{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2015:ZRW67UZFPK3GGWIEB3X2HO3W7K","short_pith_number":"pith:ZRW67UZF","canonical_record":{"source":{"id":"1509.09206","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.CD","submitted_at":"2015-09-30T15:03:15Z","cross_cats_sorted":[],"title_canon_sha256":"6f3521ff1f5e795c6ffb9e89d20d2c27c856d4b3fadd866d2b44ae751b93f305","abstract_canon_sha256":"be19bdedf1ac9a2770c56e52ca1d59c491482debeddc5c37450ff0b155f624a4"},"schema_version":"1.0"},"canonical_sha256":"cc6defd3257ab66359040eefa3bb76fa91a80d321a8bb79c9ec12e41b1d5961f","source":{"kind":"arxiv","id":"1509.09206","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1509.09206","created_at":"2026-05-18T01:31:20Z"},{"alias_kind":"arxiv_version","alias_value":"1509.09206v2","created_at":"2026-05-18T01:31:20Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1509.09206","created_at":"2026-05-18T01:31:20Z"},{"alias_kind":"pith_short_12","alias_value":"ZRW67UZFPK3G","created_at":"2026-05-18T12:29:52Z"},{"alias_kind":"pith_short_16","alias_value":"ZRW67UZFPK3GGWIE","created_at":"2026-05-18T12:29:52Z"},{"alias_kind":"pith_short_8","alias_value":"ZRW67UZF","created_at":"2026-05-18T12:29:52Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2015:ZRW67UZFPK3GGWIEB3X2HO3W7K","target":"record","payload":{"canonical_record":{"source":{"id":"1509.09206","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.CD","submitted_at":"2015-09-30T15:03:15Z","cross_cats_sorted":[],"title_canon_sha256":"6f3521ff1f5e795c6ffb9e89d20d2c27c856d4b3fadd866d2b44ae751b93f305","abstract_canon_sha256":"be19bdedf1ac9a2770c56e52ca1d59c491482debeddc5c37450ff0b155f624a4"},"schema_version":"1.0"},"canonical_sha256":"cc6defd3257ab66359040eefa3bb76fa91a80d321a8bb79c9ec12e41b1d5961f","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:31:20.939885Z","signature_b64":"rUUawyDnGQUQJ12NpB+LxxqGpL5WerJ0eHEmgxJC8jOKDiBmaX8XVaKeZ+C+BHCUjLtA3CTDiVmgbE9L5phJDQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"cc6defd3257ab66359040eefa3bb76fa91a80d321a8bb79c9ec12e41b1d5961f","last_reissued_at":"2026-05-18T01:31:20.938988Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:31:20.938988Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1509.09206","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T01:31:20Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"/ApZSpdZInNL3x9YE0mh6FBGwdhfV8Q/33MhJAdCsiXy50k0qzXeTzYRM8UFDRKzVC922FfEPfcSmxb6ITM8BA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-31T18:15:33.966309Z"},"content_sha256":"c16e0970981498b1462c13938225a3d8d9ea1275c748b24007ba8be3ee458a3d","schema_version":"1.0","event_id":"sha256:c16e0970981498b1462c13938225a3d8d9ea1275c748b24007ba8be3ee458a3d"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2015:ZRW67UZFPK3GGWIEB3X2HO3W7K","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Looking more closely to the Rabinovich-Fabrikant system","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"nlin.CD","authors_text":"Guanrong Chen, Marius-F. Danca, Michal Feckan, Nikolay Kuznetsov","submitted_at":"2015-09-30T15:03:15Z","abstract_excerpt":"Recently, we look more closely into the Rabinovich-Fabrikant system, after a decade of the study in [Danca & Chen, 2004], discovering some new characteristics such as cycling chaos, transient chaos, chaotic hidden attractors and a new kind of saddles-like attractor. In addition to extensive and accurate numerical analysis, on the assumptive existence of heteroclinic orbits, we provide a few of their approximations."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1509.09206","kind":"arxiv","version":2},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T01:31:20Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"u8n0flePx3hj1wWEnhnc5Wtm397it2Auh8zWZZ7scv9C1mgqLAY6iHxwoLG8fNEstZrHhxy6+YOBYXEpzdmeBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-31T18:15:33.966998Z"},"content_sha256":"a09458d5a319d42161257335fd84d98558fd1f91d05bf4a39835f55c6ee41de1","schema_version":"1.0","event_id":"sha256:a09458d5a319d42161257335fd84d98558fd1f91d05bf4a39835f55c6ee41de1"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/ZRW67UZFPK3GGWIEB3X2HO3W7K/bundle.json","state_url":"https://pith.