{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2022:GKRBKT7DMHK26ETVU3FDFQLVQ4","short_pith_number":"pith:GKRBKT7D","canonical_record":{"source":{"id":"2211.02449","kind":"arxiv","version":2},"metadata":{"license":"http://creativecommons.org/publicdomain/zero/1.0/","primary_cat":"hep-th","submitted_at":"2022-11-04T13:35:24Z","cross_cats_sorted":["cond-mat.str-el","gr-qc"],"title_canon_sha256":"b80dbc062681f97e7ad14a5c3d5876967d891cc097c147cb0828d6ec21ce19ec","abstract_canon_sha256":"1423864d92209d5057fb2d2cba305ebf956aa8c8647fde1a935bc64c6efb80f2"},"schema_version":"1.0"},"canonical_sha256":"32a2154fe361d5af1275a6ca32c175873ac69af02e38eb8f3fc7acf2a3622e14","source":{"kind":"arxiv","id":"2211.02449","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2211.02449","created_at":"2026-07-05T05:45:05Z"},{"alias_kind":"arxiv_version","alias_value":"2211.02449v2","created_at":"2026-07-05T05:45:05Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2211.02449","created_at":"2026-07-05T05:45:05Z"},{"alias_kind":"pith_short_12","alias_value":"GKRBKT7DMHK2","created_at":"2026-07-05T05:45:05Z"},{"alias_kind":"pith_short_16","alias_value":"GKRBKT7DMHK26ETV","created_at":"2026-07-05T05:45:05Z"},{"alias_kind":"pith_short_8","alias_value":"GKRBKT7D","created_at":"2026-07-05T05:45:05Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2022:GKRBKT7DMHK26ETVU3FDFQLVQ4","target":"record","payload":{"canonical_record":{"source":{"id":"2211.02449","kind":"arxiv","version":2},"metadata":{"license":"http://creativecommons.org/publicdomain/zero/1.0/","primary_cat":"hep-th","submitted_at":"2022-11-04T13:35:24Z","cross_cats_sorted":["cond-mat.str-el","gr-qc"],"title_canon_sha256":"b80dbc062681f97e7ad14a5c3d5876967d891cc097c147cb0828d6ec21ce19ec","abstract_canon_sha256":"1423864d92209d5057fb2d2cba305ebf956aa8c8647fde1a935bc64c6efb80f2"},"schema_version":"1.0"},"canonical_sha256":"32a2154fe361d5af1275a6ca32c175873ac69af02e38eb8f3fc7acf2a3622e14","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T05:45:05.673950Z","signature_b64":"QUDxx5gHISwKdgs8faFHy46qe2eEWCSS5TE4KKH1I5ttIAcE3fQKrrWOiETJCmeGGdRPiXo5ZVagZLH85ilfDA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"32a2154fe361d5af1275a6ca32c175873ac69af02e38eb8f3fc7acf2a3622e14","last_reissued_at":"2026-07-05T05:45:05.673486Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T05:45:05.673486Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2211.02449","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-05T05:45:05Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"9HAvFpwEruSj/kFM7G0hzwPzGPRfFnZp8/739aoQkWi6eq81wwv9HdTDDYGI/ggpUPhuVs7omaxDyFbc0qKqBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-08T08:50:44.699687Z"},"content_sha256":"9003e78e0206bc3ab40d8760b5812dda98e9fc4e909cde62e4f311db97cf263d","schema_version":"1.0","event_id":"sha256:9003e78e0206bc3ab40d8760b5812dda98e9fc4e909cde62e4f311db97cf263d"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2022:GKRBKT7DMHK26ETVU3FDFQLVQ4","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Exact thermal correlators of holographic $CFT$s","license":"http://creativecommons.org/publicdomain/zero/1.0/","headline":"","cross_cats":["cond-mat.str-el","gr-qc"],"primary_cat":"hep-th","authors_text":"Atanu Bhatta, Taniya Mandal","submitted_at":"2022-11-04T13:35:24Z","abstract_excerpt":"We compute the exact retarded Green's functions in thermal $CFT$s with chemical potential and angular momenta using holography respectively. We consider the field equations satisfied by the quasi-normal modes in both charged and rotating black holes in $AdS$ spacetime and mapped them to the Heun equations by appropriate changes of variables. The AGT correspondence allows us to find the connection formulae among the solutions of the Heun equations near different singularities by using the crossing relations of the five-point correlators in the Liouville $CFT$. The connection formulae associated"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2211.02449","kind":"arxiv","version":2},"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/2211.02449/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":"2026-07-05T05:45:05Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"UlUQrFFzlArPnTB50AAsau2qayoT2UDnojvU0gqOWVfftXfCUQBF2qs7tDlSAAzgL29dqgjlbJAIPshBkUN5BQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-08T08:50:44.700188Z"},"content_sha256":"45df9479cdcb33ad654600053b01f5989f3d1e9078591001099a28ae8db98b13","schema_version":"1.0","event_id":"sha256:45df9479cdcb33ad654600053b01f5989f3d1e9078591001099a28ae8db98b13"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/GKRBKT7DMHK26ETVU3FDFQLVQ4/bundle.json","state_url":"https://pith