{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2019:KZGFTM5ISINTALS4RFIXTYKC4S","short_pith_number":"pith:KZGFTM5I","canonical_record":{"source":{"id":"1901.02902","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2019-01-09T19:00:37Z","cross_cats_sorted":["cond-mat.dis-nn","quant-ph"],"title_canon_sha256":"6a8d1d7897001c85c4a98c7f6c48c7cf6d1c41aeaedb5d5e36cb6a3bf6b3587c","abstract_canon_sha256":"7d8ae41129edcd457d050a243a8c20d42e2fe7f4bc8778a418ee9bf73adf4b60"},"schema_version":"1.0"},"canonical_sha256":"564c59b3a8921b302e5c895179e142e487ba3932714f56a2c5313008f03a06de","source":{"kind":"arxiv","id":"1901.02902","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1901.02902","created_at":"2026-07-05T00:06:33Z"},{"alias_kind":"arxiv_version","alias_value":"1901.02902v1","created_at":"2026-07-05T00:06:33Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1901.02902","created_at":"2026-07-05T00:06:33Z"},{"alias_kind":"pith_short_12","alias_value":"KZGFTM5ISINT","created_at":"2026-07-05T00:06:33Z"},{"alias_kind":"pith_short_16","alias_value":"KZGFTM5ISINTALS4","created_at":"2026-07-05T00:06:33Z"},{"alias_kind":"pith_short_8","alias_value":"KZGFTM5I","created_at":"2026-07-05T00:06:33Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2019:KZGFTM5ISINTALS4RFIXTYKC4S","target":"record","payload":{"canonical_record":{"source":{"id":"1901.02902","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2019-01-09T19:00:37Z","cross_cats_sorted":["cond-mat.dis-nn","quant-ph"],"title_canon_sha256":"6a8d1d7897001c85c4a98c7f6c48c7cf6d1c41aeaedb5d5e36cb6a3bf6b3587c","abstract_canon_sha256":"7d8ae41129edcd457d050a243a8c20d42e2fe7f4bc8778a418ee9bf73adf4b60"},"schema_version":"1.0"},"canonical_sha256":"564c59b3a8921b302e5c895179e142e487ba3932714f56a2c5313008f03a06de","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T00:06:33.564324Z","signature_b64":"AoN8RhXp1jPImaVGXYTyzoNmKlSbygGJvIGu+Yxn8jrIwCLiMcVl82l+uBiPQISvc1YXv+le4tq3sqpnGZU9Dg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"564c59b3a8921b302e5c895179e142e487ba3932714f56a2c5313008f03a06de","last_reissued_at":"2026-07-05T00:06:33.563782Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T00:06:33.563782Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1901.02902","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":"2026-07-05T00:06:33Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Y8rl+piePDMOMrhG418W9W3u/dg5I8OxsfIhtod+4wMHBh2yAnKzMN2ZbOUTSqICb4DqVDhzCe7P5sQQB3ebCw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-15T13:31:02.688505Z"},"content_sha256":"bc424c04d0e4b60e3139848c70a0b9edabf38b45c337cb95f660bd85a7da590d","schema_version":"1.0","event_id":"sha256:bc424c04d0e4b60e3139848c70a0b9edabf38b45c337cb95f660bd85a7da590d"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2019:KZGFTM5ISINTALS4RFIXTYKC4S","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Length scales in the many-body localized phase and their spectral signatures","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.dis-nn","quant-ph"],"primary_cat":"cond-mat.str-el","authors_text":"Abhishek Raj, David Pekker, Sarang Gopalakrishnan, Vadim Oganesyan, Vipin Kerala Varma","submitted_at":"2019-01-09T19:00:37Z","abstract_excerpt":"We compute and compare the decay lengths of several correlation functions and effective coupling constants in the many-body localized (MBL) phase. To this end, we consider the distribution of the logarithms of these couplings and correlators: in each case the log-coupling follows a normal distribution with mean and variance that grow linearly with separation. Thus, a localization length is asymptotically sharply defined for each of these quantities. These localization lengths differ numerically from one another, but all of them remain short up to the numerically observed MBL transition, indica"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1901.02902","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/1901.02902/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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":"2026-07-05T00:06:33Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Kaduon2zk95ghenlbkmORPDgqQ+YgFd5kVbgh6lj06605jBVujKYToxzmcxibFsKbA8wfrHfAmvd5W6+tYcdAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-15T13:31:02.689026Z"},"content_sha256":"14e36efca749ae01461572bc04b4317a51145669d6434e7a6d797cfe656ebd1a","schema_version":"1.0","event_id":"sha256:14e36efca749ae01461572bc04b4317a51145669d6434e7a6d797cfe656ebd1a"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/KZGFTM5ISINTALS4RFIXTYKC4S/bundle.json","state_