{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:4K7V6KHM3N2F42VLNK4NLK6MOH","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":"a0a1b5888ab8c93dd25fbc6b4a02b2a1d7492dc4bcdc2e28088e0fb2c0ac3499","cross_cats_sorted":["cond-mat.stat-mech","cond-mat.str-el"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.dis-nn","submitted_at":"2016-08-11T19:59:12Z","title_canon_sha256":"98a047e62af98d4984057afdf4d15a78f8b04dc3726cf367d44781b60a7e8693"},"schema_version":"1.0","source":{"id":"1608.03586","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1608.03586","created_at":"2026-05-18T00:50:47Z"},{"alias_kind":"arxiv_version","alias_value":"1608.03586v2","created_at":"2026-05-18T00:50:47Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1608.03586","created_at":"2026-05-18T00:50:47Z"},{"alias_kind":"pith_short_12","alias_value":"4K7V6KHM3N2F","created_at":"2026-05-18T12:29:58Z"},{"alias_kind":"pith_short_16","alias_value":"4K7V6KHM3N2F42VL","created_at":"2026-05-18T12:29:58Z"},{"alias_kind":"pith_short_8","alias_value":"4K7V6KHM","created_at":"2026-05-18T12:29:58Z"}],"graph_snapshots":[{"event_id":"sha256:bc6ca214395bcec97514f0e839f25aa44ff9f2e950216a4719c4c9c457102407","target":"graph","created_at":"2026-05-18T00:50:47Z","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 out-of-time-ordered (OTO) correlation is a key quantity for quantifying quantum chaoticity and has been recently used in the investigation of quantum holography. Here we use it to study and characterize many-body localization (MBL). We find that a long-time logarithmic variation of the OTO correlation occurs in the MBL phase but is absent in the Anderson localized and ergodic phases. We extract a localization length in the MBL phase, which depends logarithmically on interaction and diverges at a critical interaction. Furthermore, the infinite-time `thermal' fluctuation of the OTO correlati","authors_text":"Rong-Qiang He, Zhong-Yi Lu","cross_cats":["cond-mat.stat-mech","cond-mat.str-el"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.dis-nn","submitted_at":"2016-08-11T19:59:12Z","title":"Characterizing Many-Body Localization by Out-of-Time-Ordered Correlation"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1608.03586","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:e3975044a23714ea04c8a467386e89fbd1ec8b23e1f1526e83398b89436c6fe1","target":"record","created_at":"2026-05-18T00:50:47Z","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":"a0a1b5888ab8c93dd25fbc6b4a02b2a1d7492dc4bcdc2e28088e0fb2c0ac3499","cross_cats_sorted":["cond-mat.stat-mech","cond-mat.str-el"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.dis-nn","submitted_at":"2016-08-11T19:59:12Z","title_canon_sha256":"98a047e62af98d4984057afdf4d15a78f8b04dc3726cf367d44781b60a7e8693"},"schema_version":"1.0","source":{"id":"1608.03586","kind":"arxiv","version":2}},"canonical_sha256":"e2bf5f28ecdb745e6aab6ab8d5abcc71c5d318f497f5cda1b628ceaa69134833","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"e2bf5f28ecdb745e6aab6ab8d5abcc71c5d318f497f5cda1b628ceaa69134833","first_computed_at":"2026-05-18T00:50:47.348141Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:50:47.348141Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"HrsvHwQdz6bw+siEalAN9EwU0BGUo6opi8W3Axqdjjtw/uQAVmNUSW5cR75fAXzO1swwih0v+7yG6G1mfrkcCA==","signature_status":"signed_v1","signed_at":"2026-05-18T00:50:47.348796Z","signed_message":"canonical_sha256_bytes"},"source_id":"1608.03586","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:e3975044a23714ea04c8a467386e89fbd1ec8b23e1f1526e83398b89436c6fe1","sha256:bc6ca214395bcec97514f0e839f25aa44ff9f2e950216a4719c4c9c457102407"],"state_sha256":"b925e9fa9871dca8eba041a4ae507babd7300469cb9051552685e348076a13a5"}