{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2009:OGANWVETNIDPAJYYZ5BICRZ3CA","short_pith_number":"pith:OGANWVET","canonical_record":{"source":{"id":"0910.5786","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.mes-hall","submitted_at":"2009-10-30T05:35:07Z","cross_cats_sorted":[],"title_canon_sha256":"ff91dc6fc365c98793ed15f93816562ffb829d37d896c2984415c3fea60be5c7","abstract_canon_sha256":"cc7ca91f6c1b209adac2fead2d7a9968388ce43a9ff207ead0d7794a861eee45"},"schema_version":"1.0"},"canonical_sha256":"7180db54936a06f02718cf4281473b102fdc8e1095bcad8af5d234632c4c332d","source":{"kind":"arxiv","id":"0910.5786","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0910.5786","created_at":"2026-05-18T02:11:01Z"},{"alias_kind":"arxiv_version","alias_value":"0910.5786v1","created_at":"2026-05-18T02:11:01Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0910.5786","created_at":"2026-05-18T02:11:01Z"},{"alias_kind":"pith_short_12","alias_value":"OGANWVETNIDP","created_at":"2026-05-18T12:26:01Z"},{"alias_kind":"pith_short_16","alias_value":"OGANWVETNIDPAJYY","created_at":"2026-05-18T12:26:01Z"},{"alias_kind":"pith_short_8","alias_value":"OGANWVET","created_at":"2026-05-18T12:26:01Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2009:OGANWVETNIDPAJYYZ5BICRZ3CA","target":"record","payload":{"canonical_record":{"source":{"id":"0910.5786","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.mes-hall","submitted_at":"2009-10-30T05:35:07Z","cross_cats_sorted":[],"title_canon_sha256":"ff91dc6fc365c98793ed15f93816562ffb829d37d896c2984415c3fea60be5c7","abstract_canon_sha256":"cc7ca91f6c1b209adac2fead2d7a9968388ce43a9ff207ead0d7794a861eee45"},"schema_version":"1.0"},"canonical_sha256":"7180db54936a06f02718cf4281473b102fdc8e1095bcad8af5d234632c4c332d","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:11:01.523447Z","signature_b64":"dtQJY6WCMUG9b9YpUmd6hxvWyzTgCHGgKOS7yofFtW95Sqt3C0T2Tyd6ICJVWieHO3ImvUmWwR64QQYggMc9CA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"7180db54936a06f02718cf4281473b102fdc8e1095bcad8af5d234632c4c332d","last_reissued_at":"2026-05-18T02:11:01.522585Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:11:01.522585Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"0910.5786","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T02:11:01Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"uOH6DXG2yaPmT/OzS9YHiHhpKOgpvMUja2JE3RBKGElRWj1Cbv8drdUWFHIn5Ujmkm3TSgGo+UTbj2iqwD/uDg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-26T20:56:31.191905Z"},"content_sha256":"13b97ac619cdbabaa27325e91cc13bd3f40f64fe5b3523fc20a5c1d8d086a6df","schema_version":"1.0","event_id":"sha256:13b97ac619cdbabaa27325e91cc13bd3f40f64fe5b3523fc20a5c1d8d086a6df"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2009:OGANWVETNIDPAJYYZ5BICRZ3CA","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Numerical study of quantum Hall effect in two-dimensional multi-band system: single- and multi-layer graphene","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.mes-hall","authors_text":"Masao Arai, Yasuhiro Hatsugai","submitted_at":"2009-10-30T05:35:07Z","abstract_excerpt":"The Chern numbers which correspond to quantized Hall conductance $\\sigma_{xy}$ were calculated for single- and bi-layer honeycomb lattices. The quantization of $\\sigma_{xy}$ occurs in entire energy range. Several large jumps of Chern numbers appear at van-Hove singularities of energy bands without magnetic fields. The plateauxof $\\sigma_{xy}$ are discussed from semi-classical quantization."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0910.5786","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"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T02:11:01Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"LLEvqp+ROHuOo5wfxf0zCtAlxYKWCQBvBmEKpxuU8+JjSwJqC3HU87/Xk3U79Oed3nt3XVkN5x38wZHGPWzuAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-26T20:56:31.192511Z"},"content_sha256":"b3d7302bbc01c317767eb326ae548571b604e91bd4d57aedbb5e844f45846760","schema_version":"1.0","event_id":"sha256:b3d7302bbc01c317767eb326ae548571b604e91bd4d57aedbb5e844f45846760"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/OGANWVETNIDPAJYYZ5BICRZ3CA/bundle.json","state_url":"https://pith