{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2017:MADH4LGN6YCT626AHSK5QMIP7Q","short_pith_number":"pith:MADH4LGN","schema_version":"1.0","canonical_sha256":"60067e2ccdf6053f6bc03c95d8310ffc24c5789343210a9906b9fae163ad04fd","source":{"kind":"arxiv","id":"1703.07769","version":2},"attestation_state":"computed","paper":{"title":"Diffraction catastrophes and semiclassical quantum mechanics for Veselago lensing in graphene","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.mes-hall","authors_text":"K. J. A. Reijnders, M. I. Katsnelson","submitted_at":"2017-03-22T17:51:38Z","abstract_excerpt":"We study the effect of trigonal warping on the focussing of electrons by n-p junctions in graphene. We find that perfect focussing, which was predicted for massless Dirac fermions, is only preserved for one specific sample orientation. In the general case, trigonal warping leads to the formation of cusp caustics, with a different position of the focus for graphene's two valleys. We develop a semiclassical theory to compute these positions and find very good agreement with tight-binding simulations. Considering the transmission as a function of potential strength, we find that trigonal warping "},"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":"1703.07769","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.mes-hall","submitted_at":"2017-03-22T17:51:38Z","cross_cats_sorted":[],"title_canon_sha256":"6f0b7e0d88c42bb73818f0f47118283bea8ba347428f1a127c6b1588222b39af","abstract_canon_sha256":"35a8b35baa8e66b3b57b1263d5ed0620bbc5469d559c233e3cc6631097d235b8"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:39:46.579016Z","signature_b64":"lY/3/84hd2tKifHJ4aRBE4tBmLXmElsTk5jbFG6hS3SSjwZnfCEmpOA8wuccoMpZTtCHkem5lekqWoj4+LRsDQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"60067e2ccdf6053f6bc03c95d8310ffc24c5789343210a9906b9fae163ad04fd","last_reissued_at":"2026-05-18T00:39:46.578380Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:39:46.578380Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Diffraction catastrophes and semiclassical quantum mechanics for Veselago lensing in graphene","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.mes-hall","authors_text":"K. J. A. Reijnders, M. I. Katsnelson","submitted_at":"2017-03-22T17:51:38Z","abstract_excerpt":"We study the effect of trigonal warping on the focussing of electrons by n-p junctions in graphene. We find that perfect focussing, which was predicted for massless Dirac fermions, is only preserved for one specific sample orientation. In the general case, trigonal warping leads to the formation of cusp caustics, with a different position of the focus for graphene's two valleys. We develop a semiclassical theory to compute these positions and find very good agreement with tight-binding simulations. Considering the transmission as a function of potential strength, we find that trigonal warping "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1703.07769","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":"1703.07769","created_at":"2026-05-18T00:39:46.578471+00:00"},{"alias_kind":"arxiv_version","alias_value":"1703.07769v2","created_at":"2026-05-18T00:39:46.578471+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1703.07769","created_at":"2026-05-18T00:39:46.578471+00:00"},{"alias_kind":"pith_short_12","alias_value":"MADH4LGN6YCT","created_at":"2026-05-18T12:31:31.346846+00:00"},{"alias_kind":"pith_short_16","alias_value":"MADH4LGN6YCT626A","created_at":"2026-05-18T12:31:31.346846+00:00"},{"alias_kind":"pith_short_8","alias_value":"MADH4LGN","created_at":"2026-05-18T12:31:31.346846+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/MADH4LGN6YCT626AHSK5QMIP7Q","json":"https://pith.science/pith/MADH4LGN6YCT626AHSK5QMIP7Q.json","graph_json":"https://pith.science/api/pith-number/MADH4LGN6YCT626AHSK5QMIP7Q/graph.json","events_json":"https://pith.science/api/pith-number/MADH4LGN6YCT626AHSK5QMIP7Q/events.json","paper":"https://pith.science/paper/MADH4LGN"},"agent_actions":{"view_html":"https://pith.science/pith/MADH4LGN6YCT626AHSK5QMIP7Q","download_json":"https://pith.science/pith/MADH4LGN6YCT626AHSK5QMIP7Q.json","view_paper":"https://pith.science/paper/MADH4LGN","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1703.07769&json=true","fetch_graph":"https://pith.science/api/pith-number/MADH4LGN6YCT626AHSK5QMIP7Q/graph.json","fetch_events":"https://pith.science/api/pith-number/MADH4LGN6YCT626AHSK5QMIP7Q/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/MADH4LGN6YCT626AHSK5QMIP7Q/action/timestamp_anchor","attest_storage":"https://pith.science/pith/MADH4LGN6YCT626AHSK5QMIP7Q/action/storage_attestation","attest_author":"https://pith.science/pith/MADH4LGN6YCT626AHSK5QMIP7Q/action/author_attestation","sign_citation":"https://pith.science/pith/MADH4LGN6YCT626AHSK5QMIP7Q/action/citation_signature","submit_replication":"https://pith.science/pith/MADH4LGN6YCT626AHSK5QMIP7Q/action/replication_record"}},"created_at":"2026-05-18T00:39:46.578471+00:00","updated_at":"2026-05-18T00:39:46.578471+00:00"}