{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2003:FTMMPYSCAOMEMGBDYCWDDSMZXD","short_pith_number":"pith:FTMMPYSC","canonical_record":{"source":{"id":"cond-mat/0309115","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"cond-mat.mes-hall","submitted_at":"2003-09-04T20:06:31Z","cross_cats_sorted":["cond-mat.dis-nn"],"title_canon_sha256":"471c1fc03628e36655b8c429e60cfb372f373445f7858b20da6f269924668439","abstract_canon_sha256":"c327cf634e3fc7c4c01435565fd535e97d9c29704d33f4c34eff69b99063ac28"},"schema_version":"1.0"},"canonical_sha256":"2cd8c7e2420398461823c0ac31c999b8ca3f6d6bc674fd92a9dfbdd964d4ade5","source":{"kind":"arxiv","id":"cond-mat/0309115","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"cond-mat/0309115","created_at":"2026-05-18T01:39:59Z"},{"alias_kind":"arxiv_version","alias_value":"cond-mat/0309115v1","created_at":"2026-05-18T01:39:59Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.cond-mat/0309115","created_at":"2026-05-18T01:39:59Z"},{"alias_kind":"pith_short_12","alias_value":"FTMMPYSCAOME","created_at":"2026-05-18T12:25:51Z"},{"alias_kind":"pith_short_16","alias_value":"FTMMPYSCAOMEMGBD","created_at":"2026-05-18T12:25:51Z"},{"alias_kind":"pith_short_8","alias_value":"FTMMPYSC","created_at":"2026-05-18T12:25:51Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2003:FTMMPYSCAOMEMGBDYCWDDSMZXD","target":"record","payload":{"canonical_record":{"source":{"id":"cond-mat/0309115","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"cond-mat.mes-hall","submitted_at":"2003-09-04T20:06:31Z","cross_cats_sorted":["cond-mat.dis-nn"],"title_canon_sha256":"471c1fc03628e36655b8c429e60cfb372f373445f7858b20da6f269924668439","abstract_canon_sha256":"c327cf634e3fc7c4c01435565fd535e97d9c29704d33f4c34eff69b99063ac28"},"schema_version":"1.0"},"canonical_sha256":"2cd8c7e2420398461823c0ac31c999b8ca3f6d6bc674fd92a9dfbdd964d4ade5","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:39:59.280088Z","signature_b64":"p4WsjCNrA2R7KtYLytTFpmPi9gJe+ovTVaWTdgFwPe1uB3d8hz844pUV8cmkbbcbVXK0gLL9jKA9nGLsGVQLCQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"2cd8c7e2420398461823c0ac31c999b8ca3f6d6bc674fd92a9dfbdd964d4ade5","last_reissued_at":"2026-05-18T01:39:59.279566Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:39:59.279566Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"cond-mat/0309115","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":"2026-05-18T01:39:59Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"yrw6f5q9L9C8Wq12m9dceosuUMsJegJwuCBpJHirmy9AGXjVIcwoOF8bbbshnH/IM/RS2DuRZ1nNiCvERA8yCg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-31T00:41:26.885511Z"},"content_sha256":"d89bf14a79e6346683d5eb9c31de9ae5a45cb17259eaa0ec7d63faf6edf66610","schema_version":"1.0","event_id":"sha256:d89bf14a79e6346683d5eb9c31de9ae5a45cb17259eaa0ec7d63faf6edf66610"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2003:FTMMPYSCAOMEMGBDYCWDDSMZXD","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Localization in the quantum Hall regime","license":"","headline":"","cross_cats":["cond-mat.dis-nn"],"primary_cat":"cond-mat.mes-hall","authors_text":"Bernhard Kramer, Stefan Kettemann, Tomi Ohtsuki","submitted_at":"2003-09-04T20:06:31Z","abstract_excerpt":"The localization properties of electron states in the quantum Hall regime are reviewed. The random Landau model, the random matrix model, the tight-binding Peierls model, and the network model of Chalker and Coddington are introduced. Descriptions in terms of equivalent tight-binding Hamiltonians, and the 2D Dirac model, are outlined. Evidences for the universal critical behavior of the localization length are summarized. A short review of the supersymmetric critical field theory is provided. The interplay between edge states and bulk localization properties is investigated. For a system with "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"cond-mat/0309115","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":"2026-05-18T01:39:59Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Gzypuy+Myi9NMX1XJNe0qMz7uyxLVWiuvqqbLUee+op3nS5S+00V1zrO71nhguuE00Itg1m+sZnFUEXNtSMbCg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-31T00:41:26.886296Z"},"content_sha256":"3a0f3bd45389cc47f6d87cfc4e217cd122c4602b224dd6a03d8181a57a7ff2d5","schema_version":"1.0","event_id":"sha256:3a0f3bd45389cc47f6d87cfc4e217cd122c4602b224dd6a03d8181a57a7ff2d5"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/FTMMPYSCAOMEMGBDYCWDDSMZXD/bundle.json","state_url":"https://pith.science/pith/FTMMPYSCAOMEMGBDYCWDDSMZXD/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/FTMMPYSCAOMEMGBDYCWDDSMZXD/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":"2026-05-31T00:41:26Z","links":{"resolver":"https://pith.science/pith/FTMMPYSCAOMEMGBDYCWDDSMZXD","bundle":"https://pith.science/pith/FTMMPYSCAOMEMGBDYCWDDSMZXD/bundle.json","state":"https://pith.science/pith/FTMMPYSCAOMEMGBDYCWDDSMZXD/state.json","well_known_bundle":"https://pith.science/.well-known/pith/FTMMPYSCAOMEMGBDYCWDDSMZXD/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2003:FTMMPYSCAOMEMGBDYCWDDSMZXD","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":"c327cf634e3fc7c4c01435565fd535e97d9c29704d33f4c34eff69b99063ac28","cross_cats_sorted":["cond-mat.dis-nn"],"license":"","primary_cat":"cond-mat.mes-hall","submitted_at":"2003-09-04T20:06:31Z","title_canon_sha256":"471c1fc03628e36655b8c429e60cfb372f373445f7858b20da6f269924668439"},"schema_version":"1.0","source":{"id":"cond-mat/0309115","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"cond-mat/0309115","created_at":"2026-05-18T01:39:59Z"},{"alias_kind":"arxiv_version","alias_value":"cond-mat/0309115v1","created_at":"2026-05-18T01:39:59Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.cond-mat/0309115","created_at":"2026-05-18T01:39:59Z"},{"alias_kind":"pith_short_12","alias_value":"FTMMPYSCAOME","created_at":"2026-05-18T12:25:51Z"},{"alias_kind":"pith_short_16","alias_value":"FTMMPYSCAOMEMGBD","created_at":"2026-05-18T12:25:51Z"},{"alias_kind":"pith_short_8","alias_value":"FTMMPYSC","created_at":"2026-05-18T12:25:51Z"}],"graph_snapshots":[{"event_id":"sha256:3a0f3bd45389cc47f6d87cfc4e217cd122c4602b224dd6a03d8181a57a7ff2d5","target":"graph","created_at":"2026-05-18T01:39:59Z","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 localization properties of electron states in the quantum Hall regime are reviewed. The random Landau model, the random matrix model, the tight-binding Peierls model, and the network model of Chalker and Coddington are introduced. Descriptions in terms of equivalent tight-binding Hamiltonians, and the 2D Dirac model, are outlined. Evidences for the universal critical behavior of the localization length are summarized. A short review of the supersymmetric critical field theory is provided. The interplay between edge states and bulk localization properties is investigated. For a system with ","authors_text":"Bernhard Kramer, Stefan Kettemann, Tomi Ohtsuki","cross_cats":["cond-mat.dis-nn"],"headline":"","license":"","primary_cat":"cond-mat.mes-hall","submitted_at":"2003-09-04T20:06:31Z","title":"Localization in the quantum Hall regime"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"cond-mat/0309115","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:d89bf14a79e6346683d5eb9c31de9ae5a45cb17259eaa0ec7d63faf6edf66610","target":"record","created_at":"2026-05-18T01:39:59Z","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":"c327cf634e3fc7c4c01435565fd535e97d9c29704d33f4c34eff69b99063ac28","cross_cats_sorted":["cond-mat.dis-nn"],"license":"","primary_cat":"cond-mat.mes-hall","submitted_at":"2003-09-04T20:06:31Z","title_canon_sha256":"471c1fc03628e36655b8c429e60cfb372f373445f7858b20da6f269924668439"},"schema_version":"1.0","source":{"id":"cond-mat/0309115","kind":"arxiv","version":1}},"canonical_sha256":"2cd8c7e2420398461823c0ac31c999b8ca3f6d6bc674fd92a9dfbdd964d4ade5","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"2cd8c7e2420398461823c0ac31c999b8ca3f6d6bc674fd92a9dfbdd964d4ade5","first_computed_at":"2026-05-18T01:39:59.279566Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:39:59.279566Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"p4WsjCNrA2R7KtYLytTFpmPi9gJe+ovTVaWTdgFwPe1uB3d8hz844pUV8cmkbbcbVXK0gLL9jKA9nGLsGVQLCQ==","signature_status":"signed_v1","signed_at":"2026-05-18T01:39:59.280088Z","signed_message":"canonical_sha256_bytes"},"source_id":"cond-mat/0309115","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:d89bf14a79e6346683d5eb9c31de9ae5a45cb17259eaa0ec7d63faf6edf66610","sha256:3a0f3bd45389cc47f6d87cfc4e217cd122c4602b224dd6a03d8181a57a7ff2d5"],"state_sha256":"ce4509c0a72c299866cf7524e033011a0fff8932794128c4358ccd8a94c8c6a9"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"OO/CwZg2AOfFZfFSYvGoMzpsfHUq2yyiooQbfKG8e0s33JFaYAG97iTWTs8dvvUFh86XmyRmpQSo70T6AMHpDw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-31T00:41:26.891353Z","bundle_sha256":"749781d670bcaa47ea7c6f00e054c120718f6f87b076f498f3400a15be09d235"}}