{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2009:AH7EMAKKT7SU33Z6RN4FCB4HFT","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":"15a6467d3f5e60c78727f630324bbc7da18d25ebc9e53c5502f1d43afbdeece9","cross_cats_sorted":["cond-mat.mtrl-sci"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.mes-hall","submitted_at":"2009-04-03T10:00:27Z","title_canon_sha256":"4ee27912c4295c5691e7008282debcf98f4a1fa3fd97854dacf150373253e1cf"},"schema_version":"1.0","source":{"id":"0904.0540","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0904.0540","created_at":"2026-05-18T02:14:07Z"},{"alias_kind":"arxiv_version","alias_value":"0904.0540v1","created_at":"2026-05-18T02:14:07Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0904.0540","created_at":"2026-05-18T02:14:07Z"},{"alias_kind":"pith_short_12","alias_value":"AH7EMAKKT7SU","created_at":"2026-05-18T12:25:58Z"},{"alias_kind":"pith_short_16","alias_value":"AH7EMAKKT7SU33Z6","created_at":"2026-05-18T12:25:58Z"},{"alias_kind":"pith_short_8","alias_value":"AH7EMAKK","created_at":"2026-05-18T12:25:58Z"}],"graph_snapshots":[{"event_id":"sha256:258548705a1303b481bbabb899ad32c0423d96177c3004df35f00bd02acce073","target":"graph","created_at":"2026-05-18T02:14:07Z","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":"We investigate the effect of a periodic potential on the electronic states and conductance of graphene. It is demonstrated that for a cosine potential $V(x)=V_0\\cos(G_0x)$, new zero energy states emerge whenever $J_0(\\frac {2V_0}{\\hbar v_F G_0})=0$. The phase of the wavefunctions of these states is shown to be related to periodic solutions of the equation of motion of an overdamped particle in a periodic potential, subject to a periodic force. Numerical solutions of the Dirac equation confirm the existence of these states, and demonstrate the chirality of states in their vicinity. Conductance ","authors_text":"H.A.Fertig, L.Brey","cross_cats":["cond-mat.mtrl-sci"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.mes-hall","submitted_at":"2009-04-03T10:00:27Z","title":"Emerging Zero Modes for Graphene in a Periodic Potential"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0904.0540","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":"sha256:00565fbab3d3121e3fd479522edf3c57e733798a8a893ba327043a29aaae695b","target":"record","created_at":"2026-05-18T02:14:07Z","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":"15a6467d3f5e60c78727f630324bbc7da18d25ebc9e53c5502f1d43afbdeece9","cross_cats_sorted":["cond-mat.mtrl-sci"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.mes-hall","submitted_at":"2009-04-03T10:00:27Z","title_canon_sha256":"4ee27912c4295c5691e7008282debcf98f4a1fa3fd97854dacf150373253e1cf"},"schema_version":"1.0","source":{"id":"0904.0540","kind":"arxiv","version":1}},"canonical_sha256":"01fe46014a9fe54def3e8b785107872cc49efb173d3050fb0ee8e7f829b9e56b","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"01fe46014a9fe54def3e8b785107872cc49efb173d3050fb0ee8e7f829b9e56b","first_computed_at":"2026-05-18T02:14:07.730374Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:14:07.730374Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"j5X+99JVpa54jEvz6SG5NlqVV6IgrbDdiWdoWCP9BJSiwBW7sMoOAQZXi6oNYWomTkac4R+NA81/LXfvIpRZBg==","signature_status":"signed_v1","signed_at":"2026-05-18T02:14:07.731097Z","signed_message":"canonical_sha256_bytes"},"source_id":"0904.0540","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:00565fbab3d3121e3fd479522edf3c57e733798a8a893ba327043a29aaae695b","sha256:258548705a1303b481bbabb899ad32c0423d96177c3004df35f00bd02acce073"],"state_sha256":"31dd0462ef9d6f8f5306743bc3d3c283a05edfe5a8564525f4e4b784c4c8a73f"}