{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2014:WJEUPXVAOKOMLOQPYPREY7DEFQ","short_pith_number":"pith:WJEUPXVA","schema_version":"1.0","canonical_sha256":"b24947dea0729cc5ba0fc3e24c7c642c0c2892408b7522981315f12bd06ed251","source":{"kind":"arxiv","id":"1402.3751","version":1},"attestation_state":"computed","paper":{"title":"Graphene's morphology and electronic properties from discrete differential geometry","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.mes-hall","authors_text":"Alejandro A. Pacheco Sanjuan, Hamed Pour Imani, Mihajlo Vanevi\\'c, Salvador Barraza-Lopez, Zhengfei Wang","submitted_at":"2014-02-16T03:13:30Z","abstract_excerpt":"The geometry of two-dimensional crystalline membranes dictates their mechanical, electronic and chemical properties. The local geometry of a surface is determined from the two invariants of the metric and the curvature tensors. Here we discuss those invariants directly from atomic positions in terms of angles, areas, vertex and normal vectors from carbon atoms on the graphene lattice, for arbitrary elastic regimes and atomic conformations, and without recourse to an effective continuum model. The geometrical analysis of graphene membranes under mechanical load is complemented with a study of t"},"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":"1402.3751","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.mes-hall","submitted_at":"2014-02-16T03:13:30Z","cross_cats_sorted":[],"title_canon_sha256":"246f6c6a79791ae6b681e7b80f4fd98477012a67611f5c03e050807b80c67c85","abstract_canon_sha256":"9f423d1aa5a0223eb2c49186938efc551e498a9bbe1cac1a90806fca7828a85d"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:56:59.444615Z","signature_b64":"Qko93MHKc8AFmZc8RwXFU0XyDDj7TR5G0j/77HW+MBp1A7p1vGSIu+TPm/KcmPTHb2Nvj15Jhpx1Ab9jw0WdCg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"b24947dea0729cc5ba0fc3e24c7c642c0c2892408b7522981315f12bd06ed251","last_reissued_at":"2026-05-18T02:56:59.444161Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:56:59.444161Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Graphene's morphology and electronic properties from discrete differential geometry","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.mes-hall","authors_text":"Alejandro A. Pacheco Sanjuan, Hamed Pour Imani, Mihajlo Vanevi\\'c, Salvador Barraza-Lopez, Zhengfei Wang","submitted_at":"2014-02-16T03:13:30Z","abstract_excerpt":"The geometry of two-dimensional crystalline membranes dictates their mechanical, electronic and chemical properties. The local geometry of a surface is determined from the two invariants of the metric and the curvature tensors. Here we discuss those invariants directly from atomic positions in terms of angles, areas, vertex and normal vectors from carbon atoms on the graphene lattice, for arbitrary elastic regimes and atomic conformations, and without recourse to an effective continuum model. The geometrical analysis of graphene membranes under mechanical load is complemented with a study of t"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1402.3751","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":"1402.3751","created_at":"2026-05-18T02:56:59.444227+00:00"},{"alias_kind":"arxiv_version","alias_value":"1402.3751v1","created_at":"2026-05-18T02:56:59.444227+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1402.3751","created_at":"2026-05-18T02:56:59.444227+00:00"},{"alias_kind":"pith_short_12","alias_value":"WJEUPXVAOKOM","created_at":"2026-05-18T12:28:54.890064+00:00"},{"alias_kind":"pith_short_16","alias_value":"WJEUPXVAOKOMLOQP","created_at":"2026-05-18T12:28:54.890064+00:00"},{"alias_kind":"pith_short_8","alias_value":"WJEUPXVA","created_at":"2026-05-18T12:28:54.890064+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/WJEUPXVAOKOMLOQPYPREY7DEFQ","json":"https://pith.science/pith/WJEUPXVAOKOMLOQPYPREY7DEFQ.json","graph_json":"https://pith.science/api/pith-number/WJEUPXVAOKOMLOQPYPREY7DEFQ/graph.json","events_json":"https://pith.science/api/pith-number/WJEUPXVAOKOMLOQPYPREY7DEFQ/events.json","paper":"https://pith.science/paper/WJEUPXVA"},"agent_actions":{"view_html":"https://pith.science/pith/WJEUPXVAOKOMLOQPYPREY7DEFQ","download_json":"https://pith.science/pith/WJEUPXVAOKOMLOQPYPREY7DEFQ.json","view_paper":"https://pith.science/paper/WJEUPXVA","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1402.3751&json=true","fetch_graph":"https://pith.science/api/pith-number/WJEUPXVAOKOMLOQPYPREY7DEFQ/graph.json","fetch_events":"https://pith.science/api/pith-number/WJEUPXVAOKOMLOQPYPREY7DEFQ/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/WJEUPXVAOKOMLOQPYPREY7DEFQ/action/timestamp_anchor","attest_storage":"https://pith.science/pith/WJEUPXVAOKOMLOQPYPREY7DEFQ/action/storage_attestation","attest_author":"https://pith.science/pith/WJEUPXVAOKOMLOQPYPREY7DEFQ/action/author_attestation","sign_citation":"https://pith.science/pith/WJEUPXVAOKOMLOQPYPREY7DEFQ/action/citation_signature","submit_replication":"https://pith.science/pith/WJEUPXVAOKOMLOQPYPREY7DEFQ/action/replication_record"}},"created_at":"2026-05-18T02:56:59.444227+00:00","updated_at":"2026-05-18T02:56:59.444227+00:00"}