{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2014:T5LCWZ5VJW2RGF6IQMGJR4CN3O","short_pith_number":"pith:T5LCWZ5V","canonical_record":{"source":{"id":"1409.6738","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.CD","submitted_at":"2014-09-23T20:14:29Z","cross_cats_sorted":[],"title_canon_sha256":"1b26a8a175121a1db0459efb5e137c6c8354438075c021d80d0ff18690e22fc8","abstract_canon_sha256":"95eca24204db5624ba3d6b9bd10074a221ee27974998ca0fd82f1cc26d65b3d3"},"schema_version":"1.0"},"canonical_sha256":"9f562b67b54db51317c8830c98f04ddb80ef2a0db26b2af0eefbecfb1dad898c","source":{"kind":"arxiv","id":"1409.6738","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1409.6738","created_at":"2026-05-18T02:42:00Z"},{"alias_kind":"arxiv_version","alias_value":"1409.6738v1","created_at":"2026-05-18T02:42:00Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1409.6738","created_at":"2026-05-18T02:42:00Z"},{"alias_kind":"pith_short_12","alias_value":"T5LCWZ5VJW2R","created_at":"2026-05-18T12:28:49Z"},{"alias_kind":"pith_short_16","alias_value":"T5LCWZ5VJW2RGF6I","created_at":"2026-05-18T12:28:49Z"},{"alias_kind":"pith_short_8","alias_value":"T5LCWZ5V","created_at":"2026-05-18T12:28:49Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2014:T5LCWZ5VJW2RGF6IQMGJR4CN3O","target":"record","payload":{"canonical_record":{"source":{"id":"1409.6738","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.CD","submitted_at":"2014-09-23T20:14:29Z","cross_cats_sorted":[],"title_canon_sha256":"1b26a8a175121a1db0459efb5e137c6c8354438075c021d80d0ff18690e22fc8","abstract_canon_sha256":"95eca24204db5624ba3d6b9bd10074a221ee27974998ca0fd82f1cc26d65b3d3"},"schema_version":"1.0"},"canonical_sha256":"9f562b67b54db51317c8830c98f04ddb80ef2a0db26b2af0eefbecfb1dad898c","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:42:00.519521Z","signature_b64":"LIWFO1Ze8GrRufy8B8sRPGhBE7PFRB6Xpy+jTnjzOMNIGU39ANCt+cQI2NMF11J0puBZa+HVAWMo+MKoK2ZCDw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"9f562b67b54db51317c8830c98f04ddb80ef2a0db26b2af0eefbecfb1dad898c","last_reissued_at":"2026-05-18T02:42:00.519113Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:42:00.519113Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1409.6738","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T02:42:00Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"EMKHwOdpoVYCDDrv2cuCRQ0/l+0ngH5IKRO/c+aiwGuYvaWuQZLTwU5076aTdwyzb2RAm2sTl7Vyy6oQSV73DA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-27T15:09:38.900832Z"},"content_sha256":"54ce13dbdb8d82643bb8083cef29aac8df21f346dc5c385ab8eb16053b56df19","schema_version":"1.0","event_id":"sha256:54ce13dbdb8d82643bb8083cef29aac8df21f346dc5c385ab8eb16053b56df19"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2014:T5LCWZ5VJW2RGF6IQMGJR4CN3O","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Is one dimensional return map sufficient to describe the chaotic dynamics of a three dimensional system?","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"nlin.CD","authors_text":"D K Bhattacharya, Sanjay Kumar Palit, Sayan Mukherjee","submitted_at":"2014-09-23T20:14:29Z","abstract_excerpt":"Study of continuous dynamical system through Poincare map is one of the most popular topics in nonlinear analysis. This is done by taking intersections of the orbit of flow by a hyper-plane parallel to one of the coordinate hyper-planes of co-dimension one. Naturally for a 3D-attractor, the Poincare map gives rise to 2D points, which can describe the dynamics of the attractor properly. In a very special case, sometimes these 2D points are considered as their 1D-projections to obtain a 1D map. However, this is an artificial way of reducing the 2D map by dropping one of the variables. Sometimes "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1409.6738","kind":"arxiv","version":1},"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":"2026-05-18T02:42:00Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ziYQwIVJMi+WXJX+TYltRN5I69VCdDtYsGs7ZLRoLILY5vEURqw4vBGU8HAhPM7A4yQRMDrL1F9Gina/MoK3CA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-27T15:09:38.901167Z"},"content_sha256":"77f8717ec64ea4eccf90eb7a964fd41a3dc53c5aba2a5c4b9f52f8b9f3059886","schema_version":"1.0","event_id":"sha256:77f8717ec64ea4eccf90eb7a964fd41a3dc53c5aba2a5c4b9f52f8b9f3059886"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/T5LCWZ5VJW2RGF6IQMGJR4CN3O/bundle.json","state_url":"https://pith.science