{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2016:LCDLOOO5NWVE6CTU56FLY7FMFC","short_pith_number":"pith:LCDLOOO5","canonical_record":{"source":{"id":"1610.05959","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.CD","submitted_at":"2016-10-19T10:59:58Z","cross_cats_sorted":[],"title_canon_sha256":"7983ce4313d50595acbf374ecfe73da3e6ba913c57d7fe65fde69a27132a3c50","abstract_canon_sha256":"341654dea156f32077017ddb44f50d0f86ce06e61c122d388c96ae1dfdfaf312"},"schema_version":"1.0"},"canonical_sha256":"5886b739dd6daa4f0a74ef8abc7cac28979a1c2067341c5333c47062ab082362","source":{"kind":"arxiv","id":"1610.05959","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1610.05959","created_at":"2026-05-18T00:46:39Z"},{"alias_kind":"arxiv_version","alias_value":"1610.05959v1","created_at":"2026-05-18T00:46:39Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1610.05959","created_at":"2026-05-18T00:46:39Z"},{"alias_kind":"pith_short_12","alias_value":"LCDLOOO5NWVE","created_at":"2026-05-18T12:30:29Z"},{"alias_kind":"pith_short_16","alias_value":"LCDLOOO5NWVE6CTU","created_at":"2026-05-18T12:30:29Z"},{"alias_kind":"pith_short_8","alias_value":"LCDLOOO5","created_at":"2026-05-18T12:30:29Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2016:LCDLOOO5NWVE6CTU56FLY7FMFC","target":"record","payload":{"canonical_record":{"source":{"id":"1610.05959","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.CD","submitted_at":"2016-10-19T10:59:58Z","cross_cats_sorted":[],"title_canon_sha256":"7983ce4313d50595acbf374ecfe73da3e6ba913c57d7fe65fde69a27132a3c50","abstract_canon_sha256":"341654dea156f32077017ddb44f50d0f86ce06e61c122d388c96ae1dfdfaf312"},"schema_version":"1.0"},"canonical_sha256":"5886b739dd6daa4f0a74ef8abc7cac28979a1c2067341c5333c47062ab082362","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:46:39.381535Z","signature_b64":"p9osLH07iv1TQOqNM9lMD4fWbgbL3nG5XEl8QtYWJeTD4iPNFz6q1d+R/iQa/9+rT14fTox/07WZW90ekpQCBA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"5886b739dd6daa4f0a74ef8abc7cac28979a1c2067341c5333c47062ab082362","last_reissued_at":"2026-05-18T00:46:39.380799Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:46:39.380799Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1610.05959","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":"2026-05-18T00:46:39Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"1ybmRq47BbV1eRR7SsCC5/+PzkS9QjVUhdk0oqQlfugjx5keFyEL46nxHFfacdy5BG9nVx2cGAjKYFq0luPeAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-02T20:40:20.873580Z"},"content_sha256":"3361f10e5ad191510c0edad8bbc18fc7d8d84ca7b275a3dc3ce1a247b91eab4a","schema_version":"1.0","event_id":"sha256:3361f10e5ad191510c0edad8bbc18fc7d8d84ca7b275a3dc3ce1a247b91eab4a"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2016:LCDLOOO5NWVE6CTU56FLY7FMFC","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Quantifying the dynamical complexity of time series","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"nlin.CD","authors_text":"Antonio Politi","submitted_at":"2016-10-19T10:59:58Z","abstract_excerpt":"A powerful tool is developed for the characterization of chaotic signals. The approach is based on the symbolic encoding of time series (according to their ordinal patterns) combined with the ensuing characterization of the corresponding cylinder sets. Quantitative estimates of the Kolmogorov-Sinai entropy are obtained by introducing a modified permutation entropy which takes into account the average width of the cylinder sets. The method works also in hyperchaotic systems and allows estimating the fractal dimension of the underlying attractors."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1610.05959","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":"2026-05-18T00:46:39Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"15iFc0tpo1yEfkUZD59xT2BP5hBOZ5rO88qxySWkUwzfRPcpdqGIj3HvqDs3r9HfGRgVChCHqT499LtdT1EvDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-02T20:40:20.873932Z"},"content_sha256":"7cc28cce36b2aa585f2cc69bfee8e54105e0c60fbce5e1801ed9c5d84ca30052","schema_version":"1.0","event_id":"sha256:7cc28cce36b2aa585f2cc69bfee8e54105e0c60fbce5e1801ed9c5d84ca30052"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/LCDLOOO5NWVE6CTU56FLY7FMFC/bundle.json","state_url":"https://pith.science/pith/LCDLOOO5NWVE6CTU56FLY7FMFC/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/LCDLOOO5NWVE6CTU56FLY7FMFC/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":"2026-06-02T20:40:20Z","links":{"resolver":"https://pith.science/pith/LCDLOOO5NWVE6CTU56FLY7FMFC","bundle":"https://pith.science/pith/LCDLOOO5NWVE6CTU56FLY7FMFC/bundle.json","state":"https://pith.science/pith/LCDLOOO5NWVE6CTU56FLY7FMFC/state.json","well_known_bundle":"https://pith.science/.well-known/pith/LCDLOOO5NWVE6CTU56FLY7FMFC/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:LCDLOOO5NWVE6CTU56FLY7FMFC","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":"341654dea156f32077017ddb44f50d0f86ce06e61c122d388c96ae1dfdfaf312","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.CD","submitted_at":"2016-10-19T10:59:58Z","title_canon_sha256":"7983ce4313d50595acbf374ecfe73da3e6ba913c57d7fe65fde69a27132a3c50"},"schema_version":"1.0","source":{"id":"1610.05959","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1610.05959","created_at":"2026-05-18T00:46:39Z"},{"alias_kind":"arxiv_version","alias_value":"1610.05959v1","created_at":"2026-05-18T00:46:39Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1610.05959","created_at":"2026-05-18T00:46:39Z"},{"alias_kind":"pith_short_12","alias_value":"LCDLOOO5NWVE","created_at":"2026-05-18T12:30:29Z"},{"alias_kind":"pith_short_16","alias_value":"LCDLOOO5NWVE6CTU","created_at":"2026-05-18T12:30:29Z"},{"alias_kind":"pith_short_8","alias_value":"LCDLOOO5","created_at":"2026-05-18T12:30:29Z"}],"graph_snapshots":[{"event_id":"sha256:7cc28cce36b2aa585f2cc69bfee8e54105e0c60fbce5e1801ed9c5d84ca30052","target":"graph","created_at":"2026-05-18T00:46:39Z","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":"A powerful tool is developed for the characterization of chaotic signals. The approach is based on the symbolic encoding of time series (according to their ordinal patterns) combined with the ensuing characterization of the corresponding cylinder sets. Quantitative estimates of the Kolmogorov-Sinai entropy are obtained by introducing a modified permutation entropy which takes into account the average width of the cylinder sets. The method works also in hyperchaotic systems and allows estimating the fractal dimension of the underlying attractors.","authors_text":"Antonio Politi","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.CD","submitted_at":"2016-10-19T10:59:58Z","title":"Quantifying the dynamical complexity of time series"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1610.05959","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":"sha256:3361f10e5ad191510c0edad8bbc18fc7d8d84ca7b275a3dc3ce1a247b91eab4a","target":"record","created_at":"2026-05-18T00:46:39Z","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":"341654dea156f32077017ddb44f50d0f86ce06e61c122d388c96ae1dfdfaf312","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.CD","submitted_at":"2016-10-19T10:59:58Z","title_canon_sha256":"7983ce4313d50595acbf374ecfe73da3e6ba913c57d7fe65fde69a27132a3c50"},"schema_version":"1.0","source":{"id":"1610.05959","kind":"arxiv","version":1}},"canonical_sha256":"5886b739dd6daa4f0a74ef8abc7cac28979a1c2067341c5333c47062ab082362","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"5886b739dd6daa4f0a74ef8abc7cac28979a1c2067341c5333c47062ab082362","first_computed_at":"2026-05-18T00:46:39.380799Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:46:39.380799Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"p9osLH07iv1TQOqNM9lMD4fWbgbL3nG5XEl8QtYWJeTD4iPNFz6q1d+R/iQa/9+rT14fTox/07WZW90ekpQCBA==","signature_status":"signed_v1","signed_at":"2026-05-18T00:46:39.381535Z","signed_message":"canonical_sha256_bytes"},"source_id":"1610.05959","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:3361f10e5ad191510c0edad8bbc18fc7d8d84ca7b275a3dc3ce1a247b91eab4a","sha256:7cc28cce36b2aa585f2cc69bfee8e54105e0c60fbce5e1801ed9c5d84ca30052"],"state_sha256":"975847e9613c251235f960b938e75b12ed2220696394956955e9cf5191272afb"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"N7+3HlrpCD8nREq/tBYaMOjRYLUngOydWY7D76dqNikac6iVUFeF0PUa7WsQhoK3TMmM6TbzOIhI/i5x3t43Cg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-02T20:40:20.875973Z","bundle_sha256":"3110b5d3db9a408a4dc619069a3c96edb1020433d34c39ced554dac6e0d0f5fe"}}