{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2013:E67EQRJAXOFKGSHYJHQUQ3RHNZ","short_pith_number":"pith:E67EQRJA","schema_version":"1.0","canonical_sha256":"27be484520bb8aa348f849e1486e276e446ace7becfcac758c9be58a3fa91caa","source":{"kind":"arxiv","id":"1312.6901","version":1},"attestation_state":"computed","paper":{"title":"Level statistics for one-dimensional Schr\\\"odinger operators and Gaussian beta ensemble","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.MP"],"primary_cat":"math-ph","authors_text":"Fumihiko Nakano","submitted_at":"2013-12-25T00:44:57Z","abstract_excerpt":"We study the level statistics for two classes of 1-dimensional random Schr\\\"odinger operators : (1) for operators whose coupling constants decay as the system size becomes large, and (2) for operators with critically decaying random potential. As a byproduct of (2) with our previous result \\cite{KN} imply the coincidence of the limits of circular and Gaussian beta ensembles."},"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":"1312.6901","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2013-12-25T00:44:57Z","cross_cats_sorted":["math.MP"],"title_canon_sha256":"2fc439dae7aac7c07795a590b469e3af2bcbf700d25c35013078a147f30f10ac","abstract_canon_sha256":"ee0221da31c7f0dd7c0c18d35241a484494d9ce797f5d6be593b80faf41270a3"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:45:41.873683Z","signature_b64":"Phc5nEWg8KEsiNQE4LWmwoBih4IciOpWOzSH5kxgTrT4MKbDFJWzKWEwqPKdTbzxHgrgqDqDjaR0rrc2o8+AAQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"27be484520bb8aa348f849e1486e276e446ace7becfcac758c9be58a3fa91caa","last_reissued_at":"2026-05-18T01:45:41.873078Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:45:41.873078Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Level statistics for one-dimensional Schr\\\"odinger operators and Gaussian beta ensemble","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.MP"],"primary_cat":"math-ph","authors_text":"Fumihiko Nakano","submitted_at":"2013-12-25T00:44:57Z","abstract_excerpt":"We study the level statistics for two classes of 1-dimensional random Schr\\\"odinger operators : (1) for operators whose coupling constants decay as the system size becomes large, and (2) for operators with critically decaying random potential. As a byproduct of (2) with our previous result \\cite{KN} imply the coincidence of the limits of circular and Gaussian beta ensembles."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1312.6901","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":"1312.6901","created_at":"2026-05-18T01:45:41.873167+00:00"},{"alias_kind":"arxiv_version","alias_value":"1312.6901v1","created_at":"2026-05-18T01:45:41.873167+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1312.6901","created_at":"2026-05-18T01:45:41.873167+00:00"},{"alias_kind":"pith_short_12","alias_value":"E67EQRJAXOFK","created_at":"2026-05-18T12:27:43.054852+00:00"},{"alias_kind":"pith_short_16","alias_value":"E67EQRJAXOFKGSHY","created_at":"2026-05-18T12:27:43.054852+00:00"},{"alias_kind":"pith_short_8","alias_value":"E67EQRJA","created_at":"2026-05-18T12:27:43.054852+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/E67EQRJAXOFKGSHYJHQUQ3RHNZ","json":"https://pith.science/pith/E67EQRJAXOFKGSHYJHQUQ3RHNZ.json","graph_json":"https://pith.science/api/pith-number/E67EQRJAXOFKGSHYJHQUQ3RHNZ/graph.json","events_json":"https://pith.science/api/pith-number/E67EQRJAXOFKGSHYJHQUQ3RHNZ/events.json","paper":"https://pith.science/paper/E67EQRJA"},"agent_actions":{"view_html":"https://pith.science/pith/E67EQRJAXOFKGSHYJHQUQ3RHNZ","download_json":"https://pith.science/pith/E67EQRJAXOFKGSHYJHQUQ3RHNZ.json","view_paper":"https://pith.science/paper/E67EQRJA","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1312.6901&json=true","fetch_graph":"https://pith.science/api/pith-number/E67EQRJAXOFKGSHYJHQUQ3RHNZ/graph.json","fetch_events":"https://pith.science/api/pith-number/E67EQRJAXOFKGSHYJHQUQ3RHNZ/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/E67EQRJAXOFKGSHYJHQUQ3RHNZ/action/timestamp_anchor","attest_storage":"https://pith.science/pith/E67EQRJAXOFKGSHYJHQUQ3RHNZ/action/storage_attestation","attest_author":"https://pith.science/pith/E67EQRJAXOFKGSHYJHQUQ3RHNZ/action/author_attestation","sign_citation":"https://pith.science/pith/E67EQRJAXOFKGSHYJHQUQ3RHNZ/action/citation_signature","submit_replication":"https://pith.science/pith/E67EQRJAXOFKGSHYJHQUQ3RHNZ/action/replication_record"}},"created_at":"2026-05-18T01:45:41.873167+00:00","updated_at":"2026-05-18T01:45:41.873167+00:00"}