{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2012:JZJDY5CVGN6WBMHRGJDZOYVRE3","short_pith_number":"pith:JZJDY5CV","schema_version":"1.0","canonical_sha256":"4e523c7455337d60b0f132479762b126f43cf3f2998b710f5ea90a221ff9938c","source":{"kind":"arxiv","id":"1212.2557","version":2},"attestation_state":"computed","paper":{"title":"On the horizon instability of an extreme Reissner-Nordstr\\\"om black hole","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-th"],"primary_cat":"gr-qc","authors_text":"Harvey S. Reall, James Lucietti, Keiju Murata, Norihiro Tanahashi","submitted_at":"2012-12-11T17:49:02Z","abstract_excerpt":"Aretakis has proved that a massless scalar field has an instability at the horizon of an extreme Reissner-Nordstr\\\"om black hole. We show that a similar instability occurs also for a massive scalar field and for coupled linearized gravitational and electromagnetic perturbations. We present numerical results for the late time behaviour of massless and massive scalar fields in the extreme RN background and show that instabilities are present for initial perturbations supported outside the horizon, e.g.\\ an ingoing wavepacket. For a massless scalar we show that the numerical results for the late "},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"1212.2557","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2012-12-11T17:49:02Z","cross_cats_sorted":["hep-th"],"title_canon_sha256":"54ed51f1fce1f9a297e392fb96309ce34846a2713d069f9138c18c8370ebf09c","abstract_canon_sha256":"2ae43d599b5e0c3168af1279d069b2df293971a3aaf91bbdabd0021a5f20940c"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:52:39.987568Z","signature_b64":"FGtI10OsyX/slDy92QAe7/LSGKAi7FGhR0RnVwNsvVCZJN3kJ/Um/Sj1zW+5NTnDFL4LUGdvuc0/4VUIh6QYAw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"4e523c7455337d60b0f132479762b126f43cf3f2998b710f5ea90a221ff9938c","last_reissued_at":"2026-05-18T01:52:39.986948Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:52:39.986948Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"On the horizon instability of an extreme Reissner-Nordstr\\\"om black hole","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-th"],"primary_cat":"gr-qc","authors_text":"Harvey S. Reall, James Lucietti, Keiju Murata, Norihiro Tanahashi","submitted_at":"2012-12-11T17:49:02Z","abstract_excerpt":"Aretakis has proved that a massless scalar field has an instability at the horizon of an extreme Reissner-Nordstr\\\"om black hole. We show that a similar instability occurs also for a massive scalar field and for coupled linearized gravitational and electromagnetic perturbations. We present numerical results for the late time behaviour of massless and massive scalar fields in the extreme RN background and show that instabilities are present for initial perturbations supported outside the horizon, e.g.\\ an ingoing wavepacket. For a massless scalar we show that the numerical results for the late "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1212.2557","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":""},"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"},"aliases":[{"alias_kind":"arxiv","alias_value":"1212.2557","created_at":"2026-05-18T01:52:39.987040+00:00"},{"alias_kind":"arxiv_version","alias_value":"1212.2557v2","created_at":"2026-05-18T01:52:39.987040+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1212.2557","created_at":"2026-05-18T01:52:39.987040+00:00"},{"alias_kind":"pith_short_12","alias_value":"JZJDY5CVGN6W","created_at":"2026-05-18T12:27:11.947152+00:00"},{"alias_kind":"pith_short_16","alias_value":"JZJDY5CVGN6WBMHR","created_at":"2026-05-18T12:27:11.947152+00:00"},{"alias_kind":"pith_short_8","alias_value":"JZJDY5CV","created_at":"2026-05-18T12:27:11.947152+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":1,"internal_anchor_count":0,"sample":[{"citing_arxiv_id":"2604.15260","citing_title":"Taming the Aretakis instability: extremal black holes with multi-degenerate horizons","ref_index":33,"is_internal_anchor":false}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/JZJDY5CVGN6WBMHRGJDZOYVRE3","json":"https://pith.science/pith/JZJDY5CVGN6WBMHRGJDZOYVRE3.json","graph_json":"https://pith.science/api/pith-number/JZJDY5CVGN6WBMHRGJDZOYVRE3/graph.json","events_json":"https://pith.science/api/pith-number/JZJDY5CVGN6WBMHRGJDZOYVRE3/events.json","paper":"https://pith.science/paper/JZJDY5CV"},"agent_actions":{"view_html":"https://pith.science/pith/JZJDY5CVGN6WBMHRGJDZOYVRE3","download_json":"https://pith.science/pith/JZJDY5CVGN6WBMHRGJDZOYVRE3.json","view_paper":"https://pith.science/paper/JZJDY5CV","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1212.2557&json=true","fetch_graph":"https://pith.science/api/pith-number/JZJDY5CVGN6WBMHRGJDZOYVRE3/graph.json","fetch_events":"https://pith.science/api/pith-number/JZJDY5CVGN6WBMHRGJDZOYVRE3/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/JZJDY5CVGN6WBMHRGJDZOYVRE3/action/timestamp_anchor","attest_storage":"https://pith.science/pith/JZJDY5CVGN6WBMHRGJDZOYVRE3/action/storage_attestation","attest_author":"https://pith.science/pith/JZJDY5CVGN6WBMHRGJDZOYVRE3/action/author_attestation","sign_citation":"https://pith.science/pith/JZJDY5CVGN6WBMHRGJDZOYVRE3/action/citation_signature","submit_replication":"https://pith.science/pith/JZJDY5CVGN6WBMHRGJDZOYVRE3/action/replication_record"}},"created_at":"2026-05-18T01:52:39.987040+00:00","updated_at":"2026-05-18T01:52:39.987040+00:00"}