{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2016:J4JKWZLROV76C67OQ2VL2BOHTA","short_pith_number":"pith:J4JKWZLR","canonical_record":{"source":{"id":"1608.04416","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.CD","submitted_at":"2016-08-15T21:36:26Z","cross_cats_sorted":[],"title_canon_sha256":"cdaf85a2e19c513826824463a3585ae9c80ad93ade6939f79ddf44a2f7976c83","abstract_canon_sha256":"94fb884354380571ba77869088cb4f765080fa2471a5a12fdfd40316daa2da4b"},"schema_version":"1.0"},"canonical_sha256":"4f12ab6571757fe17bee86aabd05c7983e26fa23740ce25e7cdfd69f963e8914","source":{"kind":"arxiv","id":"1608.04416","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1608.04416","created_at":"2026-05-18T00:58:54Z"},{"alias_kind":"arxiv_version","alias_value":"1608.04416v2","created_at":"2026-05-18T00:58:54Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1608.04416","created_at":"2026-05-18T00:58:54Z"},{"alias_kind":"pith_short_12","alias_value":"J4JKWZLROV76","created_at":"2026-05-18T12:30:22Z"},{"alias_kind":"pith_short_16","alias_value":"J4JKWZLROV76C67O","created_at":"2026-05-18T12:30:22Z"},{"alias_kind":"pith_short_8","alias_value":"J4JKWZLR","created_at":"2026-05-18T12:30:22Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2016:J4JKWZLROV76C67OQ2VL2BOHTA","target":"record","payload":{"canonical_record":{"source":{"id":"1608.04416","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.CD","submitted_at":"2016-08-15T21:36:26Z","cross_cats_sorted":[],"title_canon_sha256":"cdaf85a2e19c513826824463a3585ae9c80ad93ade6939f79ddf44a2f7976c83","abstract_canon_sha256":"94fb884354380571ba77869088cb4f765080fa2471a5a12fdfd40316daa2da4b"},"schema_version":"1.0"},"canonical_sha256":"4f12ab6571757fe17bee86aabd05c7983e26fa23740ce25e7cdfd69f963e8914","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:58:54.917888Z","signature_b64":"2iq4EH66b9oGjpDGxPcDNLKZazIH5lbpk8bXie87HGlWv+/QnR2z4WV6lZEXkvD+9T7S9tfEtqLxMbhcd1rQDg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"4f12ab6571757fe17bee86aabd05c7983e26fa23740ce25e7cdfd69f963e8914","last_reissued_at":"2026-05-18T00:58:54.917172Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:58:54.917172Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1608.04416","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":"2026-05-18T00:58:54Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"qTEf0CWL0JEKJ/AmtxZjNu8ztQIULAbklAvSES3ZClzQaqwMauPTt9ySLN4zhXygSW+OV+HmyjSQ8ZfCFKlYDQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-25T22:55:09.512511Z"},"content_sha256":"3f983fb495744fcb1d7b6dc8d231c03c85ed133cd1f2815b457bcca363ef5273","schema_version":"1.0","event_id":"sha256:3f983fb495744fcb1d7b6dc8d231c03c85ed133cd1f2815b457bcca363ef5273"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2016:J4JKWZLROV76C67OQ2VL2BOHTA","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Visual Analysis of Nonlinear Dynamical Systems: Chaos, Fractals, Self-Similarity and the Limits of Prediction","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"nlin.CD","authors_text":"Geoff Boeing","submitted_at":"2016-08-15T21:36:26Z","abstract_excerpt":"Nearly all nontrivial real-world systems are nonlinear dynamical systems. Chaos describes certain nonlinear dynamical systems that have a very sensitive dependence on initial conditions. Chaotic systems are always deterministic and may be very simple, yet they produce completely unpredictable and divergent behavior. Systems of nonlinear equations are difficult to solve analytically, and scientists have relied heavily on visual and qualitative approaches to discover and analyze the dynamics of nonlinearity. Indeed, few fields have drawn as heavily from visualization methods for their seminal in"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1608.04416","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":"2026-05-18T00:58:54Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"zr6uWLyw9u9JQ24ffEoxkVsX922NJ9lpZ2xU5/XuOUZvHGKfDiRegrdC8GhB4aqDqAzyo3EPuVJlAtE9tO3YCQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-25T22:55:09.513201Z"},"content_sha256":"1f88a75666e07e24b5c1b041253ff7263e056c159f448f4a1586b2d9e82da68c","schema_version":"1.0","event_id":"sha256:1f88a75666e07e24b5c1b041253ff7263e056c159f448f4a1586b2d9e82da68c"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/J4JKWZLROV76C67OQ2VL2BOHTA/bundle.json","state_url":"https://pith.science/