{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2010:3GD5YHUZKK7I2OOJCPUFJAXUVC","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":"de30b748ad21007cefd105c47e3cd430a1d18c2be1d8f86b64f376f5a3a98dc4","cross_cats_sorted":["cond-mat.mes-hall"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2010-07-26T19:33:35Z","title_canon_sha256":"03e526a2f1ca443d32326f4c011a277361c3f4f2bc5d3e9bb1b381b4ac42d584"},"schema_version":"1.0","source":{"id":"1007.4538","kind":"arxiv","version":4}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1007.4538","created_at":"2026-05-18T04:26:33Z"},{"alias_kind":"arxiv_version","alias_value":"1007.4538v4","created_at":"2026-05-18T04:26:33Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1007.4538","created_at":"2026-05-18T04:26:33Z"},{"alias_kind":"pith_short_12","alias_value":"3GD5YHUZKK7I","created_at":"2026-05-18T12:26:03Z"},{"alias_kind":"pith_short_16","alias_value":"3GD5YHUZKK7I2OOJ","created_at":"2026-05-18T12:26:03Z"},{"alias_kind":"pith_short_8","alias_value":"3GD5YHUZ","created_at":"2026-05-18T12:26:03Z"}],"graph_snapshots":[{"event_id":"sha256:17f53ab3540ab4604196db10c447955e5a43a49ad2edcf62c25abe640fa0c8c6","target":"graph","created_at":"2026-05-18T04:26:33Z","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 study the disorder effect on the excitonic gap generation caused by strong Coulomb interaction in graphene. By solving the self-consistently coupled equations of dynamical fermion gap $m$ and disorder scattering rate $\\Gamma$, we found a critical line on the plane of interaction strength $\\lambda$ and disorder strength $g$. The phase diagram is divided into two regions: in the region with large $\\lambda$ and small $g$, $m \\neq 0$ and $\\Gamma = 0$; in the other region, $m = 0$ and $\\Gamma \\neq 0$ for nonzero $g$. In particular, there is no coexistence of finite fermion gap and finite scatter","authors_text":"Guo-Zhu Liu, Jing-Rong Wang","cross_cats":["cond-mat.mes-hall"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2010-07-26T19:33:35Z","title":"Competition between excitonic gap generation and disorder scattering in graphene"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1007.4538","kind":"arxiv","version":4},"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":"sha256:5a5804ea88d749b15379d3b8398e9af8699d4c1b1ea029a335843ccf2260f25f","target":"record","created_at":"2026-05-18T04:26:33Z","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":"de30b748ad21007cefd105c47e3cd430a1d18c2be1d8f86b64f376f5a3a98dc4","cross_cats_sorted":["cond-mat.mes-hall"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2010-07-26T19:33:35Z","title_canon_sha256":"03e526a2f1ca443d32326f4c011a277361c3f4f2bc5d3e9bb1b381b4ac42d584"},"schema_version":"1.0","source":{"id":"1007.4538","kind":"arxiv","version":4}},"canonical_sha256":"d987dc1e9952be8d39c913e85482f4a8aa69320e814c8cb818f7ab2abcf7d7ca","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"d987dc1e9952be8d39c913e85482f4a8aa69320e814c8cb818f7ab2abcf7d7ca","first_computed_at":"2026-05-18T04:26:33.110878Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:26:33.110878Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Ib1mOuZmd7d/2DrFU+oppWaTWCDOkkxlh32joyW53bjFrf+UZf0DYW5jNya619P8Ai3QYieHdiL6GxotCxwMCA==","signature_status":"signed_v1","signed_at":"2026-05-18T04:26:33.111368Z","signed_message":"canonical_sha256_bytes"},"source_id":"1007.4538","source_kind":"arxiv","source_version":4}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:5a5804ea88d749b15379d3b8398e9af8699d4c1b1ea029a335843ccf2260f25f","sha256:17f53ab3540ab4604196db10c447955e5a43a49ad2edcf62c25abe640fa0c8c6"],"state_sha256":"9c48709418ce51f63f0a64042c42ee9619372a6075e7b4faa18b9c027229b1ad"}