{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2014:ABSIIUZV272MHDN2MSZKETP5BG","short_pith_number":"pith:ABSIIUZV","schema_version":"1.0","canonical_sha256":"0064845335d7f4c38dba64b2a24dfd09ac210297daf3c8d3a943d6f5b2d42457","source":{"kind":"arxiv","id":"1408.2814","version":1},"attestation_state":"computed","paper":{"title":"Chambers's formula for the graphene and the Hou model with kagome periodicity and applications","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AP","authors_text":"Bernard Helffer (LM-Orsay, Jimena Royo-Letelier (IST Austria), LMJL), Philippe Kerdelhu\\'e (LM-Orsay)","submitted_at":"2014-08-12T19:28:21Z","abstract_excerpt":"The aim of this article is to prove that for the graphene model like for a model considered by the physicist Hou on a kagome lattice, there exists a formula which is similar to the one obtained by Chambers for the Harper model. As an application, we propose a semi-classical analysis of the spectrum of the Hou butterfly near a flat band."},"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":"1408.2814","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2014-08-12T19:28:21Z","cross_cats_sorted":[],"title_canon_sha256":"f75abee962799768e2fd5e5f9c534a1883cbef423812ff38daded41f9a0d166b","abstract_canon_sha256":"d448fa2523ab3c7b3f7a58e8c9f674c945c25214b0ccce738c721c192bde8c64"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:45:21.827068Z","signature_b64":"c4zW/1glylOIJtmVf+J1t+sc2ucu8kNkuTSjEaDB0FOJC007/BgWZ1qlfCP8zmPFfjh7sxvcRARqE2ZqNcvyBw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"0064845335d7f4c38dba64b2a24dfd09ac210297daf3c8d3a943d6f5b2d42457","last_reissued_at":"2026-05-18T02:45:21.826569Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:45:21.826569Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Chambers's formula for the graphene and the Hou model with kagome periodicity and applications","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AP","authors_text":"Bernard Helffer (LM-Orsay, Jimena Royo-Letelier (IST Austria), LMJL), Philippe Kerdelhu\\'e (LM-Orsay)","submitted_at":"2014-08-12T19:28:21Z","abstract_excerpt":"The aim of this article is to prove that for the graphene model like for a model considered by the physicist Hou on a kagome lattice, there exists a formula which is similar to the one obtained by Chambers for the Harper model. As an application, we propose a semi-classical analysis of the spectrum of the Hou butterfly near a flat band."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1408.2814","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":"1408.2814","created_at":"2026-05-18T02:45:21.826629+00:00"},{"alias_kind":"arxiv_version","alias_value":"1408.2814v1","created_at":"2026-05-18T02:45:21.826629+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1408.2814","created_at":"2026-05-18T02:45:21.826629+00:00"},{"alias_kind":"pith_short_12","alias_value":"ABSIIUZV272M","created_at":"2026-05-18T12:28:19.803747+00:00"},{"alias_kind":"pith_short_16","alias_value":"ABSIIUZV272MHDN2","created_at":"2026-05-18T12:28:19.803747+00:00"},{"alias_kind":"pith_short_8","alias_value":"ABSIIUZV","created_at":"2026-05-18T12:28:19.803747+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/ABSIIUZV272MHDN2MSZKETP5BG","json":"https://pith.science/pith/ABSIIUZV272MHDN2MSZKETP5BG.json","graph_json":"https://pith.science/api/pith-number/ABSIIUZV272MHDN2MSZKETP5BG/graph.json","events_json":"https://pith.science/api/pith-number/ABSIIUZV272MHDN2MSZKETP5BG/events.json","paper":"https://pith.science/paper/ABSIIUZV"},"agent_actions":{"view_html":"https://pith.science/pith/ABSIIUZV272MHDN2MSZKETP5BG","download_json":"https://pith.science/pith/ABSIIUZV272MHDN2MSZKETP5BG.json","view_paper":"https://pith.science/paper/ABSIIUZV","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1408.2814&json=true","fetch_graph":"https://pith.science/api/pith-number/ABSIIUZV272MHDN2MSZKETP5BG/graph.json","fetch_events":"https://pith.science/api/pith-number/ABSIIUZV272MHDN2MSZKETP5BG/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/ABSIIUZV272MHDN2MSZKETP5BG/action/timestamp_anchor","attest_storage":"https://pith.science/pith/ABSIIUZV272MHDN2MSZKETP5BG/action/storage_attestation","attest_author":"https://pith.science/pith/ABSIIUZV272MHDN2MSZKETP5BG/action/author_attestation","sign_citation":"https://pith.science/pith/ABSIIUZV272MHDN2MSZKETP5BG/action/citation_signature","submit_replication":"https://pith.science/pith/ABSIIUZV272MHDN2MSZKETP5BG/action/replication_record"}},"created_at":"2026-05-18T02:45:21.826629+00:00","updated_at":"2026-05-18T02:45:21.826629+00:00"}