science/pith/ZRW67UZFPK3GGWIEB3X2HO3W7K/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/ZRW67UZFPK3GGWIEB3X2HO3W7K/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-05-31T18:15:33Z","links":{"resolver":"https://pith.science/pith/ZRW67UZFPK3GGWIEB3X2HO3W7K","bundle":"https://pith.science/pith/ZRW67UZFPK3GGWIEB3X2HO3W7K/bundle.json","state":"https://pith.science/pith/ZRW67UZFPK3GGWIEB3X2HO3W7K/state.json","well_known_bundle":"https://pith.science/.well-known/pith/ZRW67UZFPK3GGWIEB3X2HO3W7K/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:ZRW67UZFPK3GGWIEB3X2HO3W7K","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":"be19bdedf1ac9a2770c56e52ca1d59c491482debeddc5c37450ff0b155f624a4","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.CD","submitted_at":"2015-09-30T15:03:15Z","title_canon_sha256":"6f3521ff1f5e795c6ffb9e89d20d2c27c856d4b3fadd866d2b44ae751b93f305"},"schema_version":"1.0","source":{"id":"1509.09206","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1509.09206","created_at":"2026-05-18T01:31:20Z"},{"alias_kind":"arxiv_version","alias_value":"1509.09206v2","created_at":"2026-05-18T01:31:20Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1509.09206","created_at":"2026-05-18T01:31:20Z"},{"alias_kind":"pith_short_12","alias_value":"ZRW67UZFPK3G","created_at":"2026-05-18T12:29:52Z"},{"alias_kind":"pith_short_16","alias_value":"ZRW67UZFPK3GGWIE","created_at":"2026-05-18T12:29:52Z"},{"alias_kind":"pith_short_8","alias_value":"ZRW67UZF","created_at":"2026-05-18T12:29:52Z"}],"graph_snapshots":[{"event_id":"sha256:a09458d5a319d42161257335fd84d98558fd1f91d05bf4a39835f55c6ee41de1","target":"graph","created_at":"2026-05-18T01:31:20Z","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":"Recently, we look more closely into the Rabinovich-Fabrikant system, after a decade of the study in [Danca & Chen, 2004], discovering some new characteristics such as cycling chaos, transient chaos, chaotic hidden attractors and a new kind of saddles-like attractor. In addition to extensive and accurate numerical analysis, on the assumptive existence of heteroclinic orbits, we provide a few of their approximations.","authors_text":"Guanrong Chen, Marius-F. Danca, Michal Feckan, Nikolay Kuznetsov","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.CD","submitted_at":"2015-09-30T15:03:15Z","title":"Looking more closely to the Rabinovich-Fabrikant system"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1509.09206","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:c16e0970981498b1462c13938225a3d8d9ea1275c748b24007ba8be3ee458a3d","target":"record","created_at":"2026-05-18T01:31:20Z","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":"be19bdedf1ac9a2770c56e52ca1d59c491482debeddc5c37450ff0b155f624a4","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.CD","submitted_at":"2015-09-30T15:03:15Z","title_canon_sha256":"6f3521ff1f5e795c6ffb9e89d20d2c27c856d4b3fadd866d2b44ae751b93f305"},"schema_version":"1.0","source":{"id":"1509.09206","kind":"arxiv","version":2}},"canonical_sha256":"cc6defd3257ab66359040eefa3bb76fa91a80d321a8bb79c9ec12e41b1d5961f","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"cc6defd3257ab66359040eefa3bb76fa91a80d321a8bb79c9ec12e41b1d5961f","first_computed_at":"2026-05-18T01:31:20.938988Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:31:20.938988Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"rUUawyDnGQUQJ12NpB+LxxqGpL5WerJ0eHEmgxJC8jOKDiBmaX8XVaKeZ+C+BHCUjLtA3CTDiVmgbE9L5phJDQ==","signature_status":"signed_v1","signed_at":"2026-05-18T01:31:20.939885Z","signed_message":"canonical_sha256_bytes"},"source_id":"1509.09206","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:c16e0970981498b1462c13938225a3d8d9ea1275c748b24007ba8be3ee458a3d","sha256:a09458d5a319d42161257335fd84d98558fd1f91d05bf4a39835f55c6ee41de1"],"state_sha256":"c7a29a7be226caf676b33d607a5a93c1a4cb42582cb5d92da9ddd612bcf7ad1f"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"x92mERN9YS7F9rf9luIzzghCpm9ArBX89wroU03I5caugy83D5k8CKPUqum6Ukr5ym2XBnnXCw69MFf5ZiTfDg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-31T18:15:33.970676Z","bundle_sha256":"8b8888fad509c39e652e3c1bee1925f73c79bf1257d1abaaece010e28c3cad34"}}