{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2009:7QG376NY6SIMG6J5NPNHWFHMKG","short_pith_number":"pith:7QG376NY","canonical_record":{"source":{"id":"0911.5085","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2009-11-26T13:39:28Z","cross_cats_sorted":["gr-qc","math-ph","math.MP"],"title_canon_sha256":"5c8da16ffc45ec9c6ccfce116da6db74c9c60e7a87d5698238c7bfe3a2a39f7c","abstract_canon_sha256":"820d5fc23a3b638ca5d7c6a2f73b73fd6fe3df76f423765daa0b00cb3cf3d4cd"},"schema_version":"1.0"},"canonical_sha256":"fc0dbff9b8f490c3793d6bda7b14ec519da452de8c11d658be001e8543e8d66a","source":{"kind":"arxiv","id":"0911.5085","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0911.5085","created_at":"2026-07-04T17:28:13Z"},{"alias_kind":"arxiv_version","alias_value":"0911.5085v2","created_at":"2026-07-04T17:28:13Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0911.5085","created_at":"2026-07-04T17:28:13Z"},{"alias_kind":"pith_short_12","alias_value":"7QG376NY6SIM","created_at":"2026-07-04T17:28:13Z"},{"alias_kind":"pith_short_16","alias_value":"7QG376NY6SIMG6J5","created_at":"2026-07-04T17:28:13Z"},{"alias_kind":"pith_short_8","alias_value":"7QG376NY","created_at":"2026-07-04T17:28:13Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2009:7QG376NY6SIMG6J5NPNHWFHMKG","target":"record","payload":{"canonical_record":{"source":{"id":"0911.5085","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2009-11-26T13:39:28Z","cross_cats_sorted":["gr-qc","math-ph","math.MP"],"title_canon_sha256":"5c8da16ffc45ec9c6ccfce116da6db74c9c60e7a87d5698238c7bfe3a2a39f7c","abstract_canon_sha256":"820d5fc23a3b638ca5d7c6a2f73b73fd6fe3df76f423765daa0b00cb3cf3d4cd"},"schema_version":"1.0"},"canonical_sha256":"fc0dbff9b8f490c3793d6bda7b14ec519da452de8c11d658be001e8543e8d66a","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-04T17:28:13.228085Z","signature_b64":"8QGSFClOEfSvMHgxDFdEl2RuCBTvlW9SGM6+SqrV1hEO2ImQpSnS+YuljrOSDpAvpOX6uLzqMjC/aAVPm5zsAQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"fc0dbff9b8f490c3793d6bda7b14ec519da452de8c11d658be001e8543e8d66a","last_reissued_at":"2026-07-04T17:28:13.227583Z","signature_status":"signed_v1","first_computed_at":"2026-07-04T17:28:13.227583Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"0911.5085","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":"2026-07-04T17:28:13Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ZGTqFuiuKzC6UG7lGbxVKZsYvK/Yd8Eqzw9KwhhpzAZPwMFNTK1OsZzlXkYJC9vmbPGNbp3YBmis0E4tD+SMBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-14T21:57:02.830517Z"},"content_sha256":"704151f9485e9c980098be5f5eae96b53a96976201e4d766e2a8c0bf726ce670","schema_version":"1.0","event_id":"sha256:704151f9485e9c980098be5f5eae96b53a96976201e4d766e2a8c0bf726ce670"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2009:7QG376NY6SIMG6J5NPNHWFHMKG","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"The Heat Kernel on AdS_3 and its Applications","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["gr-qc","math-ph","math.MP"],"primary_cat":"hep-th","authors_text":"Justin R David, Matthias R Gaberdiel, Rajesh Gopakumar","submitted_at":"2009-11-26T13:39:28Z","abstract_excerpt":"We derive the heat kernel for arbitrary tensor fields on S^3 and (Euclidean) AdS_3 using a group theoretic approach. We use these results to also obtain the heat kernel on certain quotients of these spaces. In particular, we give a simple, explicit expression for the one loop determinant for a field of arbitrary spin s in thermal AdS_3. We apply this to the calculation of the one loop partition function of N=1 supergravity on AdS_3. We find that the answer factorizes into left- and right-moving super Virasoro characters built on the SL(2, C) invariant vacuum, as argued by Maloney and Witten on"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0911.5085","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/0911.5085/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":"2026-07-04T17:28:13Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"UVL+1Bx8p4ZLFVjEDrDHmaqsSHGW9cVQXiPIX/GyX+w0TQ3uS0SP3Wh3XomqeJfOkH7fOsSelgkLexEY1SeuAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-14T21:57:02.831046Z"},"content_sha256":"d91cda3bc56f6e4100315566975419a7ac6e4707c3cda630755bb5cafbdd849f","schema_version":"1.0","event_id":"sha256:d91cda3bc56f6e4100315566975419a7ac6e4707c3cda630755bb5cafbdd849f"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/7QG376NY6SIMG6J5NPNHWFHMKG/bundle.json","state_url":"https://