{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2024:VJANI3JDXBY3NGRFBFFF7HTBDG","short_pith_number":"pith:VJANI3JD","schema_version":"1.0","canonical_sha256":"aa40d46d23b871b69a25094a5f9e61198607410908587c1cf6def81528eb5dc7","source":{"kind":"arxiv","id":"2405.19260","version":4},"attestation_state":"computed","paper":{"title":"Hilbert Space Diffusion in Systems with Approximate Symmetries","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.str-el","hep-th","nlin.CD"],"primary_cat":"cond-mat.stat-mech","authors_text":"Julian Sonner, Luca V. Delacr\\'etaz, Pranjal Nayak, Rahel L. Baumgartner","submitted_at":"2024-05-29T16:53:50Z","abstract_excerpt":"Random matrix theory (RMT) universality is the defining property of quantum mechanical chaotic systems, and can be probed by observables like the spectral form factor (SFF). In this paper, we describe systematic deviations from RMT behaviour at intermediate time scales in systems with approximate symmetries. At early times, the symmetries allow us to organize the Hilbert space into approximately decoupled sectors, each of which contributes independently to the SFF. At late times, the SFF transitions into the final ramp of the fully mixed chaotic Hamiltonian. For approximate continuous symmetri"},"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":"2405.19260","kind":"arxiv","version":4},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2024-05-29T16:53:50Z","cross_cats_sorted":["cond-mat.str-el","hep-th","nlin.CD"],"title_canon_sha256":"d08f15eab31bf77d15d07042f4bf775bfe22c2cb89bec0b53a12b874f314034c","abstract_canon_sha256":"a4b9dfdf11511c91b06385c7a69d0651e9053d3caf330444b49fb1dd7982c197"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T10:00:37.473306Z","signature_b64":"Ib+aOQYeOMv3uYiwrL6ECcU05HavKAQilAuiXOaO7I5pYHddi9EcxS/ZmUyfWPiUlhXiJpo2Xma8HJteVMIADg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"aa40d46d23b871b69a25094a5f9e61198607410908587c1cf6def81528eb5dc7","last_reissued_at":"2026-07-05T10:00:37.472830Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T10:00:37.472830Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Hilbert Space Diffusion in Systems with Approximate Symmetries","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.str-el","hep-th","nlin.CD"],"primary_cat":"cond-mat.stat-mech","authors_text":"Julian Sonner, Luca V. Delacr\\'etaz, Pranjal Nayak, Rahel L. Baumgartner","submitted_at":"2024-05-29T16:53:50Z","abstract_excerpt":"Random matrix theory (RMT) universality is the defining property of quantum mechanical chaotic systems, and can be probed by observables like the spectral form factor (SFF). In this paper, we describe systematic deviations from RMT behaviour at intermediate time scales in systems with approximate symmetries. At early times, the symmetries allow us to organize the Hilbert space into approximately decoupled sectors, each of which contributes independently to the SFF. At late times, the SFF transitions into the final ramp of the fully mixed chaotic Hamiltonian. For approximate continuous symmetri"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2405.19260","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2405.19260/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":"2405.19260","created_at":"2026-07-05T10:00:37.472887+00:00"},{"alias_kind":"arxiv_version","alias_value":"2405.19260v4","created_at":"2026-07-05T10:00:37.472887+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2405.19260","created_at":"2026-07-05T10:00:37.472887+00:00"},{"alias_kind":"pith_short_12","alias_value":"VJANI3JDXBY3","created_at":"2026-07-05T10:00:37.472887+00:00"},{"alias_kind":"pith_short_16","alias_value":"VJANI3JDXBY3NGRF","created_at":"2026-07-05T10:00:37.472887+00:00"},{"alias_kind":"pith_short_8","alias_value":"VJANI3JD","created_at":"2026-07-05T10:00:37.472887+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":1,"internal_anchor_count":1,"sample":[{"citing_arxiv_id":"2602.06913","citing_title":"Non-ergodic quantum operator dynamics from causal constraints","ref_index":79,"is_internal_anchor":true}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/VJANI3JDXBY3NGRFBFFF7HTBDG","json":"https://pith.science/pith/VJANI3JDXBY3NGRFBFFF7HTBDG.json","graph_json":"https://pith.science/api/pith-number/VJANI3JDXBY3NGRFBFFF7HTBDG/graph.json","events_json":"https://pith.science/api/pith-number/VJANI3JDXBY3NGRFBFFF7HTBDG/events.json","paper":"https://pith.science/paper/VJANI3JD"},"agent_actions":{"view_html":"https://pith.science/pith/VJANI3JDXBY3NGRFBFFF7HTBDG","download_json":"https://pith.science/pith/VJANI3JDXBY3NGRFBFFF7HTBDG.json","view_paper":"https://pith.science/paper/VJANI3JD","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2405.19260&json=true","fetch_graph":"https://pith.science/api/pith-number/VJANI3JDXBY3NGRFBFFF7HTBDG/graph.json","fetch_events":"https://pith.science/api/pith-number/VJANI3JDXBY3NGRFBFFF7HTBDG/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/VJANI3JDXBY3NGRFBFFF7HTBDG/action/timestamp_anchor","attest_storage":"https://pith.science/pith/VJANI3JDXBY3NGRFBFFF7HTBDG/action/storage_attestation","attest_author":"https://pith.science/pith/VJANI3JDXBY3NGRFBFFF7HTBDG/action/author_attestation","sign_citation":"https://pith.science/pith/VJANI3JDXBY3NGRFBFFF7HTBDG/action/citation_signature","submit_replication":"https://pith.science/pith/VJANI3JDXBY3NGRFBFFF7HTBDG/action/replication_record"}},"created_at":"2026-07-05T10:00:37.472887+00:00","updated_at":"2026-07-05T10:00:37.472887+00:00"}