{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2009:RFYOOQK52H5TUO4BDKKWSSGZNY","short_pith_number":"pith:RFYOOQK5","canonical_record":{"source":{"id":"0906.1418","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.CD","submitted_at":"2009-06-08T06:34:45Z","cross_cats_sorted":["math.DS"],"title_canon_sha256":"3b89aa3ba9770d13e11ba7179d7b83113bee9d257882f88a8c55114a2bb1633d","abstract_canon_sha256":"f7bc2ccd31ba0a12365356dc18c6d873c68d345377039436f06e06bce1ff4cfd"},"schema_version":"1.0"},"canonical_sha256":"8970e7415dd1fb3a3b811a956948d96e229e83394e0e981b8f788675021607e7","source":{"kind":"arxiv","id":"0906.1418","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0906.1418","created_at":"2026-05-18T02:13:28Z"},{"alias_kind":"arxiv_version","alias_value":"0906.1418v1","created_at":"2026-05-18T02:13:28Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0906.1418","created_at":"2026-05-18T02:13:28Z"},{"alias_kind":"pith_short_12","alias_value":"RFYOOQK52H5T","created_at":"2026-05-18T12:26:01Z"},{"alias_kind":"pith_short_16","alias_value":"RFYOOQK52H5TUO4B","created_at":"2026-05-18T12:26:01Z"},{"alias_kind":"pith_short_8","alias_value":"RFYOOQK5","created_at":"2026-05-18T12:26:01Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2009:RFYOOQK52H5TUO4BDKKWSSGZNY","target":"record","payload":{"canonical_record":{"source":{"id":"0906.1418","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.CD","submitted_at":"2009-06-08T06:34:45Z","cross_cats_sorted":["math.DS"],"title_canon_sha256":"3b89aa3ba9770d13e11ba7179d7b83113bee9d257882f88a8c55114a2bb1633d","abstract_canon_sha256":"f7bc2ccd31ba0a12365356dc18c6d873c68d345377039436f06e06bce1ff4cfd"},"schema_version":"1.0"},"canonical_sha256":"8970e7415dd1fb3a3b811a956948d96e229e83394e0e981b8f788675021607e7","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:13:28.260608Z","signature_b64":"rGa24w4FW99tLAyWDS7KSwX/hw/6Wo8FNV34OLZUTCvBGvnHffMwlOVFY/cdoOLGO90FHRJwbsZU0aU64+KnDQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"8970e7415dd1fb3a3b811a956948d96e229e83394e0e981b8f788675021607e7","last_reissued_at":"2026-05-18T02:13:28.260050Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:13:28.260050Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"0906.1418","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":"2026-05-18T02:13:28Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"YYzN+1p5OaIkjJKnBekOVTKlYTjyCsGS5CvyDv98IElHNk//pUqMUtSehv5bE4G4MWvas93XykxTOMrT3jwbAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-30T14:43:00.115018Z"},"content_sha256":"257a6d9439f2b5b46c7e03daf54b9b57bb249a86df1a947c20f90795acf9f1ec","schema_version":"1.0","event_id":"sha256:257a6d9439f2b5b46c7e03daf54b9b57bb249a86df1a947c20f90795acf9f1ec"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2009:RFYOOQK52H5TUO4BDKKWSSGZNY","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"On the Implementation of the 0-1 Test for Chaos","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.DS"],"primary_cat":"nlin.CD","authors_text":"Georg A. Gottwald, Ian Melbourne","submitted_at":"2009-06-08T06:34:45Z","abstract_excerpt":"In this paper we address practical aspects of the implementation of the 0-1 test for chaos in deterministic systems. In addition, we present a new formulation of the test which significantly increases its sensitivity. The test can be viewed as a method to distill a binary quantity from the power spectrum. The implementation is guided by recent results from the theoretical justification of the test as well as by exploring better statistical methods to determine the binary quantities. We give several examples to illustrate the improvement."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0906.1418","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":""},"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":"2026-05-18T02:13:28Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"LiRNsdhg7XldsqmKRNjYDO/XNIxAJ3lhy0XeI+Kh7zDNN5ZD+LRtMcPEKjQ0owc9BcvB5nxDXxLcPz16qkgFBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-30T14:43:00.115434Z"},"content_sha256":"af53a8c2b6a012af66f5f8edd329dae3578406e0cccd20b130fec45dd7c2c00e","schema_version":"1.0","event_id":"sha256:af53a8c2b6a012af66f5f8edd329dae3578406e0cccd20b130fec45dd7c2c00e"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/RFYOOQK52H5TUO4BDKKWSSGZNY/bundle.json","state_url":"https://pith.science