{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2016:Z7UOJNUJLUCC3MKTAP5QQRJ5P6","short_pith_number":"pith:Z7UOJNUJ","schema_version":"1.0","canonical_sha256":"cfe8e4b6895d042db15303fb08453d7f81075a3ce782b9e24cbf8b091870e92f","source":{"kind":"arxiv","id":"1610.08609","version":1},"attestation_state":"computed","paper":{"title":"Systems of Delay Differential Equations: Analysis of a model with feedback","license":"http://creativecommons.org/licenses/by-sa/4.0/","headline":"","cross_cats":[],"primary_cat":"math.DS","authors_text":"Carlos Alliera, Pablo Amster","submitted_at":"2016-10-27T04:10:29Z","abstract_excerpt":"Self-regulatory models are common in nature, as described e.g. in (\\cite{mur}), (\\cite{ha}) and (\\cite{Gb}).\\\\ Let us consider a system made up of a number of glands as a motivation. Each gland secretes a hormone that allows secretion in the {next} gland, which successively generates another hormone to stimulate the next one and so on. In the end, a final hormone is released which, by increasing its concentration, will inhibit the secretion of previous hormones that allowed the production process. This generates the decay of this hormone to a minimum threshold that re-activates the cycle again"},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"1610.08609","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by-sa/4.0/","primary_cat":"math.DS","submitted_at":"2016-10-27T04:10:29Z","cross_cats_sorted":[],"title_canon_sha256":"6add21e23aa7a950e68315919e7ba6b263f38cee0ef82e4fd8a82c242b52299f","abstract_canon_sha256":"8fdbb8fe0e427c301bf064b5d6c6b8d6a1dabed1b4d0e3b0209c6d663410d6a6"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:01:07.751002Z","signature_b64":"Da/5BLFd4Jfq5x8mx/4MO3M0vmn8hIBYhi7HjirGR53Xig8uzSdlNqdQnDsVQbTe/9+/nMeFN1g7MNvibkd9Aw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"cfe8e4b6895d042db15303fb08453d7f81075a3ce782b9e24cbf8b091870e92f","last_reissued_at":"2026-05-18T01:01:07.750406Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:01:07.750406Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Systems of Delay Differential Equations: Analysis of a model with feedback","license":"http://creativecommons.org/licenses/by-sa/4.0/","headline":"","cross_cats":[],"primary_cat":"math.DS","authors_text":"Carlos Alliera, Pablo Amster","submitted_at":"2016-10-27T04:10:29Z","abstract_excerpt":"Self-regulatory models are common in nature, as described e.g. in (\\cite{mur}), (\\cite{ha}) and (\\cite{Gb}).\\\\ Let us consider a system made up of a number of glands as a motivation. Each gland secretes a hormone that allows secretion in the {next} gland, which successively generates another hormone to stimulate the next one and so on. In the end, a final hormone is released which, by increasing its concentration, will inhibit the secretion of previous hormones that allowed the production process. This generates the decay of this hormone to a minimum threshold that re-activates the cycle again"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1610.08609","kind":"arxiv","version":1},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"},"aliases":[{"alias_kind":"arxiv","alias_value":"1610.08609","created_at":"2026-05-18T01:01:07.750509+00:00"},{"alias_kind":"arxiv_version","alias_value":"1610.08609v1","created_at":"2026-05-18T01:01:07.750509+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1610.08609","created_at":"2026-05-18T01:01:07.750509+00:00"},{"alias_kind":"pith_short_12","alias_value":"Z7UOJNUJLUCC","created_at":"2026-05-18T12:30:53.716459+00:00"},{"alias_kind":"pith_short_16","alias_value":"Z7UOJNUJLUCC3MKT","created_at":"2026-05-18T12:30:53.716459+00:00"},{"alias_kind":"pith_short_8","alias_value":"Z7UOJNUJ","created_at":"2026-05-18T12:30:53.716459+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/Z7UOJNUJLUCC3MKTAP5QQRJ5P6","json":"https://pith.science/pith/Z7UOJNUJLUCC3MKTAP5QQRJ5P6.json","graph_json":"https://pith.science/api/pith-number/Z7UOJNUJLUCC3MKTAP5QQRJ5P6/graph.json","events_json":"https://pith.science/api/pith-number/Z7UOJNUJLUCC3MKTAP5QQRJ5P6/events.json","paper":"https://pith.science/paper/Z7UOJNUJ"},"agent_actions":{"view_html":"https://pith.science/pith/Z7UOJNUJLUCC3MKTAP5QQRJ5P6","download_json":"https://pith.science/pith/Z7UOJNUJLUCC3MKTAP5QQRJ5P6.json","view_paper":"https://pith.science/paper/Z7UOJNUJ","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1610.08609&json=true","fetch_graph":"https://pith.science/api/pith-number/Z7UOJNUJLUCC3MKTAP5QQRJ5P6/graph.json","fetch_events":"https://pith.science/api/pith-number/Z7UOJNUJLUCC3MKTAP5QQRJ5P6/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/Z7UOJNUJLUCC3MKTAP5QQRJ5P6/action/timestamp_anchor","attest_storage":"https://pith.science/pith/Z7UOJNUJLUCC3MKTAP5QQRJ5P6/action/storage_attestation","attest_author":"https://pith.science/pith/Z7UOJNUJLUCC3MKTAP5QQRJ5P6/action/author_attestation","sign_citation":"https://pith.science/pith/Z7UOJNUJLUCC3MKTAP5QQRJ5P6/action/citation_signature","submit_replication":"https://pith.science/pith/Z7UOJNUJLUCC3MKTAP5QQRJ5P6/action/replication_record"}},"created_at":"2026-05-18T01:01:07.750509+00:00","updated_at":"2026-05-18T01:01:07.750509+00:00"}