{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:BILOZPIIGX6HBAISPLSZ7ANJRE","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":"4729b867cbefe9220d7a2b56166cac80cd03f0d5620ea6c9f3973ac5124bdab2","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.CD","submitted_at":"2014-11-06T22:20:19Z","title_canon_sha256":"83005cf344ef42eb83f34357a56d630a1337d0a6586edd6398d8f11720b54979"},"schema_version":"1.0","source":{"id":"1411.1783","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1411.1783","created_at":"2026-05-18T01:35:11Z"},{"alias_kind":"arxiv_version","alias_value":"1411.1783v2","created_at":"2026-05-18T01:35:11Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1411.1783","created_at":"2026-05-18T01:35:11Z"},{"alias_kind":"pith_short_12","alias_value":"BILOZPIIGX6H","created_at":"2026-05-18T12:28:22Z"},{"alias_kind":"pith_short_16","alias_value":"BILOZPIIGX6HBAIS","created_at":"2026-05-18T12:28:22Z"},{"alias_kind":"pith_short_8","alias_value":"BILOZPII","created_at":"2026-05-18T12:28:22Z"}],"graph_snapshots":[{"event_id":"sha256:8563ba306c40b92d12e3d09151d03d22b2bbdada961ed9a6a7df107ab3207d2f","target":"graph","created_at":"2026-05-18T01:35:11Z","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":"The phase space of a typical Hamiltonian system contains both chaotic and regular orbits, mixed in a complex, fractal pattern. One oft-studied phenomenon is the algebraic decay of correlations and recurrence time distributions. For area-preserving maps, this has been attributed to the stickiness of boundary circles, which separate chaotic and regular components. Though such dynamics has been extensively studied, a full understanding depends on many fine details that typically are beyond experimental and numerical resolution. This calls for a statistical approach, the subject of the present wor","authors_text":"James D. Meiss, Or Alus, Shmuel Fishman","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.CD","submitted_at":"2014-11-06T22:20:19Z","title":"Statistics of the Island-Around-Island Hierarchy in Hamiltonian Phase Space"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1411.1783","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":"sha256:5bdbd645a56b4599ed7be7ef9a6dedf6f32a2f8c11c66431aa119e3415f165ba","target":"record","created_at":"2026-05-18T01:35:11Z","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":"4729b867cbefe9220d7a2b56166cac80cd03f0d5620ea6c9f3973ac5124bdab2","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.CD","submitted_at":"2014-11-06T22:20:19Z","title_canon_sha256":"83005cf344ef42eb83f34357a56d630a1337d0a6586edd6398d8f11720b54979"},"schema_version":"1.0","source":{"id":"1411.1783","kind":"arxiv","version":2}},"canonical_sha256":"0a16ecbd0835fc7081127ae59f81a9891f746cba0303d991c0507df371ba0522","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"0a16ecbd0835fc7081127ae59f81a9891f746cba0303d991c0507df371ba0522","first_computed_at":"2026-05-18T01:35:11.805461Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:35:11.805461Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"jRofeAqMPwde/nMTtlLWNGCjvjiTfgJB+k+FRWDWENJlYxgmLxQH4yMgDiH7zYYmPagoU7pSPfoCsDb26ljWDg==","signature_status":"signed_v1","signed_at":"2026-05-18T01:35:11.806253Z","signed_message":"canonical_sha256_bytes"},"source_id":"1411.1783","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:5bdbd645a56b4599ed7be7ef9a6dedf6f32a2f8c11c66431aa119e3415f165ba","sha256:8563ba306c40b92d12e3d09151d03d22b2bbdada961ed9a6a7df107ab3207d2f"],"state_sha256":"2369d752cf55c815997a9e3beb6c05de15b860611271aa7e4c4dd59867146e8f"}