{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2016:WTMMCUTOCKMEYCF672HGANTWC6","short_pith_number":"pith:WTMMCUTO","canonical_record":{"source":{"id":"1606.03038","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.mes-hall","submitted_at":"2016-06-09T17:51:42Z","cross_cats_sorted":[],"title_canon_sha256":"4ef758019840c9c2966634da0bb90c9bfdfd42eeb77f2d1ba7d9abed5b9b94e9","abstract_canon_sha256":"5bc893522ed7f26d55e32c7e01fa65c031e1ab12d92f7620c921df63b121129a"},"schema_version":"1.0"},"canonical_sha256":"b4d8c1526e12984c08befe8e6036761784ea5e0104293fc0e6c5847b6b49eaa3","source":{"kind":"arxiv","id":"1606.03038","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1606.03038","created_at":"2026-05-18T01:04:37Z"},{"alias_kind":"arxiv_version","alias_value":"1606.03038v3","created_at":"2026-05-18T01:04:37Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1606.03038","created_at":"2026-05-18T01:04:37Z"},{"alias_kind":"pith_short_12","alias_value":"WTMMCUTOCKME","created_at":"2026-05-18T12:30:51Z"},{"alias_kind":"pith_short_16","alias_value":"WTMMCUTOCKMEYCF6","created_at":"2026-05-18T12:30:51Z"},{"alias_kind":"pith_short_8","alias_value":"WTMMCUTO","created_at":"2026-05-18T12:30:51Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2016:WTMMCUTOCKMEYCF672HGANTWC6","target":"record","payload":{"canonical_record":{"source":{"id":"1606.03038","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.mes-hall","submitted_at":"2016-06-09T17:51:42Z","cross_cats_sorted":[],"title_canon_sha256":"4ef758019840c9c2966634da0bb90c9bfdfd42eeb77f2d1ba7d9abed5b9b94e9","abstract_canon_sha256":"5bc893522ed7f26d55e32c7e01fa65c031e1ab12d92f7620c921df63b121129a"},"schema_version":"1.0"},"canonical_sha256":"b4d8c1526e12984c08befe8e6036761784ea5e0104293fc0e6c5847b6b49eaa3","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:04:37.214837Z","signature_b64":"LGsZP6x3xo4VOQEO05EmwGNorrRo1aH4e8yMPfx12UVuQBIwuMsZUO0J7zSpmjIRDsJUaymS9jn7fwhwX5IIBQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"b4d8c1526e12984c08befe8e6036761784ea5e0104293fc0e6c5847b6b49eaa3","last_reissued_at":"2026-05-18T01:04:37.214056Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:04:37.214056Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1606.03038","source_version":3,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T01:04:37Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Ss16B3Vpo6edUra3JdyedTCGPVAXnp5g7Uv/Z0CV7BBM/MpvNPYQ25QVNsYrh4wfe9xYfcK6QSBa67hObOgVCg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-04T20:24:03.169029Z"},"content_sha256":"decc4e84575c3cadf2d631227273d08273a2213b0c021edb0bbf20ebd72fb659","schema_version":"1.0","event_id":"sha256:decc4e84575c3cadf2d631227273d08273a2213b0c021edb0bbf20ebd72fb659"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2016:WTMMCUTOCKMEYCF672HGANTWC6","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Landau Levels in 2D materials using Wannier Hamiltonians obtained by first principles","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.mes-hall","authors_text":"J. Fernandez-Rossier, J. L. Lado","submitted_at":"2016-06-09T17:51:42Z","abstract_excerpt":"We present a method to calculate the Landau levels and the corresponding edge states of two dimensional (2D) crystals using as a starting point their electronic structure as obtained from standard density functional theory (DFT). The DFT Hamiltonian is represented in the basis of maximally localized Wannier functions. This defines a tight-binding Hamiltonian for the bulk that can be used to describe other structures, such as ribbons, provided that atomic scale details of the edges are ignored. The effect of the orbital magnetic field is described using the Peierls substitution in the hopping m"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1606.03038","kind":"arxiv","version":3},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T01:04:37Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"zA1TjQBzB6xaaVtD29VO5Q72+pHRLAbUpfZHYZgAHkGAzWA2RFOn4sRp14SPfsUPtk2Jyz0tB8O8PYk+1jQrAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-04T20:24:03.169394Z"},"content_sha256":"d590768de0ddb9e03466591d25c87b99eba1cf1994bdfbb9797cf0ee74f3a520","schema_version":"1.0","event_id":"sha256:d590768de0ddb9e03466591d25c87b99eba1cf1994bdfbb9797cf0ee74f3a520"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/WTMMCUTOCKMEYCF672HGANTWC6/bundle.json","state_url":"https://pith.science/