{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2005:ZSQ4SYUXB453BLA6N5Q4ZKEWPX","short_pith_number":"pith:ZSQ4SYUX","canonical_record":{"source":{"id":"cond-mat/0507594","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"cond-mat.mes-hall","submitted_at":"2005-07-26T05:23:47Z","cross_cats_sorted":[],"title_canon_sha256":"111a7428c4b10551dce5ff3941d94ad91a7fec33fc9218ea85d3dfad59364806","abstract_canon_sha256":"9142938f7d9787062e60c8f1e67c4205563a7ab6c9ae83a8cd95e745b81d9c76"},"schema_version":"1.0"},"canonical_sha256":"cca1c962970f3bb0ac1e6f61cca8967df763bb02fd71ffdf6fff2b5b2b3b8745","source":{"kind":"arxiv","id":"cond-mat/0507594","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"cond-mat/0507594","created_at":"2026-05-18T01:39:50Z"},{"alias_kind":"arxiv_version","alias_value":"cond-mat/0507594v1","created_at":"2026-05-18T01:39:50Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.cond-mat/0507594","created_at":"2026-05-18T01:39:50Z"},{"alias_kind":"pith_short_12","alias_value":"ZSQ4SYUXB453","created_at":"2026-05-18T12:25:53Z"},{"alias_kind":"pith_short_16","alias_value":"ZSQ4SYUXB453BLA6","created_at":"2026-05-18T12:25:53Z"},{"alias_kind":"pith_short_8","alias_value":"ZSQ4SYUX","created_at":"2026-05-18T12:25:53Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2005:ZSQ4SYUXB453BLA6N5Q4ZKEWPX","target":"record","payload":{"canonical_record":{"source":{"id":"cond-mat/0507594","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"cond-mat.mes-hall","submitted_at":"2005-07-26T05:23:47Z","cross_cats_sorted":[],"title_canon_sha256":"111a7428c4b10551dce5ff3941d94ad91a7fec33fc9218ea85d3dfad59364806","abstract_canon_sha256":"9142938f7d9787062e60c8f1e67c4205563a7ab6c9ae83a8cd95e745b81d9c76"},"schema_version":"1.0"},"canonical_sha256":"cca1c962970f3bb0ac1e6f61cca8967df763bb02fd71ffdf6fff2b5b2b3b8745","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:39:50.691513Z","signature_b64":"VmPRHEYX1xci+jrKzYMVHBElB7f4gNSO/DapPy+Y5aUbgEG7+MdrCCRTwJ4wT6UPCl3gK2RGL4aVoOI1VU51DA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"cca1c962970f3bb0ac1e6f61cca8967df763bb02fd71ffdf6fff2b5b2b3b8745","last_reissued_at":"2026-05-18T01:39:50.690797Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:39:50.690797Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"cond-mat/0507594","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":"2026-05-18T01:39:50Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"utdi7xnJs8rZeA8xGqjmrpEgV0CaQFz0HdYB+fCosiJc8GodM3faprZUmtHszVN1RJ2v1CIJnXptSPnyCW3cCw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-06T08:24:49.834935Z"},"content_sha256":"179592aaef119583d1a7af87cca50de964e2ef046ece55cb59227d00ddff7444","schema_version":"1.0","event_id":"sha256:179592aaef119583d1a7af87cca50de964e2ef046ece55cb59227d00ddff7444"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2005:ZSQ4SYUXB453BLA6N5Q4ZKEWPX","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Quantum Hall Effect on the Hofstadter Butterfly","license":"","headline":"","cross_cats":[],"primary_cat":"cond-mat.mes-hall","authors_text":"Mikito Koshino, Tsuneya Ando","submitted_at":"2005-07-26T05:23:47Z","abstract_excerpt":"Motivated by recent experimental attempts to detect the Hofstadter butterfly, we numerically calculate the Hall conductivity in a modulated two-dimensional electron system with disorder in the quantum Hall regime. We identify the critical energies where the states are extended for each of butterfly subbands, and obtain the trajectory as a function of the disorder. Remarkably, we find that when the modulation becomes anisotropic, the critical energy branches accompanying a change of the Hall conductivity."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"cond-mat/0507594","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":"2026-05-18T01:39:50Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"D9ujoCk7mcXtBjc73UUTN53kRHTQG25whBT2+hq709379n4Ctc0wKMGtH13WMBlmcr1cCrvjgQxb2ZVrvjbHDQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-06T08:24:49.835596Z"},"content_sha256":"dabc9b57fb748d05c37d0368069047f601cfb713ed378fc6fcf90bc0ce9e07e3","schema_version":"1.0","event_id":"sha256:dabc9b57fb748d05c37d0368069047f601cfb713ed378fc6fcf90bc0ce9e07e3"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/ZSQ4SYUXB453BLA6N5Q4ZKEWPX/bundle.json","state_url":"https://pith.science