{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2011:B7ZSVJXX7UWQNIMLGTCYTJSNO6","short_pith_number":"pith:B7ZSVJXX","canonical_record":{"source":{"id":"1103.4034","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.CD","submitted_at":"2011-03-21T14:30:07Z","cross_cats_sorted":["cond-mat.dis-nn","cond-mat.stat-mech"],"title_canon_sha256":"0c9647f8c7e798e39d5e511068f6be7a324b0eb5a3a0ed259019099fcd2184d2","abstract_canon_sha256":"5541ba5d6e8af98c61096d5ce9c4e852fc7fab3bdd489832ef35bc4e6b1efb65"},"schema_version":"1.0"},"canonical_sha256":"0ff32aa6f7fd2d06a18b34c589a64d7780ebea57330653a5e4f0cec580b5957f","source":{"kind":"arxiv","id":"1103.4034","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1103.4034","created_at":"2026-05-18T04:18:15Z"},{"alias_kind":"arxiv_version","alias_value":"1103.4034v2","created_at":"2026-05-18T04:18:15Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1103.4034","created_at":"2026-05-18T04:18:15Z"},{"alias_kind":"pith_short_12","alias_value":"B7ZSVJXX7UWQ","created_at":"2026-05-18T12:26:24Z"},{"alias_kind":"pith_short_16","alias_value":"B7ZSVJXX7UWQNIML","created_at":"2026-05-18T12:26:24Z"},{"alias_kind":"pith_short_8","alias_value":"B7ZSVJXX","created_at":"2026-05-18T12:26:24Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2011:B7ZSVJXX7UWQNIMLGTCYTJSNO6","target":"record","payload":{"canonical_record":{"source":{"id":"1103.4034","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.CD","submitted_at":"2011-03-21T14:30:07Z","cross_cats_sorted":["cond-mat.dis-nn","cond-mat.stat-mech"],"title_canon_sha256":"0c9647f8c7e798e39d5e511068f6be7a324b0eb5a3a0ed259019099fcd2184d2","abstract_canon_sha256":"5541ba5d6e8af98c61096d5ce9c4e852fc7fab3bdd489832ef35bc4e6b1efb65"},"schema_version":"1.0"},"canonical_sha256":"0ff32aa6f7fd2d06a18b34c589a64d7780ebea57330653a5e4f0cec580b5957f","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:18:15.108205Z","signature_b64":"vmoYKX5+0HNn3W0aXwvHyNevC3gucJzJHzWGwK1+PatgPQ4M/Q11sk3bFoVos0i/piIpTykoxnbjdLEuRBbcAQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"0ff32aa6f7fd2d06a18b34c589a64d7780ebea57330653a5e4f0cec580b5957f","last_reissued_at":"2026-05-18T04:18:15.107736Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:18:15.107736Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1103.4034","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":"2026-05-18T04:18:15Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"olwA6slOEuzLi77xFBx3OYcd00oXFcwUDZ8v6OSnUaia/UySRo5TxrBMpiS6PPw95qlF5LIXx1LKXoyBknjDAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-02T10:28:42.094779Z"},"content_sha256":"5a2d33878b68cb3925459b96bc8a0ca3671a02d65106543bb241aeb403105dec","schema_version":"1.0","event_id":"sha256:5a2d33878b68cb3925459b96bc8a0ca3671a02d65106543bb241aeb403105dec"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2011:B7ZSVJXX7UWQNIMLGTCYTJSNO6","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Nonlinear waves in disordered chains: probing the limits of chaos and spreading","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.dis-nn","cond-mat.stat-mech"],"primary_cat":"nlin.CD","authors_text":"Ch. Skokos, D.O. Krimer, J.D. Bodyfelt, S. Flach, T.V. Laptyeva","submitted_at":"2011-03-21T14:30:07Z","abstract_excerpt":"We probe the limits of nonlinear wave spreading in disordered chains which are known to localize linear waves. We particularly extend recent studies on the regimes of strong and weak chaos during subdiffusive spreading of wave packets [EPL {\\bf 91}, 30001 (2010)] and consider strong disorder, which favors Anderson localization. We probe the limit of infinite disorder strength and study Fr\\\"ohlich-Spencer-Wayne models. We find that the assumption of chaotic wave packet dynamics and its impact on spreading is in accord with all studied cases. Spreading appears to be asymptotic, without any obser"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1103.4034","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":"2026-05-18T04:18:15Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"m4FMVWvaHgAjHBPioRSZC5T+UK1Nf+keFgkVRvYuAaeQJaeSUkLFgeZtgyfP+o5euxsH5uzhdTWKDjej/0pADg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-02T10:28:42.095326Z"},"content_sha256":"b1839d721ed8f2dde0c01b8b6582608ff9d92b0a0fbc0cc0a5290d355179dda0","schema_version":"1.0","event_id":"sha256:b1839d721ed8f2dde0c01b8b6582608ff9d92b0a0fbc0cc0a5290d355179dda0"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/B7ZSVJXX7UWQNIMLGTCYTJSNO6/bundle.json","state_url":"https://pith.science/pith/B7ZSVJXX7UWQNIMLGTCYTJSNO6/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/B7ZSVJXX7UWQNIMLGTCYTJSNO6/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":"2026-06-02T10:28:42Z","links":{"resolver":"https://pith.science/pith/B7ZSVJXX7UWQNIMLGTCYTJSNO6","bundle":"https://pith.science/pith/B7ZSVJXX7UWQNIMLGTCYTJSNO6/bundle.json","state":"https://pith.science/pith/B7ZSVJXX7UWQNIMLGTCYTJSNO6/state.json","well_known_bundle":"https://pith.science/.well-known/pith/B7ZSVJXX7UWQNIMLGTCYTJSNO6/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:B7ZSVJXX7UWQNIMLGTCYTJSNO6","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":"5541ba5d6e8af98c61096d5ce9c4e852fc7fab3bdd489832ef35bc4e6b1efb65","cross_cats_sorted":["cond-mat.dis-nn","cond-mat.stat-mech"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.CD","submitted_at":"2011-03-21T14:30:07Z","title_canon_sha256":"0c9647f8c7e798e39d5e511068f6be7a324b0eb5a3a0ed259019099fcd2184d2"},"schema_version":"1.0","source":{"id":"1103.4034","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1103.4034","created_at":"2026-05-18T04:18:15Z"},{"alias_kind":"arxiv_version","alias_value":"1103.4034v2","created_at":"2026-05-18T04:18:15Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1103.4034","created_at":"2026-05-18T04:18:15Z"},{"alias_kind":"pith_short_12","alias_value":"B7ZSVJXX7UWQ","created_at":"2026-05-18T12:26:24Z"},{"alias_kind":"pith_short_16","alias_value":"B7ZSVJXX7UWQNIML","created_at":"2026-05-18T12:26:24Z"},{"alias_kind":"pith_short_8","alias_value":"B7ZSVJXX","created_at":"2026-05-18T12:26:24Z"}],"graph_snapshots":[{"event_id":"sha256:b1839d721ed8f2dde0c01b8b6582608ff9d92b0a0fbc0cc0a5290d355179dda0","target":"graph","created_at":"2026-05-18T04:18:15Z","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 probe the limits of nonlinear wave spreading in disordered chains which are known to localize linear waves. We particularly extend recent studies on the regimes of strong and weak chaos during subdiffusive spreading of wave packets [EPL {\\bf 91}, 30001 (2010)] and consider strong disorder, which favors Anderson localization. We probe the limit of infinite disorder strength and study Fr\\\"ohlich-Spencer-Wayne models. We find that the assumption of chaotic wave packet dynamics and its impact on spreading is in accord with all studied cases. Spreading appears to be asymptotic, without any obser","authors_text":"Ch. Skokos, D.O. Krimer, J.D. Bodyfelt, S. Flach, T.V. Laptyeva","cross_cats":["cond-mat.dis-nn","cond-mat.stat-mech"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.CD","submitted_at":"2011-03-21T14:30:07Z","title":"Nonlinear waves in disordered chains: probing the limits of chaos and spreading"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1103.4034","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":"sha256:5a2d33878b68cb3925459b96bc8a0ca3671a02d65106543bb241aeb403105dec","target":"record","created_at":"2026-05-18T04:18:15Z","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":"5541ba5d6e8af98c61096d5ce9c4e852fc7fab3bdd489832ef35bc4e6b1efb65","cross_cats_sorted":["cond-mat.dis-nn","cond-mat.stat-mech"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.CD","submitted_at":"2011-03-21T14:30:07Z","title_canon_sha256":"0c9647f8c7e798e39d5e511068f6be7a324b0eb5a3a0ed259019099fcd2184d2"},"schema_version":"1.0","source":{"id":"1103.4034","kind":"arxiv","version":2}},"canonical_sha256":"0ff32aa6f7fd2d06a18b34c589a64d7780ebea57330653a5e4f0cec580b5957f","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"0ff32aa6f7fd2d06a18b34c589a64d7780ebea57330653a5e4f0cec580b5957f","first_computed_at":"2026-05-18T04:18:15.107736Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:18:15.107736Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"vmoYKX5+0HNn3W0aXwvHyNevC3gucJzJHzWGwK1+PatgPQ4M/Q11sk3bFoVos0i/piIpTykoxnbjdLEuRBbcAQ==","signature_status":"signed_v1","signed_at":"2026-05-18T04:18:15.108205Z","signed_message":"canonical_sha256_bytes"},"source_id":"1103.4034","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:5a2d33878b68cb3925459b96bc8a0ca3671a02d65106543bb241aeb403105dec","sha256:b1839d721ed8f2dde0c01b8b6582608ff9d92b0a0fbc0cc0a5290d355179dda0"],"state_sha256":"2aaf289e5ad0706ff15736129b1d28b512f3c3052573570d9615ae62c6f4e02a"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"khafIw2ws03bJCFYkaJzvcSjVVJdxjjbDLhpgMdgynhgOLm/kP1CPXFpv+b/QVsXE0kvyE+G9YpTzgT/zjnRDA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-02T10:28:42.097899Z","bundle_sha256":"6ff71554f30fce58f5b5b1d546ff8522c0e0add4339558d2fd39913b4f95e482"}}