{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2008:Q2O6IHUKHCWRWLE35VNUV4SEL4","short_pith_number":"pith:Q2O6IHUK","canonical_record":{"source":{"id":"0806.2792","kind":"arxiv","version":4},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.mes-hall","submitted_at":"2008-06-17T03:33:49Z","cross_cats_sorted":["cond-mat.mtrl-sci"],"title_canon_sha256":"173219088e75037aa91dd70c3bf3bee7d5ef808991f512998b9000c372f4006c","abstract_canon_sha256":"eab188466efbba2a63963a5b9d4c57fd0b685bedce040a86c2a793ffaffab463"},"schema_version":"1.0"},"canonical_sha256":"869de41e8a38ad1b2c9bed5b4af2445f3d5cb31fe05341c3198f351a4b74a3ac","source":{"kind":"arxiv","id":"0806.2792","version":4},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0806.2792","created_at":"2026-05-18T04:28:30Z"},{"alias_kind":"arxiv_version","alias_value":"0806.2792v4","created_at":"2026-05-18T04:28:30Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0806.2792","created_at":"2026-05-18T04:28:30Z"},{"alias_kind":"pith_short_12","alias_value":"Q2O6IHUKHCWR","created_at":"2026-05-18T12:25:57Z"},{"alias_kind":"pith_short_16","alias_value":"Q2O6IHUKHCWRWLE3","created_at":"2026-05-18T12:25:57Z"},{"alias_kind":"pith_short_8","alias_value":"Q2O6IHUK","created_at":"2026-05-18T12:25:57Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2008:Q2O6IHUKHCWRWLE35VNUV4SEL4","target":"record","payload":{"canonical_record":{"source":{"id":"0806.2792","kind":"arxiv","version":4},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.mes-hall","submitted_at":"2008-06-17T03:33:49Z","cross_cats_sorted":["cond-mat.mtrl-sci"],"title_canon_sha256":"173219088e75037aa91dd70c3bf3bee7d5ef808991f512998b9000c372f4006c","abstract_canon_sha256":"eab188466efbba2a63963a5b9d4c57fd0b685bedce040a86c2a793ffaffab463"},"schema_version":"1.0"},"canonical_sha256":"869de41e8a38ad1b2c9bed5b4af2445f3d5cb31fe05341c3198f351a4b74a3ac","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:28:30.233951Z","signature_b64":"BvLdZXk2QgoPqk2KWEi2Xj+tecFrsfZdyla6Ni5S3xejw8h2EowOSFQrF3XeqZ7g6uLqV3THJLBEMKS9ChsGBg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"869de41e8a38ad1b2c9bed5b4af2445f3d5cb31fe05341c3198f351a4b74a3ac","last_reissued_at":"2026-05-18T04:28:30.233425Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:28:30.233425Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"0806.2792","source_version":4,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T04:28:30Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"wHyWo8+JV6odk9l05YLsBTEZofSWOwO/LY6g9XaDKhBygLKj+5KG5ijxEs123nF9GB6rghZ9dRMtkjHBmjpfDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-12T00:30:38.223419Z"},"content_sha256":"29c2ee24d31d96af3d1fdf0f9d550269349b72d058fcc2bb5ec261fee90f2dac","schema_version":"1.0","event_id":"sha256:29c2ee24d31d96af3d1fdf0f9d550269349b72d058fcc2bb5ec261fee90f2dac"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2008:Q2O6IHUKHCWRWLE35VNUV4SEL4","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Electronic structure of multilayer graphene","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.mtrl-sci"],"primary_cat":"cond-mat.mes-hall","authors_text":"A.H. MacDonald, Hongki Min","submitted_at":"2008-06-17T03:33:49Z","abstract_excerpt":"We study the electronic structure of multilayer graphene using a $\\pi$-orbital continuum model with nearest-neighbor intralayer and interlayer tunneling. Using degenerate state perturbation theory, we show that the low-energy electronic structure of arbitrarily stacked graphene multilayers consists of chiral pseudospin doublets with a conserved chirality sum."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0806.2792","kind":"arxiv","version":4},"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":"2026-05-18T04:28:30Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"2j+nG8bV3bFa9/qggKBEZn81zXsu7rYSxgzqcHB2/ZztcByVWx1DIri2sbYYpvGRoIcs7Y9fbHgpYjmdtQAHDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-12T00:30:38.223772Z"},"content_sha256":"349884e3a5bb8488e68d54ad98c3c7ce3c65a4d2c99316a4d3975b1b239c24d3","schema_version":"1.0","event_id":"sha256:349884e3a5bb8488e68d54ad98c3c7ce3c65a4d2c99316a4d3975b1b239c24d3"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/Q2O6IHUKHCWRWLE35VNUV4SEL4/bundle.json","state_url":"https://pith.science/pith/Q2O6IHUKHCWRWLE