{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2020:D3GXTHTC5CZONGLSMRE47JYB62","short_pith_number":"pith:D3GXTHTC","schema_version":"1.0","canonical_sha256":"1ecd799e62e8b2e699726449cfa701f6b2b002c3100d7a8e4d9cbdd0d25090a9","source":{"kind":"arxiv","id":"2004.00336","version":2},"attestation_state":"computed","paper":{"title":"Spherical electro-vacuum black holes with resonant, scalar $Q$-hair","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-th"],"primary_cat":"gr-qc","authors_text":"Carlos A. R. Herdeiro, Eugen Radu","submitted_at":"2020-04-01T10:56:04Z","abstract_excerpt":"The asymptotically flat, spherical, electro-vacuum black holes (BHs) are shown to support static, spherical configurations of a gauged, self-interacting, scalar field, minimally coupled to the geometry. Considering a $Q$-ball type potential for the scalar field, we dub these configurations $Q$-clouds, in the test field approximation. The clouds exist under a resonance condition, at the threshold of (charged) superradiance. This is similar to the stationary clouds supported by Kerr BHs, which exist for a synchronisation condition, at the threshold of (rotational) superradiance. In contrast with"},"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":"2004.00336","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2020-04-01T10:56:04Z","cross_cats_sorted":["hep-th"],"title_canon_sha256":"62d29842d5691e52deb6f09ae5948b2868cc611b7eb4b587fac601ab087c25bf","abstract_canon_sha256":"3bfa91e593417e70ffc8101ffb7d39bc601b355425be5a79e635d456462da13e"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T01:12:42.282352Z","signature_b64":"m406GpPSMQoFwAOrIePxMy/C2NxqP3m0fEI4YH9eOX8Po74EgAnCcuJdEpdb0f62BGRFko/4Y38t+nqwI50EBA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"1ecd799e62e8b2e699726449cfa701f6b2b002c3100d7a8e4d9cbdd0d25090a9","last_reissued_at":"2026-07-05T01:12:42.281899Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T01:12:42.281899Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Spherical electro-vacuum black holes with resonant, scalar $Q$-hair","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-th"],"primary_cat":"gr-qc","authors_text":"Carlos A. R. Herdeiro, Eugen Radu","submitted_at":"2020-04-01T10:56:04Z","abstract_excerpt":"The asymptotically flat, spherical, electro-vacuum black holes (BHs) are shown to support static, spherical configurations of a gauged, self-interacting, scalar field, minimally coupled to the geometry. Considering a $Q$-ball type potential for the scalar field, we dub these configurations $Q$-clouds, in the test field approximation. The clouds exist under a resonance condition, at the threshold of (charged) superradiance. This is similar to the stationary clouds supported by Kerr BHs, which exist for a synchronisation condition, at the threshold of (rotational) superradiance. In contrast with"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2004.00336","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2004.00336/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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":"2004.00336","created_at":"2026-07-05T01:12:42.281956+00:00"},{"alias_kind":"arxiv_version","alias_value":"2004.00336v2","created_at":"2026-07-05T01:12:42.281956+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2004.00336","created_at":"2026-07-05T01:12:42.281956+00:00"},{"alias_kind":"pith_short_12","alias_value":"D3GXTHTC5CZO","created_at":"2026-07-05T01:12:42.281956+00:00"},{"alias_kind":"pith_short_16","alias_value":"D3GXTHTC5CZONGLS","created_at":"2026-07-05T01:12:42.281956+00:00"},{"alias_kind":"pith_short_8","alias_value":"D3GXTHTC","created_at":"2026-07-05T01:12:42.281956+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":1,"internal_anchor_count":0,"sample":[{"citing_arxiv_id":"2509.20450","citing_title":"Splitting the Gravitational Atom: Instabilities of Black Holes with Synchronized or Resonant Hair","ref_index":54,"is_internal_anchor":false}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/D3GXTHTC5CZONGLSMRE47JYB62","json":"https://pith.science/pith/D3GXTHTC5CZONGLSMRE47JYB62.json","graph_json":"https://pith.science/api/pith-number/D3GXTHTC5CZONGLSMRE47JYB62/graph.json","events_json":"https://pith.science/api/pith-number/D3GXTHTC5CZONGLSMRE47JYB62/events.json","paper":"https://pith.science/paper/D3GXTHTC"},"agent_actions":{"view_html":"https://pith.science/pith/D3GXTHTC5CZONGLSMRE47JYB62","download_json":"https://pith.science/pith/D3GXTHTC5CZONGLSMRE47JYB62.json","view_paper":"https://pith.science/paper/D3GXTHTC","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2004.00336&json=true","fetch_graph":"https://pith.science/api/pith-number/D3GXTHTC5CZONGLSMRE47JYB62/graph.json","fetch_events":"https://pith.science/api/pith-number/D3GXTHTC5CZONGLSMRE47JYB62/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/D3GXTHTC5CZONGLSMRE47JYB62/action/timestamp_anchor","attest_storage":"https://pith.science/pith/D3GXTHTC5CZONGLSMRE47JYB62/action/storage_attestation","attest_author":"https://pith.science/pith/D3GXTHTC5CZONGLSMRE47JYB62/action/author_attestation","sign_citation":"https://pith.science/pith/D3GXTHTC5CZONGLSMRE47JYB62/action/citation_signature","submit_replication":"https://pith.science/pith/D3GXTHTC5CZONGLSMRE47JYB62/action/replication_record"}},"created_at":"2026-07-05T01:12:42.281956+00:00","updated_at":"2026-07-05T01:12:42.281956+00:00"}