{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2010:7J5LT6DB6J3WP2UPCAEYKPOQLB","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":"974d9755d1e144b95c0d85ed5fdf8affc7ec8d57c95de61fdededac6688c0162","cross_cats_sorted":["cond-mat.str-el"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.mtrl-sci","submitted_at":"2010-02-02T07:41:57Z","title_canon_sha256":"75316c12bfa50dd03c136740c9fb59ff0281729bb5b9cd3f008845fc26df6911"},"schema_version":"1.0","source":{"id":"1002.0407","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1002.0407","created_at":"2026-05-18T02:09:21Z"},{"alias_kind":"arxiv_version","alias_value":"1002.0407v1","created_at":"2026-05-18T02:09:21Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1002.0407","created_at":"2026-05-18T02:09:21Z"},{"alias_kind":"pith_short_12","alias_value":"7J5LT6DB6J3W","created_at":"2026-05-18T12:26:04Z"},{"alias_kind":"pith_short_16","alias_value":"7J5LT6DB6J3WP2UP","created_at":"2026-05-18T12:26:04Z"},{"alias_kind":"pith_short_8","alias_value":"7J5LT6DB","created_at":"2026-05-18T12:26:04Z"}],"graph_snapshots":[{"event_id":"sha256:e285057965fcf13f9c747425581ab6b301f95eba5c7e4f8390485a79673fe8de","target":"graph","created_at":"2026-05-18T02:09:21Z","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":"It is shown that for monolayer graphene electrons are confined on a perfect two dimensional surface. The implications for the electronic properties of corrugated graphene are discussed in view of a derivation of the constrained relativistic dynamics for the massless carriers in two dimensions. Surface curvature is related to a series of phenomena with practical applications such as curvature induced p-n junctions, band gap opening and decoherence. We also establish a bending free energy by treating graphene as a soft electronic membrane.","authors_text":"Avadh Saxena, Victor Atanasov","cross_cats":["cond-mat.str-el"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.mtrl-sci","submitted_at":"2010-02-02T07:41:57Z","title":"Tuning electronic properties of corrugated graphene: confinement, curvature and band gap opening"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1002.0407","kind":"arxiv","version":1},"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":"sha256:1902e6f98379f464d5a27cea69b96f0e1e510b739708023c0601d732ee7a140b","target":"record","created_at":"2026-05-18T02:09:21Z","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":"974d9755d1e144b95c0d85ed5fdf8affc7ec8d57c95de61fdededac6688c0162","cross_cats_sorted":["cond-mat.str-el"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.mtrl-sci","submitted_at":"2010-02-02T07:41:57Z","title_canon_sha256":"75316c12bfa50dd03c136740c9fb59ff0281729bb5b9cd3f008845fc26df6911"},"schema_version":"1.0","source":{"id":"1002.0407","kind":"arxiv","version":1}},"canonical_sha256":"fa7ab9f861f27767ea8f1009853dd05868e9e6712e0efe08b60b42cbc34682da","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"fa7ab9f861f27767ea8f1009853dd05868e9e6712e0efe08b60b42cbc34682da","first_computed_at":"2026-05-18T02:09:21.149621Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:09:21.149621Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"v2pLs2Goo7f7c8NK7xov+rFLd87Mh14gCVW3kNke99MpW79erahFTfszl2J+oK0VG7U/wD/Li/wasdggEsXoBQ==","signature_status":"signed_v1","signed_at":"2026-05-18T02:09:21.150165Z","signed_message":"canonical_sha256_bytes"},"source_id":"1002.0407","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:1902e6f98379f464d5a27cea69b96f0e1e510b739708023c0601d732ee7a140b","sha256:e285057965fcf13f9c747425581ab6b301f95eba5c7e4f8390485a79673fe8de"],"state_sha256":"0937e39378ba39721f6def31ba078faba04fa02dc5c71f9cfc239ea71660d1d1"}