{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2025:OTDKUTN4J7J6LOR2ZV7PU27N7A","short_pith_number":"pith:OTDKUTN4","schema_version":"1.0","canonical_sha256":"74c6aa4dbc4fd3e5ba3acd7efa6bedf80f0671a5c228ce40c7f639eb1795e54a","source":{"kind":"arxiv","id":"2506.07825","version":2},"attestation_state":"computed","paper":{"title":"Identifiability in epidemic models with prior immunity and under-reporting","license":"http://creativecommons.org/licenses/by-nc-sa/4.0/","headline":"","cross_cats":[],"primary_cat":"stat.ME","authors_text":"Fanny Bergstr\\\"om, Martina Favero, Tom Britton","submitted_at":"2025-06-09T14:49:36Z","abstract_excerpt":"Identifiability is the property in mathematical modelling that determines if model parameters can be uniquely estimated from data. For infectious disease models, failure to ensure identifiability can lead to misleading parameter estimates and unreliable policy recommendations. We examine the identifiability of a modified SIR model that accounts for under-reporting and pre-existing immunity in the population. We provide a mathematical proof of the unidentifiability of jointly estimating three parameters: the fraction under-reporting, the proportion of the population with prior immunity, and the"},"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":"2506.07825","kind":"arxiv","version":2},"metadata":{"license":"http://creativecommons.org/licenses/by-nc-sa/4.0/","primary_cat":"stat.ME","submitted_at":"2025-06-09T14:49:36Z","cross_cats_sorted":[],"title_canon_sha256":"a96cb4f6c8dc7960fa7c9d4ac39be4ab5cb8e1b927a23a1029cddfae691aedf7","abstract_canon_sha256":"b3b449942ebf942932b87bbe38aeb8c71537794987a5a16f329d3a631752252f"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-06-02T03:04:32.873076Z","signature_b64":"kwiAivnBCGZ00uQQnHWkVPF07pbnJqhnFIbUnfgIGG7UJw1SrlXR0uxklnqzMz7dnZ4SC9tqsls4GTBO/Rs4AQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"74c6aa4dbc4fd3e5ba3acd7efa6bedf80f0671a5c228ce40c7f639eb1795e54a","last_reissued_at":"2026-06-02T03:04:32.872550Z","signature_status":"signed_v1","first_computed_at":"2026-06-02T03:04:32.872550Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Identifiability in epidemic models with prior immunity and under-reporting","license":"http://creativecommons.org/licenses/by-nc-sa/4.0/","headline":"","cross_cats":[],"primary_cat":"stat.ME","authors_text":"Fanny Bergstr\\\"om, Martina Favero, Tom Britton","submitted_at":"2025-06-09T14:49:36Z","abstract_excerpt":"Identifiability is the property in mathematical modelling that determines if model parameters can be uniquely estimated from data. For infectious disease models, failure to ensure identifiability can lead to misleading parameter estimates and unreliable policy recommendations. We examine the identifiability of a modified SIR model that accounts for under-reporting and pre-existing immunity in the population. We provide a mathematical proof of the unidentifiability of jointly estimating three parameters: the fraction under-reporting, the proportion of the population with prior immunity, and the"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2506.07825","kind":"arxiv","version":2},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2506.07825/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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":"2506.07825","created_at":"2026-06-02T03:04:32.872609+00:00"},{"alias_kind":"arxiv_version","alias_value":"2506.07825v2","created_at":"2026-06-02T03:04:32.872609+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2506.07825","created_at":"2026-06-02T03:04:32.872609+00:00"},{"alias_kind":"pith_short_12","alias_value":"OTDKUTN4J7J6","created_at":"2026-06-02T03:04:32.872609+00:00"},{"alias_kind":"pith_short_16","alias_value":"OTDKUTN4J7J6LOR2","created_at":"2026-06-02T03:04:32.872609+00:00"},{"alias_kind":"pith_short_8","alias_value":"OTDKUTN4","created_at":"2026-06-02T03:04:32.872609+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/OTDKUTN4J7J6LOR2ZV7PU27N7A","json":"https://pith.science/pith/OTDKUTN4J7J6LOR2ZV7PU27N7A.json","graph_json":"https://pith.science/api/pith-number/OTDKUTN4J7J6LOR2ZV7PU27N7A/graph.json","events_json":"https://pith.science/api/pith-number/OTDKUTN4J7J6LOR2ZV7PU27N7A/events.json","paper":"https://pith.science/paper/OTDKUTN4"},"agent_actions":{"view_html":"https://pith.science/pith/OTDKUTN4J7J6LOR2ZV7PU27N7A","download_json":"https://pith.science/pith/OTDKUTN4J7J6LOR2ZV7PU27N7A.json","view_paper":"https://pith.science/paper/OTDKUTN4","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2506.07825&json=true","fetch_graph":"https://pith.science/api/pith-number/OTDKUTN4J7J6LOR2ZV7PU27N7A/graph.json","fetch_events":"https://pith.science/api/pith-number/OTDKUTN4J7J6LOR2ZV7PU27N7A/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/OTDKUTN4J7J6LOR2ZV7PU27N7A/action/timestamp_anchor","attest_storage":"https://pith.science/pith/OTDKUTN4J7J6LOR2ZV7PU27N7A/action/storage_attestation","attest_author":"https://pith.science/pith/OTDKUTN4J7J6LOR2ZV7PU27N7A/action/author_attestation","sign_citation":"https://pith.science/pith/OTDKUTN4J7J6LOR2ZV7PU27N7A/action/citation_signature","submit_replication":"https://pith.science/pith/OTDKUTN4J7J6LOR2ZV7PU27N7A/action/replication_record"}},"created_at":"2026-06-02T03:04:32.872609+00:00","updated_at":"2026-06-02T03:04:32.872609+00:00"}