{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2001:VRKPB2MOBDLJ5SXIJ3MUILL6YK","short_pith_number":"pith:VRKPB2MO","schema_version":"1.0","canonical_sha256":"ac54f0e98e08d69ecae84ed9442d7ec29a4ad5e1579bda75dcd8b8e0d17e851b","source":{"kind":"arxiv","id":"nucl-th/0104033","version":2},"attestation_state":"computed","paper":{"title":"Limit distributions of many-particle spectra","license":"","headline":"","cross_cats":["math.PR"],"primary_cat":"nucl-th","authors_text":"Piotr Sniady","submitted_at":"2001-04-10T10:14:27Z","abstract_excerpt":"We find the limit distributions for a spectrum of a system of n particles governed by a k-body interaction. The hamiltonian of this system is modelled by a Gaussian random matrix.\n  We show that the limit distribution is a q-deformed Gaussian distribution with the deformation parameter q depending on the value of the fraction \\frac{k}{\\sqrt{n}}. The family of q-deformed Gaussian distributions include the Gaussian distribution and the semicircular law; therefore our result is a generalization of the results of Wigner, Mon and French."},"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":"nucl-th/0104033","kind":"arxiv","version":2},"metadata":{"license":"","primary_cat":"nucl-th","submitted_at":"2001-04-10T10:14:27Z","cross_cats_sorted":["math.PR"],"title_canon_sha256":"ac47be268b2a0a8f092e203f6a4c6a30f07cba59c4f5e5283ea36ca17ad970ea","abstract_canon_sha256":"1faf60fec92b03a7a70865a74358b0b4aa0d63992ee7e70d8ac247cb67b6e61f"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:42:21.759864Z","signature_b64":"CkoFYi3JtJS2tHigs4/LvZ7CTDgrNXIk+RHMU+xdelOExX441er/r4+Bqh9wNR6hohBp3PejLFzNGl6se2AtBw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"ac54f0e98e08d69ecae84ed9442d7ec29a4ad5e1579bda75dcd8b8e0d17e851b","last_reissued_at":"2026-05-18T03:42:21.759082Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:42:21.759082Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Limit distributions of many-particle spectra","license":"","headline":"","cross_cats":["math.PR"],"primary_cat":"nucl-th","authors_text":"Piotr Sniady","submitted_at":"2001-04-10T10:14:27Z","abstract_excerpt":"We find the limit distributions for a spectrum of a system of n particles governed by a k-body interaction. The hamiltonian of this system is modelled by a Gaussian random matrix.\n  We show that the limit distribution is a q-deformed Gaussian distribution with the deformation parameter q depending on the value of the fraction \\frac{k}{\\sqrt{n}}. The family of q-deformed Gaussian distributions include the Gaussian distribution and the semicircular law; therefore our result is a generalization of the results of Wigner, Mon and French."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"nucl-th/0104033","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":""},"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":"nucl-th/0104033","created_at":"2026-05-18T03:42:21.759210+00:00"},{"alias_kind":"arxiv_version","alias_value":"nucl-th/0104033v2","created_at":"2026-05-18T03:42:21.759210+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.nucl-th/0104033","created_at":"2026-05-18T03:42:21.759210+00:00"},{"alias_kind":"pith_short_12","alias_value":"VRKPB2MOBDLJ","created_at":"2026-05-18T12:25:50.845339+00:00"},{"alias_kind":"pith_short_16","alias_value":"VRKPB2MOBDLJ5SXI","created_at":"2026-05-18T12:25:50.845339+00:00"},{"alias_kind":"pith_short_8","alias_value":"VRKPB2MO","created_at":"2026-05-18T12:25:50.845339+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/VRKPB2MOBDLJ5SXIJ3MUILL6YK","json":"https://pith.science/pith/VRKPB2MOBDLJ5SXIJ3MUILL6YK.json","graph_json":"https://pith.science/api/pith-number/VRKPB2MOBDLJ5SXIJ3MUILL6YK/graph.json","events_json":"https://pith.science/api/pith-number/VRKPB2MOBDLJ5SXIJ3MUILL6YK/events.json","paper":"https://pith.science/paper/VRKPB2MO"},"agent_actions":{"view_html":"https://pith.science/pith/VRKPB2MOBDLJ5SXIJ3MUILL6YK","download_json":"https://pith.science/pith/VRKPB2MOBDLJ5SXIJ3MUILL6YK.json","view_paper":"https://pith.science/paper/VRKPB2MO","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=nucl-th/0104033&json=true","fetch_graph":"https://pith.science/api/pith-number/VRKPB2MOBDLJ5SXIJ3MUILL6YK/graph.json","fetch_events":"https://pith.science/api/pith-number/VRKPB2MOBDLJ5SXIJ3MUILL6YK/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/VRKPB2MOBDLJ5SXIJ3MUILL6YK/action/timestamp_anchor","attest_storage":"https://pith.science/pith/VRKPB2MOBDLJ5SXIJ3MUILL6YK/action/storage_attestation","attest_author":"https://pith.science/pith/VRKPB2MOBDLJ5SXIJ3MUILL6YK/action/author_attestation","sign_citation":"https://pith.science/pith/VRKPB2MOBDLJ5SXIJ3MUILL6YK/action/citation_signature","submit_replication":"https://pith.science/pith/VRKPB2MOBDLJ5SXIJ3MUILL6YK/action/replication_record"}},"created_at":"2026-05-18T03:42:21.759210+00:00","updated_at":"2026-05-18T03:42:21.759210+00:00"}