{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:3FNBNONWNEMTX27JTYVGJEWA2F","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":"41753da98b491d5a118395545aa2569add7778158cc875212d6f7cbf95b8447b","cross_cats_sorted":["cond-mat.mes-hall","math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2017-12-11T20:36:03Z","title_canon_sha256":"c1b680edc2d168fd750cb3d22ca8b88905d67d00c2ebdb0f71328471cbb75245"},"schema_version":"1.0","source":{"id":"1712.04012","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1712.04012","created_at":"2026-07-05T00:24:02Z"},{"alias_kind":"arxiv_version","alias_value":"1712.04012v2","created_at":"2026-07-05T00:24:02Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1712.04012","created_at":"2026-07-05T00:24:02Z"},{"alias_kind":"pith_short_12","alias_value":"3FNBNONWNEMT","created_at":"2026-07-05T00:24:02Z"},{"alias_kind":"pith_short_16","alias_value":"3FNBNONWNEMTX27J","created_at":"2026-07-05T00:24:02Z"},{"alias_kind":"pith_short_8","alias_value":"3FNBNONW","created_at":"2026-07-05T00:24:02Z"}],"graph_snapshots":[{"event_id":"sha256:c4d8549665b3612e684f33104b765a244b5e59175bd6834aca083d819ada3a77","target":"graph","created_at":"2026-07-05T00:24:02Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/1712.04012/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We revisit the spectral problem for Bloch electrons in a two-dimensional bipartite honeycomb lattice under a uniform magnetic field. It is well-known that such a honeycomb structure is realized in graphene. We present a systematic framework to compute the perturbative magnetic flux expansions near two distinct band edges. We then analyze the nonperturbative bandwidth of the spectrum. It turns out that there is a novel similarity between the spectrum near the Dirac point in the honeycomb lattice and the spectrum in the supersymmetric sine-Gordon quantum mechanics. We finally confirm a nontrivia","authors_text":"Yasuyuki Hatsuda","cross_cats":["cond-mat.mes-hall","math-ph","math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2017-12-11T20:36:03Z","title":"Perturbative/nonperturbative aspects of Bloch electrons in a honeycomb lattice"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1712.04012","kind":"arxiv","version":2},"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":"sha256:97cced9e4466cdeee169f71a7fbddf24a4c7e6e3f513f53268d149e707e2a8cd","target":"record","created_at":"2026-07-05T00:24:02Z","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":"41753da98b491d5a118395545aa2569add7778158cc875212d6f7cbf95b8447b","cross_cats_sorted":["cond-mat.mes-hall","math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2017-12-11T20:36:03Z","title_canon_sha256":"c1b680edc2d168fd750cb3d22ca8b88905d67d00c2ebdb0f71328471cbb75245"},"schema_version":"1.0","source":{"id":"1712.04012","kind":"arxiv","version":2}},"canonical_sha256":"d95a16b9b669193bebe99e2a6492c0d1659e76beb1ccab13dcf174538601b0a4","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"d95a16b9b669193bebe99e2a6492c0d1659e76beb1ccab13dcf174538601b0a4","first_computed_at":"2026-07-05T00:24:02.853395Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T00:24:02.853395Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"70c/DLP80bYg9Yh5SEXzBdc0jBmPUiNpunj2mVxWWKAJeLWaYV73KpuvZBwTFM8SxgP0/L1tYf7xYGMh8q87Bw==","signature_status":"signed_v1","signed_at":"2026-07-05T00:24:02.853804Z","signed_message":"canonical_sha256_bytes"},"source_id":"1712.04012","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:97cced9e4466cdeee169f71a7fbddf24a4c7e6e3f513f53268d149e707e2a8cd","sha256:c4d8549665b3612e684f33104b765a244b5e59175bd6834aca083d819ada3a77"],"state_sha256":"4fecc53797bc1b43603ca42116a5fd9a4700a6ff72769edb90743844a6cf37e1"}