/pith/T5LCWZ5VJW2RGF6IQMGJR4CN3O/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/T5LCWZ5VJW2RGF6IQMGJR4CN3O/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":"2026-06-27T15:09:38Z","links":{"resolver":"https://pith.science/pith/T5LCWZ5VJW2RGF6IQMGJR4CN3O","bundle":"https://pith.science/pith/T5LCWZ5VJW2RGF6IQMGJR4CN3O/bundle.json","state":"https://pith.science/pith/T5LCWZ5VJW2RGF6IQMGJR4CN3O/state.json","well_known_bundle":"https://pith.science/.well-known/pith/T5LCWZ5VJW2RGF6IQMGJR4CN3O/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:T5LCWZ5VJW2RGF6IQMGJR4CN3O","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":"95eca24204db5624ba3d6b9bd10074a221ee27974998ca0fd82f1cc26d65b3d3","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.CD","submitted_at":"2014-09-23T20:14:29Z","title_canon_sha256":"1b26a8a175121a1db0459efb5e137c6c8354438075c021d80d0ff18690e22fc8"},"schema_version":"1.0","source":{"id":"1409.6738","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1409.6738","created_at":"2026-05-18T02:42:00Z"},{"alias_kind":"arxiv_version","alias_value":"1409.6738v1","created_at":"2026-05-18T02:42:00Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1409.6738","created_at":"2026-05-18T02:42:00Z"},{"alias_kind":"pith_short_12","alias_value":"T5LCWZ5VJW2R","created_at":"2026-05-18T12:28:49Z"},{"alias_kind":"pith_short_16","alias_value":"T5LCWZ5VJW2RGF6I","created_at":"2026-05-18T12:28:49Z"},{"alias_kind":"pith_short_8","alias_value":"T5LCWZ5V","created_at":"2026-05-18T12:28:49Z"}],"graph_snapshots":[{"event_id":"sha256:77f8717ec64ea4eccf90eb7a964fd41a3dc53c5aba2a5c4b9f52f8b9f3059886","target":"graph","created_at":"2026-05-18T02:42:00Z","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":"Study of continuous dynamical system through Poincare map is one of the most popular topics in nonlinear analysis. This is done by taking intersections of the orbit of flow by a hyper-plane parallel to one of the coordinate hyper-planes of co-dimension one. Naturally for a 3D-attractor, the Poincare map gives rise to 2D points, which can describe the dynamics of the attractor properly. In a very special case, sometimes these 2D points are considered as their 1D-projections to obtain a 1D map. However, this is an artificial way of reducing the 2D map by dropping one of the variables. Sometimes ","authors_text":"D K Bhattacharya, Sanjay Kumar Palit, Sayan Mukherjee","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.CD","submitted_at":"2014-09-23T20:14:29Z","title":"Is one dimensional return map sufficient to describe the chaotic dynamics of a three dimensional system?"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1409.6738","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":"sha256:54ce13dbdb8d82643bb8083cef29aac8df21f346dc5c385ab8eb16053b56df19","target":"record","created_at":"2026-05-18T02:42:00Z","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":"95eca24204db5624ba3d6b9bd10074a221ee27974998ca0fd82f1cc26d65b3d3","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.CD","submitted_at":"2014-09-23T20:14:29Z","title_canon_sha256":"1b26a8a175121a1db0459efb5e137c6c8354438075c021d80d0ff18690e22fc8"},"schema_version":"1.0","source":{"id":"1409.6738","kind":"arxiv","version":1}},"canonical_sha256":"9f562b67b54db51317c8830c98f04ddb80ef2a0db26b2af0eefbecfb1dad898c","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"9f562b67b54db51317c8830c98f04ddb80ef2a0db26b2af0eefbecfb1dad898c","first_computed_at":"2026-05-18T02:42:00.519113Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:42:00.519113Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"LIWFO1Ze8GrRufy8B8sRPGhBE7PFRB6Xpy+jTnjzOMNIGU39ANCt+cQI2NMF11J0puBZa+HVAWMo+MKoK2ZCDw==","signature_status":"signed_v1","signed_at":"2026-05-18T02:42:00.519521Z","signed_message":"canonical_sha256_bytes"},"source_id":"1409.6738","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:54ce13dbdb8d82643bb8083cef29aac8df21f346dc5c385ab8eb16053b56df19","sha256:77f8717ec64ea4eccf90eb7a964fd41a3dc53c5aba2a5c4b9f52f8b9f3059886"],"state_sha256":"c96ede9f2f8ac32e1af3aea610035a47f706b91e50dff7f4a0d2b663ccf3fb0e"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"951gVAVm+OviY2oT5IqWLcSYms3H5WojdrOmtuL1ZDQh8B++IwrkDznPd91TESPfGXMkYGeEIgmMnRlBxUk0Bw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-27T15:09:38.903019Z","bundle_sha256":"b9d70ab214712bc57e56faf3ebf1efba9c1a512110a1b860b06d9770b91a9836"}}