{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:XHWYVTKVT6E2IUYO7MNOO3TX7J","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":"d66db3ca7eb0456b06e33ec59776afaee1c8d570b5c486b0d7bee98be8ff838f","cross_cats_sorted":["q-bio.TO"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2017-09-26T10:50:16Z","title_canon_sha256":"0950fd073c58eb13aa6f05f60e5583912a83b133cfb66c09c0c73cc70957541f"},"schema_version":"1.0","source":{"id":"1709.08936","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1709.08936","created_at":"2026-05-17T23:57:44Z"},{"alias_kind":"arxiv_version","alias_value":"1709.08936v1","created_at":"2026-05-17T23:57:44Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1709.08936","created_at":"2026-05-17T23:57:44Z"},{"alias_kind":"pith_short_12","alias_value":"XHWYVTKVT6E2","created_at":"2026-05-18T12:31:53Z"},{"alias_kind":"pith_short_16","alias_value":"XHWYVTKVT6E2IUYO","created_at":"2026-05-18T12:31:53Z"},{"alias_kind":"pith_short_8","alias_value":"XHWYVTKV","created_at":"2026-05-18T12:31:53Z"}],"graph_snapshots":[{"event_id":"sha256:372dc49983f77d14bdf92cccd562d26bde8dc9dd7dffa4f6d47329e4b729b029","target":"graph","created_at":"2026-05-17T23:57:44Z","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":"A four-dimensional mathematical model of the hypothalamus-pituitary-adrenal (HPA) axis is investigated, incorporating the influence of the GR concentration and general feedback functions. The inclusion of distributed time delays provides a more realistic modeling approach, since the whole past history of the variables is taken into account. The positivity of the solutions and the existence of a positively invariant bounded region are proved. It is shown that the considered four-dimensional system has at least one equilibrium state and a detailed local stability and Hopf bifurcation analysis is","authors_text":"Eva Kaslik, Mihaela Neamtu","cross_cats":["q-bio.TO"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2017-09-26T10:50:16Z","title":"Stability and Hopf bifurcation analysis of a four-dimensional hypothalamic-pituitary-adrenal axis model with distributed delays"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1709.08936","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":"sha256:0685a2cbe911ecb0eb82024ac049b58b4c319eaa45e7f737c08a607436e080e5","target":"record","created_at":"2026-05-17T23:57:44Z","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":"d66db3ca7eb0456b06e33ec59776afaee1c8d570b5c486b0d7bee98be8ff838f","cross_cats_sorted":["q-bio.TO"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2017-09-26T10:50:16Z","title_canon_sha256":"0950fd073c58eb13aa6f05f60e5583912a83b133cfb66c09c0c73cc70957541f"},"schema_version":"1.0","source":{"id":"1709.08936","kind":"arxiv","version":1}},"canonical_sha256":"b9ed8acd559f89a4530efb1ae76e77fa45dfa673df431b5bad98745716ccf168","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"b9ed8acd559f89a4530efb1ae76e77fa45dfa673df431b5bad98745716ccf168","first_computed_at":"2026-05-17T23:57:44.409405Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:57:44.409405Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"PsoY8Sn+FohVnuXi1eKDH5O0NHUPCVGfMhEddP4JsVzSMnCmYZp6rzt5TyezZ7HfVfaE0limlw1Z2oOGyeStDg==","signature_status":"signed_v1","signed_at":"2026-05-17T23:57:44.409850Z","signed_message":"canonical_sha256_bytes"},"source_id":"1709.08936","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:0685a2cbe911ecb0eb82024ac049b58b4c319eaa45e7f737c08a607436e080e5","sha256:372dc49983f77d14bdf92cccd562d26bde8dc9dd7dffa4f6d47329e4b729b029"],"state_sha256":"bf0dd6bfed64896034d640f7b6de1068337cde62f9326f322033b286f5a218dc"}