pith/WTMMCUTOCKMEYCF672HGANTWC6/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/WTMMCUTOCKMEYCF672HGANTWC6/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-06-04T20:24:03Z","links":{"resolver":"https://pith.science/pith/WTMMCUTOCKMEYCF672HGANTWC6","bundle":"https://pith.science/pith/WTMMCUTOCKMEYCF672HGANTWC6/bundle.json","state":"https://pith.science/pith/WTMMCUTOCKMEYCF672HGANTWC6/state.json","well_known_bundle":"https://pith.science/.well-known/pith/WTMMCUTOCKMEYCF672HGANTWC6/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:WTMMCUTOCKMEYCF672HGANTWC6","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":"5bc893522ed7f26d55e32c7e01fa65c031e1ab12d92f7620c921df63b121129a","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.mes-hall","submitted_at":"2016-06-09T17:51:42Z","title_canon_sha256":"4ef758019840c9c2966634da0bb90c9bfdfd42eeb77f2d1ba7d9abed5b9b94e9"},"schema_version":"1.0","source":{"id":"1606.03038","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1606.03038","created_at":"2026-05-18T01:04:37Z"},{"alias_kind":"arxiv_version","alias_value":"1606.03038v3","created_at":"2026-05-18T01:04:37Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1606.03038","created_at":"2026-05-18T01:04:37Z"},{"alias_kind":"pith_short_12","alias_value":"WTMMCUTOCKME","created_at":"2026-05-18T12:30:51Z"},{"alias_kind":"pith_short_16","alias_value":"WTMMCUTOCKMEYCF6","created_at":"2026-05-18T12:30:51Z"},{"alias_kind":"pith_short_8","alias_value":"WTMMCUTO","created_at":"2026-05-18T12:30:51Z"}],"graph_snapshots":[{"event_id":"sha256:d590768de0ddb9e03466591d25c87b99eba1cf1994bdfbb9797cf0ee74f3a520","target":"graph","created_at":"2026-05-18T01:04:37Z","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":"We present a method to calculate the Landau levels and the corresponding edge states of two dimensional (2D) crystals using as a starting point their electronic structure as obtained from standard density functional theory (DFT). The DFT Hamiltonian is represented in the basis of maximally localized Wannier functions. This defines a tight-binding Hamiltonian for the bulk that can be used to describe other structures, such as ribbons, provided that atomic scale details of the edges are ignored. The effect of the orbital magnetic field is described using the Peierls substitution in the hopping m","authors_text":"J. Fernandez-Rossier, J. L. Lado","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.mes-hall","submitted_at":"2016-06-09T17:51:42Z","title":"Landau Levels in 2D materials using Wannier Hamiltonians obtained by first principles"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1606.03038","kind":"arxiv","version":3},"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:decc4e84575c3cadf2d631227273d08273a2213b0c021edb0bbf20ebd72fb659","target":"record","created_at":"2026-05-18T01:04:37Z","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":"5bc893522ed7f26d55e32c7e01fa65c031e1ab12d92f7620c921df63b121129a","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.mes-hall","submitted_at":"2016-06-09T17:51:42Z","title_canon_sha256":"4ef758019840c9c2966634da0bb90c9bfdfd42eeb77f2d1ba7d9abed5b9b94e9"},"schema_version":"1.0","source":{"id":"1606.03038","kind":"arxiv","version":3}},"canonical_sha256":"b4d8c1526e12984c08befe8e6036761784ea5e0104293fc0e6c5847b6b49eaa3","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"b4d8c1526e12984c08befe8e6036761784ea5e0104293fc0e6c5847b6b49eaa3","first_computed_at":"2026-05-18T01:04:37.214056Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:04:37.214056Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"LGsZP6x3xo4VOQEO05EmwGNorrRo1aH4e8yMPfx12UVuQBIwuMsZUO0J7zSpmjIRDsJUaymS9jn7fwhwX5IIBQ==","signature_status":"signed_v1","signed_at":"2026-05-18T01:04:37.214837Z","signed_message":"canonical_sha256_bytes"},"source_id":"1606.03038","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:decc4e84575c3cadf2d631227273d08273a2213b0c021edb0bbf20ebd72fb659","sha256:d590768de0ddb9e03466591d25c87b99eba1cf1994bdfbb9797cf0ee74f3a520"],"state_sha256":"eb14f9d3207d308500c1d5a1ebbd9136effff9fbd72edebc4222d90777313e54"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"2GXa/rbahLTqGGPc/Pc1INZcbDzdw5DHge5TEwD6T3ZJuLY09zilmgYxHwIxBoBO5KkmKnVFxBn1l2J+TQt7CQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-04T20:24:03.171610Z","bundle_sha256":"31f5b3fe5b3c0284b83a83749ef489ec02c2c20e5c37b128fea0fdbf51d9ec84"}}