/pith/RFYOOQK52H5TUO4BDKKWSSGZNY/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/RFYOOQK52H5TUO4BDKKWSSGZNY/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":"2026-05-30T14:43:00Z","links":{"resolver":"https://pith.science/pith/RFYOOQK52H5TUO4BDKKWSSGZNY","bundle":"https://pith.science/pith/RFYOOQK52H5TUO4BDKKWSSGZNY/bundle.json","state":"https://pith.science/pith/RFYOOQK52H5TUO4BDKKWSSGZNY/state.json","well_known_bundle":"https://pith.science/.well-known/pith/RFYOOQK52H5TUO4BDKKWSSGZNY/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2009:RFYOOQK52H5TUO4BDKKWSSGZNY","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":"f7bc2ccd31ba0a12365356dc18c6d873c68d345377039436f06e06bce1ff4cfd","cross_cats_sorted":["math.DS"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.CD","submitted_at":"2009-06-08T06:34:45Z","title_canon_sha256":"3b89aa3ba9770d13e11ba7179d7b83113bee9d257882f88a8c55114a2bb1633d"},"schema_version":"1.0","source":{"id":"0906.1418","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0906.1418","created_at":"2026-05-18T02:13:28Z"},{"alias_kind":"arxiv_version","alias_value":"0906.1418v1","created_at":"2026-05-18T02:13:28Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0906.1418","created_at":"2026-05-18T02:13:28Z"},{"alias_kind":"pith_short_12","alias_value":"RFYOOQK52H5T","created_at":"2026-05-18T12:26:01Z"},{"alias_kind":"pith_short_16","alias_value":"RFYOOQK52H5TUO4B","created_at":"2026-05-18T12:26:01Z"},{"alias_kind":"pith_short_8","alias_value":"RFYOOQK5","created_at":"2026-05-18T12:26:01Z"}],"graph_snapshots":[{"event_id":"sha256:af53a8c2b6a012af66f5f8edd329dae3578406e0cccd20b130fec45dd7c2c00e","target":"graph","created_at":"2026-05-18T02:13:28Z","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":"In this paper we address practical aspects of the implementation of the 0-1 test for chaos in deterministic systems. In addition, we present a new formulation of the test which significantly increases its sensitivity. The test can be viewed as a method to distill a binary quantity from the power spectrum. The implementation is guided by recent results from the theoretical justification of the test as well as by exploring better statistical methods to determine the binary quantities. We give several examples to illustrate the improvement.","authors_text":"Georg A. Gottwald, Ian Melbourne","cross_cats":["math.DS"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.CD","submitted_at":"2009-06-08T06:34:45Z","title":"On the Implementation of the 0-1 Test for Chaos"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0906.1418","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":"sha256:257a6d9439f2b5b46c7e03daf54b9b57bb249a86df1a947c20f90795acf9f1ec","target":"record","created_at":"2026-05-18T02:13:28Z","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":"f7bc2ccd31ba0a12365356dc18c6d873c68d345377039436f06e06bce1ff4cfd","cross_cats_sorted":["math.DS"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.CD","submitted_at":"2009-06-08T06:34:45Z","title_canon_sha256":"3b89aa3ba9770d13e11ba7179d7b83113bee9d257882f88a8c55114a2bb1633d"},"schema_version":"1.0","source":{"id":"0906.1418","kind":"arxiv","version":1}},"canonical_sha256":"8970e7415dd1fb3a3b811a956948d96e229e83394e0e981b8f788675021607e7","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"8970e7415dd1fb3a3b811a956948d96e229e83394e0e981b8f788675021607e7","first_computed_at":"2026-05-18T02:13:28.260050Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:13:28.260050Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"rGa24w4FW99tLAyWDS7KSwX/hw/6Wo8FNV34OLZUTCvBGvnHffMwlOVFY/cdoOLGO90FHRJwbsZU0aU64+KnDQ==","signature_status":"signed_v1","signed_at":"2026-05-18T02:13:28.260608Z","signed_message":"canonical_sha256_bytes"},"source_id":"0906.1418","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:257a6d9439f2b5b46c7e03daf54b9b57bb249a86df1a947c20f90795acf9f1ec","sha256:af53a8c2b6a012af66f5f8edd329dae3578406e0cccd20b130fec45dd7c2c00e"],"state_sha256":"6f864e198042196da8bdee3ae7714b361fe0ada3807a3c620e88c68407270988"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"/wIXnGiVMuBtAa4hOch7YeaLibhnugNX9vtDwyNutEcGLTlv/Elit+CgaCqmCvLsOpKUrtFtuLr2ShPtgI65Cg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-30T14:43:00.117807Z","bundle_sha256":"600e860d0a0630402924f9708ca38a49fafec5b816592a307bf3bbbb0ea8bd0c"}}