.science/pith/GKRBKT7DMHK26ETVU3FDFQLVQ4/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/GKRBKT7DMHK26ETVU3FDFQLVQ4/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":"2026-08-08T08:50:44Z","links":{"resolver":"https://pith.science/pith/GKRBKT7DMHK26ETVU3FDFQLVQ4","bundle":"https://pith.science/pith/GKRBKT7DMHK26ETVU3FDFQLVQ4/bundle.json","state":"https://pith.science/pith/GKRBKT7DMHK26ETVU3FDFQLVQ4/state.json","well_known_bundle":"https://pith.science/.well-known/pith/GKRBKT7DMHK26ETVU3FDFQLVQ4/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2022:GKRBKT7DMHK26ETVU3FDFQLVQ4","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":"1423864d92209d5057fb2d2cba305ebf956aa8c8647fde1a935bc64c6efb80f2","cross_cats_sorted":["cond-mat.str-el","gr-qc"],"license":"http://creativecommons.org/publicdomain/zero/1.0/","primary_cat":"hep-th","submitted_at":"2022-11-04T13:35:24Z","title_canon_sha256":"b80dbc062681f97e7ad14a5c3d5876967d891cc097c147cb0828d6ec21ce19ec"},"schema_version":"1.0","source":{"id":"2211.02449","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2211.02449","created_at":"2026-07-05T05:45:05Z"},{"alias_kind":"arxiv_version","alias_value":"2211.02449v2","created_at":"2026-07-05T05:45:05Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2211.02449","created_at":"2026-07-05T05:45:05Z"},{"alias_kind":"pith_short_12","alias_value":"GKRBKT7DMHK2","created_at":"2026-07-05T05:45:05Z"},{"alias_kind":"pith_short_16","alias_value":"GKRBKT7DMHK26ETV","created_at":"2026-07-05T05:45:05Z"},{"alias_kind":"pith_short_8","alias_value":"GKRBKT7D","created_at":"2026-07-05T05:45:05Z"}],"graph_snapshots":[{"event_id":"sha256:45df9479cdcb33ad654600053b01f5989f3d1e9078591001099a28ae8db98b13","target":"graph","created_at":"2026-07-05T05:45:05Z","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/2211.02449/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We compute the exact retarded Green's functions in thermal $CFT$s with chemical potential and angular momenta using holography respectively. We consider the field equations satisfied by the quasi-normal modes in both charged and rotating black holes in $AdS$ spacetime and mapped them to the Heun equations by appropriate changes of variables. The AGT correspondence allows us to find the connection formulae among the solutions of the Heun equations near different singularities by using the crossing relations of the five-point correlators in the Liouville $CFT$. The connection formulae associated","authors_text":"Atanu Bhatta, Taniya Mandal","cross_cats":["cond-mat.str-el","gr-qc"],"headline":"","license":"http://creativecommons.org/publicdomain/zero/1.0/","primary_cat":"hep-th","submitted_at":"2022-11-04T13:35:24Z","title":"Exact thermal correlators of holographic $CFT$s"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2211.02449","kind":"arxiv","version":2},"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":"sha256:9003e78e0206bc3ab40d8760b5812dda98e9fc4e909cde62e4f311db97cf263d","target":"record","created_at":"2026-07-05T05:45:05Z","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":"1423864d92209d5057fb2d2cba305ebf956aa8c8647fde1a935bc64c6efb80f2","cross_cats_sorted":["cond-mat.str-el","gr-qc"],"license":"http://creativecommons.org/publicdomain/zero/1.0/","primary_cat":"hep-th","submitted_at":"2022-11-04T13:35:24Z","title_canon_sha256":"b80dbc062681f97e7ad14a5c3d5876967d891cc097c147cb0828d6ec21ce19ec"},"schema_version":"1.0","source":{"id":"2211.02449","kind":"arxiv","version":2}},"canonical_sha256":"32a2154fe361d5af1275a6ca32c175873ac69af02e38eb8f3fc7acf2a3622e14","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"32a2154fe361d5af1275a6ca32c175873ac69af02e38eb8f3fc7acf2a3622e14","first_computed_at":"2026-07-05T05:45:05.673486Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T05:45:05.673486Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"QUDxx5gHISwKdgs8faFHy46qe2eEWCSS5TE4KKH1I5ttIAcE3fQKrrWOiETJCmeGGdRPiXo5ZVagZLH85ilfDA==","signature_status":"signed_v1","signed_at":"2026-07-05T05:45:05.673950Z","signed_message":"canonical_sha256_bytes"},"source_id":"2211.02449","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:9003e78e0206bc3ab40d8760b5812dda98e9fc4e909cde62e4f311db97cf263d","sha256:45df9479cdcb33ad654600053b01f5989f3d1e9078591001099a28ae8db98b13"],"state_sha256":"41ab77889590fbe0404e388a901b99e6e05106e7dd79de611eef87c63811aabd"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"HvR+hXKGv9yOHcE9l4PhBLkyFQdVXcUvtLMZuLI7ARx71G2adBqOmukVc9BE3d6JgXk72w770F9wwLQ3/mZCDQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-08T08:50:44.704494Z","bundle_sha256":"b3e46b2eead6b95e88a1cd9d3bc894701e6ffab210a285f6aa8988b836e71b19"}}