{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:2DGTSC5LN6EQYKHNEGNQTBCJ3Z","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":"109618057aa9c45a05c20d437bf5cf929cf309f9a57e771458d5a160ed3a81a0","cross_cats_sorted":["cond-mat.mtrl-sci"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.mes-hall","submitted_at":"2011-07-22T15:40:54Z","title_canon_sha256":"8dce05997c961c94078194080c04dd8fa76706a4dcf4706ac98031c99a1eb67a"},"schema_version":"1.0","source":{"id":"1107.4550","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1107.4550","created_at":"2026-05-18T04:15:49Z"},{"alias_kind":"arxiv_version","alias_value":"1107.4550v1","created_at":"2026-05-18T04:15:49Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1107.4550","created_at":"2026-05-18T04:15:49Z"},{"alias_kind":"pith_short_12","alias_value":"2DGTSC5LN6EQ","created_at":"2026-05-18T12:26:18Z"},{"alias_kind":"pith_short_16","alias_value":"2DGTSC5LN6EQYKHN","created_at":"2026-05-18T12:26:18Z"},{"alias_kind":"pith_short_8","alias_value":"2DGTSC5L","created_at":"2026-05-18T12:26:18Z"}],"graph_snapshots":[{"event_id":"sha256:f8a8175127b0cbfa5bbf8b7e8df98909e5b9605a9d08118a1e18ffcf2630dae9","target":"graph","created_at":"2026-05-18T04:15:49Z","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":"Bilayer graphene with an interlayer potential difference has an energy gap and, when the potential difference varies spatially, topologically protected one-dimensional states localized along the difference's zero-lines. When disorder is absent, electronic travel directions along zero-line trajectories are fixed by valley Hall properties. Using the Landauer-B\\\"uttiker formula and the non-equilibrium Green's function technique we demonstrate numerically that collisions between electrons traveling in opposite directions, due to either disorder or changes in path direction, are strongly suppressed","authors_text":"Allan H. MacDonald, Jeil Jung, Qian Niu, Zhenhua Qiao","cross_cats":["cond-mat.mtrl-sci"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.mes-hall","submitted_at":"2011-07-22T15:40:54Z","title":"Electronic Highways in Bilayer Graphene"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1107.4550","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":"sha256:958bcb9eb1429ebc859a8a081a6c8ffff16cddb80995668472fbfaecede12ae1","target":"record","created_at":"2026-05-18T04:15:49Z","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":"109618057aa9c45a05c20d437bf5cf929cf309f9a57e771458d5a160ed3a81a0","cross_cats_sorted":["cond-mat.mtrl-sci"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.mes-hall","submitted_at":"2011-07-22T15:40:54Z","title_canon_sha256":"8dce05997c961c94078194080c04dd8fa76706a4dcf4706ac98031c99a1eb67a"},"schema_version":"1.0","source":{"id":"1107.4550","kind":"arxiv","version":1}},"canonical_sha256":"d0cd390bab6f890c28ed219b098449de7e2b66e053acfd603160103431edaba9","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"d0cd390bab6f890c28ed219b098449de7e2b66e053acfd603160103431edaba9","first_computed_at":"2026-05-18T04:15:49.573535Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:15:49.573535Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"qGWmLTl5NdPdOeyLMPO8xR/Ru7vYd6bopTjUfY+yybw+uNAejWAA71TmyKj03JmIU49eRuLFAKtCUFNxKpLVAg==","signature_status":"signed_v1","signed_at":"2026-05-18T04:15:49.574028Z","signed_message":"canonical_sha256_bytes"},"source_id":"1107.4550","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:958bcb9eb1429ebc859a8a081a6c8ffff16cddb80995668472fbfaecede12ae1","sha256:f8a8175127b0cbfa5bbf8b7e8df98909e5b9605a9d08118a1e18ffcf2630dae9"],"state_sha256":"8d13b6e54921b44b634c2b877204c38921b31a3b7609ed66614aeb653c24c7e8"}