{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2009:HXIKOWCQKS3UGSD556NAR7M2J2","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":"3ea77e32284c87c1bd2ff1b1667fff58a6a5d7e7894da3a0f4e3600a8687e07d","cross_cats_sorted":["cond-mat.mtrl-sci"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.mes-hall","submitted_at":"2009-06-25T09:03:04Z","title_canon_sha256":"1494051636c8c01d53a29606f9ebc22b4d58df5ef7b24c83704d55e333775144"},"schema_version":"1.0","source":{"id":"0906.4634","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0906.4634","created_at":"2026-05-18T02:13:12Z"},{"alias_kind":"arxiv_version","alias_value":"0906.4634v1","created_at":"2026-05-18T02:13:12Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0906.4634","created_at":"2026-05-18T02:13:12Z"},{"alias_kind":"pith_short_12","alias_value":"HXIKOWCQKS3U","created_at":"2026-05-18T12:25:59Z"},{"alias_kind":"pith_short_16","alias_value":"HXIKOWCQKS3UGSD5","created_at":"2026-05-18T12:25:59Z"},{"alias_kind":"pith_short_8","alias_value":"HXIKOWCQ","created_at":"2026-05-18T12:25:59Z"}],"graph_snapshots":[{"event_id":"sha256:3110bab60085908ec880b67cb2c4c40a4053072834eec45a3c33141321bdd87a","target":"graph","created_at":"2026-05-18T02:13:12Z","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":"The electronic band structure of ABC-stacked multilayer graphene is studied within an effective mass approximation. The electron and hole bands touching at zero energy support chiral quasiparticles characterized by Berry's phase N pi for N-layers, generalizing the low-energy band structure of monolayer and bilayer graphene. We investigate the trigonal-warping deformation of the energy bands and show that the Lifshitz transition, in which the Fermi circle breaks up into separate parts at low energy, reflects Berry's phase N pi. It is particularly prominent in trilayers, N=3, with the Fermi circ","authors_text":"Edward McCann, Mikito Koshino","cross_cats":["cond-mat.mtrl-sci"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.mes-hall","submitted_at":"2009-06-25T09:03:04Z","title":"Trigonal warping and Berry's phase N pi in ABC-stacked multilayer graphene"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0906.4634","kind":"arxiv","version":1},"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":"sha256:99502aedd4735b42184e6439e53335df22ffe4e486605fbf3fa3af82137f45f4","target":"record","created_at":"2026-05-18T02:13:12Z","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":"3ea77e32284c87c1bd2ff1b1667fff58a6a5d7e7894da3a0f4e3600a8687e07d","cross_cats_sorted":["cond-mat.mtrl-sci"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.mes-hall","submitted_at":"2009-06-25T09:03:04Z","title_canon_sha256":"1494051636c8c01d53a29606f9ebc22b4d58df5ef7b24c83704d55e333775144"},"schema_version":"1.0","source":{"id":"0906.4634","kind":"arxiv","version":1}},"canonical_sha256":"3dd0a7585054b743487def9a08fd9a4e8c31904b47f5eb407c39f6d53b57a895","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"3dd0a7585054b743487def9a08fd9a4e8c31904b47f5eb407c39f6d53b57a895","first_computed_at":"2026-05-18T02:13:12.813067Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:13:12.813067Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"o/HPlZIUbNeR/Hpv+Z1V6c2hC7a/zElV5IT55Ry8qPiakbzCCKvtBwuU36HNf4WcslYgFUzXqr/E2wGY1oAKBA==","signature_status":"signed_v1","signed_at":"2026-05-18T02:13:12.813477Z","signed_message":"canonical_sha256_bytes"},"source_id":"0906.4634","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:99502aedd4735b42184e6439e53335df22ffe4e486605fbf3fa3af82137f45f4","sha256:3110bab60085908ec880b67cb2c4c40a4053072834eec45a3c33141321bdd87a"],"state_sha256":"5ededb4ca242aca5b260b4e8a6995748713e5cb4a5ab2000c7c670635f4ffc03"}