{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2011:3JG7IB2MBTM7TAKL7A34HEYVIT","short_pith_number":"pith:3JG7IB2M","schema_version":"1.0","canonical_sha256":"da4df4074c0cd9f9814bf837c3931544dead42687529c9ceef8c8ca6636440f8","source":{"kind":"arxiv","id":"1109.0884","version":3},"attestation_state":"computed","paper":{"title":"Dirac boundary condition at the reconstructed zigzag edge of graphene","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.mes-hall","authors_text":"A. R. Akhmerov, C. W. J. Beenakker, J. A. M. van Ostaay, M. Wimmer","submitted_at":"2011-09-05T13:13:41Z","abstract_excerpt":"Edge reconstruction modifies the electronic properties of finite graphene samples. We formulate a low-energy theory of the reconstructed zigzag edge by deriving the modified boundary condition to the Dirac equation. If the unit cell size of the reconstructed edge is not a multiple of three with respect to the zigzag unit cell, valleys remain uncoupled and the edge reconstruction is accounted for by a single angular parameter $\\vartheta$. Dispersive edge states exist generically, unless $|\\vartheta| = \\pi/2$. We compute $\\vartheta$ from a microscopic model for the \"reczag\" reconstruction (conve"},"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":"1109.0884","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.mes-hall","submitted_at":"2011-09-05T13:13:41Z","cross_cats_sorted":[],"title_canon_sha256":"2989665f9f4362d49b94443a76ea8853c36ee7463d1c12b6c6abdda9f4b3a4d3","abstract_canon_sha256":"42e877bd4a4314afec8da7c1c65574c6ff9531c7cea24f10032865f737690977"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:19:11.847439Z","signature_b64":"HNvh9zOEQoeqGL9i719TLWCYyJP/TG/2S1nruV3iQ4h+EjlnfeKnWO+6CzG/KIjwcYINAPmSArnW2vPNmNOEAg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"da4df4074c0cd9f9814bf837c3931544dead42687529c9ceef8c8ca6636440f8","last_reissued_at":"2026-05-18T03:19:11.846980Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:19:11.846980Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Dirac boundary condition at the reconstructed zigzag edge of graphene","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.mes-hall","authors_text":"A. R. Akhmerov, C. W. J. Beenakker, J. A. M. van Ostaay, M. Wimmer","submitted_at":"2011-09-05T13:13:41Z","abstract_excerpt":"Edge reconstruction modifies the electronic properties of finite graphene samples. We formulate a low-energy theory of the reconstructed zigzag edge by deriving the modified boundary condition to the Dirac equation. If the unit cell size of the reconstructed edge is not a multiple of three with respect to the zigzag unit cell, valleys remain uncoupled and the edge reconstruction is accounted for by a single angular parameter $\\vartheta$. Dispersive edge states exist generically, unless $|\\vartheta| = \\pi/2$. We compute $\\vartheta$ from a microscopic model for the \"reczag\" reconstruction (conve"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1109.0884","kind":"arxiv","version":3},"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":"1109.0884","created_at":"2026-05-18T03:19:11.847050+00:00"},{"alias_kind":"arxiv_version","alias_value":"1109.0884v3","created_at":"2026-05-18T03:19:11.847050+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1109.0884","created_at":"2026-05-18T03:19:11.847050+00:00"},{"alias_kind":"pith_short_12","alias_value":"3JG7IB2MBTM7","created_at":"2026-05-18T12:26:18.847500+00:00"},{"alias_kind":"pith_short_16","alias_value":"3JG7IB2MBTM7TAKL","created_at":"2026-05-18T12:26:18.847500+00:00"},{"alias_kind":"pith_short_8","alias_value":"3JG7IB2M","created_at":"2026-05-18T12:26:18.847500+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/3JG7IB2MBTM7TAKL7A34HEYVIT","json":"https://pith.science/pith/3JG7IB2MBTM7TAKL7A34HEYVIT.json","graph_json":"https://pith.science/api/pith-number/3JG7IB2MBTM7TAKL7A34HEYVIT/graph.json","events_json":"https://pith.science/api/pith-number/3JG7IB2MBTM7TAKL7A34HEYVIT/events.json","paper":"https://pith.science/paper/3JG7IB2M"},"agent_actions":{"view_html":"https://pith.science/pith/3JG7IB2MBTM7TAKL7A34HEYVIT","download_json":"https://pith.science/pith/3JG7IB2MBTM7TAKL7A34HEYVIT.json","view_paper":"https://pith.science/paper/3JG7IB2M","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1109.0884&json=true","fetch_graph":"https://pith.science/api/pith-number/3JG7IB2MBTM7TAKL7A34HEYVIT/graph.json","fetch_events":"https://pith.science/api/pith-number/3JG7IB2MBTM7TAKL7A34HEYVIT/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/3JG7IB2MBTM7TAKL7A34HEYVIT/action/timestamp_anchor","attest_storage":"https://pith.science/pith/3JG7IB2MBTM7TAKL7A34HEYVIT/action/storage_attestation","attest_author":"https://pith.science/pith/3JG7IB2MBTM7TAKL7A34HEYVIT/action/author_attestation","sign_citation":"https://pith.science/pith/3JG7IB2MBTM7TAKL7A34HEYVIT/action/citation_signature","submit_replication":"https://pith.science/pith/3JG7IB2MBTM7TAKL7A34HEYVIT/action/replication_record"}},"created_at":"2026-05-18T03:19:11.847050+00:00","updated_at":"2026-05-18T03:19:11.847050+00:00"}