{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:D34NEDAGTCOJWCF56POGPDMWYN","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":"3dc5a31d7ad8b38e2a2a6a327fcf1612b6d340c69a86da82bc9c7135cb01e3e0","cross_cats_sorted":["astro-ph.GA","physics.comp-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.IM","submitted_at":"2016-11-24T12:39:59Z","title_canon_sha256":"030368ca6f1b881d3d439d2d22eb956566c2645272d85d5b55d6a19abb5a5ff5"},"schema_version":"1.0","source":{"id":"1611.08165","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1611.08165","created_at":"2026-05-18T00:55:20Z"},{"alias_kind":"arxiv_version","alias_value":"1611.08165v1","created_at":"2026-05-18T00:55:20Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1611.08165","created_at":"2026-05-18T00:55:20Z"},{"alias_kind":"pith_short_12","alias_value":"D34NEDAGTCOJ","created_at":"2026-05-18T12:30:09Z"},{"alias_kind":"pith_short_16","alias_value":"D34NEDAGTCOJWCF5","created_at":"2026-05-18T12:30:09Z"},{"alias_kind":"pith_short_8","alias_value":"D34NEDAG","created_at":"2026-05-18T12:30:09Z"}],"graph_snapshots":[{"event_id":"sha256:319fb768145bd556fae722c0a630bd29fd4e93a8403c439b8468e876031387c9","target":"graph","created_at":"2026-05-18T00:55:20Z","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":"An analytical method for investigation of the evolution of dynamical systems {\\it with independent on time accuracy} is developed for perturbed Hamiltonian systems. The error-free estimation using of computer algebra enables the application of the method to complex multi-dimensional Hamiltonian and dissipative systems. It also opens principal opportunities for the qualitative study of chaotic trajectories. The performance of the method is demonstrated on perturbed two-oscillator systems. It can be applied to various non-linear physical and astrophysical systems, e.g. to the long-term planetary","authors_text":"A.A. Kocharyan, A.V. Gurzadyan","cross_cats":["astro-ph.GA","physics.comp-ph"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.IM","submitted_at":"2016-11-24T12:39:59Z","title":"Evolution of perturbed dynamical systems: analytical computation with time independent accuracy"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1611.08165","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":"sha256:8650f2a39ce5ff55235d5ad8e8ea1f7e204dc50814ebbbe87af3ddf2ae501cef","target":"record","created_at":"2026-05-18T00:55:20Z","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":"3dc5a31d7ad8b38e2a2a6a327fcf1612b6d340c69a86da82bc9c7135cb01e3e0","cross_cats_sorted":["astro-ph.GA","physics.comp-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.IM","submitted_at":"2016-11-24T12:39:59Z","title_canon_sha256":"030368ca6f1b881d3d439d2d22eb956566c2645272d85d5b55d6a19abb5a5ff5"},"schema_version":"1.0","source":{"id":"1611.08165","kind":"arxiv","version":1}},"canonical_sha256":"1ef8d20c06989c9b08bdf3dc678d96c36d0844fc5d77639786d95ee313c1deff","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"1ef8d20c06989c9b08bdf3dc678d96c36d0844fc5d77639786d95ee313c1deff","first_computed_at":"2026-05-18T00:55:20.268180Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:55:20.268180Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"AKmfrZ2AN9XHxch1PVzo+auDs5bVA9bM7/xe9AEKjS8L+zOoOp7OQ+eZYvJfr+VlIU/ka+txcsmlGRKD4VbAAA==","signature_status":"signed_v1","signed_at":"2026-05-18T00:55:20.268863Z","signed_message":"canonical_sha256_bytes"},"source_id":"1611.08165","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:8650f2a39ce5ff55235d5ad8e8ea1f7e204dc50814ebbbe87af3ddf2ae501cef","sha256:319fb768145bd556fae722c0a630bd29fd4e93a8403c439b8468e876031387c9"],"state_sha256":"293854c5c5652ad95f1c3b7e65a42eb900cc969636c8dd2569bb2c9a92ae12a4"}