{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2022:PCNUUQYHTEBXUMHRFC6CZN3ZWL","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":"64df67ff5081d5afcd4ee679cbc28a75bee01408116765a07206be8065c191d6","cross_cats_sorted":["math-ph","math.AP","math.DG","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2022-11-16T20:05:03Z","title_canon_sha256":"4468461a227169e03b5e8bd544ba2f0b355f0a234d4ea15041550aa8c13cd55b"},"schema_version":"1.0","source":{"id":"2211.09182","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2211.09182","created_at":"2026-07-05T05:16:53Z"},{"alias_kind":"arxiv_version","alias_value":"2211.09182v1","created_at":"2026-07-05T05:16:53Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2211.09182","created_at":"2026-07-05T05:16:53Z"},{"alias_kind":"pith_short_12","alias_value":"PCNUUQYHTEBX","created_at":"2026-07-05T05:16:53Z"},{"alias_kind":"pith_short_16","alias_value":"PCNUUQYHTEBXUMHR","created_at":"2026-07-05T05:16:53Z"},{"alias_kind":"pith_short_8","alias_value":"PCNUUQYH","created_at":"2026-07-05T05:16:53Z"}],"graph_snapshots":[{"event_id":"sha256:3a8dad5a83d46eb9a7299249da6590255f473c8e36e97f3b56295be2407d4df6","target":"graph","created_at":"2026-07-05T05:16:53Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2211.09182/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We study the linear stability problem to gravitational and electromagnetic perturbations of the extremal, $ |\\mathcal{Q}|=M, $ Reissner-Nordstr\\\"om spacetime, as a solution to the Einstein-Maxwell equations. Our work uses and extends the framework \\cite{giorgi2019boundedness,giorgie2020boundedness} of Giorgi, and contrary to the subextremal case we prove that instability results hold for a set of gauge invariant quantities along the event horizon $ \\mathcal{H}^+ $. In particular, we prove decay, non-decay, and polynomial blow-up estimates asymptotically along $ \\mathcal{H}^+ $, the exact behav","authors_text":"Marios Antonios Apetroaie","cross_cats":["math-ph","math.AP","math.DG","math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2022-11-16T20:05:03Z","title":"Instability of gravitational and electromagnetic perturbations of extremal Reissner-Nordstr\\\"om spacetime"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2211.09182","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:b283afa9d2e6fac3b64d5ea7c74534be18a146f26c1f1bb2da2285027f9dc4dd","target":"record","created_at":"2026-07-05T05:16:53Z","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":"64df67ff5081d5afcd4ee679cbc28a75bee01408116765a07206be8065c191d6","cross_cats_sorted":["math-ph","math.AP","math.DG","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2022-11-16T20:05:03Z","title_canon_sha256":"4468461a227169e03b5e8bd544ba2f0b355f0a234d4ea15041550aa8c13cd55b"},"schema_version":"1.0","source":{"id":"2211.09182","kind":"arxiv","version":1}},"canonical_sha256":"789b4a430799037a30f128bc2cb779b2c23d21da943fbce2ee1006acb13b9c50","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"789b4a430799037a30f128bc2cb779b2c23d21da943fbce2ee1006acb13b9c50","first_computed_at":"2026-07-05T05:16:53.463419Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T05:16:53.463419Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"KbIjgZvoPaoxuW9HqSiH0XJlwL7Kh/W4syWMnBrKtQpqwYQcK6TOcdl+o7OztKwIeg9IysPcLXFV2Khu38OGCA==","signature_status":"signed_v1","signed_at":"2026-07-05T05:16:53.463900Z","signed_message":"canonical_sha256_bytes"},"source_id":"2211.09182","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:b283afa9d2e6fac3b64d5ea7c74534be18a146f26c1f1bb2da2285027f9dc4dd","sha256:3a8dad5a83d46eb9a7299249da6590255f473c8e36e97f3b56295be2407d4df6"],"state_sha256":"606b6285f4e7632d27e241bd700042bcb948d4ef9603805069f7fc34e17b5577"}