{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2016:C4QVQO5U4PFOXMDMTRHA64T7EE","short_pith_number":"pith:C4QVQO5U","canonical_record":{"source":{"id":"1605.05616","kind":"arxiv","version":4},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.CD","submitted_at":"2016-05-18T15:32:36Z","cross_cats_sorted":["cond-mat.dis-nn","physics.comp-ph"],"title_canon_sha256":"b080b1b7adf330402e50d4017d9247de26629c7aa1af636f7e3da3184af66952","abstract_canon_sha256":"79257eb5400086670cf6c722d14727eae8dae35bd46e5680fe897a10511e5d84"},"schema_version":"1.0"},"canonical_sha256":"1721583bb4e3caebb06c9c4e0f727f2114d006fae810ec295f4a9c13c9497feb","source":{"kind":"arxiv","id":"1605.05616","version":4},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1605.05616","created_at":"2026-05-18T00:45:49Z"},{"alias_kind":"arxiv_version","alias_value":"1605.05616v4","created_at":"2026-05-18T00:45:49Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1605.05616","created_at":"2026-05-18T00:45:49Z"},{"alias_kind":"pith_short_12","alias_value":"C4QVQO5U4PFO","created_at":"2026-05-18T12:30:09Z"},{"alias_kind":"pith_short_16","alias_value":"C4QVQO5U4PFOXMDM","created_at":"2026-05-18T12:30:09Z"},{"alias_kind":"pith_short_8","alias_value":"C4QVQO5U","created_at":"2026-05-18T12:30:09Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2016:C4QVQO5U4PFOXMDMTRHA64T7EE","target":"record","payload":{"canonical_record":{"source":{"id":"1605.05616","kind":"arxiv","version":4},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.CD","submitted_at":"2016-05-18T15:32:36Z","cross_cats_sorted":["cond-mat.dis-nn","physics.comp-ph"],"title_canon_sha256":"b080b1b7adf330402e50d4017d9247de26629c7aa1af636f7e3da3184af66952","abstract_canon_sha256":"79257eb5400086670cf6c722d14727eae8dae35bd46e5680fe897a10511e5d84"},"schema_version":"1.0"},"canonical_sha256":"1721583bb4e3caebb06c9c4e0f727f2114d006fae810ec295f4a9c13c9497feb","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:45:49.449919Z","signature_b64":"uCSkU5dIqNQyCEgVxmVtHptzDAwKYenx/wBbgJC0YqrDY3SJ6e4PODh8rbnokFLOpbQ5UUFHlOQL24lbXwesDw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"1721583bb4e3caebb06c9c4e0f727f2114d006fae810ec295f4a9c13c9497feb","last_reissued_at":"2026-05-18T00:45:49.449308Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:45:49.449308Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1605.05616","source_version":4,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T00:45:49Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"UYoTaht8QxvPdweT25DbY/PRTnfLog1l2R8kKlZAxNHv/qDvR9hsTyEHE6pB6+8yQkbpTNysE/Z8AS8Qz4QqDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-26T04:06:34.792644Z"},"content_sha256":"a0303ade8c288c699e5ce48c1e1f16cb939c668e967b553a4b933d26beddd4ec","schema_version":"1.0","event_id":"sha256:a0303ade8c288c699e5ce48c1e1f16cb939c668e967b553a4b933d26beddd4ec"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2016:C4QVQO5U4PFOXMDMTRHA64T7EE","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"How to test for partially predictable chaos","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.dis-nn","physics.comp-ph"],"primary_cat":"nlin.CD","authors_text":"Bulcs\\'u S\\'andor, Claudius Gros, Hendrik Wernecke","submitted_at":"2016-05-18T15:32:36Z","abstract_excerpt":"For a chaotic system pairs of initially close-by trajectories become eventually fully uncorrelated on the attracting set. This process of decorrelation may split into an initial exponential decrease, characterized by the maximal Lyapunov exponent, and a subsequent diffusive process on the chaotic attractor causing the final loss of predictability. The time scales of both processes can be either of the same or of very different orders of magnitude. In the latter case the two trajectories linger within a finite but small distance (with respect to the overall extent of the attractor) for exceedin"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1605.05616","kind":"arxiv","version":4},"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":"2026-05-18T00:45:49Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"LXPZGsfx05IuffQpSaRxPv+kYisUPMfkXT7b1f3yNf7SkIm3KiztmjKsHffjKxl/7VLUx1OMeUtf9f5JWOQaBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-26T04:06:34.793333Z"},"content_sha256":"2b8fa4850006c44b6beefc588d0cdaff55fff4cc3072601bfd7a493622667bab","schema_version":"1.0","event_id":"sha256:2b8fa4850006c44b6beefc588d0cdaff55fff4cc3072601bfd7a493622667bab"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/C4QVQO5U4PFOXMDMTRHA64T7EE/bundle.json","state_url":"https://pith.science/pith/C4QVQO5U4