e0727746f4df"],"state_sha256":"ba88aed398252a01d1b1cec462374d06d28e224f83470e979f84c882efc4efc2"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"vXpShLlXfKEOIA6c1IkGibFOrp4rVeVYvIcx+W36DVFU3HmISF/XDZJE2ro5fA36yDOYMAvvpn5CA5f59NjdBQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-08T07:03:46.786261Z","bundle_sha256":"8cce6830abc28f3890cfaff00627141c6e0f9d8eea750c1d314f109d4b73d58d"}}