{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2025:7XRGAJQZWS6ZKQENGNTST4DBQM","merge_version":"pith-open-graph-merge-v1","event_count":2,"valid_event_count":2,"invalid_event_count":0,"equivocation_count":0,"current":{"canonical_record":{"metadata":{"abstract_canon_sha256":"82a28ba9d889f6f721498d94802198ce8b5ea653ba378f45d3ae4df12d283f74","cross_cats_sorted":["cond-mat.stat-mech","quant-ph"],"license":"http://creativecommons.org/publicdomain/zero/1.0/","primary_cat":"hep-th","submitted_at":"2025-04-19T17:38:11Z","title_canon_sha256":"3f9805ea907b5936c2d688012ebf51fb05b794e0c117b1295dcf5248274d11df"},"schema_version":"1.0","source":{"id":"2504.14362","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2504.14362","created_at":"2026-07-05T10:53:54Z"},{"alias_kind":"arxiv_version","alias_value":"2504.14362v2","created_at":"2026-07-05T10:53:54Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2504.14362","created_at":"2026-07-05T10:53:54Z"},{"alias_kind":"pith_short_12","alias_value":"7XRGAJQZWS6Z","created_at":"2026-07-05T10:53:54Z"},{"alias_kind":"pith_short_16","alias_value":"7XRGAJQZWS6ZKQEN","created_at":"2026-07-05T10:53:54Z"},{"alias_kind":"pith_short_8","alias_value":"7XRGAJQZ","created_at":"2026-07-05T10:53:54Z"}],"graph_snapshots":[{"event_id":"sha256:1455587ad43223291a3b52bf168823378092f4b6629a5b80f9ffb415f3b7d474","target":"graph","created_at":"2026-07-05T10:53:54Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"graph_snapshot":{"author_claims":{"count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","strong_count":0},"builder_version":"pith-number-builder-2026-05-17-v1","claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2504.14362/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We investigate the spread complexity of a generic two-level subsystem of a larger system to analyze the influence of energy level statistics, comparing chaotic and integrable systems. Initially focusing on the nearest-neighbor level spacing, we observe the characteristic slope-dip-ramp-plateau structure. Further investigation reveals that certain matrix models exhibit additional iterative peaks, motivating us to generalize the known spacing distributions to higher-order level spacings. While this structure persists in chaotic systems, we find that integrable systems can also display similar fe","authors_text":"Amin Faraji Astaneh, Niloofar Vardian","cross_cats":["cond-mat.stat-mech","quant-ph"],"headline":"","license":"http://creativecommons.org/publicdomain/zero/1.0/","primary_cat":"hep-th","submitted_at":"2025-04-19T17:38:11Z","title":"Average Spread Complexity and the Higher-Order Level Spacing"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2504.14362","kind":"arxiv","version":2},"verdict":{"created_at":null,"id":null,"model_set":{},"one_line_summary":"","pipeline_version":null,"pith_extraction_headline":"","strongest_claim":"","weakest_assumption":""}},"verdict_id":null}}],"author_attestations":[],"timestamp_anchors":[],"storage_attestations":[],"citation_signatures":[],"replication_records":[],"corrections":[],"mirror_hints":[],"record_created":{"event_id":"sha256:820c23141f768fbb6e91ec2f18693ed909cfc5d655d76ff229c255837bff1350","target":"record","created_at":"2026-07-05T10:53:54Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"attestation_state":"computed","canonical_record":{"metadata":{"abstract_canon_sha256":"82a28ba9d889f6f721498d94802198ce8b5ea653ba378f45d3ae4df12d283f74","cross_cats_sorted":["cond-mat.stat-mech","quant-ph"],"license":"http://creativecommons.org/publicdomain/zero/1.0/","primary_cat":"hep-th","submitted_at":"2025-04-19T17:38:11Z","title_canon_sha256":"3f9805ea907b5936c2d688012ebf51fb05b794e0c117b1295dcf5248274d11df"},"schema_version":"1.0","source":{"id":"2504.14362","kind":"arxiv","version":2}},"canonical_sha256":"fde2602619b4bd95408d336729f0618337b7d98cc4db419cba118dd7f78d0c5a","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"fde2602619b4bd95408d336729f0618337b7d98cc4db419cba118dd7f78d0c5a","first_computed_at":"2026-07-05T10:53:54.331520Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T10:53:54.331520Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"oQFVUIezoy7xg+nIPOHI44pVqjtd1lXVPhgW2+7s3payt3ow7NaVaAT8OSd9bTt1aTkbqNjponbyJE8EZeTPBw==","signature_status":"signed_v1","signed_at":"2026-07-05T10:53:54.332063Z","signed_message":"canonical_sha256_bytes"},"source_id":"2504.14362","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:820c23141f768fbb6e91ec2f18693ed909cfc5d655d76ff229c255837bff1350","sha256:1455587ad43223291a3b52bf168823378092f4b6629a5b80f9ffb415f3b7d474"],"state_sha256":"745ac252bfe18f7d6638ed1ebc3b548f2bf10298a0a2a7ef90689332f1fec292"}