url":"https://pith.science/pith/KZGFTM5ISINTALS4RFIXTYKC4S/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/KZGFTM5ISINTALS4RFIXTYKC4S/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":"2026-08-15T13:31:02Z","links":{"resolver":"https://pith.science/pith/KZGFTM5ISINTALS4RFIXTYKC4S","bundle":"https://pith.science/pith/KZGFTM5ISINTALS4RFIXTYKC4S/bundle.json","state":"https://pith.science/pith/KZGFTM5ISINTALS4RFIXTYKC4S/state.json","well_known_bundle":"https://pith.science/.well-known/pith/KZGFTM5ISINTALS4RFIXTYKC4S/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2019:KZGFTM5ISINTALS4RFIXTYKC4S","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":"7d8ae41129edcd457d050a243a8c20d42e2fe7f4bc8778a418ee9bf73adf4b60","cross_cats_sorted":["cond-mat.dis-nn","quant-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2019-01-09T19:00:37Z","title_canon_sha256":"6a8d1d7897001c85c4a98c7f6c48c7cf6d1c41aeaedb5d5e36cb6a3bf6b3587c"},"schema_version":"1.0","source":{"id":"1901.02902","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1901.02902","created_at":"2026-07-05T00:06:33Z"},{"alias_kind":"arxiv_version","alias_value":"1901.02902v1","created_at":"2026-07-05T00:06:33Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1901.02902","created_at":"2026-07-05T00:06:33Z"},{"alias_kind":"pith_short_12","alias_value":"KZGFTM5ISINT","created_at":"2026-07-05T00:06:33Z"},{"alias_kind":"pith_short_16","alias_value":"KZGFTM5ISINTALS4","created_at":"2026-07-05T00:06:33Z"},{"alias_kind":"pith_short_8","alias_value":"KZGFTM5I","created_at":"2026-07-05T00:06:33Z"}],"graph_snapshots":[{"event_id":"sha256:14e36efca749ae01461572bc04b4317a51145669d6434e7a6d797cfe656ebd1a","target":"graph","created_at":"2026-07-05T00:06:33Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/1901.02902/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We compute and compare the decay lengths of several correlation functions and effective coupling constants in the many-body localized (MBL) phase. To this end, we consider the distribution of the logarithms of these couplings and correlators: in each case the log-coupling follows a normal distribution with mean and variance that grow linearly with separation. Thus, a localization length is asymptotically sharply defined for each of these quantities. These localization lengths differ numerically from one another, but all of them remain short up to the numerically observed MBL transition, indica","authors_text":"Abhishek Raj, David Pekker, Sarang Gopalakrishnan, Vadim Oganesyan, Vipin Kerala Varma","cross_cats":["cond-mat.dis-nn","quant-ph"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2019-01-09T19:00:37Z","title":"Length scales in the many-body localized phase and their spectral signatures"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1901.02902","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:bc424c04d0e4b60e3139848c70a0b9edabf38b45c337cb95f660bd85a7da590d","target":"record","created_at":"2026-07-05T00:06:33Z","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":"7d8ae41129edcd457d050a243a8c20d42e2fe7f4bc8778a418ee9bf73adf4b60","cross_cats_sorted":["cond-mat.dis-nn","quant-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2019-01-09T19:00:37Z","title_canon_sha256":"6a8d1d7897001c85c4a98c7f6c48c7cf6d1c41aeaedb5d5e36cb6a3bf6b3587c"},"schema_version":"1.0","source":{"id":"1901.02902","kind":"arxiv","version":1}},"canonical_sha256":"564c59b3a8921b302e5c895179e142e487ba3932714f56a2c5313008f03a06de","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"564c59b3a8921b302e5c895179e142e487ba3932714f56a2c5313008f03a06de","first_computed_at":"2026-07-05T00:06:33.563782Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T00:06:33.563782Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"AoN8RhXp1jPImaVGXYTyzoNmKlSbygGJvIGu+Yxn8jrIwCLiMcVl82l+uBiPQISvc1YXv+le4tq3sqpnGZU9Dg==","signature_status":"signed_v1","signed_at":"2026-07-05T00:06:33.564324Z","signed_message":"canonical_sha256_bytes"},"source_id":"1901.02902","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:bc424c04d0e4b60e3139848c70a0b9edabf38b45c337cb95f660bd85a7da590d","sha256:14e36efca749ae01461572bc04b4317a51145669d6434e7a6d797cfe656ebd1a"],"state_sha256":"120b5e7f16acdc793f983ea45d78553cb9b1e361107178513b0bce4207fee0c8"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"EfJSCbneI2DUGD+b6i5EWtLKOIcrD6hVkaTim+p3DNzpNAYlgnfMGzegJNfxBKwkali7wfIIlaQTYPqHuhDMAw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-15T13:31:02.694814Z","bundle_sha256":"dbfe75b53e96f5639b95feb2d3061a593f58f3ab5cc527dfe289a7394166bc87"}}