{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2020:EZURLPNIKDUKUPHKAWJMDEV2XA","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":"f43322348906494f874d69e1c0c9139ca2aa20d1b82dc8919d351c5cded493b7","cross_cats_sorted":["cs.SY","math.OC"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"eess.SY","submitted_at":"2020-03-04T19:08:10Z","title_canon_sha256":"dd049e0aa12435c6d0d20d6d1dfa016da9bf12b85b982a06198a42bb6079b0bf"},"schema_version":"1.0","source":{"id":"2003.02292","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2003.02292","created_at":"2026-07-05T00:45:55Z"},{"alias_kind":"arxiv_version","alias_value":"2003.02292v1","created_at":"2026-07-05T00:45:55Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2003.02292","created_at":"2026-07-05T00:45:55Z"},{"alias_kind":"pith_short_12","alias_value":"EZURLPNIKDUK","created_at":"2026-07-05T00:45:55Z"},{"alias_kind":"pith_short_16","alias_value":"EZURLPNIKDUKUPHK","created_at":"2026-07-05T00:45:55Z"},{"alias_kind":"pith_short_8","alias_value":"EZURLPNI","created_at":"2026-07-05T00:45:55Z"}],"graph_snapshots":[{"event_id":"sha256:5a9d15f7be445916ab695720f4eae9874c04bae31977b82dce1dcbfe92ade175","target":"graph","created_at":"2026-07-05T00:45:55Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2003.02292/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"A new numerical method is introduced for calculation of quasi-polynomial zeros with constant single delay. The trajectories of zeros are obtained depending on time-delay from zero to final time-delay value. The method determines all the zeros of the quasi-polynomial in any right half-plane. The approach is used to determine stability analysis of time-delay systems. The method is easy to implement, robust and applicable to quasi-polynomials with high order. The effectiveness of the method is shown on an example.","authors_text":"Suat Gumussoy","cross_cats":["cs.SY","math.OC"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"eess.SY","submitted_at":"2020-03-04T19:08:10Z","title":"On the Zeros of Quasi-Polynomials with Single Delay"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2003.02292","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:eba77c5aa0f813e449476dfd7d3f131e3e039d6afbf12b154dd539be2ba5d846","target":"record","created_at":"2026-07-05T00:45:55Z","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":"f43322348906494f874d69e1c0c9139ca2aa20d1b82dc8919d351c5cded493b7","cross_cats_sorted":["cs.SY","math.OC"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"eess.SY","submitted_at":"2020-03-04T19:08:10Z","title_canon_sha256":"dd049e0aa12435c6d0d20d6d1dfa016da9bf12b85b982a06198a42bb6079b0bf"},"schema_version":"1.0","source":{"id":"2003.02292","kind":"arxiv","version":1}},"canonical_sha256":"266915bda850e8aa3cea0592c192bab82e0b2c00f29bc5d9307d7d1251bf077d","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"266915bda850e8aa3cea0592c192bab82e0b2c00f29bc5d9307d7d1251bf077d","first_computed_at":"2026-07-05T00:45:55.026708Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T00:45:55.026708Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"kOxsDWm/IZVBTdBYLSkFWaBoo865b7EwM9vurwHEseqfDI9bW4xR5ZS8wv/npFqdpSoz1vnQX4byiWtHmZvQBw==","signature_status":"signed_v1","signed_at":"2026-07-05T00:45:55.027172Z","signed_message":"canonical_sha256_bytes"},"source_id":"2003.02292","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:eba77c5aa0f813e449476dfd7d3f131e3e039d6afbf12b154dd539be2ba5d846","sha256:5a9d15f7be445916ab695720f4eae9874c04bae31977b82dce1dcbfe92ade175"],"state_sha256":"1a0853578b8b8dee51e56e8bccaa238047e9d230e2a165b3347f250df4c3408c"}