{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2016:3BZ7QK4VTSLITLHKCQ5UTBOXK5","short_pith_number":"pith:3BZ7QK4V","canonical_record":{"source":{"id":"1603.02296","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2016-03-07T21:11:19Z","cross_cats_sorted":["cond-mat.dis-nn"],"title_canon_sha256":"c7b2761cf3559886c32d3a93e70c713483a2ade86478a0291a62d1666eb7a498","abstract_canon_sha256":"fa7b5bcad5cd66d7471a32af804ff5ef4c374cabb59ad58cf18ff5fb81148cbd"},"schema_version":"1.0"},"canonical_sha256":"d873f82b959c9689acea143b4985d757567f4c3325aa9fa0da6144ea4a93f8d8","source":{"kind":"arxiv","id":"1603.02296","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1603.02296","created_at":"2026-05-18T01:12:54Z"},{"alias_kind":"arxiv_version","alias_value":"1603.02296v3","created_at":"2026-05-18T01:12:54Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1603.02296","created_at":"2026-05-18T01:12:54Z"},{"alias_kind":"pith_short_12","alias_value":"3BZ7QK4VTSLI","created_at":"2026-05-18T12:29:55Z"},{"alias_kind":"pith_short_16","alias_value":"3BZ7QK4VTSLITLHK","created_at":"2026-05-18T12:29:55Z"},{"alias_kind":"pith_short_8","alias_value":"3BZ7QK4V","created_at":"2026-05-18T12:29:55Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2016:3BZ7QK4VTSLITLHKCQ5UTBOXK5","target":"record","payload":{"canonical_record":{"source":{"id":"1603.02296","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2016-03-07T21:11:19Z","cross_cats_sorted":["cond-mat.dis-nn"],"title_canon_sha256":"c7b2761cf3559886c32d3a93e70c713483a2ade86478a0291a62d1666eb7a498","abstract_canon_sha256":"fa7b5bcad5cd66d7471a32af804ff5ef4c374cabb59ad58cf18ff5fb81148cbd"},"schema_version":"1.0"},"canonical_sha256":"d873f82b959c9689acea143b4985d757567f4c3325aa9fa0da6144ea4a93f8d8","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:12:54.895668Z","signature_b64":"hJtfW//tnUHGrbhDCUv6kalkWkf27fQ9L/8MY04VF3McsUJRMflDdaVG3+f8UcKY2HrM+GxpzhiaA/pMYsVmDg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"d873f82b959c9689acea143b4985d757567f4c3325aa9fa0da6144ea4a93f8d8","last_reissued_at":"2026-05-18T01:12:54.895321Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:12:54.895321Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1603.02296","source_version":3,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T01:12:54Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"TwRSFE7F0VS4eAJBcDsuxAM5zDQO9NC4DEKNT9BxaAVsJanQ677a1Aw1UqIx0rsoGWZptwiAdEdJiJFoefNpBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-26T07:54:12.294036Z"},"content_sha256":"179ef28d69c6b35c4ad0c6af92c011a6e2b2716eb58d5697692582c647fc4f55","schema_version":"1.0","event_id":"sha256:179ef28d69c6b35c4ad0c6af92c011a6e2b2716eb58d5697692582c647fc4f55"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2016:3BZ7QK4VTSLITLHKCQ5UTBOXK5","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Many-body localization phase transition: A simplified strong-randomness approximate renormalization group","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.dis-nn"],"primary_cat":"cond-mat.stat-mech","authors_text":"Bo Zhao, David A. Huse, Liangsheng Zhang, Trithep Devakul","submitted_at":"2016-03-07T21:11:19Z","abstract_excerpt":"We present a simplified strong-randomness renormalization group (RG) that captures some aspects of the many-body localization (MBL) phase transition in generic disordered one-dimensional systems. This RG can be formulated analytically, and the critical fixed point distribution and critical exponents (that satisfy the Chayes inequality) are obtained to numerical precision by solving integro-differential equations. This reproduces many, but not all, of the qualitative features of the MBL phase transition that are suggested by previous numerical work and approximate RG studies: our RG might serve"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1603.02296","kind":"arxiv","version":3},"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":"2026-05-18T01:12:54Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"KLHzsbLkI5n8xETQxu5Phd/T9OlVI9Jl0GjF6rxpMbF6qWPqoLXbN3868L+TwdbjffDUDjG670AlQCHqdcNrAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-26T07:54:12.294734Z"},"content_sha256":"b7a7e452101e63d38a208aa8390091e3b4f2636e86f9ee07bfcbf180d20b21ea","schema_version":"1.0","event_id":"sha256:b7a7e452101e63d38a208aa8390091e3b4f2636e86f9ee07bfcbf180d20b21ea"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/3BZ7QK4VTSLITLHKCQ5UTBOXK5/bundle.json","state_url":"https://pith.science/pith