{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2016:AJCAP6GPJ3KFJ7EAPM5CT2PRJN","short_pith_number":"pith:AJCAP6GP","schema_version":"1.0","canonical_sha256":"024407f8cf4ed454fc807b3a29e9f14b41445c49eebb4a9153f2aeb632b08eec","source":{"kind":"arxiv","id":"1609.02347","version":1},"attestation_state":"computed","paper":{"title":"Exact-dimensional property of density of states measure of Sturm Hamiltonian","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.MP"],"primary_cat":"math.DS","authors_text":"Yanhui Qu","submitted_at":"2016-09-08T09:30:40Z","abstract_excerpt":"For frequency $\\alpha$ of bounded type and coupling $\\lambda>20$, we show that the density of states measure $\\NN_{\\alpha,\\lambda}$ of the related Sturm Hamiltonian is exact upper and lower dimensional, however, in general it is not exact-dimensional."},"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":"1609.02347","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2016-09-08T09:30:40Z","cross_cats_sorted":["math-ph","math.MP"],"title_canon_sha256":"a3ba098e2f02fbfb0319f0c623f5cf628dbbd21ea403f5b4c71d1fbc26d7a32e","abstract_canon_sha256":"8a2b64dd9340a8dcb301077579a40e0c933b4dbdab10fd2a4b0a07353e8613f5"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:04:54.858292Z","signature_b64":"jLaGyvu67My5jA6Ecj4HekNl3zH0c3N0WqsjL71esdLAHQMKadFOYn/mj7gwh+TZ1N0nrCAMALI5mIpBt7lsDA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"024407f8cf4ed454fc807b3a29e9f14b41445c49eebb4a9153f2aeb632b08eec","last_reissued_at":"2026-05-18T01:04:54.857790Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:04:54.857790Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Exact-dimensional property of density of states measure of Sturm Hamiltonian","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.MP"],"primary_cat":"math.DS","authors_text":"Yanhui Qu","submitted_at":"2016-09-08T09:30:40Z","abstract_excerpt":"For frequency $\\alpha$ of bounded type and coupling $\\lambda>20$, we show that the density of states measure $\\NN_{\\alpha,\\lambda}$ of the related Sturm Hamiltonian is exact upper and lower dimensional, however, in general it is not exact-dimensional."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1609.02347","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":"1609.02347","created_at":"2026-05-18T01:04:54.857883+00:00"},{"alias_kind":"arxiv_version","alias_value":"1609.02347v1","created_at":"2026-05-18T01:04:54.857883+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1609.02347","created_at":"2026-05-18T01:04:54.857883+00:00"},{"alias_kind":"pith_short_12","alias_value":"AJCAP6GPJ3KF","created_at":"2026-05-18T12:30:07.202191+00:00"},{"alias_kind":"pith_short_16","alias_value":"AJCAP6GPJ3KFJ7EA","created_at":"2026-05-18T12:30:07.202191+00:00"},{"alias_kind":"pith_short_8","alias_value":"AJCAP6GP","created_at":"2026-05-18T12:30:07.202191+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/AJCAP6GPJ3KFJ7EAPM5CT2PRJN","json":"https://pith.science/pith/AJCAP6GPJ3KFJ7EAPM5CT2PRJN.json","graph_json":"https://pith.science/api/pith-number/AJCAP6GPJ3KFJ7EAPM5CT2PRJN/graph.json","events_json":"https://pith.science/api/pith-number/AJCAP6GPJ3KFJ7EAPM5CT2PRJN/events.json","paper":"https://pith.science/paper/AJCAP6GP"},"agent_actions":{"view_html":"https://pith.science/pith/AJCAP6GPJ3KFJ7EAPM5CT2PRJN","download_json":"https://pith.science/pith/AJCAP6GPJ3KFJ7EAPM5CT2PRJN.json","view_paper":"https://pith.science/paper/AJCAP6GP","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1609.02347&json=true","fetch_graph":"https://pith.science/api/pith-number/AJCAP6GPJ3KFJ7EAPM5CT2PRJN/graph.json","fetch_events":"https://pith.science/api/pith-number/AJCAP6GPJ3KFJ7EAPM5CT2PRJN/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/AJCAP6GPJ3KFJ7EAPM5CT2PRJN/action/timestamp_anchor","attest_storage":"https://pith.science/pith/AJCAP6GPJ3KFJ7EAPM5CT2PRJN/action/storage_attestation","attest_author":"https://pith.science/pith/AJCAP6GPJ3KFJ7EAPM5CT2PRJN/action/author_attestation","sign_citation":"https://pith.science/pith/AJCAP6GPJ3KFJ7EAPM5CT2PRJN/action/citation_signature","submit_replication":"https://pith.science/pith/AJCAP6GPJ3KFJ7EAPM5CT2PRJN/action/replication_record"}},"created_at":"2026-05-18T01:04:54.857883+00:00","updated_at":"2026-05-18T01:04:54.857883+00:00"}