{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2018:MNZ277SMVI6OQP7XINNXASBJZ5","short_pith_number":"pith:MNZ277SM","canonical_record":{"source":{"id":"1805.10655","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2018-05-27T17:10:38Z","cross_cats_sorted":["hep-th"],"title_canon_sha256":"c9d00d3c74c5594966090a6e34efe420d746bbcb0ad98d9cdeb9f340a8fff235","abstract_canon_sha256":"ca31f345424d1554c371c1ff5ae6aaf52d75f51068faa401c1a395c023ce9f6f"},"schema_version":"1.0"},"canonical_sha256":"6373affe4caa3ce83ff7435b704829cf717cd0d6a44c8894aa9a02fc3e0bccdd","source":{"kind":"arxiv","id":"1805.10655","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1805.10655","created_at":"2026-05-18T00:03:05Z"},{"alias_kind":"arxiv_version","alias_value":"1805.10655v1","created_at":"2026-05-18T00:03:05Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1805.10655","created_at":"2026-05-18T00:03:05Z"},{"alias_kind":"pith_short_12","alias_value":"MNZ277SMVI6O","created_at":"2026-05-18T12:32:37Z"},{"alias_kind":"pith_short_16","alias_value":"MNZ277SMVI6OQP7X","created_at":"2026-05-18T12:32:37Z"},{"alias_kind":"pith_short_8","alias_value":"MNZ277SM","created_at":"2026-05-18T12:32:37Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2018:MNZ277SMVI6OQP7XINNXASBJZ5","target":"record","payload":{"canonical_record":{"source":{"id":"1805.10655","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2018-05-27T17:10:38Z","cross_cats_sorted":["hep-th"],"title_canon_sha256":"c9d00d3c74c5594966090a6e34efe420d746bbcb0ad98d9cdeb9f340a8fff235","abstract_canon_sha256":"ca31f345424d1554c371c1ff5ae6aaf52d75f51068faa401c1a395c023ce9f6f"},"schema_version":"1.0"},"canonical_sha256":"6373affe4caa3ce83ff7435b704829cf717cd0d6a44c8894aa9a02fc3e0bccdd","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:03:05.637769Z","signature_b64":"0jZIOARyEr3LKjdWypkSwRAz/Bo+QqBj5caxbClWZFN507jxJ6UquKfbCUI3/9i++vqqtBW+gNHxMLDpHa+PBQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"6373affe4caa3ce83ff7435b704829cf717cd0d6a44c8894aa9a02fc3e0bccdd","last_reissued_at":"2026-05-18T00:03:05.637206Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:03:05.637206Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1805.10655","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":"2026-05-18T00:03:05Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"9zuieYrG8/tYn2pQwzBoEmKddv0UfWAZLO2IeIwjVvGlcQmZTxPHFatTLN/n8VJLRzAmZkwdfm9vP8QJCQPpCQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-27T21:42:31.003047Z"},"content_sha256":"0e933f5a85ad7eb3fd665a5d6d77f8b3df6cb232ad1dc2f40a1f546923fe0ede","schema_version":"1.0","event_id":"sha256:0e933f5a85ad7eb3fd665a5d6d77f8b3df6cb232ad1dc2f40a1f546923fe0ede"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2018:MNZ277SMVI6OQP7XINNXASBJZ5","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"On Late Time Tails in an Extreme Reissner-Nordstr\\\"om Black Hole: Frequency Domain Analysis","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-th"],"primary_cat":"gr-qc","authors_text":"Amitabh Virmani, Bidisha Chakrabarty, David D. K. Chow, Partha Paul, Srijit Bhattacharjee","submitted_at":"2018-05-27T17:10:38Z","abstract_excerpt":"In this brief note, we revisit the study of the leading order late time decay tails of massless scalar perturbations outside an extreme Reissner-Nordstr\\\"om black hole. Previous authors have analysed this problem in the time domain; we analyse the problem in the frequency domain. We first consider initial perturbations with generic regular behaviour across the horizon on characteristic surfaces. For this set-up, we reproduce some of the previous results of Sela [arXiv:1510.06169] using Fourier methods. Next, we consider related initial data on $t=\\mbox{const}$ hypersurfaces, and present decay "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1805.10655","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":""},"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":"2026-05-18T00:03:05Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"+V/A1MLHri8yFdRiOhDLXXZhVIJUGXrImT/dFgMVBHhm0226jwbv2BWwlcJhoeR+jKx2jKPayaNN7DK+5vE5Aw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-27T21:42:31.003723Z"},"content_sha256":"338a3e3c85fa6f80c0b52ff4dffcee49cbbb54a53527b1706e562722e79a2556","schema_version":"1.0","event_id":"sha256:338a3e3c85fa6f80c0b52ff4dffcee49cbbb54a53527b1706e562722e79a2556"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/MNZ277SMVI6OQP7XINNXASBJZ5/bundle.json","state_url":"https://pith.science