{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2018:WKHXGQ4B2JUP5JPDVB4B62JEON","short_pith_number":"pith:WKHXGQ4B","canonical_record":{"source":{"id":"1807.06039","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2018-07-16T18:05:05Z","cross_cats_sorted":["cond-mat.dis-nn","cond-mat.mes-hall","cond-mat.stat-mech"],"title_canon_sha256":"85e18a46f843e40898c6532278169e84eea78751b1fc0b0175c40c9b77915592","abstract_canon_sha256":"2e37bd7cd0e665e22d8de2ed31970abf7179be0ec3a0491cb68988e03c2d1737"},"schema_version":"1.0"},"canonical_sha256":"b28f734381d268fea5e3a8781f6924736e15742977a7377709476fa4cf9c8b33","source":{"kind":"arxiv","id":"1807.06039","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1807.06039","created_at":"2026-05-17T23:55:44Z"},{"alias_kind":"arxiv_version","alias_value":"1807.06039v2","created_at":"2026-05-17T23:55:44Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1807.06039","created_at":"2026-05-17T23:55:44Z"},{"alias_kind":"pith_short_12","alias_value":"WKHXGQ4B2JUP","created_at":"2026-05-18T12:32:59Z"},{"alias_kind":"pith_short_16","alias_value":"WKHXGQ4B2JUP5JPD","created_at":"2026-05-18T12:32:59Z"},{"alias_kind":"pith_short_8","alias_value":"WKHXGQ4B","created_at":"2026-05-18T12:32:59Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2018:WKHXGQ4B2JUP5JPDVB4B62JEON","target":"record","payload":{"canonical_record":{"source":{"id":"1807.06039","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2018-07-16T18:05:05Z","cross_cats_sorted":["cond-mat.dis-nn","cond-mat.mes-hall","cond-mat.stat-mech"],"title_canon_sha256":"85e18a46f843e40898c6532278169e84eea78751b1fc0b0175c40c9b77915592","abstract_canon_sha256":"2e37bd7cd0e665e22d8de2ed31970abf7179be0ec3a0491cb68988e03c2d1737"},"schema_version":"1.0"},"canonical_sha256":"b28f734381d268fea5e3a8781f6924736e15742977a7377709476fa4cf9c8b33","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:55:44.253139Z","signature_b64":"/h5Xr0LR7QnLLnpiqL16zVBHS2ThQWm4jHilCH6cbXMTg5TrrjRqc0VAk8J64QCgB+dZu2+vu3AnamxQXsHJAA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"b28f734381d268fea5e3a8781f6924736e15742977a7377709476fa4cf9c8b33","last_reissued_at":"2026-05-17T23:55:44.252367Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:55:44.252367Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1807.06039","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":"2026-05-17T23:55:44Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"xklguS2cdQUQfB+bOibQsLn8WSwqEIxy6L7grHutvpCPazjV3IBfeASn+ymPspXUn3CkZbtS3wHzquMXE3y9AA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-28T15:07:45.423277Z"},"content_sha256":"ef17a019ae723624bf568126e1e345290c6149a6152a354cb865a388567503c1","schema_version":"1.0","event_id":"sha256:ef17a019ae723624bf568126e1e345290c6149a6152a354cb865a388567503c1"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2018:WKHXGQ4B2JUP5JPDVB4B62JEON","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Slow growth of out-of-time-order correlators and entanglement in integrable disordered systems","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.dis-nn","cond-mat.mes-hall","cond-mat.stat-mech"],"primary_cat":"cond-mat.str-el","authors_text":"Andreas Nunnenkamp, Johannes Knolle, Max McGinley","submitted_at":"2018-07-16T18:05:05Z","abstract_excerpt":"We investigate how information spreads in three paradigmatic one-dimensional models with spatial disorder. The models we consider are unitarily related to a system of free fermions and are thus manifestly integrable. We demonstrate that out-of-time-order correlators can spread slowly beyond the single-particle localization length, despite the absence of many-body interactions. This phenomenon is shown to be due to the nonlocal relationship between elementary excitations and the physical degrees of freedom. We argue that this non-locality becomes relevant for time-dependent correlation