{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2018:3FVNW6ALZBMRIKWLKIHPC5P2RC","short_pith_number":"pith:3FVNW6AL","schema_version":"1.0","canonical_sha256":"d96adb780bc859142acb520ef175fa88979f6271455762477425f3b983ff93b7","source":{"kind":"arxiv","id":"1803.08050","version":4},"attestation_state":"computed","paper":{"title":"Onset of Random Matrix Behavior in Scrambling Systems","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.stat-mech","cond-mat.str-el","nlin.CD","quant-ph"],"primary_cat":"hep-th","authors_text":"Hrant Gharibyan, Masaki Tezuka, Masanori Hanada, Stephen H. Shenker","submitted_at":"2018-03-21T18:00:02Z","abstract_excerpt":"The fine grained energy spectrum of quantum chaotic systems is widely believed to be described by random matrix statistics. A basic scale in such a system is the energy range over which this behavior persists. We define the corresponding time scale by the time at which the linearly growing ramp region in the spectral form factor begins. We call this time $t_{\\rm ramp}$. The purpose of this paper is to study this scale in many-body quantum systems that display strong chaos, sometimes called scrambling systems. We focus on randomly coupled qubit systems, both local and $k$-local (all-to-all inte"},"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":"1803.08050","kind":"arxiv","version":4},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2018-03-21T18:00:02Z","cross_cats_sorted":["cond-mat.stat-mech","cond-mat.str-el","nlin.CD","quant-ph"],"title_canon_sha256":"75f56b35da7f2a69b376bda0e2019a71eab60f5ea0c4ac018f88f24cc3a997ab","abstract_canon_sha256":"6b685f62bc21cc2349e7572235e86ebbefb1a43111d5eaffe3e14384bb666219"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:54:31.863379Z","signature_b64":"GXuVRsfClWAH5b+iYZuzpjRaSg/Ac6aM87FI3PcrvBgVkfigaOSHIN2r+TUrqzFSOEoV5vX2O5GhCLs4DBloCw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"d96adb780bc859142acb520ef175fa88979f6271455762477425f3b983ff93b7","last_reissued_at":"2026-05-17T23:54:31.862748Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:54:31.862748Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Onset of Random Matrix Behavior in Scrambling Systems","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.stat-mech","cond-mat.str-el","nlin.CD","quant-ph"],"primary_cat":"hep-th","authors_text":"Hrant Gharibyan, Masaki Tezuka, Masanori Hanada, Stephen H. Shenker","submitted_at":"2018-03-21T18:00:02Z","abstract_excerpt":"The fine grained energy spectrum of quantum chaotic systems is widely believed to be described by random matrix statistics. A basic scale in such a system is the energy range over which this behavior persists. We define the corresponding time scale by the time at which the linearly growing ramp region in the spectral form factor begins. We call this time $t_{\\rm ramp}$. The purpose of this paper is to study this scale in many-body quantum systems that display strong chaos, sometimes called scrambling systems. We focus on randomly coupled qubit systems, both local and $k$-local (all-to-all inte"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1803.08050","kind":"arxiv","version":4},"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":"1803.08050","created_at":"2026-05-17T23:54:31.862843+00:00"},{"alias_kind":"arxiv_version","alias_value":"1803.08050v4","created_at":"2026-05-17T23:54:31.862843+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1803.08050","created_at":"2026-05-17T23:54:31.862843+00:00"},{"alias_kind":"pith_short_12","alias_value":"3FVNW6ALZBMR","created_at":"2026-05-18T12:32:02.567920+00:00"},{"alias_kind":"pith_short_16","alias_value":"3FVNW6ALZBMRIKWL","created_at":"2026-05-18T12:32:02.567920+00:00"},{"alias_kind":"pith_short_8","alias_value":"3FVNW6AL","created_at":"2026-05-18T12:32:02.567920+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":2,"internal_anchor_count":1,"sample":[{"citing_arxiv_id":"2605.20913","citing_title":"Chaos-Integrability Transition in the BPS Subspace of the $\\mathcal{N}=2$ SYK Model","ref_index":26,"is_internal_anchor":true},{"citing_arxiv_id":"2604.23287","citing_title":"Chaos of Berry curvature for BPS microstates","ref_index":108,"is_internal_anchor":false}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/3FVNW6ALZBMRIKWLKIHPC5P2RC","json":"https://pith.science/pith/3FVNW6ALZBMRIKWLKIHPC5P2RC.json","graph_json":"https://pith.science/api/pith-number/3FVNW6ALZBMRIKWLKIHPC5P2RC/graph.json","events_json":"https://pith.science/api/pith-number/3FVNW6ALZBMRIKWLKIHPC5P2RC/events.json","paper":"https://pith.science/paper/3FVNW6AL"},"agent_actions":{"view_html":"https://pith.science/pith/3FVNW6ALZBMRIKWLKIHPC5P2RC","download_json":"https://pith.science/pith/3FVNW6ALZBMRIKWLKIHPC5P2RC.json","view_paper":"https://pith.science/paper/3FVNW6AL","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1803.08050&json=true","fetch_graph":"https://pith.science/api/pith-number/3FVNW6ALZBMRIKWLKIHPC5P2RC/graph.json","fetch_events":"https://pith.science/api/pith-number/3FVNW6ALZBMRIKWLKIHPC5P2RC/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/3FVNW6ALZBMRIKWLKIHPC5P2RC/action/timestamp_anchor","attest_storage":"https://pith.science/pith/3FVNW6ALZBMRIKWLKIHPC5P2RC/action/storage_attestation","attest_author":"https://pith.science/pith/3FVNW6ALZBMRIKWLKIHPC5P2RC/action/author_attestation","sign_citation":"https://pith.science/pith/3FVNW6ALZBMRIKWLKIHPC5P2RC/action/citation_signature","submit_replication":"https://pith.science/pith/3FVNW6ALZBMRIKWLKIHPC5P2RC/action/replication_record"}},"created_at":"2026-05-17T23:54:31.862843+00:00","updated_at":"2026-05-17T23:54:31.862843+00:00"}