{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2017:BXT4KA66IWPFALL2HCDOZIKICH","short_pith_number":"pith:BXT4KA66","schema_version":"1.0","canonical_sha256":"0de7c503de459e502d7a3886eca14811ef6257563868d448ea7f8064da27749c","source":{"kind":"arxiv","id":"1706.05921","version":1},"attestation_state":"computed","paper":{"title":"Unfolding energy spectra of multi-periodicity materials","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.mtrl-sci","authors_text":"Atsushi Oshiyama, Hirofumi Nishi, Jun-ichi Iwata, Taichi Kosugi, Yu-ichiro Matsushita","submitted_at":"2017-06-19T13:22:38Z","abstract_excerpt":"We propose a new unfolding scheme to analyze energy spectra of complex large-scale systems which are inherently of multi-periodicity. Considering twisted bilayer graphene (tBLG) as an example, we first show that the conventional unfolding scheme in the past using a single primitive-cell representation causes serious problems in analyses of the energy spectra. We then introduce our multi-space representation scheme in the unfolding method and clarify its validity for tBLG. Velocity renormalization of Dirac electrons in tBLG is elucidated in the present unfolding scheme."},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"1706.05921","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.mtrl-sci","submitted_at":"2017-06-19T13:22:38Z","cross_cats_sorted":[],"title_canon_sha256":"7ca8a1a74341b230a4c8502a99d3585620724da08f472baa7276ee89c2bbae5c","abstract_canon_sha256":"9aa5983787a372efc5eebe430a83ae27f8ab9ccae7d72db50e14f05f72718462"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:24:52.391709Z","signature_b64":"+3Meu1EQbtheQ06z2WsnqSEsrJpS6xx7tBBlQZZ4VBCGXIzenWdn8Z3T1ZwKwP/d52iSU+/d9UBUqigDSoO1AA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"0de7c503de459e502d7a3886eca14811ef6257563868d448ea7f8064da27749c","last_reissued_at":"2026-05-18T00:24:52.391224Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:24:52.391224Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Unfolding energy spectra of multi-periodicity materials","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.mtrl-sci","authors_text":"Atsushi Oshiyama, Hirofumi Nishi, Jun-ichi Iwata, Taichi Kosugi, Yu-ichiro Matsushita","submitted_at":"2017-06-19T13:22:38Z","abstract_excerpt":"We propose a new unfolding scheme to analyze energy spectra of complex large-scale systems which are inherently of multi-periodicity. Considering twisted bilayer graphene (tBLG) as an example, we first show that the conventional unfolding scheme in the past using a single primitive-cell representation causes serious problems in analyses of the energy spectra. We then introduce our multi-space representation scheme in the unfolding method and clarify its validity for tBLG. Velocity renormalization of Dirac electrons in tBLG is elucidated in the present unfolding scheme."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1706.05921","kind":"arxiv","version":1},"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"},"aliases":[{"alias_kind":"arxiv","alias_value":"1706.05921","created_at":"2026-05-18T00:24:52.391297+00:00"},{"alias_kind":"arxiv_version","alias_value":"1706.05921v1","created_at":"2026-05-18T00:24:52.391297+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1706.05921","created_at":"2026-05-18T00:24:52.391297+00:00"},{"alias_kind":"pith_short_12","alias_value":"BXT4KA66IWPF","created_at":"2026-05-18T12:31:08.081275+00:00"},{"alias_kind":"pith_short_16","alias_value":"BXT4KA66IWPFALL2","created_at":"2026-05-18T12:31:08.081275+00:00"},{"alias_kind":"pith_short_8","alias_value":"BXT4KA66","created_at":"2026-05-18T12:31:08.081275+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/BXT4KA66IWPFALL2HCDOZIKICH","json":"https://pith.science/pith/BXT4KA66IWPFALL2HCDOZIKICH.json","graph_json":"https://pith.science/api/pith-number/BXT4KA66IWPFALL2HCDOZIKICH/graph.json","events_json":"https://pith.science/api/pith-number/BXT4KA66IWPFALL2HCDOZIKICH/events.json","paper":"https://pith.science/paper/BXT4KA66"},"agent_actions":{"view_html":"https://pith.science/pith/BXT4KA66IWPFALL2HCDOZIKICH","download_json":"https://pith.science/pith/BXT4KA66IWPFALL2HCDOZIKICH.json","view_paper":"https://pith.science/paper/BXT4KA66","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1706.05921&json=true","fetch_graph":"https://pith.science/api/pith-number/BXT4KA66IWPFALL2HCDOZIKICH/graph.json","fetch_events":"https://pith.science/api/pith-number/BXT4KA66IWPFALL2HCDOZIKICH/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/BXT4KA66IWPFALL2HCDOZIKICH/action/timestamp_anchor","attest_storage":"https://pith.science/pith/BXT4KA66IWPFALL2HCDOZIKICH/action/storage_attestation","attest_author":"https://pith.science/pith/BXT4KA66IWPFALL2HCDOZIKICH/action/author_attestation","sign_citation":"https://pith.science/pith/BXT4KA66IWPFALL2HCDOZIKICH/action/citation_signature","submit_replication":"https://pith.science/pith/BXT4KA66IWPFALL2HCDOZIKICH/action/replication_record"}},"created_at":"2026-05-18T00:24:52.391297+00:00","updated_at":"2026-05-18T00:24:52.391297+00:00"}