{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:IPRMZRAZH5GNGW3CAXHQLVD4BF","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":"6ffcb8bb9d5d82ebde73aae981a673a0198b2bafa840b964fca16de9296be5e6","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/3.0/","primary_cat":"cs.SY","submitted_at":"2013-11-12T19:52:01Z","title_canon_sha256":"6c723d606ce5cdf2b72145690d1d0d7f4538e7b899c4d7851373e46ae8a69773"},"schema_version":"1.0","source":{"id":"1311.2897","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1311.2897","created_at":"2026-05-18T00:57:52Z"},{"alias_kind":"arxiv_version","alias_value":"1311.2897v1","created_at":"2026-05-18T00:57:52Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1311.2897","created_at":"2026-05-18T00:57:52Z"},{"alias_kind":"pith_short_12","alias_value":"IPRMZRAZH5GN","created_at":"2026-05-18T12:27:46Z"},{"alias_kind":"pith_short_16","alias_value":"IPRMZRAZH5GNGW3C","created_at":"2026-05-18T12:27:46Z"},{"alias_kind":"pith_short_8","alias_value":"IPRMZRAZ","created_at":"2026-05-18T12:27:46Z"}],"graph_snapshots":[{"event_id":"sha256:86c63cd3978f8d7f712b7118bfc98156e81cc6045d95a8d1d8d631f8cfa2a6c8","target":"graph","created_at":"2026-05-18T00:57:52Z","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":"While the asymptotic stability of positive linear systems in the presence of bounded time delays has been thoroughly investigated, the theory for nonlinear positive systems is considerably less well-developed. This paper presents a set of conditions for establishing delay-independent stability and bounding the decay rate of a significant class of nonlinear positive systems which includes positive linear systems as a special case. Specifically, when the time delays have a known upper bound, we derive necessary and sufficient conditions for exponential stability of (a) continuous-time positive s","authors_text":"Hamid Reza Feyzmahdavian, Mikael Johansson, Themistoklis Charalambous","cross_cats":[],"headline":"","license":"http://creativecommons.org/licenses/by/3.0/","primary_cat":"cs.SY","submitted_at":"2013-11-12T19:52:01Z","title":"Exponential Stability of Homogeneous Positive Systems of Degree One With Time-Varying Delays"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1311.2897","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:e2f3fb106f96d1cd33f99344869dd74d22a18395815f408de6a0b38a3c42eec6","target":"record","created_at":"2026-05-18T00:57:52Z","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":"6ffcb8bb9d5d82ebde73aae981a673a0198b2bafa840b964fca16de9296be5e6","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/3.0/","primary_cat":"cs.SY","submitted_at":"2013-11-12T19:52:01Z","title_canon_sha256":"6c723d606ce5cdf2b72145690d1d0d7f4538e7b899c4d7851373e46ae8a69773"},"schema_version":"1.0","source":{"id":"1311.2897","kind":"arxiv","version":1}},"canonical_sha256":"43e2ccc4193f4cd35b6205cf05d47c095f80e13b39484c63d373cd5807380934","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"43e2ccc4193f4cd35b6205cf05d47c095f80e13b39484c63d373cd5807380934","first_computed_at":"2026-05-18T00:57:52.551957Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:57:52.551957Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"hSQ0ncdoN5lXeHsG94ef9iOW+2gAeFcxZvoNLheBk7wUb15FRAZI1YPT+K8yD7fWL5YjDC/WkLcVkv0j5T93Cg==","signature_status":"signed_v1","signed_at":"2026-05-18T00:57:52.552604Z","signed_message":"canonical_sha256_bytes"},"source_id":"1311.2897","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:e2f3fb106f96d1cd33f99344869dd74d22a18395815f408de6a0b38a3c42eec6","sha256:86c63cd3978f8d7f712b7118bfc98156e81cc6045d95a8d1d8d631f8cfa2a6c8"],"state_sha256":"8b6a65c8662eb83f47866d7ba6fdbd4fdedfd0064b2cd7c57789ca828c27886e"}