{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2014:4HL3KHTW33MEJSUY6UDKE4JELX","short_pith_number":"pith:4HL3KHTW","schema_version":"1.0","canonical_sha256":"e1d7b51e76ded844ca98f506a271245dffca93f1fc340623ec2fcdac7ac548d4","source":{"kind":"arxiv","id":"1403.7329","version":2},"attestation_state":"computed","paper":{"title":"Discrete alloy-type models: Regularity of distributions and recent results","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.MP","math.SP"],"primary_cat":"math-ph","authors_text":"Ivan Veseli\\'c, Martin Tautenhahn","submitted_at":"2014-03-28T10:29:41Z","abstract_excerpt":"We consider discrete random Schr\\\"odinger operators on $\\ell^2 (\\mathbb{Z}^d)$ with a potential of discrete alloy-type structure. That is, the potential at lattice site $x \\in \\mathbb{Z}^d$ is given by a linear combination of independent identically distributed random variables, possibly with sign-changing coefficients. In a first part we show that the discrete alloy-type model is not uniformly $\\tau$-H\\\"older continuous, a frequently used condition in the literature of Anderson-type models with general random potentials. In a second part we review recent results on regularity properties of sp"},"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":"1403.7329","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2014-03-28T10:29:41Z","cross_cats_sorted":["math.MP","math.SP"],"title_canon_sha256":"70ffc9290750392b4e9386c54fb939015947fa9c84a924efd84f705645bee5b1","abstract_canon_sha256":"8cde899377b054583165d9b2996d92c9de60e800b3ac7d733ae823a514f25201"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:23:13.109745Z","signature_b64":"RnxXPWNaIUI9HHJGeiV2LA+VKvA4KEE6aZSF4bHs9KHazdRnWQX7hFo2K/chxeM8ghkXt+xky/rhekLbukgfDQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"e1d7b51e76ded844ca98f506a271245dffca93f1fc340623ec2fcdac7ac548d4","last_reissued_at":"2026-05-18T01:23:13.109255Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:23:13.109255Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Discrete alloy-type models: Regularity of distributions and recent results","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.MP","math.SP"],"primary_cat":"math-ph","authors_text":"Ivan Veseli\\'c, Martin Tautenhahn","submitted_at":"2014-03-28T10:29:41Z","abstract_excerpt":"We consider discrete random Schr\\\"odinger operators on $\\ell^2 (\\mathbb{Z}^d)$ with a potential of discrete alloy-type structure. That is, the potential at lattice site $x \\in \\mathbb{Z}^d$ is given by a linear combination of independent identically distributed random variables, possibly with sign-changing coefficients. In a first part we show that the discrete alloy-type model is not uniformly $\\tau$-H\\\"older continuous, a frequently used condition in the literature of Anderson-type models with general random potentials. In a second part we review recent results on regularity properties of sp"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1403.7329","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":"1403.7329","created_at":"2026-05-18T01:23:13.109328+00:00"},{"alias_kind":"arxiv_version","alias_value":"1403.7329v2","created_at":"2026-05-18T01:23:13.109328+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1403.7329","created_at":"2026-05-18T01:23:13.109328+00:00"},{"alias_kind":"pith_short_12","alias_value":"4HL3KHTW33ME","created_at":"2026-05-18T12:28:14.216126+00:00"},{"alias_kind":"pith_short_16","alias_value":"4HL3KHTW33MEJSUY","created_at":"2026-05-18T12:28:14.216126+00:00"},{"alias_kind":"pith_short_8","alias_value":"4HL3KHTW","created_at":"2026-05-18T12:28:14.216126+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/4HL3KHTW33MEJSUY6UDKE4JELX","json":"https://pith.science/pith/4HL3KHTW33MEJSUY6UDKE4JELX.json","graph_json":"https://pith.science/api/pith-number/4HL3KHTW33MEJSUY6UDKE4JELX/graph.json","events_json":"https://pith.science/api/pith-number/4HL3KHTW33MEJSUY6UDKE4JELX/events.json","paper":"https://pith.science/paper/4HL3KHTW"},"agent_actions":{"view_html":"https://pith.science/pith/4HL3KHTW33MEJSUY6UDKE4JELX","download_json":"https://pith.science/pith/4HL3KHTW33MEJSUY6UDKE4JELX.json","view_paper":"https://pith.science/paper/4HL3KHTW","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1403.7329&json=true","fetch_graph":"https://pith.science/api/pith-number/4HL3KHTW33MEJSUY6UDKE4JELX/graph.json","fetch_events":"https://pith.science/api/pith-number/4HL3KHTW33MEJSUY6UDKE4JELX/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/4HL3KHTW33MEJSUY6UDKE4JELX/action/timestamp_anchor","attest_storage":"https://pith.science/pith/4HL3KHTW33MEJSUY6UDKE4JELX/action/storage_attestation","attest_author":"https://pith.science/pith/4HL3KHTW33MEJSUY6UDKE4JELX/action/author_attestation","sign_citation":"https://pith.science/pith/4HL3KHTW33MEJSUY6UDKE4JELX/action/citation_signature","submit_replication":"https://pith.science/pith/4HL3KHTW33MEJSUY6UDKE4JELX/action/replication_record"}},"created_at":"2026-05-18T01:23:13.109328+00:00","updated_at":"2026-05-18T01:23:13.109328+00:00"}