/3BZ7QK4VTSLITLHKCQ5UTBOXK5/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/3BZ7QK4VTSLITLHKCQ5UTBOXK5/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":"2026-05-26T07:54:12Z","links":{"resolver":"https://pith.science/pith/3BZ7QK4VTSLITLHKCQ5UTBOXK5","bundle":"https://pith.science/pith/3BZ7QK4VTSLITLHKCQ5UTBOXK5/bundle.json","state":"https://pith.science/pith/3BZ7QK4VTSLITLHKCQ5UTBOXK5/state.json","well_known_bundle":"https://pith.science/.well-known/pith/3BZ7QK4VTSLITLHKCQ5UTBOXK5/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:3BZ7QK4VTSLITLHKCQ5UTBOXK5","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":"fa7b5bcad5cd66d7471a32af804ff5ef4c374cabb59ad58cf18ff5fb81148cbd","cross_cats_sorted":["cond-mat.dis-nn"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2016-03-07T21:11:19Z","title_canon_sha256":"c7b2761cf3559886c32d3a93e70c713483a2ade86478a0291a62d1666eb7a498"},"schema_version":"1.0","source":{"id":"1603.02296","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1603.02296","created_at":"2026-05-18T01:12:54Z"},{"alias_kind":"arxiv_version","alias_value":"1603.02296v3","created_at":"2026-05-18T01:12:54Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1603.02296","created_at":"2026-05-18T01:12:54Z"},{"alias_kind":"pith_short_12","alias_value":"3BZ7QK4VTSLI","created_at":"2026-05-18T12:29:55Z"},{"alias_kind":"pith_short_16","alias_value":"3BZ7QK4VTSLITLHK","created_at":"2026-05-18T12:29:55Z"},{"alias_kind":"pith_short_8","alias_value":"3BZ7QK4V","created_at":"2026-05-18T12:29:55Z"}],"graph_snapshots":[{"event_id":"sha256:b7a7e452101e63d38a208aa8390091e3b4f2636e86f9ee07bfcbf180d20b21ea","target":"graph","created_at":"2026-05-18T01:12:54Z","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 present a simplified strong-randomness renormalization group (RG) that captures some aspects of the many-body localization (MBL) phase transition in generic disordered one-dimensional systems. This RG can be formulated analytically, and the critical fixed point distribution and critical exponents (that satisfy the Chayes inequality) are obtained to numerical precision by solving integro-differential equations. This reproduces many, but not all, of the qualitative features of the MBL phase transition that are suggested by previous numerical work and approximate RG studies: our RG might serve","authors_text":"Bo Zhao, David A. Huse, Liangsheng Zhang, Trithep Devakul","cross_cats":["cond-mat.dis-nn"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2016-03-07T21:11:19Z","title":"Many-body localization phase transition: A simplified strong-randomness approximate renormalization group"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1603.02296","kind":"arxiv","version":3},"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":"sha256:179ef28d69c6b35c4ad0c6af92c011a6e2b2716eb58d5697692582c647fc4f55","target":"record","created_at":"2026-05-18T01:12:54Z","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":"fa7b5bcad5cd66d7471a32af804ff5ef4c374cabb59ad58cf18ff5fb81148cbd","cross_cats_sorted":["cond-mat.dis-nn"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2016-03-07T21:11:19Z","title_canon_sha256":"c7b2761cf3559886c32d3a93e70c713483a2ade86478a0291a62d1666eb7a498"},"schema_version":"1.0","source":{"id":"1603.02296","kind":"arxiv","version":3}},"canonical_sha256":"d873f82b959c9689acea143b4985d757567f4c3325aa9fa0da6144ea4a93f8d8","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"d873f82b959c9689acea143b4985d757567f4c3325aa9fa0da6144ea4a93f8d8","first_computed_at":"2026-05-18T01:12:54.895321Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:12:54.895321Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"hJtfW//tnUHGrbhDCUv6kalkWkf27fQ9L/8MY04VF3McsUJRMflDdaVG3+f8UcKY2HrM+GxpzhiaA/pMYsVmDg==","signature_status":"signed_v1","signed_at":"2026-05-18T01:12:54.895668Z","signed_message":"canonical_sha256_bytes"},"source_id":"1603.02296","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:179ef28d69c6b35c4ad0c6af92c011a6e2b2716eb58d5697692582c647fc4f55","sha256:b7a7e452101e63d38a208aa8390091e3b4f2636e86f9ee07bfcbf180d20b21ea"],"state_sha256":"039f57c90cd7752ce435bc29525a51ce5d1f5192e1cc1c8b651eae26af27c274"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"HdXarRz3nlETeVIoSuGFYbFz9bFX58fZc8z2oGlgo4L9JAS7b9SnvUcAnJfUY4H5Q3C6no5frEa2adknne0qBA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-26T07:54:12.298366Z","bundle_sha256":"4777a0e50586d634bc9e944dba485812cb77e596bebb7037fcedc7a0a8109feb"}}