{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:LN3BYDAQGHLJULACT535CBYG5M","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":"60625104c81ea007d6ceeecd87dabcceb1f44846979a6be68880b4fda3b5bf76","cross_cats_sorted":["cond-mat.mes-hall"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.quant-gas","submitted_at":"2011-09-16T01:22:15Z","title_canon_sha256":"861584335ec603df981282893006a5a5206c875dba38d3a9f087de1d6aaaf428"},"schema_version":"1.0","source":{"id":"1109.4272","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1109.4272","created_at":"2026-05-18T02:00:28Z"},{"alias_kind":"arxiv_version","alias_value":"1109.4272v1","created_at":"2026-05-18T02:00:28Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1109.4272","created_at":"2026-05-18T02:00:28Z"},{"alias_kind":"pith_short_12","alias_value":"LN3BYDAQGHLJ","created_at":"2026-05-18T12:26:34Z"},{"alias_kind":"pith_short_16","alias_value":"LN3BYDAQGHLJULAC","created_at":"2026-05-18T12:26:34Z"},{"alias_kind":"pith_short_8","alias_value":"LN3BYDAQ","created_at":"2026-05-18T12:26:34Z"}],"graph_snapshots":[{"event_id":"sha256:0abcb962e9ed1f8b9a7ba1bb28ba162b72a5ebdbcabaef582190cdea49ba38a3","target":"graph","created_at":"2026-05-18T02:00:28Z","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 vacancy effects on quasiparticle band structure of graphene near the Dirac point. It is found that each Dirac nodal point splits into two new nodal points due to the coherent scattering among vacancies. The splitting energy between the two nodal points is proportional to the square root of vacancy concentration. In addition, an extra dispersionless impurity band of zero energy due to particle-hole symmetry is found. Our theory offers an excellent explanation to the recent experiments.","authors_text":"J. G. Hou, J. L. Yang, Q. W. Shi, W. Li, W. Zhu, X. P. Wang, X. R. Wang","cross_cats":["cond-mat.mes-hall"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.quant-gas","submitted_at":"2011-09-16T01:22:15Z","title":"Vacancy Induced Splitting of Dirac Nodal Point in Graphene"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1109.4272","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":"sha256:04660d86353c58df856a77d3a92e49ecbb335d40ad733885813eb4dc61b2cbeb","target":"record","created_at":"2026-05-18T02:00:28Z","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":"60625104c81ea007d6ceeecd87dabcceb1f44846979a6be68880b4fda3b5bf76","cross_cats_sorted":["cond-mat.mes-hall"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.quant-gas","submitted_at":"2011-09-16T01:22:15Z","title_canon_sha256":"861584335ec603df981282893006a5a5206c875dba38d3a9f087de1d6aaaf428"},"schema_version":"1.0","source":{"id":"1109.4272","kind":"arxiv","version":1}},"canonical_sha256":"5b761c0c1031d69a2c029f77d10706eb3e3f14a73bcecbf5d1cf99fa04ad7890","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"5b761c0c1031d69a2c029f77d10706eb3e3f14a73bcecbf5d1cf99fa04ad7890","first_computed_at":"2026-05-18T02:00:28.811815Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:00:28.811815Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"SdMgtFJT9Ac+X4iiqlE1DDWqs/zyMWwbyCoxc3ld1ZfO1+z4gunczM9jq42O+b0MpRsV1t+qyeVdBS3OzLhjBA==","signature_status":"signed_v1","signed_at":"2026-05-18T02:00:28.812405Z","signed_message":"canonical_sha256_bytes"},"source_id":"1109.4272","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:04660d86353c58df856a77d3a92e49ecbb335d40ad733885813eb4dc61b2cbeb","sha256:0abcb962e9ed1f8b9a7ba1bb28ba162b72a5ebdbcabaef582190cdea49ba38a3"],"state_sha256":"dfb5d101e72232a6262ddfea0327e7bb1cef8df82427747562e1d96123c34774"}