{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:LECHBMSDMKLS7RWLNKU242J3NT","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":"eeeb0be0cf8cb887080c96c8d7318d24785551e348826d1538350dc5ae92ec54","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.CD","submitted_at":"2011-01-24T17:18:28Z","title_canon_sha256":"9ffa300d73e36152db0829ffcdd47d41abc8f3e576d17df97735fe7b0ff935a4"},"schema_version":"1.0","source":{"id":"1101.4596","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1101.4596","created_at":"2026-05-18T04:31:10Z"},{"alias_kind":"arxiv_version","alias_value":"1101.4596v1","created_at":"2026-05-18T04:31:10Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1101.4596","created_at":"2026-05-18T04:31:10Z"},{"alias_kind":"pith_short_12","alias_value":"LECHBMSDMKLS","created_at":"2026-05-18T12:26:34Z"},{"alias_kind":"pith_short_16","alias_value":"LECHBMSDMKLS7RWL","created_at":"2026-05-18T12:26:34Z"},{"alias_kind":"pith_short_8","alias_value":"LECHBMSD","created_at":"2026-05-18T12:26:34Z"}],"graph_snapshots":[{"event_id":"sha256:3f8e14150e5547cdd9b4c4b55280eba7c041ef44fdf12178a7b6264b05659c3f","target":"graph","created_at":"2026-05-18T04:31:10Z","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 have studied a dissipative version of a one-dimensional Fermi accelerator model. The dynamics of the model is described in terms of a two-dimensional, nonlinear area-contracting map. The dissipation is introduced via innelastic collisions of the particle with the walls and we consider the dynamics in the regime of high dissipation. For such a regime, the model exhibits a route to chaos known as period doubling and we obtain a constant along the bifurcations so called the Feigenbaum's number $\\delta$.","authors_text":"Diego F. M. Oliveira, Edson D. Leonel","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.CD","submitted_at":"2011-01-24T17:18:28Z","title":"The Feigenbaum's $\\delta$ for a high dissipative bouncing ball model"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1101.4596","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":"sha256:9e59e1e70a804067c4f77887c6be3ec581099f00172f48e594aefddb69e04473","target":"record","created_at":"2026-05-18T04:31:10Z","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":"eeeb0be0cf8cb887080c96c8d7318d24785551e348826d1538350dc5ae92ec54","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.CD","submitted_at":"2011-01-24T17:18:28Z","title_canon_sha256":"9ffa300d73e36152db0829ffcdd47d41abc8f3e576d17df97735fe7b0ff935a4"},"schema_version":"1.0","source":{"id":"1101.4596","kind":"arxiv","version":1}},"canonical_sha256":"590470b24362972fc6cb6aa9ae693b6ce374bf4f735aa9b23284ddd9075265f4","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"590470b24362972fc6cb6aa9ae693b6ce374bf4f735aa9b23284ddd9075265f4","first_computed_at":"2026-05-18T04:31:10.828115Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:31:10.828115Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"qv6YXsizqHRhjqn7ghiiYNpUWJXbFM5BZF+kJjcFuZBvj7iDMA0w4N/QTo0hLL6zvJfly9dgawwQsXD+dDngCQ==","signature_status":"signed_v1","signed_at":"2026-05-18T04:31:10.828540Z","signed_message":"canonical_sha256_bytes"},"source_id":"1101.4596","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:9e59e1e70a804067c4f77887c6be3ec581099f00172f48e594aefddb69e04473","sha256:3f8e14150e5547cdd9b4c4b55280eba7c041ef44fdf12178a7b6264b05659c3f"],"state_sha256":"d83a4e848e4d9c78a45c187d7c528d84651e5cb29d872069d4a84cf542b08cda"}