35VNUV4SEL4/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/Q2O6IHUKHCWRWLE35VNUV4SEL4/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":"2026-06-12T00:30:38Z","links":{"resolver":"https://pith.science/pith/Q2O6IHUKHCWRWLE35VNUV4SEL4","bundle":"https://pith.science/pith/Q2O6IHUKHCWRWLE35VNUV4SEL4/bundle.json","state":"https://pith.science/pith/Q2O6IHUKHCWRWLE35VNUV4SEL4/state.json","well_known_bundle":"https://pith.science/.well-known/pith/Q2O6IHUKHCWRWLE35VNUV4SEL4/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2008:Q2O6IHUKHCWRWLE35VNUV4SEL4","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":"eab188466efbba2a63963a5b9d4c57fd0b685bedce040a86c2a793ffaffab463","cross_cats_sorted":["cond-mat.mtrl-sci"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.mes-hall","submitted_at":"2008-06-17T03:33:49Z","title_canon_sha256":"173219088e75037aa91dd70c3bf3bee7d5ef808991f512998b9000c372f4006c"},"schema_version":"1.0","source":{"id":"0806.2792","kind":"arxiv","version":4}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0806.2792","created_at":"2026-05-18T04:28:30Z"},{"alias_kind":"arxiv_version","alias_value":"0806.2792v4","created_at":"2026-05-18T04:28:30Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0806.2792","created_at":"2026-05-18T04:28:30Z"},{"alias_kind":"pith_short_12","alias_value":"Q2O6IHUKHCWR","created_at":"2026-05-18T12:25:57Z"},{"alias_kind":"pith_short_16","alias_value":"Q2O6IHUKHCWRWLE3","created_at":"2026-05-18T12:25:57Z"},{"alias_kind":"pith_short_8","alias_value":"Q2O6IHUK","created_at":"2026-05-18T12:25:57Z"}],"graph_snapshots":[{"event_id":"sha256:349884e3a5bb8488e68d54ad98c3c7ce3c65a4d2c99316a4d3975b1b239c24d3","target":"graph","created_at":"2026-05-18T04:28:30Z","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 study the electronic structure of multilayer graphene using a $\\pi$-orbital continuum model with nearest-neighbor intralayer and interlayer tunneling. Using degenerate state perturbation theory, we show that the low-energy electronic structure of arbitrarily stacked graphene multilayers consists of chiral pseudospin doublets with a conserved chirality sum.","authors_text":"A.H. MacDonald, Hongki Min","cross_cats":["cond-mat.mtrl-sci"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.mes-hall","submitted_at":"2008-06-17T03:33:49Z","title":"Electronic structure of multilayer graphene"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0806.2792","kind":"arxiv","version":4},"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":"sha256:29c2ee24d31d96af3d1fdf0f9d550269349b72d058fcc2bb5ec261fee90f2dac","target":"record","created_at":"2026-05-18T04:28:30Z","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":"eab188466efbba2a63963a5b9d4c57fd0b685bedce040a86c2a793ffaffab463","cross_cats_sorted":["cond-mat.mtrl-sci"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.mes-hall","submitted_at":"2008-06-17T03:33:49Z","title_canon_sha256":"173219088e75037aa91dd70c3bf3bee7d5ef808991f512998b9000c372f4006c"},"schema_version":"1.0","source":{"id":"0806.2792","kind":"arxiv","version":4}},"canonical_sha256":"869de41e8a38ad1b2c9bed5b4af2445f3d5cb31fe05341c3198f351a4b74a3ac","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"869de41e8a38ad1b2c9bed5b4af2445f3d5cb31fe05341c3198f351a4b74a3ac","first_computed_at":"2026-05-18T04:28:30.233425Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:28:30.233425Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"BvLdZXk2QgoPqk2KWEi2Xj+tecFrsfZdyla6Ni5S3xejw8h2EowOSFQrF3XeqZ7g6uLqV3THJLBEMKS9ChsGBg==","signature_status":"signed_v1","signed_at":"2026-05-18T04:28:30.233951Z","signed_message":"canonical_sha256_bytes"},"source_id":"0806.2792","source_kind":"arxiv","source_version":4}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:29c2ee24d31d96af3d1fdf0f9d550269349b72d058fcc2bb5ec261fee90f2dac","sha256:349884e3a5bb8488e68d54ad98c3c7ce3c65a4d2c99316a4d3975b1b239c24d3"],"state_sha256":"00a05fc99036562ee5fbbc4f3e72a289795360a7965e752a990de7e096c64924"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"/SNwz2IZmp1sopqtqU1bO6fkmcmRfdn8Qp5m6l5kvuCTyLDTnXn68wTgBOv8JvyUWbhPbm9dnU0FJSxTUvi8AA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-12T00:30:38.225719Z","bundle_sha256":"6604bdc1697389e9549385d234a01bdea9bf73dccdcd5ce3ea9b638214ea0fa8"}}