{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2025:CPAKNM2UBLD4HA67G7P2YT2YXG","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":"09ea826e8646c060f967451e2759a8eb639622a38a02fb80cb88b236cb89872d","cross_cats_sorted":["math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2025-02-12T04:47:27Z","title_canon_sha256":"504ce59f1b14ee67243f90286fcf77bae3b0f75593e078f32e640bef1434e085"},"schema_version":"1.0","source":{"id":"2502.08120","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2502.08120","created_at":"2026-07-05T10:20:19Z"},{"alias_kind":"arxiv_version","alias_value":"2502.08120v2","created_at":"2026-07-05T10:20:19Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2502.08120","created_at":"2026-07-05T10:20:19Z"},{"alias_kind":"pith_short_12","alias_value":"CPAKNM2UBLD4","created_at":"2026-07-05T10:20:19Z"},{"alias_kind":"pith_short_16","alias_value":"CPAKNM2UBLD4HA67","created_at":"2026-07-05T10:20:19Z"},{"alias_kind":"pith_short_8","alias_value":"CPAKNM2U","created_at":"2026-07-05T10:20:19Z"}],"graph_snapshots":[{"event_id":"sha256:6e13de1485e5d1e89541f74b3fe514dcfc35d9c23c1470a9d00990f7ddda1b19","target":"graph","created_at":"2026-07-05T10:20:19Z","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/2502.08120/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"The first-order continuum PDE model proposed by Bistritzer and MacDonald in \\cite{bistritzer2011moire} accurately describes the single-particle electronic properties of twisted bilayer graphene (TBG) at small twist angles. In this paper, we obtain higher-order corrections to the Bistritzer-MacDonald model via a systematic multiple-scales expansion. We prove that the solution of the resulting higher-order PDE model accurately approximates the corresponding tight-binding wave function under a natural choice of parameters and given initial conditions that are spectrally localized to the monolayer","authors_text":"Alexander B. Watson, Mitchell Luskin, Solomon Quinn, Tianyu Kong","cross_cats":["math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2025-02-12T04:47:27Z","title":"Higher-order continuum models for twisted bilayer graphene"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2502.08120","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:d7bdf0c2ca4f0c4ab9c20e074fc8c8071b3b2ce1155eb5d56baafea439a4065b","target":"record","created_at":"2026-07-05T10:20:19Z","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":"09ea826e8646c060f967451e2759a8eb639622a38a02fb80cb88b236cb89872d","cross_cats_sorted":["math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2025-02-12T04:47:27Z","title_canon_sha256":"504ce59f1b14ee67243f90286fcf77bae3b0f75593e078f32e640bef1434e085"},"schema_version":"1.0","source":{"id":"2502.08120","kind":"arxiv","version":2}},"canonical_sha256":"13c0a6b3540ac7c383df37dfac4f58b9af3037e1491157bd4a2fa72d8144931b","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"13c0a6b3540ac7c383df37dfac4f58b9af3037e1491157bd4a2fa72d8144931b","first_computed_at":"2026-07-05T10:20:19.198135Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T10:20:19.198135Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"iHkbJ3kD2Z342x78e9me3bqCL95F9POVs8cgl0OknBLy7Qh5j7HdTtunSiClfk0OEKzY1IxUGY6fhy/7rZrHCA==","signature_status":"signed_v1","signed_at":"2026-07-05T10:20:19.198641Z","signed_message":"canonical_sha256_bytes"},"source_id":"2502.08120","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:d7bdf0c2ca4f0c4ab9c20e074fc8c8071b3b2ce1155eb5d56baafea439a4065b","sha256:6e13de1485e5d1e89541f74b3fe514dcfc35d9c23c1470a9d00990f7ddda1b19"],"state_sha256":"76912347f6f5e05b18fdaae92885ad70a648794a94a0d0e2d1e5e916c99006f2"}