{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2017:FF5SGS2KVCKL6DNEWGIYXSOLRH","short_pith_number":"pith:FF5SGS2K","schema_version":"1.0","canonical_sha256":"297b234b4aa894bf0da4b1918bc9cb89ebaee02f106ffd9df3f7d940ab0b2ae7","source":{"kind":"arxiv","id":"1703.09634","version":1},"attestation_state":"computed","paper":{"title":"On Thouless bandwidth formula in the Hofstadter model","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.stat-mech","math.MP"],"primary_cat":"math-ph","authors_text":"Shuang Wu, Stephane Ouvry","submitted_at":"2017-03-28T15:35:59Z","abstract_excerpt":"We generalize Thouless bandwidth formula to its n-th moment. We obtain a closed expression in terms of polygamma, zeta and Euler numbers."},"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":"1703.09634","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2017-03-28T15:35:59Z","cross_cats_sorted":["cond-mat.stat-mech","math.MP"],"title_canon_sha256":"72f21bd6517252eeaff1fbdb8b2deb260f1507f18c8eafed9b75b8fdd8faeade","abstract_canon_sha256":"61988ee22f7a14c8e19ff562efb1fd53394e3d35b38b70eb35208ea47f8f3e59"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:28:56.131700Z","signature_b64":"lV/qGkLJ/q/rdWg94BBKjeulq1IUgz7z1TDdA8tZZ2vzARjpg0izDgYvYWRjNurAwpwPIQfqJOmV6GxlkTN8Bw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"297b234b4aa894bf0da4b1918bc9cb89ebaee02f106ffd9df3f7d940ab0b2ae7","last_reissued_at":"2026-05-18T00:28:56.131174Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:28:56.131174Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"On Thouless bandwidth formula in the Hofstadter model","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.stat-mech","math.MP"],"primary_cat":"math-ph","authors_text":"Shuang Wu, Stephane Ouvry","submitted_at":"2017-03-28T15:35:59Z","abstract_excerpt":"We generalize Thouless bandwidth formula to its n-th moment. We obtain a closed expression in terms of polygamma, zeta and Euler numbers."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1703.09634","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":"1703.09634","created_at":"2026-05-18T00:28:56.131253+00:00"},{"alias_kind":"arxiv_version","alias_value":"1703.09634v1","created_at":"2026-05-18T00:28:56.131253+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1703.09634","created_at":"2026-05-18T00:28:56.131253+00:00"},{"alias_kind":"pith_short_12","alias_value":"FF5SGS2KVCKL","created_at":"2026-05-18T12:31:15.632608+00:00"},{"alias_kind":"pith_short_16","alias_value":"FF5SGS2KVCKL6DNE","created_at":"2026-05-18T12:31:15.632608+00:00"},{"alias_kind":"pith_short_8","alias_value":"FF5SGS2K","created_at":"2026-05-18T12:31:15.632608+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/FF5SGS2KVCKL6DNEWGIYXSOLRH","json":"https://pith.science/pith/FF5SGS2KVCKL6DNEWGIYXSOLRH.json","graph_json":"https://pith.science/api/pith-number/FF5SGS2KVCKL6DNEWGIYXSOLRH/graph.json","events_json":"https://pith.science/api/pith-number/FF5SGS2KVCKL6DNEWGIYXSOLRH/events.json","paper":"https://pith.science/paper/FF5SGS2K"},"agent_actions":{"view_html":"https://pith.science/pith/FF5SGS2KVCKL6DNEWGIYXSOLRH","download_json":"https://pith.science/pith/FF5SGS2KVCKL6DNEWGIYXSOLRH.json","view_paper":"https://pith.science/paper/FF5SGS2K","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1703.09634&json=true","fetch_graph":"https://pith.science/api/pith-number/FF5SGS2KVCKL6DNEWGIYXSOLRH/graph.json","fetch_events":"https://pith.science/api/pith-number/FF5SGS2KVCKL6DNEWGIYXSOLRH/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/FF5SGS2KVCKL6DNEWGIYXSOLRH/action/timestamp_anchor","attest_storage":"https://pith.science/pith/FF5SGS2KVCKL6DNEWGIYXSOLRH/action/storage_attestation","attest_author":"https://pith.science/pith/FF5SGS2KVCKL6DNEWGIYXSOLRH/action/author_attestation","sign_citation":"https://pith.science/pith/FF5SGS2KVCKL6DNEWGIYXSOLRH/action/citation_signature","submit_replication":"https://pith.science/pith/FF5SGS2KVCKL6DNEWGIYXSOLRH/action/replication_record"}},"created_at":"2026-05-18T00:28:56.131253+00:00","updated_at":"2026-05-18T00:28:56.131253+00:00"}