{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2026:JLLIFXJQDUODUAZEDU3CHA5K6A","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":"7f9b4c42fd7ab66d67af82f4b4a04502b3e67148c541f3c39c18072fbefb9385","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2026-05-18T11:55:06Z","title_canon_sha256":"92010a356c2fc81bdaf2e2a0e3e44e58e7c0a940140870160d8c50fe7f74188d"},"schema_version":"1.0","source":{"id":"2605.18256","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2605.18256","created_at":"2026-05-20T00:05:52Z"},{"alias_kind":"arxiv_version","alias_value":"2605.18256v1","created_at":"2026-05-20T00:05:52Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2605.18256","created_at":"2026-05-20T00:05:52Z"},{"alias_kind":"pith_short_12","alias_value":"JLLIFXJQDUOD","created_at":"2026-05-20T00:05:52Z"},{"alias_kind":"pith_short_16","alias_value":"JLLIFXJQDUODUAZE","created_at":"2026-05-20T00:05:52Z"},{"alias_kind":"pith_short_8","alias_value":"JLLIFXJQ","created_at":"2026-05-20T00:05:52Z"}],"graph_snapshots":[{"event_id":"sha256:ad8fb87ec198f298c7b19637b85cf452903d469f845ad224dde596d2b5f8bed8","target":"graph","created_at":"2026-05-20T00:05:52Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[{"findings_count":0,"name":"ai_meta_artifact","ran_at":"2026-05-19T23:33:35.263337Z","status":"skipped","version":"1.0.0"},{"findings_count":0,"name":"claim_evidence","ran_at":"2026-05-19T23:21:58.983474Z","status":"completed","version":"1.0.0"}],"endpoint":"/pith/2605.18256/integrity.json","findings":[],"snapshot_sha256":"492aaba1f6b07a6e0771bd5f088b3a4cfa896388faad16e4783ee3de89d1458a","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We study an optimal control problem where the objective is to find the best vaccine allocation during an epidemic outbreak. The epidemic dynamics is described by an age-structured SIR model with nonlocal interactions. Both the infection and death rates depend on the age of the individuals, reflecting the effect of heterogeneities within the population. Our model includes a vaccination term, depending on time and age, which serves as a control function. The aim is to minimize the impact of the epidemic, that is, the number of casualties, under the constraint of limited vaccine supply. In a firs","authors_text":"Elisa Paparelli (SU), Lu\\'is Almeida (SU), Romain Ducasse (UPCit\\'e)","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2026-05-18T11:55:06Z","title":"Optimizing vaccine allocation in an age-structured SIR model"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2605.18256","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":"sha256:61837017f3bfe51bf0131d5f60008375ced6032bba9691a5187224baf56fde38","target":"record","created_at":"2026-05-20T00:05:52Z","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":"7f9b4c42fd7ab66d67af82f4b4a04502b3e67148c541f3c39c18072fbefb9385","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2026-05-18T11:55:06Z","title_canon_sha256":"92010a356c2fc81bdaf2e2a0e3e44e58e7c0a940140870160d8c50fe7f74188d"},"schema_version":"1.0","source":{"id":"2605.18256","kind":"arxiv","version":1}},"canonical_sha256":"4ad682dd301d1c3a03241d362383aaf010c97790eab8330b9ec1a6fb5dfb61ae","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"4ad682dd301d1c3a03241d362383aaf010c97790eab8330b9ec1a6fb5dfb61ae","first_computed_at":"2026-05-20T00:05:52.391322Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-20T00:05:52.391322Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"QSuJ90Btr8fDYx1mXpIOuHDnvyJ83a+WGA+k0v9ImHHygBfsIEF/de8qBVoYb4vdxftWQCEh/YchrDD5uNLkCg==","signature_status":"signed_v1","signed_at":"2026-05-20T00:05:52.391758Z","signed_message":"canonical_sha256_bytes"},"source_id":"2605.18256","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:61837017f3bfe51bf0131d5f60008375ced6032bba9691a5187224baf56fde38","sha256:ad8fb87ec198f298c7b19637b85cf452903d469f845ad224dde596d2b5f8bed8"],"state_sha256":"675a65e69fe5020013c6d5201472a2d7e177edce3535f9fe29651215e859aea8"}