{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2013:7HYH44GBJKSW76XX3IK64P5LTV","short_pith_number":"pith:7HYH44GB","schema_version":"1.0","canonical_sha256":"f9f07e70c14aa56ffaf7da15ee3fab9d7e9f9fa0d5380b30a21c3ec2a0b39ade","source":{"kind":"arxiv","id":"1309.3831","version":1},"attestation_state":"computed","paper":{"title":"Asymptotic spectral analysis in semiconductor nanowire heterostructures","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.SP"],"primary_cat":"math.AP","authors_text":"Carolin Kreisbeck, Lu\\'isa Mascarenhas","submitted_at":"2013-09-16T05:50:16Z","abstract_excerpt":"Mathematical settings in which heterogeneous structures affect electron transport through a tube-shaped quantum waveguide are studied, highlighting the interaction between heterogeneities and geometric parameters like curvature and torsion. First, the macroscopic behavior of a nanowire made of composite fibers with microscopic periodic texture is analyzed, which amounts to determining the asymptotic behavior of the spectrum of an elliptic Dirichlet eigenvalue problem with finely oscillating coefficients in a tube with shrinking cross section. A suitable formal expansion suggests that the effec"},"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":"1309.3831","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2013-09-16T05:50:16Z","cross_cats_sorted":["math.SP"],"title_canon_sha256":"8e8822ddfa8641c97976d7454853408f5384cd9ca9b03d58d9d4b229b4bdfd75","abstract_canon_sha256":"6f6eae6960502d735d6b11b13d1aae4e9bf1110fe93b84ed99ec92f2139f39f0"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:13:20.429022Z","signature_b64":"4gWgiV+Z9Y14R2VhZC3wCnWbhZHg3cy+eErRoq5bs9O2ecPKY/76hqmw501+vN7cC76czETLP1b2XTxFyEVbBw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"f9f07e70c14aa56ffaf7da15ee3fab9d7e9f9fa0d5380b30a21c3ec2a0b39ade","last_reissued_at":"2026-05-18T03:13:20.428272Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:13:20.428272Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Asymptotic spectral analysis in semiconductor nanowire heterostructures","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.SP"],"primary_cat":"math.AP","authors_text":"Carolin Kreisbeck, Lu\\'isa Mascarenhas","submitted_at":"2013-09-16T05:50:16Z","abstract_excerpt":"Mathematical settings in which heterogeneous structures affect electron transport through a tube-shaped quantum waveguide are studied, highlighting the interaction between heterogeneities and geometric parameters like curvature and torsion. First, the macroscopic behavior of a nanowire made of composite fibers with microscopic periodic texture is analyzed, which amounts to determining the asymptotic behavior of the spectrum of an elliptic Dirichlet eigenvalue problem with finely oscillating coefficients in a tube with shrinking cross section. A suitable formal expansion suggests that the effec"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1309.3831","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":"1309.3831","created_at":"2026-05-18T03:13:20.428401+00:00"},{"alias_kind":"arxiv_version","alias_value":"1309.3831v1","created_at":"2026-05-18T03:13:20.428401+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1309.3831","created_at":"2026-05-18T03:13:20.428401+00:00"},{"alias_kind":"pith_short_12","alias_value":"7HYH44GBJKSW","created_at":"2026-05-18T12:27:36.564083+00:00"},{"alias_kind":"pith_short_16","alias_value":"7HYH44GBJKSW76XX","created_at":"2026-05-18T12:27:36.564083+00:00"},{"alias_kind":"pith_short_8","alias_value":"7HYH44GB","created_at":"2026-05-18T12:27:36.564083+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/7HYH44GBJKSW76XX3IK64P5LTV","json":"https://pith.science/pith/7HYH44GBJKSW76XX3IK64P5LTV.json","graph_json":"https://pith.science/api/pith-number/7HYH44GBJKSW76XX3IK64P5LTV/graph.json","events_json":"https://pith.science/api/pith-number/7HYH44GBJKSW76XX3IK64P5LTV/events.json","paper":"https://pith.science/paper/7HYH44GB"},"agent_actions":{"view_html":"https://pith.science/pith/7HYH44GBJKSW76XX3IK64P5LTV","download_json":"https://pith.science/pith/7HYH44GBJKSW76XX3IK64P5LTV.json","view_paper":"https://pith.science/paper/7HYH44GB","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1309.3831&json=true","fetch_graph":"https://pith.science/api/pith-number/7HYH44GBJKSW76XX3IK64P5LTV/graph.json","fetch_events":"https://pith.science/api/pith-number/7HYH44GBJKSW76XX3IK64P5LTV/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/7HYH44GBJKSW76XX3IK64P5LTV/action/timestamp_anchor","attest_storage":"https://pith.science/pith/7HYH44GBJKSW76XX3IK64P5LTV/action/storage_attestation","attest_author":"https://pith.science/pith/7HYH44GBJKSW76XX3IK64P5LTV/action/author_attestation","sign_citation":"https://pith.science/pith/7HYH44GBJKSW76XX3IK64P5LTV/action/citation_signature","submit_replication":"https://pith.science/pith/7HYH44GBJKSW76XX3IK64P5LTV/action/replication_record"}},"created_at":"2026-05-18T03:13:20.428401+00:00","updated_at":"2026-05-18T03:13:20.428401+00:00"}