{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:LKL377YV2VPT3UI4Q3EJBOXFE3","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":"a38f5d516e8ecdbd8c6a15de7ddc16e9bb111100aa9010b86b65d81ac6e46ba2","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.CD","submitted_at":"2013-10-03T21:49:58Z","title_canon_sha256":"2437c8f56d1d2bfc98bf46db11d1c5cc350b0f2c63b771d63586ffcc186196c2"},"schema_version":"1.0","source":{"id":"1310.1122","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1310.1122","created_at":"2026-05-18T03:11:12Z"},{"alias_kind":"arxiv_version","alias_value":"1310.1122v2","created_at":"2026-05-18T03:11:12Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1310.1122","created_at":"2026-05-18T03:11:12Z"},{"alias_kind":"pith_short_12","alias_value":"LKL377YV2VPT","created_at":"2026-05-18T12:27:51Z"},{"alias_kind":"pith_short_16","alias_value":"LKL377YV2VPT3UI4","created_at":"2026-05-18T12:27:51Z"},{"alias_kind":"pith_short_8","alias_value":"LKL377YV","created_at":"2026-05-18T12:27:51Z"}],"graph_snapshots":[{"event_id":"sha256:eb078003dccfb691213195de2df27e0467a6a4e7be3336935a7b1d9ab4db3818","target":"graph","created_at":"2026-05-18T03:11:12Z","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":"Using bi-parametric sweeping based on symbolic representation we reveal self-similar fractal structures induced by hetero- and homoclinic bifurcations of saddle singularities in the parameter space of two systems with deterministic chaos. We start with the system which displays several homoclinic bifurcations of higher codimension: resonant saddle, orbit-flip and inclination switch that all give rise to the onset of the Lorenz-type attractor in $Z_2$-systems with the homoclinic butterfly. The second system is the classic Lorenz model of 1963, originated in fluid mechanics.","authors_text":"Andrey L. Shilnikov, Jeremy Wojcik, Michael A. Zaks, Tingli Xing","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.CD","submitted_at":"2013-10-03T21:49:58Z","title":"Computational quest for Kaos-land"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1310.1122","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:d53188b39bffa72b4172e8f7d3afcfefdd41302fec87cd1095be2e07f62551aa","target":"record","created_at":"2026-05-18T03:11:12Z","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":"a38f5d516e8ecdbd8c6a15de7ddc16e9bb111100aa9010b86b65d81ac6e46ba2","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.CD","submitted_at":"2013-10-03T21:49:58Z","title_canon_sha256":"2437c8f56d1d2bfc98bf46db11d1c5cc350b0f2c63b771d63586ffcc186196c2"},"schema_version":"1.0","source":{"id":"1310.1122","kind":"arxiv","version":2}},"canonical_sha256":"5a97bfff15d55f3dd11c86c890bae526f8b65111a212e3e0f43d4dcf37bdf55a","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"5a97bfff15d55f3dd11c86c890bae526f8b65111a212e3e0f43d4dcf37bdf55a","first_computed_at":"2026-05-18T03:11:12.210129Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:11:12.210129Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"QrCQTqaadoXcI2+TrbOswclUgR32RNZ6cLFJbyTunFtt+RNLGcC0KEiBCbFnSRZ7IUBNG5NYkWrPboMLNb0ZCw==","signature_status":"signed_v1","signed_at":"2026-05-18T03:11:12.211089Z","signed_message":"canonical_sha256_bytes"},"source_id":"1310.1122","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:d53188b39bffa72b4172e8f7d3afcfefdd41302fec87cd1095be2e07f62551aa","sha256:eb078003dccfb691213195de2df27e0467a6a4e7be3336935a7b1d9ab4db3818"],"state_sha256":"711c7fc656cc67d8e7e22730338a8c0c2a0f6d9abb5e812eb437e4c290425296"}