{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:XTTWWCCFCEX2AHLAAUGEJIS6B4","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":"cd6dccef0e5a03423fc3fdfe8d69f3f506c1d741750c383bcae2e0938ff42e40","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2016-12-16T07:37:15Z","title_canon_sha256":"5605a381d55993e3c0f229064258acee9d948434735f3da0181924d8ef246ee3"},"schema_version":"1.0","source":{"id":"1612.05389","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1612.05389","created_at":"2026-05-18T00:28:07Z"},{"alias_kind":"arxiv_version","alias_value":"1612.05389v3","created_at":"2026-05-18T00:28:07Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1612.05389","created_at":"2026-05-18T00:28:07Z"},{"alias_kind":"pith_short_12","alias_value":"XTTWWCCFCEX2","created_at":"2026-05-18T12:30:51Z"},{"alias_kind":"pith_short_16","alias_value":"XTTWWCCFCEX2AHLA","created_at":"2026-05-18T12:30:51Z"},{"alias_kind":"pith_short_8","alias_value":"XTTWWCCF","created_at":"2026-05-18T12:30:51Z"}],"graph_snapshots":[{"event_id":"sha256:6550668a885ad5cdb5f820727874b2c983f3b7b513c1e2c9c25bba23d945c4b7","target":"graph","created_at":"2026-05-18T00:28:07Z","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":"Necessary and sufficient conditions are given for the asymptotic stability and instability of a two-dimensional incommensurate order autonomous linear system, which consists of a differential equation with a Caputo-type fractional order derivative and a classical first order differential equation. These conditions are expressed in terms of the elements of the system's matrix, as well as of the fractional order of the Caputo derivative. In this setting, we obtain a generalization of the well known Routh-Hurwitz conditions. These theoretical results are then applied to the analysis of a two-dime","authors_text":"Eva Kaslik, Oana Brandibur","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2016-12-16T07:37:15Z","title":"Stability properties of a two-dimensional system involving one Caputo derivative and applications to the investigation of a fractional-order Morris-Lecar neuronal model"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1612.05389","kind":"arxiv","version":3},"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:a15bc85409d3b9a20d38f7769b1ba0efe04f175e129797f443ade5b70a5056a2","target":"record","created_at":"2026-05-18T00:28:07Z","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":"cd6dccef0e5a03423fc3fdfe8d69f3f506c1d741750c383bcae2e0938ff42e40","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2016-12-16T07:37:15Z","title_canon_sha256":"5605a381d55993e3c0f229064258acee9d948434735f3da0181924d8ef246ee3"},"schema_version":"1.0","source":{"id":"1612.05389","kind":"arxiv","version":3}},"canonical_sha256":"bce76b0845112fa01d60050c44a25e0f296a0112958b41a44808a1531aba7970","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"bce76b0845112fa01d60050c44a25e0f296a0112958b41a44808a1531aba7970","first_computed_at":"2026-05-18T00:28:07.164945Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:28:07.164945Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"t5FoVuWFaphvcCAmFqOw6ASyzqRDI8RdGC/L9+rz6mXFO0IM8VcdSFDrmAHi1xbj9TcYbZ+K5aN65sX5//OeAg==","signature_status":"signed_v1","signed_at":"2026-05-18T00:28:07.165635Z","signed_message":"canonical_sha256_bytes"},"source_id":"1612.05389","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:a15bc85409d3b9a20d38f7769b1ba0efe04f175e129797f443ade5b70a5056a2","sha256:6550668a885ad5cdb5f820727874b2c983f3b7b513c1e2c9c25bba23d945c4b7"],"state_sha256":"1d20f16800f551c98657c31f07de54a7e23a5682d627f82f6d4f509103fb58e1"}