{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2009:V67JQDJEYJ4BT4PD43NSBC4UKB","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":"cd73f00d7be4ea170243a5eaa2cf86ddd4165afb8b405ae9505ff156cc3ae08e","cross_cats_sorted":["cond-mat.mtrl-sci"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.mes-hall","submitted_at":"2009-10-06T02:16:49Z","title_canon_sha256":"80f25583c9855462ef6b84a8887e72b2d11270c099a37cfdbe9fc041aaa8446c"},"schema_version":"1.0","source":{"id":"0910.0912","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0910.0912","created_at":"2026-05-18T03:23:57Z"},{"alias_kind":"arxiv_version","alias_value":"0910.0912v1","created_at":"2026-05-18T03:23:57Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0910.0912","created_at":"2026-05-18T03:23:57Z"},{"alias_kind":"pith_short_12","alias_value":"V67JQDJEYJ4B","created_at":"2026-05-18T12:26:02Z"},{"alias_kind":"pith_short_16","alias_value":"V67JQDJEYJ4BT4PD","created_at":"2026-05-18T12:26:02Z"},{"alias_kind":"pith_short_8","alias_value":"V67JQDJE","created_at":"2026-05-18T12:26:02Z"}],"graph_snapshots":[{"event_id":"sha256:bc6eeb5abe930f70832aa02025abc9279eb96a26731120749394150e25745234","target":"graph","created_at":"2026-05-18T03:23:57Z","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":"Change of the bonding environment at the free edges of graphene monolayer leads to excess edge energy and edge force, depending on the edge morphology (zigzag or armchair). By using a reactive empirical bond-order potential and atomistic simulations, we show that the excess edge energy in free-standing graphene nanoribbons can be partially relaxed by both in-plane and out-of-plane deformation. The excess edge energy and edge force are calculated for graphene nanoribbons with parallel zigzag or armchair edges. Depending on the longitudinal constraint, the compressive edge force leads to either ","authors_text":"Qiang Lu, Rui Huang","cross_cats":["cond-mat.mtrl-sci"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.mes-hall","submitted_at":"2009-10-06T02:16:49Z","title":"Excess energy and deformation along free edges of graphene nanoribbons"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0910.0912","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":"sha256:4fa7a0d085685c5190df661ca38f2c82dab379deef0b222b1800add5a4f6d101","target":"record","created_at":"2026-05-18T03:23:57Z","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":"cd73f00d7be4ea170243a5eaa2cf86ddd4165afb8b405ae9505ff156cc3ae08e","cross_cats_sorted":["cond-mat.mtrl-sci"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.mes-hall","submitted_at":"2009-10-06T02:16:49Z","title_canon_sha256":"80f25583c9855462ef6b84a8887e72b2d11270c099a37cfdbe9fc041aaa8446c"},"schema_version":"1.0","source":{"id":"0910.0912","kind":"arxiv","version":1}},"canonical_sha256":"afbe980d24c27819f1e3e6db208b945074c7a6d7f80a77a9bc3c33f84e867f4c","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"afbe980d24c27819f1e3e6db208b945074c7a6d7f80a77a9bc3c33f84e867f4c","first_computed_at":"2026-05-18T03:23:57.426036Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:23:57.426036Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Nz6984rSHDGZ9MnmXTN21Btx+0MWsKj8y4zhkoXGIdQWzag9ehc7F1VetVGOAMdVr4CdJCcV++gS6LhW5ejKDA==","signature_status":"signed_v1","signed_at":"2026-05-18T03:23:57.426658Z","signed_message":"canonical_sha256_bytes"},"source_id":"0910.0912","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:4fa7a0d085685c5190df661ca38f2c82dab379deef0b222b1800add5a4f6d101","sha256:bc6eeb5abe930f70832aa02025abc9279eb96a26731120749394150e25745234"],"state_sha256":"2ed0efe69c4c7764e73ffec98f84dee386975940df4291168117e505c1452a39"}