{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2004:MT4KXVJEWBQSO4GSKU7ZI2Z2QQ","short_pith_number":"pith:MT4KXVJE","canonical_record":{"source":{"id":"hep-th/0402048","kind":"arxiv","version":3},"metadata":{"license":"","primary_cat":"hep-th","submitted_at":"2004-02-05T18:12:35Z","cross_cats_sorted":["gr-qc"],"title_canon_sha256":"6ba7737a80345dd402c039013d230b9166268c1aedd2d2b7c570fa8e074c8224","abstract_canon_sha256":"4b19609c5e8d71454c72368763292fdbfa0e0308c7fa4614f7daae665d67324a"},"schema_version":"1.0"},"canonical_sha256":"64f8abd524b0612770d2553f946b3a84170fd9c29a415c9663891a88a1d99a96","source":{"kind":"arxiv","id":"hep-th/0402048","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"hep-th/0402048","created_at":"2026-05-18T01:08:53Z"},{"alias_kind":"arxiv_version","alias_value":"hep-th/0402048v3","created_at":"2026-05-18T01:08:53Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-th/0402048","created_at":"2026-05-18T01:08:53Z"},{"alias_kind":"pith_short_12","alias_value":"MT4KXVJEWBQS","created_at":"2026-05-18T12:25:52Z"},{"alias_kind":"pith_short_16","alias_value":"MT4KXVJEWBQSO4GS","created_at":"2026-05-18T12:25:52Z"},{"alias_kind":"pith_short_8","alias_value":"MT4KXVJE","created_at":"2026-05-18T12:25:52Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2004:MT4KXVJEWBQSO4GSKU7ZI2Z2QQ","target":"record","payload":{"canonical_record":{"source":{"id":"hep-th/0402048","kind":"arxiv","version":3},"metadata":{"license":"","primary_cat":"hep-th","submitted_at":"2004-02-05T18:12:35Z","cross_cats_sorted":["gr-qc"],"title_canon_sha256":"6ba7737a80345dd402c039013d230b9166268c1aedd2d2b7c570fa8e074c8224","abstract_canon_sha256":"4b19609c5e8d71454c72368763292fdbfa0e0308c7fa4614f7daae665d67324a"},"schema_version":"1.0"},"canonical_sha256":"64f8abd524b0612770d2553f946b3a84170fd9c29a415c9663891a88a1d99a96","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:08:53.547241Z","signature_b64":"J/CRGCAC9lTpdtHaWLauTE5DBtB8+7iwoAXyeGbRjy90bNEfJTt8/+HbcxYHlSPCFYPDYJEEsJaUU6Ip7W27Cw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"64f8abd524b0612770d2553f946b3a84170fd9c29a415c9663891a88a1d99a96","last_reissued_at":"2026-05-18T01:08:53.546780Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:08:53.546780Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"hep-th/0402048","source_version":3,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T01:08:53Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"8jWxuDe2mJSIhMVjB5LrasLTn1QE5IYeYmEGKhDkR0KX7577659a7XjfQ+Kqhs6GkbBgIdJ3eMJU7ipvMXssDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-27T15:52:32.072053Z"},"content_sha256":"72383c684b9f9a47bc5230b7f82d6ff2770c5e2e4ad8b9406aaa23652fba8bae","schema_version":"1.0","event_id":"sha256:72383c684b9f9a47bc5230b7f82d6ff2770c5e2e4ad8b9406aaa23652fba8bae"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2004:MT4KXVJEWBQSO4GSKU7ZI2Z2QQ","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Quasinormal Modes of Extremal BTZ Black Hole","license":"","headline":"","cross_cats":["gr-qc"],"primary_cat":"hep-th","authors_text":"Joel Saavedra, Juan Cris\\'ostomo, Samuel Lepe","submitted_at":"2004-02-05T18:12:35Z","abstract_excerpt":"Motivated by several pieces of evidence, in order to show that extreme black holes cannot be obtained as limits of non-extremal black holes, in this article we calculate explicitly quasinormal modes for Ba\\~{n}ados, Teitelboim and Zanelli (BTZ) extremal black hole and we showed that the imaginary part of the frequency is zero. We obtain exact result for the scalar an fermionic perturbations. We also showed that the frequency is bounded from below for the existence of the normal modes (non-dissipative modes)."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-th/0402048","kind":"arxiv","version":3},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"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":"2026-05-18T01:08:53Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Qm28OSMI72QopBUMcSPAbPyrw3kU0U/Ty2OdghzHmNkz9w9PfZYpl1EVST8S/hcXOgfJ+x6jN7zDZZkLQG8VDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-27T15:52:32.072723Z"},"content_sha256":"7e6df2ab590b6aceafa9de3e57c306dd98f35965627dad957696f25d4b4ced18","schema_version":"1.0","event_id":"sha256:7e6df2ab590b6aceafa9de3e57c306dd98f35965627dad957696f25d4b4ced18"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/MT4KXVJEWBQSO4GSKU