{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:5SM2YOIXKAQYFZA7RIFZN2ZJDT","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":"7b955f33ef6f437ff2bbd0fe9906d217b2950ca10d0fcf39e860ef7dc15400ef","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.mes-hall","submitted_at":"2011-01-13T16:29:25Z","title_canon_sha256":"10ece6d9f971d0f3a3b42d248062e2322f9c8ca4543efb8a274cc2f85086d4c7"},"schema_version":"1.0","source":{"id":"1101.2606","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1101.2606","created_at":"2026-05-18T02:03:40Z"},{"alias_kind":"arxiv_version","alias_value":"1101.2606v1","created_at":"2026-05-18T02:03:40Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1101.2606","created_at":"2026-05-18T02:03:40Z"},{"alias_kind":"pith_short_12","alias_value":"5SM2YOIXKAQY","created_at":"2026-05-18T12:26:20Z"},{"alias_kind":"pith_short_16","alias_value":"5SM2YOIXKAQYFZA7","created_at":"2026-05-18T12:26:20Z"},{"alias_kind":"pith_short_8","alias_value":"5SM2YOIX","created_at":"2026-05-18T12:26:20Z"}],"graph_snapshots":[{"event_id":"sha256:90bf49beb08e347cded390e0fd73cce997b14fac1722476a63d7384b44866681","target":"graph","created_at":"2026-05-18T02:03:40Z","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 Hofstadter butterfly spectral patterns of lattice electrons in an external magnetic field yield some of the most beguiling images in physics. Here we explore the magneto-electronic spectra of systems with moire spatial patterns, concentrating on the case of twisted bilayer graphene. Because long-period spatial patterns are accurately formed at small twist angles, fractal butterfly spectra and associated magneto-transport and magneto-mechanical anomalies emerge at accessible magnetic field strengths.","authors_text":"A.H. MacDonald, R. Bistritzer","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.mes-hall","submitted_at":"2011-01-13T16:29:25Z","title":"Moire Butterflies"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1101.2606","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:b12b50fa7d97a9968a610a444ad5ee9c7a77d54b19ea1ada6ee374551b4fd5bd","target":"record","created_at":"2026-05-18T02:03:40Z","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":"7b955f33ef6f437ff2bbd0fe9906d217b2950ca10d0fcf39e860ef7dc15400ef","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.mes-hall","submitted_at":"2011-01-13T16:29:25Z","title_canon_sha256":"10ece6d9f971d0f3a3b42d248062e2322f9c8ca4543efb8a274cc2f85086d4c7"},"schema_version":"1.0","source":{"id":"1101.2606","kind":"arxiv","version":1}},"canonical_sha256":"ec99ac3917502182e41f8a0b96eb291cf91e4bbc27733368c5aa7dcc62289ffa","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"ec99ac3917502182e41f8a0b96eb291cf91e4bbc27733368c5aa7dcc62289ffa","first_computed_at":"2026-05-18T02:03:40.375232Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:03:40.375232Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"QOOFMmhZ3FzjEDSMu6ltqjt5ghjwGFexyaYFvtfXeA5ThcmtNctCg6wG21ccUJZFl/izCaXqezBK3GROBQ/SAQ==","signature_status":"signed_v1","signed_at":"2026-05-18T02:03:40.375954Z","signed_message":"canonical_sha256_bytes"},"source_id":"1101.2606","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:b12b50fa7d97a9968a610a444ad5ee9c7a77d54b19ea1ada6ee374551b4fd5bd","sha256:90bf49beb08e347cded390e0fd73cce997b14fac1722476a63d7384b44866681"],"state_sha256":"123e5ef2aa3c6b5ee2b52da854d049e9a74642aeb0fc83ec61350e6937bc5153"}