{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:WBZDIZP7GSQMOZMWE4QHMNCZ7P","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":"5c7608533fe7a7e2181059842788c72607dc5401945a61887ebf697cb320610c","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.mes-hall","submitted_at":"2011-11-25T05:29:41Z","title_canon_sha256":"80947b08917be9e99fd3bd7c94c7f4c2bda73399ad26cb37d026e5bbcd0af461"},"schema_version":"1.0","source":{"id":"1111.5894","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1111.5894","created_at":"2026-05-18T01:59:25Z"},{"alias_kind":"arxiv_version","alias_value":"1111.5894v1","created_at":"2026-05-18T01:59:25Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1111.5894","created_at":"2026-05-18T01:59:25Z"},{"alias_kind":"pith_short_12","alias_value":"WBZDIZP7GSQM","created_at":"2026-05-18T12:26:44Z"},{"alias_kind":"pith_short_16","alias_value":"WBZDIZP7GSQMOZMW","created_at":"2026-05-18T12:26:44Z"},{"alias_kind":"pith_short_8","alias_value":"WBZDIZP7","created_at":"2026-05-18T12:26:44Z"}],"graph_snapshots":[{"event_id":"sha256:e87c3576624f17ec7083d989ef39a500e22cfd688cf86c15d7463b32717c4cd4","target":"graph","created_at":"2026-05-18T01:59:25Z","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":"The zero-energy Landau level of bilayer graphene is shown to be anomalously sharp (delta-function like) against bond disorder as long as the disorder is correlated over a few lattice constants.The robustness of the zero-mode anomaly can be attributed to the preserved chiral symmetry. Unexpectedly, even when we apply a finite potential difference (i.e., an electric field) between the top and the bottom layers, the valley-split $n=0$ Landau levels remain anomalously sharp although they are now shifted away from the zero energy, while the $n=1$ Landau levels exhibit the usual behavior.","authors_text":"Hideo Aoki, Tohru Kawarabayashi, Yasuhiro Hatsugai","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.mes-hall","submitted_at":"2011-11-25T05:29:41Z","title":"Topologically protected Landau levels in bilayer graphene in finite electric fields"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1111.5894","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":"sha256:30f907dad5f063fc1f2ec0c2625ac53c2bfff01563590c0afd7e2d4ad6c69d50","target":"record","created_at":"2026-05-18T01:59:25Z","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":"5c7608533fe7a7e2181059842788c72607dc5401945a61887ebf697cb320610c","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.mes-hall","submitted_at":"2011-11-25T05:29:41Z","title_canon_sha256":"80947b08917be9e99fd3bd7c94c7f4c2bda73399ad26cb37d026e5bbcd0af461"},"schema_version":"1.0","source":{"id":"1111.5894","kind":"arxiv","version":1}},"canonical_sha256":"b0723465ff34a0c765962720763459fbd201c3fe004bd930121224c721ee0e58","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"b0723465ff34a0c765962720763459fbd201c3fe004bd930121224c721ee0e58","first_computed_at":"2026-05-18T01:59:25.568808Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:59:25.568808Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"mPyUuSFMetKQ048KkWkvY+r74JewRiFd5lbjsTsrq8Clpf6V3Blnt05BFwZXdGCNEXwSO92XU3s3MivOz31QBw==","signature_status":"signed_v1","signed_at":"2026-05-18T01:59:25.569337Z","signed_message":"canonical_sha256_bytes"},"source_id":"1111.5894","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:30f907dad5f063fc1f2ec0c2625ac53c2bfff01563590c0afd7e2d4ad6c69d50","sha256:e87c3576624f17ec7083d989ef39a500e22cfd688cf86c15d7463b32717c4cd4"],"state_sha256":"1d711995059429a564ed1ca59a97591b8e12bacb25d3f817159a477703ca70a5"}