7ZI2Z2QQ/bundle.json","state_url":"https://pith.science/pith/MT4KXVJEWBQSO4GSKU7ZI2Z2QQ/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/MT4KXVJEWBQSO4GSKU7ZI2Z2QQ/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":"2026-05-27T15:52:32Z","links":{"resolver":"https://pith.science/pith/MT4KXVJEWBQSO4GSKU7ZI2Z2QQ","bundle":"https://pith.science/pith/MT4KXVJEWBQSO4GSKU7ZI2Z2QQ/bundle.json","state":"https://pith.science/pith/MT4KXVJEWBQSO4GSKU7ZI2Z2QQ/state.json","well_known_bundle":"https://pith.science/.well-known/pith/MT4KXVJEWBQSO4GSKU7ZI2Z2QQ/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2004:MT4KXVJEWBQSO4GSKU7ZI2Z2QQ","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":"4b19609c5e8d71454c72368763292fdbfa0e0308c7fa4614f7daae665d67324a","cross_cats_sorted":["gr-qc"],"license":"","primary_cat":"hep-th","submitted_at":"2004-02-05T18:12:35Z","title_canon_sha256":"6ba7737a80345dd402c039013d230b9166268c1aedd2d2b7c570fa8e074c8224"},"schema_version":"1.0","source":{"id":"hep-th/0402048","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"hep-th/0402048","created_at":"2026-05-18T01:08:53Z"},{"alias_kind":"arxiv_version","alias_value":"hep-th/0402048v3","created_at":"2026-05-18T01:08:53Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-th/0402048","created_at":"2026-05-18T01:08:53Z"},{"alias_kind":"pith_short_12","alias_value":"MT4KXVJEWBQS","created_at":"2026-05-18T12:25:52Z"},{"alias_kind":"pith_short_16","alias_value":"MT4KXVJEWBQSO4GS","created_at":"2026-05-18T12:25:52Z"},{"alias_kind":"pith_short_8","alias_value":"MT4KXVJE","created_at":"2026-05-18T12:25:52Z"}],"graph_snapshots":[{"event_id":"sha256:7e6df2ab590b6aceafa9de3e57c306dd98f35965627dad957696f25d4b4ced18","target":"graph","created_at":"2026-05-18T01:08:53Z","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":"Motivated by several pieces of evidence, in order to show that extreme black holes cannot be obtained as limits of non-extremal black holes, in this article we calculate explicitly quasinormal modes for Ba\\~{n}ados, Teitelboim and Zanelli (BTZ) extremal black hole and we showed that the imaginary part of the frequency is zero. We obtain exact result for the scalar an fermionic perturbations. We also showed that the frequency is bounded from below for the existence of the normal modes (non-dissipative modes).","authors_text":"Joel Saavedra, Juan Cris\\'ostomo, Samuel Lepe","cross_cats":["gr-qc"],"headline":"","license":"","primary_cat":"hep-th","submitted_at":"2004-02-05T18:12:35Z","title":"Quasinormal Modes of Extremal BTZ Black Hole"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-th/0402048","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":"sha256:72383c684b9f9a47bc5230b7f82d6ff2770c5e2e4ad8b9406aaa23652fba8bae","target":"record","created_at":"2026-05-18T01:08:53Z","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":"4b19609c5e8d71454c72368763292fdbfa0e0308c7fa4614f7daae665d67324a","cross_cats_sorted":["gr-qc"],"license":"","primary_cat":"hep-th","submitted_at":"2004-02-05T18:12:35Z","title_canon_sha256":"6ba7737a80345dd402c039013d230b9166268c1aedd2d2b7c570fa8e074c8224"},"schema_version":"1.0","source":{"id":"hep-th/0402048","kind":"arxiv","version":3}},"canonical_sha256":"64f8abd524b0612770d2553f946b3a84170fd9c29a415c9663891a88a1d99a96","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"64f8abd524b0612770d2553f946b3a84170fd9c29a415c9663891a88a1d99a96","first_computed_at":"2026-05-18T01:08:53.546780Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:08:53.546780Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"J/CRGCAC9lTpdtHaWLauTE5DBtB8+7iwoAXyeGbRjy90bNEfJTt8/+HbcxYHlSPCFYPDYJEEsJaUU6Ip7W27Cw==","signature_status":"signed_v1","signed_at":"2026-05-18T01:08:53.547241Z","signed_message":"canonical_sha256_bytes"},"source_id":"hep-th/0402048","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:72383c684b9f9a47bc5230b7f82d6ff2770c5e2e4ad8b9406aaa23652fba8bae","sha256:7e6df2ab590b6aceafa9de3e57c306dd98f35965627dad957696f25d4b4ced18"],"state_sha256":"5e2e0667064bcee8270aac33ba13097ec7c80bb45b6771af2e4c7396b6026586"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"jnKvAjsTWDx9lPTMD0PlbivuvDPTs/R1hd96KQoadruHHzfMpXrBxdEVVBG+sBGzp43c2yotXQ6daceX+mcuDg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-27T15:52:32.075380Z","bundle_sha256":"6b5c6c0a79d8617edc37efd40dfbc87f9705178d867aae69b5553bc8ac3bdcb3"}}