/pith/ZSQ4SYUXB453BLA6N5Q4ZKEWPX/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/ZSQ4SYUXB453BLA6N5Q4ZKEWPX/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":"2026-06-06T08:24:49Z","links":{"resolver":"https://pith.science/pith/ZSQ4SYUXB453BLA6N5Q4ZKEWPX","bundle":"https://pith.science/pith/ZSQ4SYUXB453BLA6N5Q4ZKEWPX/bundle.json","state":"https://pith.science/pith/ZSQ4SYUXB453BLA6N5Q4ZKEWPX/state.json","well_known_bundle":"https://pith.science/.well-known/pith/ZSQ4SYUXB453BLA6N5Q4ZKEWPX/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2005:ZSQ4SYUXB453BLA6N5Q4ZKEWPX","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":"9142938f7d9787062e60c8f1e67c4205563a7ab6c9ae83a8cd95e745b81d9c76","cross_cats_sorted":[],"license":"","primary_cat":"cond-mat.mes-hall","submitted_at":"2005-07-26T05:23:47Z","title_canon_sha256":"111a7428c4b10551dce5ff3941d94ad91a7fec33fc9218ea85d3dfad59364806"},"schema_version":"1.0","source":{"id":"cond-mat/0507594","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"cond-mat/0507594","created_at":"2026-05-18T01:39:50Z"},{"alias_kind":"arxiv_version","alias_value":"cond-mat/0507594v1","created_at":"2026-05-18T01:39:50Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.cond-mat/0507594","created_at":"2026-05-18T01:39:50Z"},{"alias_kind":"pith_short_12","alias_value":"ZSQ4SYUXB453","created_at":"2026-05-18T12:25:53Z"},{"alias_kind":"pith_short_16","alias_value":"ZSQ4SYUXB453BLA6","created_at":"2026-05-18T12:25:53Z"},{"alias_kind":"pith_short_8","alias_value":"ZSQ4SYUX","created_at":"2026-05-18T12:25:53Z"}],"graph_snapshots":[{"event_id":"sha256:dabc9b57fb748d05c37d0368069047f601cfb713ed378fc6fcf90bc0ce9e07e3","target":"graph","created_at":"2026-05-18T01:39:50Z","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":"Motivated by recent experimental attempts to detect the Hofstadter butterfly, we numerically calculate the Hall conductivity in a modulated two-dimensional electron system with disorder in the quantum Hall regime. We identify the critical energies where the states are extended for each of butterfly subbands, and obtain the trajectory as a function of the disorder. Remarkably, we find that when the modulation becomes anisotropic, the critical energy branches accompanying a change of the Hall conductivity.","authors_text":"Mikito Koshino, Tsuneya Ando","cross_cats":[],"headline":"","license":"","primary_cat":"cond-mat.mes-hall","submitted_at":"2005-07-26T05:23:47Z","title":"Quantum Hall Effect on the Hofstadter Butterfly"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"cond-mat/0507594","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":"sha256:179592aaef119583d1a7af87cca50de964e2ef046ece55cb59227d00ddff7444","target":"record","created_at":"2026-05-18T01:39:50Z","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":"9142938f7d9787062e60c8f1e67c4205563a7ab6c9ae83a8cd95e745b81d9c76","cross_cats_sorted":[],"license":"","primary_cat":"cond-mat.mes-hall","submitted_at":"2005-07-26T05:23:47Z","title_canon_sha256":"111a7428c4b10551dce5ff3941d94ad91a7fec33fc9218ea85d3dfad59364806"},"schema_version":"1.0","source":{"id":"cond-mat/0507594","kind":"arxiv","version":1}},"canonical_sha256":"cca1c962970f3bb0ac1e6f61cca8967df763bb02fd71ffdf6fff2b5b2b3b8745","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"cca1c962970f3bb0ac1e6f61cca8967df763bb02fd71ffdf6fff2b5b2b3b8745","first_computed_at":"2026-05-18T01:39:50.690797Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:39:50.690797Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"VmPRHEYX1xci+jrKzYMVHBElB7f4gNSO/DapPy+Y5aUbgEG7+MdrCCRTwJ4wT6UPCl3gK2RGL4aVoOI1VU51DA==","signature_status":"signed_v1","signed_at":"2026-05-18T01:39:50.691513Z","signed_message":"canonical_sha256_bytes"},"source_id":"cond-mat/0507594","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:179592aaef119583d1a7af87cca50de964e2ef046ece55cb59227d00ddff7444","sha256:dabc9b57fb748d05c37d0368069047f601cfb713ed378fc6fcf90bc0ce9e07e3"],"state_sha256":"ba3ea7019e65a02a4ccfd8f749b766d3f2db0fab2e1e0267ef2475b7a7cf19cf"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"/Cz2I0bUjz2/hCSlvj5bOHeSou6ZDz+QJ8J3kkI5+JgKISiC5pqF50KOiyYVx88xsL3tkvZil1tJhbRlRJ0BDg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-06T08:24:49.839207Z","bundle_sha256":"2b4ab49ea07da198a877a6c386569b364c164c94337f6fadf4dfc639e55bbac9"}}