{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:CNURZL5DLUP5M44ALCO4FNHF3A","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":"80cc172146545706ee3e4cc4fa61c1f98956697b758f932affc21bbdc42f8931","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2012-08-30T18:23:38Z","title_canon_sha256":"992faba9c47b100b2880418d6fbaedf5b64bb06b8847c4a357d6e67d5eb4d8d3"},"schema_version":"1.0","source":{"id":"1208.6252","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1208.6252","created_at":"2026-05-18T02:35:52Z"},{"alias_kind":"arxiv_version","alias_value":"1208.6252v2","created_at":"2026-05-18T02:35:52Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1208.6252","created_at":"2026-05-18T02:35:52Z"},{"alias_kind":"pith_short_12","alias_value":"CNURZL5DLUP5","created_at":"2026-05-18T12:27:01Z"},{"alias_kind":"pith_short_16","alias_value":"CNURZL5DLUP5M44A","created_at":"2026-05-18T12:27:01Z"},{"alias_kind":"pith_short_8","alias_value":"CNURZL5D","created_at":"2026-05-18T12:27:01Z"}],"graph_snapshots":[{"event_id":"sha256:b56123754669dd0dc33fdb85cc0fe21f68dfbc806d2007c202e51a0eb2bd63cc","target":"graph","created_at":"2026-05-18T02:35:52Z","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":"In this paper we continue the description of the possibilities to use numerical simulations for mathematically rigorous computer assisted analysis of integrability of dynamical systems. We sketch some of the algebraic methods of studying the integrability and present a constructive algorithm issued from the Ziglin's approach. We provide some examples of successful applications of the constructed algorithm to physical systems.","authors_text":"Vladimir Salnikov","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2012-08-30T18:23:38Z","title":"Effective algorithm of analysis of integrability via the Ziglin's method"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1208.6252","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:af845db1e34619f0a49d6b34d401fcf299175cf6f354aa73cf5882bb1b789475","target":"record","created_at":"2026-05-18T02:35:52Z","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":"80cc172146545706ee3e4cc4fa61c1f98956697b758f932affc21bbdc42f8931","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2012-08-30T18:23:38Z","title_canon_sha256":"992faba9c47b100b2880418d6fbaedf5b64bb06b8847c4a357d6e67d5eb4d8d3"},"schema_version":"1.0","source":{"id":"1208.6252","kind":"arxiv","version":2}},"canonical_sha256":"13691cafa35d1fd67380589dc2b4e5d81e772f076303f1fe4f37ce7a90773ef8","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"13691cafa35d1fd67380589dc2b4e5d81e772f076303f1fe4f37ce7a90773ef8","first_computed_at":"2026-05-18T02:35:52.644010Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:35:52.644010Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"0ZEuTCnKKXwaZfpBq9FXilCcDNQPMCim0bkRXKNGv/92jt52G26nJNLgml9gbyDihVb7a78e6aAQkOPP8PIOBQ==","signature_status":"signed_v1","signed_at":"2026-05-18T02:35:52.644502Z","signed_message":"canonical_sha256_bytes"},"source_id":"1208.6252","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:af845db1e34619f0a49d6b34d401fcf299175cf6f354aa73cf5882bb1b789475","sha256:b56123754669dd0dc33fdb85cc0fe21f68dfbc806d2007c202e51a0eb2bd63cc"],"state_sha256":"96c0573bc61677f51123ee6d72b72e02f62f3e1955ea925d600752d2017fa4b5"}