{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2025:QW6ASZNG5UZ772W5UMX2FWWCLP","short_pith_number":"pith:QW6ASZNG","schema_version":"1.0","canonical_sha256":"85bc0965a6ed33ffeadda32fa2dac25bdbe6eae35ebd14327472d61e19ce0d32","source":{"kind":"arxiv","id":"2510.00503","version":2},"attestation_state":"computed","paper":{"title":"Higher-order spacings in the superposed spectra of random matrices with comparison to spacing ratios and application to complex systems","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["nlin.CD","quant-ph","stat.OT"],"primary_cat":"physics.data-an","authors_text":"Sashmita Rout, Udaysinh T. Bhosale","submitted_at":"2025-10-01T04:34:11Z","abstract_excerpt":"Higher-order spacing statistics in the $m$ superposed spectra of circular random matrices of the same class are studied numerically. We conjecture that for given $m$ (or order $k$) and $\\beta$, the sequence of modified Dyson index $\\beta'(k)$ (or $\\beta'(m)$) obtained using the sum of absolute differences between the cumulative distribution functions method (denoted as $D(\\beta')$) is unique. Also, for a given $k$, the distribution tends to the corresponding $k$-th order Poisson statistics in the limit $m\\rightarrow \\infty$. The quantum chaotic kicked top model for various Hilbert space dimens"},"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":"2510.00503","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.data-an","submitted_at":"2025-10-01T04:34:11Z","cross_cats_sorted":["nlin.CD","quant-ph","stat.OT"],"title_canon_sha256":"63f750e1c92accee085f570d630a47c77ef79429b04d8dd26592858f53566cfd","abstract_canon_sha256":"5eafe14ddd91baffcd50c91f1af44f3ce13c54196983a4515a2250f32f970df0"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-06-03T01:05:45.416762Z","signature_b64":"M5V1AJiWJHwhCnt8BdCle+2INsQC3uMSJgzfrVik7VGD05Rh0/NL+9CzVizasfepKO1QeyNAZN7pmZjs/6tRBw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"85bc0965a6ed33ffeadda32fa2dac25bdbe6eae35ebd14327472d61e19ce0d32","last_reissued_at":"2026-06-03T01:05:45.416299Z","signature_status":"signed_v1","first_computed_at":"2026-06-03T01:05:45.416299Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Higher-order spacings in the superposed spectra of random matrices with comparison to spacing ratios and application to complex systems","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["nlin.CD","quant-ph","stat.OT"],"primary_cat":"physics.data-an","authors_text":"Sashmita Rout, Udaysinh T. Bhosale","submitted_at":"2025-10-01T04:34:11Z","abstract_excerpt":"Higher-order spacing statistics in the $m$ superposed spectra of circular random matrices of the same class are studied numerically. We conjecture that for given $m$ (or order $k$) and $\\beta$, the sequence of modified Dyson index $\\beta'(k)$ (or $\\beta'(m)$) obtained using the sum of absolute differences between the cumulative distribution functions method (denoted as $D(\\beta')$) is unique. Also, for a given $k$, the distribution tends to the corresponding $k$-th order Poisson statistics in the limit $m\\rightarrow \\infty$. The quantum chaotic kicked top model for various Hilbert space dimens"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2510.00503","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2510.00503/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":"2510.00503","created_at":"2026-06-03T01:05:45.416362+00:00"},{"alias_kind":"arxiv_version","alias_value":"2510.00503v2","created_at":"2026-06-03T01:05:45.416362+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2510.00503","created_at":"2026-06-03T01:05:45.416362+00:00"},{"alias_kind":"pith_short_12","alias_value":"QW6ASZNG5UZ7","created_at":"2026-06-03T01:05:45.416362+00:00"},{"alias_kind":"pith_short_16","alias_value":"QW6ASZNG5UZ772W5","created_at":"2026-06-03T01:05:45.416362+00:00"},{"alias_kind":"pith_short_8","alias_value":"QW6ASZNG","created_at":"2026-06-03T01:05:45.416362+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/QW6ASZNG5UZ772W5UMX2FWWCLP","json":"https://pith.science/pith/QW6ASZNG5UZ772W5UMX2FWWCLP.json","graph_json":"https://pith.science/api/pith-number/QW6ASZNG5UZ772W5UMX2FWWCLP/graph.json","events_json":"https://pith.science/api/pith-number/QW6ASZNG5UZ772W5UMX2FWWCLP/events.json","paper":"https://pith.science/paper/QW6ASZNG"},"agent_actions":{"view_html":"https://pith.science/pith/QW6ASZNG5UZ772W5UMX2FWWCLP","download_json":"https://pith.science/pith/QW6ASZNG5UZ772W5UMX2FWWCLP.json","view_paper":"https://pith.science/paper/QW6ASZNG","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2510.00503&json=true","fetch_graph":"https://pith.science/api/pith-number/QW6ASZNG5UZ772W5UMX2FWWCLP/graph.json","fetch_events":"https://pith.science/api/pith-number/QW6ASZNG5UZ772W5UMX2FWWCLP/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/QW6ASZNG5UZ772W5UMX2FWWCLP/action/timestamp_anchor","attest_storage":"https://pith.science/pith/QW6ASZNG5UZ772W5UMX2FWWCLP/action/storage_attestation","attest_author":"https://pith.science/pith/QW6ASZNG5UZ772W5UMX2FWWCLP/action/author_attestation","sign_citation":"https://pith.science/pith/QW6ASZNG5UZ772W5UMX2FWWCLP/action/citation_signature","submit_replication":"https://pith.science/pith/QW6ASZNG5UZ772W5UMX2FWWCLP/action/replication_record"}},"created_at":"2026-06-03T01:05:45.416362+00:00","updated_at":"2026-06-03T01:05:45.416362+00:00"}