{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2026:RMNJ4W6IUBF53PM7AZNZTQQEL2","short_pith_number":"pith:RMNJ4W6I","schema_version":"1.0","canonical_sha256":"8b1a9e5bc8a04bddbd9f065b99c2045e8ec9f21136d794ca0a42b68f670d849e","source":{"kind":"arxiv","id":"2607.27920","version":1},"attestation_state":"computed","paper":{"title":"Clifford-Appell formulation of a Dirac-type Kronig-Penney model in condensed matter physics","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-th","math.MP"],"primary_cat":"math-ph","authors_text":"H. Malonek, L. Aceto, P.A. Grassi","submitted_at":"2026-07-30T09:31:20Z","abstract_excerpt":"We investigate the stationary Dirac equation associated with a generalized Kronig-Penney model in (N+1)-dimensional Clifford analysis. Away from the interaction sites, the free Dirac system is reformulated by introducing suitable generalized Cauchy-Riemann operators, leading to a coupled first-order system for two Clifford-valued fields. By means of characteristic hypercomplex variables, this system is reduced to a pair of decoupled generalized Helmholtz equations. To construct explicit solutions, we introduce a bivariate Clifford-Appell polynomial basis adapted to the generalized Cauchy-Riema"},"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":"2607.27920","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2026-07-30T09:31:20Z","cross_cats_sorted":["hep-th","math.MP"],"title_canon_sha256":"8d85533cae82476aa19073e3999f76143e684c4051d89c330adf6425768741f6","abstract_canon_sha256":"122fe3ff6ee2edc777db7fbb8724db6f9e5bd24722bc0283fa0af9800007d447"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"8b1a9e5bc8a04bddbd9f065b99c2045e8ec9f21136d794ca0a42b68f670d849e","last_reissued_at":"2026-07-31T01:34:48.217712Z","signature_status":"unsigned_v0","first_computed_at":"2026-07-31T01:34:48.217712Z"},"graph_snapshot":{"paper":{"title":"Clifford-Appell formulation of a Dirac-type Kronig-Penney model in condensed matter physics","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-th","math.MP"],"primary_cat":"math-ph","authors_text":"H. Malonek, L. Aceto, P.A. Grassi","submitted_at":"2026-07-30T09:31:20Z","abstract_excerpt":"We investigate the stationary Dirac equation associated with a generalized Kronig-Penney model in (N+1)-dimensional Clifford analysis. Away from the interaction sites, the free Dirac system is reformulated by introducing suitable generalized Cauchy-Riemann operators, leading to a coupled first-order system for two Clifford-valued fields. By means of characteristic hypercomplex variables, this system is reduced to a pair of decoupled generalized Helmholtz equations. To construct explicit solutions, we introduce a bivariate Clifford-Appell polynomial basis adapted to the generalized Cauchy-Riema"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2607.27920","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2607.27920/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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":"2607.27920","created_at":"2026-07-31T01:34:48.220870+00:00"},{"alias_kind":"arxiv_version","alias_value":"2607.27920v1","created_at":"2026-07-31T01:34:48.220870+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2607.27920","created_at":"2026-07-31T01:34:48.220870+00:00"},{"alias_kind":"pith_short_12","alias_value":"RMNJ4W6IUBF5","created_at":"2026-07-31T01:34:48.220870+00:00"},{"alias_kind":"pith_short_16","alias_value":"RMNJ4W6IUBF53PM7","created_at":"2026-07-31T01:34:48.220870+00:00"},{"alias_kind":"pith_short_8","alias_value":"RMNJ4W6I","created_at":"2026-07-31T01:34:48.220870+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/RMNJ4W6IUBF53PM7AZNZTQQEL2","json":"https://pith.science/pith/RMNJ4W6IUBF53PM7AZNZTQQEL2.json","graph_json":"https://pith.science/api/pith-number/RMNJ4W6IUBF53PM7AZNZTQQEL2/graph.json","events_json":"https://pith.science/api/pith-number/RMNJ4W6IUBF53PM7AZNZTQQEL2/events.json","paper":"https://pith.science/paper/RMNJ4W6I"},"agent_actions":{"view_html":"https://pith.science/pith/RMNJ4W6IUBF53PM7AZNZTQQEL2","download_json":"https://pith.science/pith/RMNJ4W6IUBF53PM7AZNZTQQEL2.json","view_paper":"https://pith.science/paper/RMNJ4W6I","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2607.27920&json=true","fetch_graph":"https://pith.science/api/pith-number/RMNJ4W6IUBF53PM7AZNZTQQEL2/graph.json","fetch_events":"https://pith.science/api/pith-number/RMNJ4W6IUBF53PM7AZNZTQQEL2/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/RMNJ4W6IUBF53PM7AZNZTQQEL2/action/timestamp_anchor","attest_storage":"https://pith.science/pith/RMNJ4W6IUBF53PM7AZNZTQQEL2/action/storage_attestation","attest_author":"https://pith.science/pith/RMNJ4W6IUBF53PM7AZNZTQQEL2/action/author_attestation","sign_citation":"https://pith.science/pith/RMNJ4W6IUBF53PM7AZNZTQQEL2/action/citation_signature","submit_replication":"https://pith.science/pith/RMNJ4W6IUBF53PM7AZNZTQQEL2/action/replication_record"}},"created_at":"2026-07-31T01:34:48.220870+00:00","updated_at":"2026-07-31T01:34:48.220870+00:00"}