PFOXMDMTRHA64T7EE/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/C4QVQO5U4PFOXMDMTRHA64T7EE/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":"2026-05-26T04:06:34Z","links":{"resolver":"https://pith.science/pith/C4QVQO5U4PFOXMDMTRHA64T7EE","bundle":"https://pith.science/pith/C4QVQO5U4PFOXMDMTRHA64T7EE/bundle.json","state":"https://pith.science/pith/C4QVQO5U4PFOXMDMTRHA64T7EE/state.json","well_known_bundle":"https://pith.science/.well-known/pith/C4QVQO5U4PFOXMDMTRHA64T7EE/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:C4QVQO5U4PFOXMDMTRHA64T7EE","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":"79257eb5400086670cf6c722d14727eae8dae35bd46e5680fe897a10511e5d84","cross_cats_sorted":["cond-mat.dis-nn","physics.comp-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.CD","submitted_at":"2016-05-18T15:32:36Z","title_canon_sha256":"b080b1b7adf330402e50d4017d9247de26629c7aa1af636f7e3da3184af66952"},"schema_version":"1.0","source":{"id":"1605.05616","kind":"arxiv","version":4}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1605.05616","created_at":"2026-05-18T00:45:49Z"},{"alias_kind":"arxiv_version","alias_value":"1605.05616v4","created_at":"2026-05-18T00:45:49Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1605.05616","created_at":"2026-05-18T00:45:49Z"},{"alias_kind":"pith_short_12","alias_value":"C4QVQO5U4PFO","created_at":"2026-05-18T12:30:09Z"},{"alias_kind":"pith_short_16","alias_value":"C4QVQO5U4PFOXMDM","created_at":"2026-05-18T12:30:09Z"},{"alias_kind":"pith_short_8","alias_value":"C4QVQO5U","created_at":"2026-05-18T12:30:09Z"}],"graph_snapshots":[{"event_id":"sha256:2b8fa4850006c44b6beefc588d0cdaff55fff4cc3072601bfd7a493622667bab","target":"graph","created_at":"2026-05-18T00:45:49Z","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":"For a chaotic system pairs of initially close-by trajectories become eventually fully uncorrelated on the attracting set. This process of decorrelation may split into an initial exponential decrease, characterized by the maximal Lyapunov exponent, and a subsequent diffusive process on the chaotic attractor causing the final loss of predictability. The time scales of both processes can be either of the same or of very different orders of magnitude. In the latter case the two trajectories linger within a finite but small distance (with respect to the overall extent of the attractor) for exceedin","authors_text":"Bulcs\\'u S\\'andor, Claudius Gros, Hendrik Wernecke","cross_cats":["cond-mat.dis-nn","physics.comp-ph"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.CD","submitted_at":"2016-05-18T15:32:36Z","title":"How to test for partially predictable chaos"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1605.05616","kind":"arxiv","version":4},"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:a0303ade8c288c699e5ce48c1e1f16cb939c668e967b553a4b933d26beddd4ec","target":"record","created_at":"2026-05-18T00:45:49Z","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":"79257eb5400086670cf6c722d14727eae8dae35bd46e5680fe897a10511e5d84","cross_cats_sorted":["cond-mat.dis-nn","physics.comp-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.CD","submitted_at":"2016-05-18T15:32:36Z","title_canon_sha256":"b080b1b7adf330402e50d4017d9247de26629c7aa1af636f7e3da3184af66952"},"schema_version":"1.0","source":{"id":"1605.05616","kind":"arxiv","version":4}},"canonical_sha256":"1721583bb4e3caebb06c9c4e0f727f2114d006fae810ec295f4a9c13c9497feb","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"1721583bb4e3caebb06c9c4e0f727f2114d006fae810ec295f4a9c13c9497feb","first_computed_at":"2026-05-18T00:45:49.449308Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:45:49.449308Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"uCSkU5dIqNQyCEgVxmVtHptzDAwKYenx/wBbgJC0YqrDY3SJ6e4PODh8rbnokFLOpbQ5UUFHlOQL24lbXwesDw==","signature_status":"signed_v1","signed_at":"2026-05-18T00:45:49.449919Z","signed_message":"canonical_sha256_bytes"},"source_id":"1605.05616","source_kind":"arxiv","source_version":4}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:a0303ade8c288c699e5ce48c1e1f16cb939c668e967b553a4b933d26beddd4ec","sha256:2b8fa4850006c44b6beefc588d0cdaff55fff4cc3072601bfd7a493622667bab"],"state_sha256":"6ed3a3d377bbbc21006629545f2dc03fc137598ead6a986cd2a8ed2e37cdda6d"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"nmZzMJqjkOibwmQ7wUMI8RcJ7PNnEWPesQMh9CVmlCS8Z6riSS8MeeWtFiycquObMAddShnTRdh0mn9N0773Bg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-26T04:06:34.796764Z","bundle_sha256":"37a2df69d81654949206c8b25ad60eab7a0a76bef44ef5e54a775adb73b46cdd"}}