function"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1807.06039","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":"2026-05-17T23:55:44Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"B9YHZkxn0PvQNZqaJhvlW01dDyXbVCvernPxPM11yW7T0D3RYKLw0EOC8a6ENJz8+g2242slume/ZJuQjvs8BA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-28T15:07:45.423651Z"},"content_sha256":"5f428e4b8521f552b9aeb9b7e398b3d765077ac8c9ddedc360abf62a030554a3","schema_version":"1.0","event_id":"sha256:5f428e4b8521f552b9aeb9b7e398b3d765077ac8c9ddedc360abf62a030554a3"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/WKHXGQ4B2JUP5JPDVB4B62JEON/bundle.json","state_url":"https://pith.science/pith/WKHXGQ4B2JUP5JPDVB4B62JEON/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/WKHXGQ4B2JUP5JPDVB4B62JEON/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":"2026-05-28T15:07:45Z","links":{"resolver":"https://pith.science/pith/WKHXGQ4B2JUP5JPDVB4B62JEON","bundle":"https://pith.science/pith/WKHXGQ4B2JUP5JPDVB4B62JEON/bundle.json","state":"https://pith.science/pith/WKHXGQ4B2JUP5JPDVB4B62JEON/state.json","well_known_bundle":"https://pith.science/.well-known/pith/WKHXGQ4B2JUP5JPDVB4B62JEON/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:WKHXGQ4B2JUP5JPDVB4B62JEON","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":"2e37bd7cd0e665e22d8de2ed31970abf7179be0ec3a0491cb68988e03c2d1737","cross_cats_sorted":["cond-mat.dis-nn","cond-mat.mes-hall","cond-mat.stat-mech"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2018-07-16T18:05:05Z","title_canon_sha256":"85e18a46f843e40898c6532278169e84eea78751b1fc0b0175c40c9b77915592"},"schema_version":"1.0","source":{"id":"1807.06039","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1807.06039","created_at":"2026-05-17T23:55:44Z"},{"alias_kind":"arxiv_version","alias_value":"1807.06039v2","created_at":"2026-05-17T23:55:44Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1807.06039","created_at":"2026-05-17T23:55:44Z"},{"alias_kind":"pith_short_12","alias_value":"WKHXGQ4B2JUP","created_at":"2026-05-18T12:32:59Z"},{"alias_kind":"pith_short_16","alias_value":"WKHXGQ4B2JUP5JPD","created_at":"2026-05-18T12:32:59Z"},{"alias_kind":"pith_short_8","alias_value":"WKHXGQ4B","created_at":"2026-05-18T12:32:59Z"}],"graph_snapshots":[{"event_id":"sha256:5f428e4b8521f552b9aeb9b7e398b3d765077ac8c9ddedc360abf62a030554a3","target":"graph","created_at":"2026-05-17T23:55:44Z","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 investigate how information spreads in three paradigmatic one-dimensional models with spatial disorder. The models we consider are unitarily related to a system of free fermions and are thus manifestly integrable. We demonstrate that out-of-time-order correlators can spread slowly beyond the single-particle localization length, despite the absence of many-body interactions. This phenomenon is shown to be due to the nonlocal relationship between elementary excitations and the physical degrees of freedom. We argue that this non-locality becomes relevant for time-dependent correlation function","authors_text":"Andreas Nunnenkamp, Johannes Knolle, Max McGinley","cross_cats":["cond-mat.dis-nn","cond-mat.mes-hall","cond-mat.stat-mech"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2018-07-16T18:05:05Z","title":"Slow growth of out-of-time-order correlators and entanglement in integrable disordered systems"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1807.06039","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:ef17a019ae723624bf568126e1e345290c6149a6152a354cb865a388567503c1","target":"record","created_at":"2026-05-17T23:55:44Z","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":"2e37bd7cd0e665e22d8de2ed31970abf7179be0ec3a0491cb68988e03c2d1737","cross_cats_sorted":["cond-mat.dis-nn","cond-mat.mes-hall","cond-mat.stat-mech"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2018-07-16T18:05:05Z","title_canon_sha256":"85e18a46f843e40898c6532278169e84eea78751b1fc0b0175c40c9b77915592"},"schema_version":"1.0","source":{"id":"1807.06039","kind":"arxiv","version":2}},"canonical_sha256":"b28f734381d268fea5e3a8781f6924736e15742977a7377709476fa4cf9c8b33","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"b28f734381d268fea5e3a8781f6924736e15742977a7377709476fa4cf9c8b33","first_computed_at":"2026-05-17T23:55:44.252367Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:55:44.252367Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"/h5Xr0LR7QnLLnpiqL16zVBHS2ThQWm4jHilCH6cbXMTg5TrrjRqc0VAk8J64QCgB+dZu2+vu3AnamxQXsHJAA==","signature_status":"signed_v1","signed_at":"2026-05-17T23:55:44.253139Z","signed_message":"canonical_sha256_bytes"},"source_id":"1807.06039","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:ef17a019ae723624bf568126e1e345290c6149a6152a354cb865a388567503c1","sha256:5f428e4b8521f552b9aeb9b7e398b3d765077ac8c9ddedc360abf62a030554a3"],"state_sha256":"0cfab7fe7883e09fb6eb507e1ceac2a93698f11e7aa7e52ce518abc3b12a7012"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"SmOD3asmufAazJt32yizwjovlqZMSchtjYgsxTwvChw2qjnJwsG80hkzAXHV/jz8Yc/PoDWybPD+uFnkgS+YCg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-28T15:07:45.425642Z","bundle_sha256":"0a1820f840ab1e6d8dc870ef5d072e0752de432c50937c26416ab6e9f90b6add"}}