{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2008:RENIJ4G2BZBD754IHUGLDSPEY6","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":"7b6e7e3bc629f5ce67d4208a0f18592e289543128ba7c4f4425e550063be18bf","cross_cats_sorted":["cond-mat.dis-nn","math-ph","math.MP","nlin.CD"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2008-09-11T12:34:25Z","title_canon_sha256":"12d5bbb36ac9703bb3bdb080b3daa55380cdaa9adc312b9327451f3ed222a48f"},"schema_version":"1.0","source":{"id":"0809.1975","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0809.1975","created_at":"2026-05-18T04:37:22Z"},{"alias_kind":"arxiv_version","alias_value":"0809.1975v1","created_at":"2026-05-18T04:37:22Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0809.1975","created_at":"2026-05-18T04:37:22Z"},{"alias_kind":"pith_short_12","alias_value":"RENIJ4G2BZBD","created_at":"2026-05-18T12:25:58Z"},{"alias_kind":"pith_short_16","alias_value":"RENIJ4G2BZBD754I","created_at":"2026-05-18T12:25:58Z"},{"alias_kind":"pith_short_8","alias_value":"RENIJ4G2","created_at":"2026-05-18T12:25:58Z"}],"graph_snapshots":[{"event_id":"sha256:75660840cda8926c319e7f537a1eaf712471158e066b31d9d0cb74f14b53338f","target":"graph","created_at":"2026-05-18T04:37:22Z","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":"This paper examines numerically the complex classical trajectories of the kicked rotor and the double pendulum. Both of these systems exhibit a transition to chaos, and this feature is studied in complex phase space. Additionally, it is shown that the short-time and long-time behaviors of these two PT-symmetric dynamical models in complex phase space exhibit strong qualitative similarities.","authors_text":"Carl M. Bender, Daniel W. Hook, David J. Weir, Joshua Feinberg","cross_cats":["cond-mat.dis-nn","math-ph","math.MP","nlin.CD"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2008-09-11T12:34:25Z","title":"Chaotic systems in complex phase space"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0809.1975","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:b9a02c7fab2f48118123dcb11b2e8f0948621f190ec4a06382a4434a204f06f9","target":"record","created_at":"2026-05-18T04:37:22Z","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":"7b6e7e3bc629f5ce67d4208a0f18592e289543128ba7c4f4425e550063be18bf","cross_cats_sorted":["cond-mat.dis-nn","math-ph","math.MP","nlin.CD"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2008-09-11T12:34:25Z","title_canon_sha256":"12d5bbb36ac9703bb3bdb080b3daa55380cdaa9adc312b9327451f3ed222a48f"},"schema_version":"1.0","source":{"id":"0809.1975","kind":"arxiv","version":1}},"canonical_sha256":"891a84f0da0e423ff7883d0cb1c9e4c7817f927379c7aa4303dfd83dbd530460","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"891a84f0da0e423ff7883d0cb1c9e4c7817f927379c7aa4303dfd83dbd530460","first_computed_at":"2026-05-18T04:37:22.959449Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:37:22.959449Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"X9YHgPAInfeVtuw17cfE0g5QFPaeFnY2xdhd6QtzfAl1NzDc+gkYTpToZuHRcPhZWK7ub1dLOQwxr0bWT+h6Cg==","signature_status":"signed_v1","signed_at":"2026-05-18T04:37:22.959998Z","signed_message":"canonical_sha256_bytes"},"source_id":"0809.1975","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:b9a02c7fab2f48118123dcb11b2e8f0948621f190ec4a06382a4434a204f06f9","sha256:75660840cda8926c319e7f537a1eaf712471158e066b31d9d0cb74f14b53338f"],"state_sha256":"deccae36da70c23b964e4b412e756d239a98fdc2e6edaf3d5657d25d15e563a3"}