{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2013:MFQVL4FWZXNCFPUYR7GQWFIHKN","short_pith_number":"pith:MFQVL4FW","schema_version":"1.0","canonical_sha256":"616155f0b6cdda22be988fcd0b15075350cc7a7c686ce0529b5e2637e19c6eae","source":{"kind":"arxiv","id":"1305.5513","version":1},"attestation_state":"computed","paper":{"title":"Rapid growth of superradiant instabilities for charged black holes in a cavity","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-th"],"primary_cat":"gr-qc","authors_text":"Carlos A. R. Herdeiro, Helgi Freyr R\\'unarsson, Juan Carlos Degollado","submitted_at":"2013-05-23T18:38:13Z","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"},"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":"1305.5513","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2013-05-23T18:38:13Z","cross_cats_sorted":["hep-th"],"title_canon_sha256":"aa71ab9c0f9c799d7c20fa34ecfd9cb037d6f1ed0f88811210d79dd5889c88cd","abstract_canon_sha256":"b38d896b20bee5a604518a1e1fce708301afa0538a00201a5c88742a673286eb"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:13:45.691128Z","signature_b64":"eoiLODnu/bfyKGfcFfzlKmePUGiZrxQTjlRO5eoxPSGmsCEuqOhrJwGBcxJOL2QMD+x6HC30h+5Owtf6vwFXBw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"616155f0b6cdda22be988fcd0b15075350cc7a7c686ce0529b5e2637e19c6eae","last_reissued_at":"2026-05-18T03:13:45.690425Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:13:45.690425Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Rapid growth of superradiant instabilities for charged black holes in a cavity","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-th"],"primary_cat":"gr-qc","authors_text":"Carlos A. R. Herdeiro, Helgi Freyr R\\'unarsson, Juan Carlos Degollado","submitted_at":"2013-05-23T18:38:13Z","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"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1305.5513","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"},"aliases":[{"alias_kind":"arxiv","alias_value":"1305.5513","created_at":"2026-05-18T03:13:45.690548+00:00"},{"alias_kind":"arxiv_version","alias_value":"1305.5513v1","created_at":"2026-05-18T03:13:45.690548+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1305.5513","created_at":"2026-05-18T03:13:45.690548+00:00"},{"alias_kind":"pith_short_12","alias_value":"MFQVL4FWZXNC","created_at":"2026-05-18T12:27:52.871228+00:00"},{"alias_kind":"pith_short_16","alias_value":"MFQVL4FWZXNCFPUY","created_at":"2026-05-18T12:27:52.871228+00:00"},{"alias_kind":"pith_short_8","alias_value":"MFQVL4FW","created_at":"2026-05-18T12:27:52.871228+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":2,"internal_anchor_count":1,"sample":[{"citing_arxiv_id":"2602.00518","citing_title":"Charged Superradiant Instability of Spherically Symmetric Regular Black Holes in de Sitter Spacetime: Time- and Frequency-Domain Analysis","ref_index":45,"is_internal_anchor":true},{"citing_arxiv_id":"2604.04352","citing_title":"Superradiant Suppression of Non-minimally Coupled Scalar fields for a Rotating Charged dS Black Hole in Conformal Weyl Gravity","ref_index":27,"is_internal_anchor":false}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/MFQVL4FWZXNCFPUYR7GQWFIHKN","json":"https://pith.science/pith/MFQVL4FWZXNCFPUYR7GQWFIHKN.json","graph_json":"https://pith.science/api/pith-number/MFQVL4FWZXNCFPUYR7GQWFIHKN/graph.json","events_json":"https://pith.science/api/pith-number/MFQVL4FWZXNCFPUYR7GQWFIHKN/events.json","paper":"https://pith.science/paper/MFQVL4FW"},"agent_actions":{"view_html":"https://pith.science/pith/MFQVL4FWZXNCFPUYR7GQWFIHKN","download_json":"https://pith.science/pith/MFQVL4FWZXNCFPUYR7GQWFIHKN.json","view_paper":"https://pith.science/paper/MFQVL4FW","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1305.5513&json=true","fetch_graph":"https://pith.science/api/pith-number/MFQVL4FWZXNCFPUYR7GQWFIHKN/graph.json","fetch_events":"https://pith.science/api/pith-number/MFQVL4FWZXNCFPUYR7GQWFIHKN/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/MFQVL4FWZXNCFPUYR7GQWFIHKN/action/timestamp_anchor","attest_storage":"https://pith.science/pith/MFQVL4FWZXNCFPUYR7GQWFIHKN/action/storage_attestation","attest_author":"https://pith.science/pith/MFQVL4FWZXNCFPUYR7GQWFIHKN/action/author_attestation","sign_citation":"https://pith.science/pith/MFQVL4FWZXNCFPUYR7GQWFIHKN/action/citation_signature","submit_replication":"https://pith.science/pith/MFQVL4FWZXNCFPUYR7GQWFIHKN/action/replication_record"}},"created_at":"2026-05-18T03:13:45.690548+00:00","updated_at":"2026-05-18T03:13:45.690548+00:00"}