{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2012:VLXKIKR3YEQY7OWPNRETJ7Q5PN","short_pith_number":"pith:VLXKIKR3","schema_version":"1.0","canonical_sha256":"aaeea42a3bc1218fbacf6c4934fe1d7b568e3d2778c6864b17afc5ffb568c196","source":{"kind":"arxiv","id":"1209.2369","version":2},"attestation_state":"computed","paper":{"title":"A Kolmogorov-Zakharov Spectrum in $AdS$ Gravitational Collapse","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["gr-qc"],"primary_cat":"hep-th","authors_text":"E. L. Rodrigues, H. P. de Oliveira, Leopoldo A. Pando Zayas","submitted_at":"2012-09-11T17:06:55Z","abstract_excerpt":"We study black hole formation during the gravitational collapse of a massless scalar field in asymptotically $AdS_D$ spacetimes for $D=4,5$. We conclude that spherically symmetric gravitational collapse in asymptotically $AdS$ spaces is turbulent and characterized by a Kolmogorov-Zakharov spectrum. Namely, we find that after an initial period of weakly nonlinear evolution, there is a regime where the power spectrum of the Ricci scalar evolves as $\\omega^{-s}$ with the frequency, $\\omega$, and $s\\approx 1.7\\pm 0.1$."},"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":"1209.2369","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2012-09-11T17:06:55Z","cross_cats_sorted":["gr-qc"],"title_canon_sha256":"218ff1d2ba7903afc358ce5b4a882b8cb559b06e4716a3433dd4eb22f871a02b","abstract_canon_sha256":"73390ba749000ec83d3d499cab024ba08129bfa4608dfd6e9b845742df8e0ad8"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:16:27.220796Z","signature_b64":"MEReng6of82SnhjADyvs1Dpdy0f/1IN/SQTNqNMa61LO70+GK9K1zjf/hU4eU82dt0RgGV9ArbMIs+c6EG7VCw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"aaeea42a3bc1218fbacf6c4934fe1d7b568e3d2778c6864b17afc5ffb568c196","last_reissued_at":"2026-05-18T03:16:27.220066Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:16:27.220066Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"A Kolmogorov-Zakharov Spectrum in $AdS$ Gravitational Collapse","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["gr-qc"],"primary_cat":"hep-th","authors_text":"E. L. Rodrigues, H. P. de Oliveira, Leopoldo A. Pando Zayas","submitted_at":"2012-09-11T17:06:55Z","abstract_excerpt":"We study black hole formation during the gravitational collapse of a massless scalar field in asymptotically $AdS_D$ spacetimes for $D=4,5$. We conclude that spherically symmetric gravitational collapse in asymptotically $AdS$ spaces is turbulent and characterized by a Kolmogorov-Zakharov spectrum. Namely, we find that after an initial period of weakly nonlinear evolution, there is a regime where the power spectrum of the Ricci scalar evolves as $\\omega^{-s}$ with the frequency, $\\omega$, and $s\\approx 1.7\\pm 0.1$."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1209.2369","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":"1209.2369","created_at":"2026-05-18T03:16:27.220175+00:00"},{"alias_kind":"arxiv_version","alias_value":"1209.2369v2","created_at":"2026-05-18T03:16:27.220175+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1209.2369","created_at":"2026-05-18T03:16:27.220175+00:00"},{"alias_kind":"pith_short_12","alias_value":"VLXKIKR3YEQY","created_at":"2026-05-18T12:27:25.539911+00:00"},{"alias_kind":"pith_short_16","alias_value":"VLXKIKR3YEQY7OWP","created_at":"2026-05-18T12:27:25.539911+00:00"},{"alias_kind":"pith_short_8","alias_value":"VLXKIKR3","created_at":"2026-05-18T12:27:25.539911+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/VLXKIKR3YEQY7OWPNRETJ7Q5PN","json":"https://pith.science/pith/VLXKIKR3YEQY7OWPNRETJ7Q5PN.json","graph_json":"https://pith.science/api/pith-number/VLXKIKR3YEQY7OWPNRETJ7Q5PN/graph.json","events_json":"https://pith.science/api/pith-number/VLXKIKR3YEQY7OWPNRETJ7Q5PN/events.json","paper":"https://pith.science/paper/VLXKIKR3"},"agent_actions":{"view_html":"https://pith.science/pith/VLXKIKR3YEQY7OWPNRETJ7Q5PN","download_json":"https://pith.science/pith/VLXKIKR3YEQY7OWPNRETJ7Q5PN.json","view_paper":"https://pith.science/paper/VLXKIKR3","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1209.2369&json=true","fetch_graph":"https://pith.science/api/pith-number/VLXKIKR3YEQY7OWPNRETJ7Q5PN/graph.json","fetch_events":"https://pith.science/api/pith-number/VLXKIKR3YEQY7OWPNRETJ7Q5PN/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/VLXKIKR3YEQY7OWPNRETJ7Q5PN/action/timestamp_anchor","attest_storage":"https://pith.science/pith/VLXKIKR3YEQY7OWPNRETJ7Q5PN/action/storage_attestation","attest_author":"https://pith.science/pith/VLXKIKR3YEQY7OWPNRETJ7Q5PN/action/author_attestation","sign_citation":"https://pith.science/pith/VLXKIKR3YEQY7OWPNRETJ7Q5PN/action/citation_signature","submit_replication":"https://pith.science/pith/VLXKIKR3YEQY7OWPNRETJ7Q5PN/action/replication_record"}},"created_at":"2026-05-18T03:16:27.220175+00:00","updated_at":"2026-05-18T03:16:27.220175+00:00"}