.science/pith/OGANWVETNIDPAJYYZ5BICRZ3CA/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/OGANWVETNIDPAJYYZ5BICRZ3CA/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":"2026-05-26T20:56:31Z","links":{"resolver":"https://pith.science/pith/OGANWVETNIDPAJYYZ5BICRZ3CA","bundle":"https://pith.science/pith/OGANWVETNIDPAJYYZ5BICRZ3CA/bundle.json","state":"https://pith.science/pith/OGANWVETNIDPAJYYZ5BICRZ3CA/state.json","well_known_bundle":"https://pith.science/.well-known/pith/OGANWVETNIDPAJYYZ5BICRZ3CA/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2009:OGANWVETNIDPAJYYZ5BICRZ3CA","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":"cc7ca91f6c1b209adac2fead2d7a9968388ce43a9ff207ead0d7794a861eee45","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.mes-hall","submitted_at":"2009-10-30T05:35:07Z","title_canon_sha256":"ff91dc6fc365c98793ed15f93816562ffb829d37d896c2984415c3fea60be5c7"},"schema_version":"1.0","source":{"id":"0910.5786","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0910.5786","created_at":"2026-05-18T02:11:01Z"},{"alias_kind":"arxiv_version","alias_value":"0910.5786v1","created_at":"2026-05-18T02:11:01Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0910.5786","created_at":"2026-05-18T02:11:01Z"},{"alias_kind":"pith_short_12","alias_value":"OGANWVETNIDP","created_at":"2026-05-18T12:26:01Z"},{"alias_kind":"pith_short_16","alias_value":"OGANWVETNIDPAJYY","created_at":"2026-05-18T12:26:01Z"},{"alias_kind":"pith_short_8","alias_value":"OGANWVET","created_at":"2026-05-18T12:26:01Z"}],"graph_snapshots":[{"event_id":"sha256:b3d7302bbc01c317767eb326ae548571b604e91bd4d57aedbb5e844f45846760","target":"graph","created_at":"2026-05-18T02:11:01Z","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 Chern numbers which correspond to quantized Hall conductance $\\sigma_{xy}$ were calculated for single- and bi-layer honeycomb lattices. The quantization of $\\sigma_{xy}$ occurs in entire energy range. Several large jumps of Chern numbers appear at van-Hove singularities of energy bands without magnetic fields. The plateauxof $\\sigma_{xy}$ are discussed from semi-classical quantization.","authors_text":"Masao Arai, Yasuhiro Hatsugai","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.mes-hall","submitted_at":"2009-10-30T05:35:07Z","title":"Numerical study of quantum Hall effect in two-dimensional multi-band system: single- and multi-layer graphene"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0910.5786","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":"sha256:13b97ac619cdbabaa27325e91cc13bd3f40f64fe5b3523fc20a5c1d8d086a6df","target":"record","created_at":"2026-05-18T02:11:01Z","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":"cc7ca91f6c1b209adac2fead2d7a9968388ce43a9ff207ead0d7794a861eee45","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.mes-hall","submitted_at":"2009-10-30T05:35:07Z","title_canon_sha256":"ff91dc6fc365c98793ed15f93816562ffb829d37d896c2984415c3fea60be5c7"},"schema_version":"1.0","source":{"id":"0910.5786","kind":"arxiv","version":1}},"canonical_sha256":"7180db54936a06f02718cf4281473b102fdc8e1095bcad8af5d234632c4c332d","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"7180db54936a06f02718cf4281473b102fdc8e1095bcad8af5d234632c4c332d","first_computed_at":"2026-05-18T02:11:01.522585Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:11:01.522585Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"dtQJY6WCMUG9b9YpUmd6hxvWyzTgCHGgKOS7yofFtW95Sqt3C0T2Tyd6ICJVWieHO3ImvUmWwR64QQYggMc9CA==","signature_status":"signed_v1","signed_at":"2026-05-18T02:11:01.523447Z","signed_message":"canonical_sha256_bytes"},"source_id":"0910.5786","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:13b97ac619cdbabaa27325e91cc13bd3f40f64fe5b3523fc20a5c1d8d086a6df","sha256:b3d7302bbc01c317767eb326ae548571b604e91bd4d57aedbb5e844f45846760"],"state_sha256":"22ef0ab5704ad4e88eb32587cee758c64d912644de56c94a7272aac51121cd06"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"prb2AyVaOCFJKkt4ILZJxxKorA9KdfmdNUp/zXCwuC8LbmnLjj4XWzp6kHpAso1LbYTYpr+lQnWjKHU382cQBQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-26T20:56:31.195521Z","bundle_sha256":"7207c32037cdf2e096d74617f07b212399c8e6ad732da5e4e3bf014d0c45dc9f"}}