{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2017:HKYWDRDXUQ4SOOXCJ4KJG4B4IJ","short_pith_number":"pith:HKYWDRDX","canonical_record":{"source":{"id":"1709.01521","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2017-09-05T18:00:04Z","cross_cats_sorted":["cond-mat.dis-nn","quant-ph"],"title_canon_sha256":"24b1c3dc0ac708cbc99cbd581123dc90de33b59e0f7ab5cd9a427f0542042c9e","abstract_canon_sha256":"e54fecd182ef6d082948cc5c15dd66dd8fd15dd428d8fc0bca5dc4d1e2c8e64b"},"schema_version":"1.0"},"canonical_sha256":"3ab161c477a439273ae24f1493703c42651c52c2745fd2c34b6460cf2c9cfee0","source":{"kind":"arxiv","id":"1709.01521","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1709.01521","created_at":"2026-05-18T00:28:14Z"},{"alias_kind":"arxiv_version","alias_value":"1709.01521v2","created_at":"2026-05-18T00:28:14Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1709.01521","created_at":"2026-05-18T00:28:14Z"},{"alias_kind":"pith_short_12","alias_value":"HKYWDRDXUQ4S","created_at":"2026-05-18T12:31:18Z"},{"alias_kind":"pith_short_16","alias_value":"HKYWDRDXUQ4SOOXC","created_at":"2026-05-18T12:31:18Z"},{"alias_kind":"pith_short_8","alias_value":"HKYWDRDX","created_at":"2026-05-18T12:31:18Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2017:HKYWDRDXUQ4SOOXCJ4KJG4B4IJ","target":"record","payload":{"canonical_record":{"source":{"id":"1709.01521","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2017-09-05T18:00:04Z","cross_cats_sorted":["cond-mat.dis-nn","quant-ph"],"title_canon_sha256":"24b1c3dc0ac708cbc99cbd581123dc90de33b59e0f7ab5cd9a427f0542042c9e","abstract_canon_sha256":"e54fecd182ef6d082948cc5c15dd66dd8fd15dd428d8fc0bca5dc4d1e2c8e64b"},"schema_version":"1.0"},"canonical_sha256":"3ab161c477a439273ae24f1493703c42651c52c2745fd2c34b6460cf2c9cfee0","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:28:14.322725Z","signature_b64":"g/GMC2lqal88FZKfafEc+P44+YhVDw55D9gUCje0BCNbN0BpiKGSmTBCir5cvEN8rUiQhG4ZRK1L6TwdjqkKDQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"3ab161c477a439273ae24f1493703c42651c52c2745fd2c34b6460cf2c9cfee0","last_reissued_at":"2026-05-18T00:28:14.321962Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:28:14.321962Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1709.01521","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T00:28:14Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Pc3SzF9uw+Ov82Q+gxn6oyu5gfrO1SYDusHGQdFlpWGSbKpCnMlBnlT2AGeDnNiDVinBSmnvygS9zIOMV6sjAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-27T17:05:05.039433Z"},"content_sha256":"d68b88d74b6c5bb1161b01e45523dcebe570ccb8d12e76c25161d7f1f4aa790f","schema_version":"1.0","event_id":"sha256:d68b88d74b6c5bb1161b01e45523dcebe570ccb8d12e76c25161d7f1f4aa790f"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2017:HKYWDRDXUQ4SOOXCJ4KJG4B4IJ","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Anderson localization transitions with and without random potentials","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.dis-nn","quant-ph"],"primary_cat":"cond-mat.stat-mech","authors_text":"David A. Huse, Trithep Devakul","submitted_at":"2017-09-05T18:00:04Z","abstract_excerpt":"We explore single-particle Anderson localization due to nonrandom quasiperiodic potentials in two and three dimensions. We introduce a class of self-dual models that generalize the one-dimensional Aubry-Andr\\'e model to higher dimensions. In three dimensions (3D) we find that the Anderson localization transitions appear to be in the same universality class as for random potentials. In scaling or renormalization group terms, this means that randomness of the potential is irrelevant at the Anderson localization transitions in 3D. In two dimensions (2D) we also explore the Ando model, which is in"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1709.01521","kind":"arxiv","version":2},"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":"2026-05-18T00:28:14Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"4/cplyrsPDiAMol7fePyFTXCAuxw5JQeqEC5lv7MLrv59PcoP9HK5enCqEZb4WoIUVPiCGEcwShenaSh0h+TAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-27T17:05:05.040124Z"},"content_sha256":"a6df08181fee4fd921cd548b931536b4e39c9359707316aa1c9504546ac1dbe8","schema_version":"1.0","event_id":"sha256:a6df08181fee4fd921cd548b931536b4e39c9359707316aa1c9504546ac1dbe8"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/HKYWDRDXUQ4SOOXCJ4KJG4B4IJ/bundle.json","state_url":"https://pith.science/pith/