{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2024:UQCIFTZ4G65D22V7KI7S6VHWWD","short_pith_number":"pith:UQCIFTZ4","schema_version":"1.0","canonical_sha256":"a40482cf3c37ba3d6abf523f2f54f6b0e32444614fb55f207964c808873a70f8","source":{"kind":"arxiv","id":"2404.10725","version":1},"attestation_state":"computed","paper":{"title":"Hilbert space delocalization under random unitary circuits","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["cond-mat.stat-mech"],"primary_cat":"quant-ph","authors_text":"Piotr Sierant, Xhek Turkeshi","submitted_at":"2024-04-16T16:59:41Z","abstract_excerpt":"Unitary dynamics of a quantum system initialized in a selected basis state yields, generically, a state that is a superposition of all the basis states. This process, associated with the quantum information scrambling and intimately tied to the resource theory of coherence, may be viewed as a gradual delocalization of the system's state in the Hilbert space. This work analyzes the Hilbert space delocalization under dynamics of random quantum circuits, which serve as a minimal model of chaotic dynamics of quantum many-body systems. We employ analytical methods based on the replica trick and Wei"},"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":"2404.10725","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"quant-ph","submitted_at":"2024-04-16T16:59:41Z","cross_cats_sorted":["cond-mat.stat-mech"],"title_canon_sha256":"e2f9587eec37775f7317983e53f8e54deda56ea91beffe8abc880d22e0ce60a4","abstract_canon_sha256":"ba2ff943abfc9d98d0d4045a1ee481f4443c55320e50743a60046819b2e7e246"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T10:03:24.836432Z","signature_b64":"AiSkbiJ2vzocjXS2J2UR74QpqGdkRHMeTfJ8NMXMOwcxiNZXfrAJEmW4Hb0CPOVUl4WPu1mzrj0UEBeubVRwCQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"a40482cf3c37ba3d6abf523f2f54f6b0e32444614fb55f207964c808873a70f8","last_reissued_at":"2026-07-05T10:03:24.836016Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T10:03:24.836016Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Hilbert space delocalization under random unitary circuits","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["cond-mat.stat-mech"],"primary_cat":"quant-ph","authors_text":"Piotr Sierant, Xhek Turkeshi","submitted_at":"2024-04-16T16:59:41Z","abstract_excerpt":"Unitary dynamics of a quantum system initialized in a selected basis state yields, generically, a state that is a superposition of all the basis states. This process, associated with the quantum information scrambling and intimately tied to the resource theory of coherence, may be viewed as a gradual delocalization of the system's state in the Hilbert space. This work analyzes the Hilbert space delocalization under dynamics of random quantum circuits, which serve as a minimal model of chaotic dynamics of quantum many-body systems. We employ analytical methods based on the replica trick and Wei"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2404.10725","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2404.10725/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":"2404.10725","created_at":"2026-07-05T10:03:24.836070+00:00"},{"alias_kind":"arxiv_version","alias_value":"2404.10725v1","created_at":"2026-07-05T10:03:24.836070+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2404.10725","created_at":"2026-07-05T10:03:24.836070+00:00"},{"alias_kind":"pith_short_12","alias_value":"UQCIFTZ4G65D","created_at":"2026-07-05T10:03:24.836070+00:00"},{"alias_kind":"pith_short_16","alias_value":"UQCIFTZ4G65D22V7","created_at":"2026-07-05T10:03:24.836070+00:00"},{"alias_kind":"pith_short_8","alias_value":"UQCIFTZ4","created_at":"2026-07-05T10:03:24.836070+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/UQCIFTZ4G65D22V7KI7S6VHWWD","json":"https://pith.science/pith/UQCIFTZ4G65D22V7KI7S6VHWWD.json","graph_json":"https://pith.science/api/pith-number/UQCIFTZ4G65D22V7KI7S6VHWWD/graph.json","events_json":"https://pith.science/api/pith-number/UQCIFTZ4G65D22V7KI7S6VHWWD/events.json","paper":"https://pith.science/paper/UQCIFTZ4"},"agent_actions":{"view_html":"https://pith.science/pith/UQCIFTZ4G65D22V7KI7S6VHWWD","download_json":"https://pith.science/pith/UQCIFTZ4G65D22V7KI7S6VHWWD.json","view_paper":"https://pith.science/paper/UQCIFTZ4","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2404.10725&json=true","fetch_graph":"https://pith.science/api/pith-number/UQCIFTZ4G65D22V7KI7S6VHWWD/graph.json","fetch_events":"https://pith.science/api/pith-number/UQCIFTZ4G65D22V7KI7S6VHWWD/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/UQCIFTZ4G65D22V7KI7S6VHWWD/action/timestamp_anchor","attest_storage":"https://pith.science/pith/UQCIFTZ4G65D22V7KI7S6VHWWD/action/storage_attestation","attest_author":"https://pith.science/pith/UQCIFTZ4G65D22V7KI7S6VHWWD/action/author_attestation","sign_citation":"https://pith.science/pith/UQCIFTZ4G65D22V7KI7S6VHWWD/action/citation_signature","submit_replication":"https://pith.science/pith/UQCIFTZ4G65D22V7KI7S6VHWWD/action/replication_record"}},"created_at":"2026-07-05T10:03:24.836070+00:00","updated_at":"2026-07-05T10:03:24.836070+00:00"}