{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2020:KFS2WU4T4A6CSRCQXFG44JSN7K","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":"e1337c95baf876f9b33cb0be9ccf4df7b0a546f48b40b94385efd9bf8d36fa0b","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"nlin.CD","submitted_at":"2020-12-13T17:50:38Z","title_canon_sha256":"d5a427e3ea995eebe151e91afa3dea16b16828f8b8a387bed151646ba2bac9a4"},"schema_version":"1.0","source":{"id":"2012.07115","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2012.07115","created_at":"2026-07-05T01:59:17Z"},{"alias_kind":"arxiv_version","alias_value":"2012.07115v1","created_at":"2026-07-05T01:59:17Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2012.07115","created_at":"2026-07-05T01:59:17Z"},{"alias_kind":"pith_short_12","alias_value":"KFS2WU4T4A6C","created_at":"2026-07-05T01:59:17Z"},{"alias_kind":"pith_short_16","alias_value":"KFS2WU4T4A6CSRCQ","created_at":"2026-07-05T01:59:17Z"},{"alias_kind":"pith_short_8","alias_value":"KFS2WU4T","created_at":"2026-07-05T01:59:17Z"}],"graph_snapshots":[{"event_id":"sha256:7d9bbed43b1690c5d0e11e905659987d9da73b1e05826002614402c88ba00d9b","target":"graph","created_at":"2026-07-05T01:59:17Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2012.07115/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"In Physics, we have laws that determine the time evolution of a given physical system, depending on its parameters and its initial conditions. When we have multi-stable systems, many attractors coexist so that their basins of attraction might possess fractal or even Wada boundaries in such a way that the prediction becomes more complicated depending on the initial conditions. Chaotic systems typically present fractal basins in phase space. A small uncertainty in the initial conditions gives rise to a certain unpredictability of the final state behavior. The new notion of basin entropy provides","authors_text":"Miguel A. F. Sanjuan","cross_cats":[],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"nlin.CD","submitted_at":"2020-12-13T17:50:38Z","title":"Unpredictability, Uncertainty and Fractal Structures in Physics"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2012.07115","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:d4409c65f4d50a21bd412040b9dd794534de3a39e5b7cacc067cd22cb4549aac","target":"record","created_at":"2026-07-05T01:59:17Z","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":"e1337c95baf876f9b33cb0be9ccf4df7b0a546f48b40b94385efd9bf8d36fa0b","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"nlin.CD","submitted_at":"2020-12-13T17:50:38Z","title_canon_sha256":"d5a427e3ea995eebe151e91afa3dea16b16828f8b8a387bed151646ba2bac9a4"},"schema_version":"1.0","source":{"id":"2012.07115","kind":"arxiv","version":1}},"canonical_sha256":"5165ab5393e03c294450b94dce264dfab4b52b8fd2cfa4a74c9aee90ebcb6ea2","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"5165ab5393e03c294450b94dce264dfab4b52b8fd2cfa4a74c9aee90ebcb6ea2","first_computed_at":"2026-07-05T01:59:17.434626Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T01:59:17.434626Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"hQ/N8Mj8M+2aMlAsq/b4dlqeL60rV9pSpy00BITrovKeoToZs9+r2tsKGaLpZw+Tqj1tJ1Wti1BroxbjHQLgCA==","signature_status":"signed_v1","signed_at":"2026-07-05T01:59:17.435019Z","signed_message":"canonical_sha256_bytes"},"source_id":"2012.07115","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:d4409c65f4d50a21bd412040b9dd794534de3a39e5b7cacc067cd22cb4549aac","sha256:7d9bbed43b1690c5d0e11e905659987d9da73b1e05826002614402c88ba00d9b"],"state_sha256":"2aa6f5d1be206f882f5a0622f0b40411fc32cc20b238a41e3fe3af1fa7e7b00d"}