pith/J4JKWZLROV76C67OQ2VL2BOHTA/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/J4JKWZLROV76C67OQ2VL2BOHTA/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":"2026-05-25T22:55:09Z","links":{"resolver":"https://pith.science/pith/J4JKWZLROV76C67OQ2VL2BOHTA","bundle":"https://pith.science/pith/J4JKWZLROV76C67OQ2VL2BOHTA/bundle.json","state":"https://pith.science/pith/J4JKWZLROV76C67OQ2VL2BOHTA/state.json","well_known_bundle":"https://pith.science/.well-known/pith/J4JKWZLROV76C67OQ2VL2BOHTA/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:J4JKWZLROV76C67OQ2VL2BOHTA","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":"94fb884354380571ba77869088cb4f765080fa2471a5a12fdfd40316daa2da4b","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.CD","submitted_at":"2016-08-15T21:36:26Z","title_canon_sha256":"cdaf85a2e19c513826824463a3585ae9c80ad93ade6939f79ddf44a2f7976c83"},"schema_version":"1.0","source":{"id":"1608.04416","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1608.04416","created_at":"2026-05-18T00:58:54Z"},{"alias_kind":"arxiv_version","alias_value":"1608.04416v2","created_at":"2026-05-18T00:58:54Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1608.04416","created_at":"2026-05-18T00:58:54Z"},{"alias_kind":"pith_short_12","alias_value":"J4JKWZLROV76","created_at":"2026-05-18T12:30:22Z"},{"alias_kind":"pith_short_16","alias_value":"J4JKWZLROV76C67O","created_at":"2026-05-18T12:30:22Z"},{"alias_kind":"pith_short_8","alias_value":"J4JKWZLR","created_at":"2026-05-18T12:30:22Z"}],"graph_snapshots":[{"event_id":"sha256:1f88a75666e07e24b5c1b041253ff7263e056c159f448f4a1586b2d9e82da68c","target":"graph","created_at":"2026-05-18T00:58:54Z","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":"Nearly all nontrivial real-world systems are nonlinear dynamical systems. Chaos describes certain nonlinear dynamical systems that have a very sensitive dependence on initial conditions. Chaotic systems are always deterministic and may be very simple, yet they produce completely unpredictable and divergent behavior. Systems of nonlinear equations are difficult to solve analytically, and scientists have relied heavily on visual and qualitative approaches to discover and analyze the dynamics of nonlinearity. Indeed, few fields have drawn as heavily from visualization methods for their seminal in","authors_text":"Geoff Boeing","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.CD","submitted_at":"2016-08-15T21:36:26Z","title":"Visual Analysis of Nonlinear Dynamical Systems: Chaos, Fractals, Self-Similarity and the Limits of Prediction"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1608.04416","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":"sha256:3f983fb495744fcb1d7b6dc8d231c03c85ed133cd1f2815b457bcca363ef5273","target":"record","created_at":"2026-05-18T00:58:54Z","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":"94fb884354380571ba77869088cb4f765080fa2471a5a12fdfd40316daa2da4b","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.CD","submitted_at":"2016-08-15T21:36:26Z","title_canon_sha256":"cdaf85a2e19c513826824463a3585ae9c80ad93ade6939f79ddf44a2f7976c83"},"schema_version":"1.0","source":{"id":"1608.04416","kind":"arxiv","version":2}},"canonical_sha256":"4f12ab6571757fe17bee86aabd05c7983e26fa23740ce25e7cdfd69f963e8914","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"4f12ab6571757fe17bee86aabd05c7983e26fa23740ce25e7cdfd69f963e8914","first_computed_at":"2026-05-18T00:58:54.917172Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:58:54.917172Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"2iq4EH66b9oGjpDGxPcDNLKZazIH5lbpk8bXie87HGlWv+/QnR2z4WV6lZEXkvD+9T7S9tfEtqLxMbhcd1rQDg==","signature_status":"signed_v1","signed_at":"2026-05-18T00:58:54.917888Z","signed_message":"canonical_sha256_bytes"},"source_id":"1608.04416","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:3f983fb495744fcb1d7b6dc8d231c03c85ed133cd1f2815b457bcca363ef5273","sha256:1f88a75666e07e24b5c1b041253ff7263e056c159f448f4a1586b2d9e82da68c"],"state_sha256":"8926ddac9be6243507522face850266a88f053b0b6f35aa3ccfb0a55ec886fc2"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"6NtTv44rMh3TrwPQEPtScXUXVF88dlprafHA2XGcfZAUkOqT7TFYtm/jQG2tlp8V0kYoxbT8+XtmnPH6hjItBw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-25T22:55:09.516104Z","bundle_sha256":"21181279e6a885984a640ae224a572e212ec0c929cdf7a1215c8614921ea9eb0"}}