{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:MFQVL4FWZXNCFPUYR7GQWFIHKN","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":"b38d896b20bee5a604518a1e1fce708301afa0538a00201a5c88742a673286eb","cross_cats_sorted":["hep-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2013-05-23T18:38:13Z","title_canon_sha256":"aa71ab9c0f9c799d7c20fa34ecfd9cb037d6f1ed0f88811210d79dd5889c88cd"},"schema_version":"1.0","source":{"id":"1305.5513","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1305.5513","created_at":"2026-05-18T03:13:45Z"},{"alias_kind":"arxiv_version","alias_value":"1305.5513v1","created_at":"2026-05-18T03:13:45Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1305.5513","created_at":"2026-05-18T03:13:45Z"},{"alias_kind":"pith_short_12","alias_value":"MFQVL4FWZXNC","created_at":"2026-05-18T12:27:52Z"},{"alias_kind":"pith_short_16","alias_value":"MFQVL4FWZXNCFPUY","created_at":"2026-05-18T12:27:52Z"},{"alias_kind":"pith_short_8","alias_value":"MFQVL4FW","created_at":"2026-05-18T12:27:52Z"}],"graph_snapshots":[{"event_id":"sha256:51c858a96dedb0e5326547bcaccd28e4a2a7dab1815a6279c1585b653e410a2d","target":"graph","created_at":"2026-05-18T03:13:45Z","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":"Confined scalar fields, either by a mass term or by a mirror-like boundary condition, have unstable modes in the background of a Kerr black hole. Assuming a time dependence as $e^{-i\\omega t}$, the growth time-scale of these unstable modes is set by the inverse of the (positive) imaginary part of the frequency, Im$(\\omega)$, which reaches a maximum value of the order of Im$(\\omega)M\\sim 10^{-5}$, attained for a mirror-like boundary condition, where $M$ is the black hole mass. In this paper we study the minimally coupled Klein-Gordon equation for a charged scalar field in the background of a Re","authors_text":"Carlos A. R. Herdeiro, Helgi Freyr R\\'unarsson, Juan Carlos Degollado","cross_cats":["hep-th"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2013-05-23T18:38:13Z","title":"Rapid growth of superradiant instabilities for charged black holes in a cavity"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1305.5513","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:b2e54b6910f3e5761f6654c19a6380bff886330a258aafbfcf5c85f2c4e0f0b2","target":"record","created_at":"2026-05-18T03:13:45Z","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":"b38d896b20bee5a604518a1e1fce708301afa0538a00201a5c88742a673286eb","cross_cats_sorted":["hep-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2013-05-23T18:38:13Z","title_canon_sha256":"aa71ab9c0f9c799d7c20fa34ecfd9cb037d6f1ed0f88811210d79dd5889c88cd"},"schema_version":"1.0","source":{"id":"1305.5513","kind":"arxiv","version":1}},"canonical_sha256":"616155f0b6cdda22be988fcd0b15075350cc7a7c686ce0529b5e2637e19c6eae","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"616155f0b6cdda22be988fcd0b15075350cc7a7c686ce0529b5e2637e19c6eae","first_computed_at":"2026-05-18T03:13:45.690425Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:13:45.690425Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"eoiLODnu/bfyKGfcFfzlKmePUGiZrxQTjlRO5eoxPSGmsCEuqOhrJwGBcxJOL2QMD+x6HC30h+5Owtf6vwFXBw==","signature_status":"signed_v1","signed_at":"2026-05-18T03:13:45.691128Z","signed_message":"canonical_sha256_bytes"},"source_id":"1305.5513","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:b2e54b6910f3e5761f6654c19a6380bff886330a258aafbfcf5c85f2c4e0f0b2","sha256:51c858a96dedb0e5326547bcaccd28e4a2a7dab1815a6279c1585b653e410a2d"],"state_sha256":"47406c1803a313ccf49d469a957a3c75cd0b6267560590739edf0e3a3610bea2"}