{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:WCHLXLZKJAGODEJ4JVCXIZNCNL","merge_version":"pith-open-graph-merge-v1","event_count":2,"valid_event_count":2,"invalid_event_count":0,"equivocation_count":0,"current":{"canonical_record":{"metadata":{"abstract_canon_sha256":"65c02d496e1d22e4f13b451eb9b82ba8c13eb7a996fd67e6b84f0c7936819a82","cross_cats_sorted":["gr-qc"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.mes-hall","submitted_at":"2015-12-18T19:00:19Z","title_canon_sha256":"c623923418cb2d550a38b4f2aa46d2d643a94b63fd683852adc581fd742c80f5"},"schema_version":"1.0","source":{"id":"1512.06750","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1512.06750","created_at":"2026-05-18T01:14:20Z"},{"alias_kind":"arxiv_version","alias_value":"1512.06750v3","created_at":"2026-05-18T01:14:20Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1512.06750","created_at":"2026-05-18T01:14:20Z"},{"alias_kind":"pith_short_12","alias_value":"WCHLXLZKJAGO","created_at":"2026-05-18T12:29:47Z"},{"alias_kind":"pith_short_16","alias_value":"WCHLXLZKJAGODEJ4","created_at":"2026-05-18T12:29:47Z"},{"alias_kind":"pith_short_8","alias_value":"WCHLXLZK","created_at":"2026-05-18T12:29:47Z"}],"graph_snapshots":[{"event_id":"sha256:bdf557a08819e50f122fc0517789c82f7ab0a0eb0f7c252258257bc3a66a2f4c","target":"graph","created_at":"2026-05-18T01:14:20Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"graph_snapshot":{"author_claims":{"count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","strong_count":0},"builder_version":"pith-number-builder-2026-05-17-v1","claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"paper":{"abstract_excerpt":"In this work we compare two fundamentally different approaches to the electronic transport in deformed graphene: a) the condensed matter approach in which current flow paths are obtained by applying the non-equilibrium Green's function (NEGF) method to the tight-binding model with local strain, b) the general relativistic approach in which classical trajectories of relativistic point particles moving in a curved surface with a pseudo-magnetic field are calculated. The connection between the two is established in the long-wave limit via an effective Dirac Hamiltonian in curved space. Geometrica","authors_text":"Nikodem Szpak, Thomas Stegmann","cross_cats":["gr-qc"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.mes-hall","submitted_at":"2015-12-18T19:00:19Z","title":"Current flow paths in deformed graphene: from quantum transport to classical trajectories in curved space"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1512.06750","kind":"arxiv","version":3},"verdict":{"created_at":null,"id":null,"model_set":{},"one_line_summary":"","pipeline_version":null,"pith_extraction_headline":"","strongest_claim":"","weakest_assumption":""}},"verdict_id":null}}],"author_attestations":[],"timestamp_anchors":[],"storage_attestations":[],"citation_signatures":[],"replication_records":[],"corrections":[],"mirror_hints":[],"record_created":{"event_id":"sha256:87699d2cd6477ff7b3fb2b72aac94af18dd44a18f7932f26825bed033b76eb12","target":"record","created_at":"2026-05-18T01:14:20Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"attestation_state":"computed","canonical_record":{"metadata":{"abstract_canon_sha256":"65c02d496e1d22e4f13b451eb9b82ba8c13eb7a996fd67e6b84f0c7936819a82","cross_cats_sorted":["gr-qc"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.mes-hall","submitted_at":"2015-12-18T19:00:19Z","title_canon_sha256":"c623923418cb2d550a38b4f2aa46d2d643a94b63fd683852adc581fd742c80f5"},"schema_version":"1.0","source":{"id":"1512.06750","kind":"arxiv","version":3}},"canonical_sha256":"b08ebbaf2a480ce1913c4d457465a26adc8d72a51f033ec550a1bdf33592e610","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"b08ebbaf2a480ce1913c4d457465a26adc8d72a51f033ec550a1bdf33592e610","first_computed_at":"2026-05-18T01:14:20.611530Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:14:20.611530Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"ewduSPhd/EI4bTaLG7yMxisjLsu1UoPzWTaTwIg80rRYx5QOTiSbWwjG6iB5q2K4iF3qBS5J1ZBRBvfMzFrDCQ==","signature_status":"signed_v1","signed_at":"2026-05-18T01:14:20.612116Z","signed_message":"canonical_sha256_bytes"},"source_id":"1512.06750","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:87699d2cd6477ff7b3fb2b72aac94af18dd44a18f7932f26825bed033b76eb12","sha256:bdf557a08819e50f122fc0517789c82f7ab0a0eb0f7c252258257bc3a66a2f4c"],"state_sha256":"c9bbd917882682103fd2ddeb09a10b0485f4e978d631ac8ccb8a1f0260c06086"}