HKYWDRDXUQ4SOOXCJ4KJG4B4IJ/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/HKYWDRDXUQ4SOOXCJ4KJG4B4IJ/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":"2026-05-27T17:05:05Z","links":{"resolver":"https://pith.science/pith/HKYWDRDXUQ4SOOXCJ4KJG4B4IJ","bundle":"https://pith.science/pith/HKYWDRDXUQ4SOOXCJ4KJG4B4IJ/bundle.json","state":"https://pith.science/pith/HKYWDRDXUQ4SOOXCJ4KJG4B4IJ/state.json","well_known_bundle":"https://pith.science/.well-known/pith/HKYWDRDXUQ4SOOXCJ4KJG4B4IJ/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:HKYWDRDXUQ4SOOXCJ4KJG4B4IJ","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":"e54fecd182ef6d082948cc5c15dd66dd8fd15dd428d8fc0bca5dc4d1e2c8e64b","cross_cats_sorted":["cond-mat.dis-nn","quant-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2017-09-05T18:00:04Z","title_canon_sha256":"24b1c3dc0ac708cbc99cbd581123dc90de33b59e0f7ab5cd9a427f0542042c9e"},"schema_version":"1.0","source":{"id":"1709.01521","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1709.01521","created_at":"2026-05-18T00:28:14Z"},{"alias_kind":"arxiv_version","alias_value":"1709.01521v2","created_at":"2026-05-18T00:28:14Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1709.01521","created_at":"2026-05-18T00:28:14Z"},{"alias_kind":"pith_short_12","alias_value":"HKYWDRDXUQ4S","created_at":"2026-05-18T12:31:18Z"},{"alias_kind":"pith_short_16","alias_value":"HKYWDRDXUQ4SOOXC","created_at":"2026-05-18T12:31:18Z"},{"alias_kind":"pith_short_8","alias_value":"HKYWDRDX","created_at":"2026-05-18T12:31:18Z"}],"graph_snapshots":[{"event_id":"sha256:a6df08181fee4fd921cd548b931536b4e39c9359707316aa1c9504546ac1dbe8","target":"graph","created_at":"2026-05-18T00:28:14Z","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 explore single-particle Anderson localization due to nonrandom quasiperiodic potentials in two and three dimensions. We introduce a class of self-dual models that generalize the one-dimensional Aubry-Andr\\'e model to higher dimensions. In three dimensions (3D) we find that the Anderson localization transitions appear to be in the same universality class as for random potentials. In scaling or renormalization group terms, this means that randomness of the potential is irrelevant at the Anderson localization transitions in 3D. In two dimensions (2D) we also explore the Ando model, which is in","authors_text":"David A. Huse, Trithep Devakul","cross_cats":["cond-mat.dis-nn","quant-ph"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2017-09-05T18:00:04Z","title":"Anderson localization transitions with and without random potentials"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1709.01521","kind":"arxiv","version":2},"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:d68b88d74b6c5bb1161b01e45523dcebe570ccb8d12e76c25161d7f1f4aa790f","target":"record","created_at":"2026-05-18T00:28:14Z","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":"e54fecd182ef6d082948cc5c15dd66dd8fd15dd428d8fc0bca5dc4d1e2c8e64b","cross_cats_sorted":["cond-mat.dis-nn","quant-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2017-09-05T18:00:04Z","title_canon_sha256":"24b1c3dc0ac708cbc99cbd581123dc90de33b59e0f7ab5cd9a427f0542042c9e"},"schema_version":"1.0","source":{"id":"1709.01521","kind":"arxiv","version":2}},"canonical_sha256":"3ab161c477a439273ae24f1493703c42651c52c2745fd2c34b6460cf2c9cfee0","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"3ab161c477a439273ae24f1493703c42651c52c2745fd2c34b6460cf2c9cfee0","first_computed_at":"2026-05-18T00:28:14.321962Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:28:14.321962Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"g/GMC2lqal88FZKfafEc+P44+YhVDw55D9gUCje0BCNbN0BpiKGSmTBCir5cvEN8rUiQhG4ZRK1L6TwdjqkKDQ==","signature_status":"signed_v1","signed_at":"2026-05-18T00:28:14.322725Z","signed_message":"canonical_sha256_bytes"},"source_id":"1709.01521","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:d68b88d74b6c5bb1161b01e45523dcebe570ccb8d12e76c25161d7f1f4aa790f","sha256:a6df08181fee4fd921cd548b931536b4e39c9359707316aa1c9504546ac1dbe8"],"state_sha256":"e10940c7ebf1daac46f90611b63abf6539db14f6f2cb20b852a8894981e0572f"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Pt2sbdbiy21TpKGrmf0IjuwbTCB8+ft7OovaROMYV6gqEp1/XFmzMyQMVCN0LsjWm7dsl7KqH8PPGpF7I/oPCA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-27T17:05:05.044025Z","bundle_sha256":"f93fbe2e4d596cc795a17f8adeed982483d97a8dee4b8d67f679ae06271fd92d"}}