{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2018:KZT3XCRI4UKXYQGMXFCGIMLJWB","short_pith_number":"pith:KZT3XCRI","schema_version":"1.0","canonical_sha256":"5667bb8a28e5157c40ccb944643169b047d664ee8f4517c7a9cfff069c65141d","source":{"kind":"arxiv","id":"1804.06681","version":1},"attestation_state":"computed","paper":{"title":"Contact interactions and Kronig-Penney Models in Hermitian and PT-symmetric Quantum Mechanics","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["physics.optics"],"primary_cat":"quant-ph","authors_text":"Foster Thompson, Harsh Mathur, Katherine Jones-Smith, Kristin McKee","submitted_at":"2018-04-18T12:30:12Z","abstract_excerpt":"The delta function potential is a simple model of zero-range contact interaction in one dimension. The Kronig-Penney model is a one-dimensional periodic array of delta functions that models the energy bands in a crystal. Here we investigate contact interactions that generalize the delta function potential and corresponding generalizations of the Kronig-Penney model within conventional and parity-time symmetric quantum mechanics (PTQM). In conventional quantum mechanics we determine the most general contact interaction compatible with self-adjointness; in PTQM we consider interactions that are "},"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":"1804.06681","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2018-04-18T12:30:12Z","cross_cats_sorted":["physics.optics"],"title_canon_sha256":"ccb6751a6efdaeac235b9a40d6758c69bc492e6b8f2445a43df6fca1d7526af8","abstract_canon_sha256":"39431e0e4ab1a1f3131e448f066a357190d783db01afa8e04aea7715269fce26"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:56:25.085538Z","signature_b64":"BxAXVY9m6XAGXTNZjJwQhANoIUXRXA17qzyD1EyPKXa7NubcPUqrOZW63S9mP3/qYZRQzdcZDh1kUqHb366ACA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"5667bb8a28e5157c40ccb944643169b047d664ee8f4517c7a9cfff069c65141d","last_reissued_at":"2026-05-17T23:56:25.085132Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:56:25.085132Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Contact interactions and Kronig-Penney Models in Hermitian and PT-symmetric Quantum Mechanics","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["physics.optics"],"primary_cat":"quant-ph","authors_text":"Foster Thompson, Harsh Mathur, Katherine Jones-Smith, Kristin McKee","submitted_at":"2018-04-18T12:30:12Z","abstract_excerpt":"The delta function potential is a simple model of zero-range contact interaction in one dimension. The Kronig-Penney model is a one-dimensional periodic array of delta functions that models the energy bands in a crystal. Here we investigate contact interactions that generalize the delta function potential and corresponding generalizations of the Kronig-Penney model within conventional and parity-time symmetric quantum mechanics (PTQM). In conventional quantum mechanics we determine the most general contact interaction compatible with self-adjointness; in PTQM we consider interactions that are "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1804.06681","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":"1804.06681","created_at":"2026-05-17T23:56:25.085189+00:00"},{"alias_kind":"arxiv_version","alias_value":"1804.06681v1","created_at":"2026-05-17T23:56:25.085189+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1804.06681","created_at":"2026-05-17T23:56:25.085189+00:00"},{"alias_kind":"pith_short_12","alias_value":"KZT3XCRI4UKX","created_at":"2026-05-18T12:32:33.847187+00:00"},{"alias_kind":"pith_short_16","alias_value":"KZT3XCRI4UKXYQGM","created_at":"2026-05-18T12:32:33.847187+00:00"},{"alias_kind":"pith_short_8","alias_value":"KZT3XCRI","created_at":"2026-05-18T12:32:33.847187+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/KZT3XCRI4UKXYQGMXFCGIMLJWB","json":"https://pith.science/pith/KZT3XCRI4UKXYQGMXFCGIMLJWB.json","graph_json":"https://pith.science/api/pith-number/KZT3XCRI4UKXYQGMXFCGIMLJWB/graph.json","events_json":"https://pith.science/api/pith-number/KZT3XCRI4UKXYQGMXFCGIMLJWB/events.json","paper":"https://pith.science/paper/KZT3XCRI"},"agent_actions":{"view_html":"https://pith.science/pith/KZT3XCRI4UKXYQGMXFCGIMLJWB","download_json":"https://pith.science/pith/KZT3XCRI4UKXYQGMXFCGIMLJWB.json","view_paper":"https://pith.science/paper/KZT3XCRI","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1804.06681&json=true","fetch_graph":"https://pith.science/api/pith-number/KZT3XCRI4UKXYQGMXFCGIMLJWB/graph.json","fetch_events":"https://pith.science/api/pith-number/KZT3XCRI4UKXYQGMXFCGIMLJWB/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/KZT3XCRI4UKXYQGMXFCGIMLJWB/action/timestamp_anchor","attest_storage":"https://pith.science/pith/KZT3XCRI4UKXYQGMXFCGIMLJWB/action/storage_attestation","attest_author":"https://pith.science/pith/KZT3XCRI4UKXYQGMXFCGIMLJWB/action/author_attestation","sign_citation":"https://pith.science/pith/KZT3XCRI4UKXYQGMXFCGIMLJWB/action/citation_signature","submit_replication":"https://pith.science/pith/KZT3XCRI4UKXYQGMXFCGIMLJWB/action/replication_record"}},"created_at":"2026-05-17T23:56:25.085189+00:00","updated_at":"2026-05-17T23:56:25.085189+00:00"}