pith.science/pith/7QG376NY6SIMG6J5NPNHWFHMKG/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/7QG376NY6SIMG6J5NPNHWFHMKG/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":"2026-08-14T21:57:02Z","links":{"resolver":"https://pith.science/pith/7QG376NY6SIMG6J5NPNHWFHMKG","bundle":"https://pith.science/pith/7QG376NY6SIMG6J5NPNHWFHMKG/bundle.json","state":"https://pith.science/pith/7QG376NY6SIMG6J5NPNHWFHMKG/state.json","well_known_bundle":"https://pith.science/.well-known/pith/7QG376NY6SIMG6J5NPNHWFHMKG/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2009:7QG376NY6SIMG6J5NPNHWFHMKG","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":"820d5fc23a3b638ca5d7c6a2f73b73fd6fe3df76f423765daa0b00cb3cf3d4cd","cross_cats_sorted":["gr-qc","math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2009-11-26T13:39:28Z","title_canon_sha256":"5c8da16ffc45ec9c6ccfce116da6db74c9c60e7a87d5698238c7bfe3a2a39f7c"},"schema_version":"1.0","source":{"id":"0911.5085","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0911.5085","created_at":"2026-07-04T17:28:13Z"},{"alias_kind":"arxiv_version","alias_value":"0911.5085v2","created_at":"2026-07-04T17:28:13Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0911.5085","created_at":"2026-07-04T17:28:13Z"},{"alias_kind":"pith_short_12","alias_value":"7QG376NY6SIM","created_at":"2026-07-04T17:28:13Z"},{"alias_kind":"pith_short_16","alias_value":"7QG376NY6SIMG6J5","created_at":"2026-07-04T17:28:13Z"},{"alias_kind":"pith_short_8","alias_value":"7QG376NY","created_at":"2026-07-04T17:28:13Z"}],"graph_snapshots":[{"event_id":"sha256:d91cda3bc56f6e4100315566975419a7ac6e4707c3cda630755bb5cafbdd849f","target":"graph","created_at":"2026-07-04T17:28:13Z","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/0911.5085/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We derive the heat kernel for arbitrary tensor fields on S^3 and (Euclidean) AdS_3 using a group theoretic approach. We use these results to also obtain the heat kernel on certain quotients of these spaces. In particular, we give a simple, explicit expression for the one loop determinant for a field of arbitrary spin s in thermal AdS_3. We apply this to the calculation of the one loop partition function of N=1 supergravity on AdS_3. We find that the answer factorizes into left- and right-moving super Virasoro characters built on the SL(2, C) invariant vacuum, as argued by Maloney and Witten on","authors_text":"Justin R David, Matthias R Gaberdiel, Rajesh Gopakumar","cross_cats":["gr-qc","math-ph","math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2009-11-26T13:39:28Z","title":"The Heat Kernel on AdS_3 and its Applications"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0911.5085","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":"sha256:704151f9485e9c980098be5f5eae96b53a96976201e4d766e2a8c0bf726ce670","target":"record","created_at":"2026-07-04T17:28:13Z","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":"820d5fc23a3b638ca5d7c6a2f73b73fd6fe3df76f423765daa0b00cb3cf3d4cd","cross_cats_sorted":["gr-qc","math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2009-11-26T13:39:28Z","title_canon_sha256":"5c8da16ffc45ec9c6ccfce116da6db74c9c60e7a87d5698238c7bfe3a2a39f7c"},"schema_version":"1.0","source":{"id":"0911.5085","kind":"arxiv","version":2}},"canonical_sha256":"fc0dbff9b8f490c3793d6bda7b14ec519da452de8c11d658be001e8543e8d66a","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"fc0dbff9b8f490c3793d6bda7b14ec519da452de8c11d658be001e8543e8d66a","first_computed_at":"2026-07-04T17:28:13.227583Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-04T17:28:13.227583Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"8QGSFClOEfSvMHgxDFdEl2RuCBTvlW9SGM6+SqrV1hEO2ImQpSnS+YuljrOSDpAvpOX6uLzqMjC/aAVPm5zsAQ==","signature_status":"signed_v1","signed_at":"2026-07-04T17:28:13.228085Z","signed_message":"canonical_sha256_bytes"},"source_id":"0911.5085","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:704151f9485e9c980098be5f5eae96b53a96976201e4d766e2a8c0bf726ce670","sha256:d91cda3bc56f6e4100315566975419a7ac6e4707c3cda630755bb5cafbdd849f"],"state_sha256":"1810cc2b619160d6b44c76bdfdffb225050f5f3cdcda13bda8b9521ade0d547c"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"3zAvV4yauaDASrWyUFfrcadpAmoyk7yBEBsgaVBsr20c+d2q5PMv4T/JfAIxSCL0p0+GpuKnzdZKzFO1rt/1CA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-14T21:57:02.837444Z","bundle_sha256":"79e9065158b8430e58449bd7895aaa4f0e856e5e49932afa3ffd174cbeeb09bb"}}