/pith/MNZ277SMVI6OQP7XINNXASBJZ5/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/MNZ277SMVI6OQP7XINNXASBJZ5/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":"2026-05-27T21:42:31Z","links":{"resolver":"https://pith.science/pith/MNZ277SMVI6OQP7XINNXASBJZ5","bundle":"https://pith.science/pith/MNZ277SMVI6OQP7XINNXASBJZ5/bundle.json","state":"https://pith.science/pith/MNZ277SMVI6OQP7XINNXASBJZ5/state.json","well_known_bundle":"https://pith.science/.well-known/pith/MNZ277SMVI6OQP7XINNXASBJZ5/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:MNZ277SMVI6OQP7XINNXASBJZ5","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":"ca31f345424d1554c371c1ff5ae6aaf52d75f51068faa401c1a395c023ce9f6f","cross_cats_sorted":["hep-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2018-05-27T17:10:38Z","title_canon_sha256":"c9d00d3c74c5594966090a6e34efe420d746bbcb0ad98d9cdeb9f340a8fff235"},"schema_version":"1.0","source":{"id":"1805.10655","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1805.10655","created_at":"2026-05-18T00:03:05Z"},{"alias_kind":"arxiv_version","alias_value":"1805.10655v1","created_at":"2026-05-18T00:03:05Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1805.10655","created_at":"2026-05-18T00:03:05Z"},{"alias_kind":"pith_short_12","alias_value":"MNZ277SMVI6O","created_at":"2026-05-18T12:32:37Z"},{"alias_kind":"pith_short_16","alias_value":"MNZ277SMVI6OQP7X","created_at":"2026-05-18T12:32:37Z"},{"alias_kind":"pith_short_8","alias_value":"MNZ277SM","created_at":"2026-05-18T12:32:37Z"}],"graph_snapshots":[{"event_id":"sha256:338a3e3c85fa6f80c0b52ff4dffcee49cbbb54a53527b1706e562722e79a2556","target":"graph","created_at":"2026-05-18T00:03:05Z","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"},"paper":{"abstract_excerpt":"In this brief note, we revisit the study of the leading order late time decay tails of massless scalar perturbations outside an extreme Reissner-Nordstr\\\"om black hole. Previous authors have analysed this problem in the time domain; we analyse the problem in the frequency domain. We first consider initial perturbations with generic regular behaviour across the horizon on characteristic surfaces. For this set-up, we reproduce some of the previous results of Sela [arXiv:1510.06169] using Fourier methods. Next, we consider related initial data on $t=\\mbox{const}$ hypersurfaces, and present decay ","authors_text":"Amitabh Virmani, Bidisha Chakrabarty, David D. K. Chow, Partha Paul, Srijit Bhattacharjee","cross_cats":["hep-th"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2018-05-27T17:10:38Z","title":"On Late Time Tails in an Extreme Reissner-Nordstr\\\"om Black Hole: Frequency Domain Analysis"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1805.10655","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":"sha256:0e933f5a85ad7eb3fd665a5d6d77f8b3df6cb232ad1dc2f40a1f546923fe0ede","target":"record","created_at":"2026-05-18T00:03:05Z","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":"ca31f345424d1554c371c1ff5ae6aaf52d75f51068faa401c1a395c023ce9f6f","cross_cats_sorted":["hep-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2018-05-27T17:10:38Z","title_canon_sha256":"c9d00d3c74c5594966090a6e34efe420d746bbcb0ad98d9cdeb9f340a8fff235"},"schema_version":"1.0","source":{"id":"1805.10655","kind":"arxiv","version":1}},"canonical_sha256":"6373affe4caa3ce83ff7435b704829cf717cd0d6a44c8894aa9a02fc3e0bccdd","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"6373affe4caa3ce83ff7435b704829cf717cd0d6a44c8894aa9a02fc3e0bccdd","first_computed_at":"2026-05-18T00:03:05.637206Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:03:05.637206Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"0jZIOARyEr3LKjdWypkSwRAz/Bo+QqBj5caxbClWZFN507jxJ6UquKfbCUI3/9i++vqqtBW+gNHxMLDpHa+PBQ==","signature_status":"signed_v1","signed_at":"2026-05-18T00:03:05.637769Z","signed_message":"canonical_sha256_bytes"},"source_id":"1805.10655","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:0e933f5a85ad7eb3fd665a5d6d77f8b3df6cb232ad1dc2f40a1f546923fe0ede","sha256:338a3e3c85fa6f80c0b52ff4dffcee49cbbb54a53527b1706e562722e79a2556"],"state_sha256":"a48ccadba1c94b6c50dfa19e906377a6da75a43bc6be67dd355dae6134fdc847"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"su+OSakjaoGfoAExDUx6CvCXsZzbjZvho5/LVBxkkBTLhoqMLcnpNWdk3xmL52l/v/e19y1hid/6wDtnGAOJCw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-27T21:42:31.007348Z","bundle_sha256":"b5abfb949389c9c7b04e3d374290393dd677c5e261eaae2d3432eaa8a05aff8f"}}