{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2016:E5L23R6N3TQOKZSOYWVT5D7APX","short_pith_number":"pith:E5L23R6N","canonical_record":{"source":{"id":"1611.01656","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.CD","submitted_at":"2016-11-05T13:55:43Z","cross_cats_sorted":["math-ph","math.DS","math.MP","nlin.SI"],"title_canon_sha256":"8b58ee73fc9796a2c6f1392cfd79384e3cb95b7f7cb2788df30279805ada3919","abstract_canon_sha256":"fb98b7c02dea0876db296a9e0c6b297ffa80284e0db066647c13c6b16e2bdb09"},"schema_version":"1.0"},"canonical_sha256":"2757adc7cddce0e5664ec5ab3e8fe07deeb8c59bc6550130a1d1c1a2346fd8a2","source":{"kind":"arxiv","id":"1611.01656","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1611.01656","created_at":"2026-05-18T00:35:55Z"},{"alias_kind":"arxiv_version","alias_value":"1611.01656v3","created_at":"2026-05-18T00:35:55Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1611.01656","created_at":"2026-05-18T00:35:55Z"},{"alias_kind":"pith_short_12","alias_value":"E5L23R6N3TQO","created_at":"2026-05-18T12:30:12Z"},{"alias_kind":"pith_short_16","alias_value":"E5L23R6N3TQOKZSO","created_at":"2026-05-18T12:30:12Z"},{"alias_kind":"pith_short_8","alias_value":"E5L23R6N","created_at":"2026-05-18T12:30:12Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2016:E5L23R6N3TQOKZSOYWVT5D7APX","target":"record","payload":{"canonical_record":{"source":{"id":"1611.01656","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.CD","submitted_at":"2016-11-05T13:55:43Z","cross_cats_sorted":["math-ph","math.DS","math.MP","nlin.SI"],"title_canon_sha256":"8b58ee73fc9796a2c6f1392cfd79384e3cb95b7f7cb2788df30279805ada3919","abstract_canon_sha256":"fb98b7c02dea0876db296a9e0c6b297ffa80284e0db066647c13c6b16e2bdb09"},"schema_version":"1.0"},"canonical_sha256":"2757adc7cddce0e5664ec5ab3e8fe07deeb8c59bc6550130a1d1c1a2346fd8a2","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:35:55.474784Z","signature_b64":"Mofpsxb+4s4y+XmKpjUM7+myGR7bjFb7cfLd20ZpJi4agywoY4bn6D6Kr3519WfkDVoCwWjk/mCyx0LqdD6aCQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"2757adc7cddce0e5664ec5ab3e8fe07deeb8c59bc6550130a1d1c1a2346fd8a2","last_reissued_at":"2026-05-18T00:35:55.474347Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:35:55.474347Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1611.01656","source_version":3,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T00:35:55Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"BQ9j4IsjrWeozPBckzcivWacr83njTzyhxwyw52z4wnJgmdO2kkQyjsYK3iIfWE3PfVc8g6feisdBraniJZTDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-23T14:17:56.892190Z"},"content_sha256":"86c82921d6425cbb9f5b810c3d970e8ca033dd8a26db876d74ed003a3f7a7644","schema_version":"1.0","event_id":"sha256:86c82921d6425cbb9f5b810c3d970e8ca033dd8a26db876d74ed003a3f7a7644"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2016:E5L23R6N3TQOKZSOYWVT5D7APX","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Autonomous choices among deterministic evolution-laws as source of uncertainty","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.DS","math.MP","nlin.SI"],"primary_cat":"nlin.CD","authors_text":"A. Meyroneinc, K. Campos, L. Di G. Sigalotti, L. Trujillo, O. Rendon","submitted_at":"2016-11-05T13:55:43Z","abstract_excerpt":"We provide evidence of an extreme form of sensitivity to initial conditions in a family of one-dimensional self-ruling dynamical systems. We prove that some hyperchaotic sequences are closed-form expressions of the orbits of these pseudo-random dynamical systems. Each chaotic system in this family exhibits a sensitivity to initial conditions that encompasses the sequence of choices of the evolution rule in some collection of maps. This opens a possibility to extend current theories of complex behaviors on the basis of intrinsic uncertainty in deterministic chaos."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1611.01656","kind":"arxiv","version":3},"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":"2026-05-18T00:35:55Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"OXv3KkLeLjpuTuFIqwZNWBMzUgzD7ahhnhrsUSPCxqlUzLyNvOezdEW3BjH2Q/h+qpxTuNgKSwxXGDKrAOw6Aw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-23T14:17:56.892564Z"},"content_sha256":"7f0024ce27be1d4b840bf52394dd0a26a4d9d5ea1ad905455bfb85f91b196a56","schema_version":"1.0","event_id":"sha256:7f0024ce27be1d4b840bf52394dd0a26a4d9d5ea1ad905455bfb85f91b196a56"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/E5L23R6N3TQOKZSOYWVT5D7APX/bundle.json","state_url":"https://pith.science/pith/E5L23R6N3TQOKZSOYWVT5D7APX/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/E5L23R6N3TQOKZSOYWVT5D7APX/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":"2026-06-23T14:17:56Z","links":{"resolver":"https://pith.science/pith/E5L23R6N3TQOKZSOYWVT5D7APX","bundle":"https://pith.science/pith/E5L23R6N3TQOKZSOYWVT5D7APX/bundle.json","state":"https://pith.science/pith/E5L23R6N3TQOKZSOYWVT5D7APX/state.json","well_known_bundle":"https://pith.science/.well-known/pith/E5L23R6N3TQOKZSOYWVT5D7APX/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:E5L23R6N3TQOKZSOYWVT5D7APX","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":"fb98b7c02dea0876db296a9e0c6b297ffa80284e0db066647c13c6b16e2bdb09","cross_cats_sorted":["math-ph","math.DS","math.MP","nlin.SI"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.CD","submitted_at":"2016-11-05T13:55:43Z","title_canon_sha256":"8b58ee73fc9796a2c6f1392cfd79384e3cb95b7f7cb2788df30279805ada3919"},"schema_version":"1.0","source":{"id":"1611.01656","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1611.01656","created_at":"2026-05-18T00:35:55Z"},{"alias_kind":"arxiv_version","alias_value":"1611.01656v3","created_at":"2026-05-18T00:35:55Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1611.01656","created_at":"2026-05-18T00:35:55Z"},{"alias_kind":"pith_short_12","alias_value":"E5L23R6N3TQO","created_at":"2026-05-18T12:30:12Z"},{"alias_kind":"pith_short_16","alias_value":"E5L23R6N3TQOKZSO","created_at":"2026-05-18T12:30:12Z"},{"alias_kind":"pith_short_8","alias_value":"E5L23R6N","created_at":"2026-05-18T12:30:12Z"}],"graph_snapshots":[{"event_id":"sha256:7f0024ce27be1d4b840bf52394dd0a26a4d9d5ea1ad905455bfb85f91b196a56","target":"graph","created_at":"2026-05-18T00:35:55Z","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 provide evidence of an extreme form of sensitivity to initial conditions in a family of one-dimensional self-ruling dynamical systems. We prove that some hyperchaotic sequences are closed-form expressions of the orbits of these pseudo-random dynamical systems. Each chaotic system in this family exhibits a sensitivity to initial conditions that encompasses the sequence of choices of the evolution rule in some collection of maps. This opens a possibility to extend current theories of complex behaviors on the basis of intrinsic uncertainty in deterministic chaos.","authors_text":"A. Meyroneinc, K. Campos, L. Di G. Sigalotti, L. Trujillo, O. Rendon","cross_cats":["math-ph","math.DS","math.MP","nlin.SI"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.CD","submitted_at":"2016-11-05T13:55:43Z","title":"Autonomous choices among deterministic evolution-laws as source of uncertainty"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1611.01656","kind":"arxiv","version":3},"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":"sha256:86c82921d6425cbb9f5b810c3d970e8ca033dd8a26db876d74ed003a3f7a7644","target":"record","created_at":"2026-05-18T00:35:55Z","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":"fb98b7c02dea0876db296a9e0c6b297ffa80284e0db066647c13c6b16e2bdb09","cross_cats_sorted":["math-ph","math.DS","math.MP","nlin.SI"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.CD","submitted_at":"2016-11-05T13:55:43Z","title_canon_sha256":"8b58ee73fc9796a2c6f1392cfd79384e3cb95b7f7cb2788df30279805ada3919"},"schema_version":"1.0","source":{"id":"1611.01656","kind":"arxiv","version":3}},"canonical_sha256":"2757adc7cddce0e5664ec5ab3e8fe07deeb8c59bc6550130a1d1c1a2346fd8a2","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"2757adc7cddce0e5664ec5ab3e8fe07deeb8c59bc6550130a1d1c1a2346fd8a2","first_computed_at":"2026-05-18T00:35:55.474347Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:35:55.474347Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Mofpsxb+4s4y+XmKpjUM7+myGR7bjFb7cfLd20ZpJi4agywoY4bn6D6Kr3519WfkDVoCwWjk/mCyx0LqdD6aCQ==","signature_status":"signed_v1","signed_at":"2026-05-18T00:35:55.474784Z","signed_message":"canonical_sha256_bytes"},"source_id":"1611.01656","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:86c82921d6425cbb9f5b810c3d970e8ca033dd8a26db876d74ed003a3f7a7644","sha256:7f0024ce27be1d4b840bf52394dd0a26a4d9d5ea1ad905455bfb85f91b196a56"],"state_sha256":"fe3f8c602f120c4739a06df657b1757e43a4cead28362b190cad4040739a74fc"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"6tdt0UEPt7LHFwcJ3MEqDYAoYmj7dPbkX9cWKRhr10OEHneiuIj3JqKqZ+eYJmzf/fSCaCyYg6Nd1aE3bBw/DA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-23T14:17:56.894532Z","bundle_sha256":"7d6de4febf318f172a4263ca0e146eaaec449f2e7f9e597f5282d144d2bdf658"}}