{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2013:M3ONRMG5JNAKRQHGVVFCOLFKAE","short_pith_number":"pith:M3ONRMG5","schema_version":"1.0","canonical_sha256":"66dcd8b0dd4b40a8c0e6ad4a272caa01099faf5ecda8ead75b12948b25fb94c8","source":{"kind":"arxiv","id":"1311.2419","version":1},"attestation_state":"computed","paper":{"title":"Unfolding of the Spectrum for Chaotic and Mixed Systems","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.stat-mech","authors_text":"Adel Y. Abul-Magd, Ashraf A. Abul-Magd","submitted_at":"2013-11-11T11:28:41Z","abstract_excerpt":"Random Matrix Theory (RMT) is capable of making predictions for the spectral fluctuations of a physical system only after removing the influence of the level density by unfolding the spectra. When the level density is known, unfolding is done by using the integrated level density to transform the eigenvalues into dimensionless variables with unit mean spacing. When it is not known, as in most practical cases, one usually approximates the level staircase function by a polynomial. We here study the effect of unfolding procedure on the spectral fluctuation of two systems for which the level densi"},"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":"1311.2419","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2013-11-11T11:28:41Z","cross_cats_sorted":[],"title_canon_sha256":"bbc7aa728dc642040854d7b9e456dff280ea13059ff2e6d6e0180c7634d7636b","abstract_canon_sha256":"8aa49e18c8d3c777de1cb0a140f6b5f3113739b36e16a9cf72a8a87b7147169d"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:04:48.159652Z","signature_b64":"X9BmgFxcvOCv7HJdYLuCEyv4BlD7x8CQP29nYJF/PaJcQIdt6U0Ppdm4+cklqqC3RZBHiQOlO/RZ2Ts2T7PmDA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"66dcd8b0dd4b40a8c0e6ad4a272caa01099faf5ecda8ead75b12948b25fb94c8","last_reissued_at":"2026-05-18T03:04:48.158908Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:04:48.158908Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Unfolding of the Spectrum for Chaotic and Mixed Systems","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.stat-mech","authors_text":"Adel Y. Abul-Magd, Ashraf A. Abul-Magd","submitted_at":"2013-11-11T11:28:41Z","abstract_excerpt":"Random Matrix Theory (RMT) is capable of making predictions for the spectral fluctuations of a physical system only after removing the influence of the level density by unfolding the spectra. When the level density is known, unfolding is done by using the integrated level density to transform the eigenvalues into dimensionless variables with unit mean spacing. When it is not known, as in most practical cases, one usually approximates the level staircase function by a polynomial. We here study the effect of unfolding procedure on the spectral fluctuation of two systems for which the level densi"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1311.2419","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":""},"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":"1311.2419","created_at":"2026-05-18T03:04:48.159036+00:00"},{"alias_kind":"arxiv_version","alias_value":"1311.2419v1","created_at":"2026-05-18T03:04:48.159036+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1311.2419","created_at":"2026-05-18T03:04:48.159036+00:00"},{"alias_kind":"pith_short_12","alias_value":"M3ONRMG5JNAK","created_at":"2026-05-18T12:27:51.066281+00:00"},{"alias_kind":"pith_short_16","alias_value":"M3ONRMG5JNAKRQHG","created_at":"2026-05-18T12:27:51.066281+00:00"},{"alias_kind":"pith_short_8","alias_value":"M3ONRMG5","created_at":"2026-05-18T12:27:51.066281+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":1,"internal_anchor_count":0,"sample":[{"citing_arxiv_id":"2604.12141","citing_title":"Quantum chaotic systems: a random-matrix approach","ref_index":54,"is_internal_anchor":false}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/M3ONRMG5JNAKRQHGVVFCOLFKAE","json":"https://pith.science/pith/M3ONRMG5JNAKRQHGVVFCOLFKAE.json","graph_json":"https://pith.science/api/pith-number/M3ONRMG5JNAKRQHGVVFCOLFKAE/graph.json","events_json":"https://pith.science/api/pith-number/M3ONRMG5JNAKRQHGVVFCOLFKAE/events.json","paper":"https://pith.science/paper/M3ONRMG5"},"agent_actions":{"view_html":"https://pith.science/pith/M3ONRMG5JNAKRQHGVVFCOLFKAE","download_json":"https://pith.science/pith/M3ONRMG5JNAKRQHGVVFCOLFKAE.json","view_paper":"https://pith.science/paper/M3ONRMG5","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1311.2419&json=true","fetch_graph":"https://pith.science/api/pith-number/M3ONRMG5JNAKRQHGVVFCOLFKAE/graph.json","fetch_events":"https://pith.science/api/pith-number/M3ONRMG5JNAKRQHGVVFCOLFKAE/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/M3ONRMG5JNAKRQHGVVFCOLFKAE/action/timestamp_anchor","attest_storage":"https://pith.science/pith/M3ONRMG5JNAKRQHGVVFCOLFKAE/action/storage_attestation","attest_author":"https://pith.science/pith/M3ONRMG5JNAKRQHGVVFCOLFKAE/action/author_attestation","sign_citation":"https://pith.science/pith/M3ONRMG5JNAKRQHGVVFCOLFKAE/action/citation_signature","submit_replication":"https://pith.science/pith/M3ONRMG5JNAKRQHGVVFCOLFKAE/action/replication_record"}},"created_at":"2026-05-18T03:04:48.159036+00:00","updated_at":"2026-05-18T03:04:48.159036+00:00"}