{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2018:QQ5ZHNRXNVBKPZYG5TRPDT4BXC","short_pith_number":"pith:QQ5ZHNRX","canonical_record":{"source":{"id":"1811.02892","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2018-11-07T13:59:56Z","cross_cats_sorted":[],"title_canon_sha256":"9beac32452a7a9213cc84c6bf670287adcd11aa4a1edd76bb9adaf5f4628f76c","abstract_canon_sha256":"30dae668a4ea9268862ca9b8e98101cc8699b3438c5042a23a52544db9dd8eb7"},"schema_version":"1.0"},"canonical_sha256":"843b93b6376d42a7e706ece2f1cf81b8ab9a15d45870eb4bca47dafbf350bddb","source":{"kind":"arxiv","id":"1811.02892","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1811.02892","created_at":"2026-05-18T00:01:20Z"},{"alias_kind":"arxiv_version","alias_value":"1811.02892v1","created_at":"2026-05-18T00:01:20Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1811.02892","created_at":"2026-05-18T00:01:20Z"},{"alias_kind":"pith_short_12","alias_value":"QQ5ZHNRXNVBK","created_at":"2026-05-18T12:32:46Z"},{"alias_kind":"pith_short_16","alias_value":"QQ5ZHNRXNVBKPZYG","created_at":"2026-05-18T12:32:46Z"},{"alias_kind":"pith_short_8","alias_value":"QQ5ZHNRX","created_at":"2026-05-18T12:32:46Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2018:QQ5ZHNRXNVBKPZYG5TRPDT4BXC","target":"record","payload":{"canonical_record":{"source":{"id":"1811.02892","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2018-11-07T13:59:56Z","cross_cats_sorted":[],"title_canon_sha256":"9beac32452a7a9213cc84c6bf670287adcd11aa4a1edd76bb9adaf5f4628f76c","abstract_canon_sha256":"30dae668a4ea9268862ca9b8e98101cc8699b3438c5042a23a52544db9dd8eb7"},"schema_version":"1.0"},"canonical_sha256":"843b93b6376d42a7e706ece2f1cf81b8ab9a15d45870eb4bca47dafbf350bddb","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:01:20.500383Z","signature_b64":"IOaL/TOI7lykCLosQIp4o2tT7BG63U8iIn4ulPhOgB4fccz78ewGedcNK5TIF0dhUVRkWTi2aO4ADR2EUsPMBA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"843b93b6376d42a7e706ece2f1cf81b8ab9a15d45870eb4bca47dafbf350bddb","last_reissued_at":"2026-05-18T00:01:20.499912Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:01:20.499912Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1811.02892","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T00:01:20Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"+Xnk3F25lxf5N0KjScRh505v7VYE2L3mXwJWNpeglFXeJkt0NUgvd68n81HAZfyy5auWEmmKVNEKMwAfxV5QDg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-21T13:03:35.753500Z"},"content_sha256":"e858300cebcb4e61c90100c626593b17a96d8982a76c73683161dc92fa164d06","schema_version":"1.0","event_id":"sha256:e858300cebcb4e61c90100c626593b17a96d8982a76c73683161dc92fa164d06"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2018:QQ5ZHNRXNVBKPZYG5TRPDT4BXC","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"On the existence and uniqueness of an inverse problem in epidemiology","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AP","authors_text":"An\\'ibal Coronel, Ian Hess, Luis Friz, Mar\\'ia Zegarra","submitted_at":"2018-11-07T13:59:56Z","abstract_excerpt":"In this paper we introduce the functional framework and the necessary conditions for the well-posedness of an inverse problem arising in the mathematical modeling of disease transmission. The direct problem is given by an initial boundary value problem for a reaction diffusion system. The inverse problem consists in the determination of the disease and recovery transmission rates from observed measurement of the direct problem solution at the end time. The unknowns of the inverse problem are coefficients of the reaction term. We formulate the inverse problem as an optimization problem for an a"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1811.02892","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"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T00:01:20Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"MOltG7Hg9/kIeLS5UCzGj95toU8pa1N4bQQPXJT9laiAwqnXAvPxrJTn7pLIHLXWyIS/YTzOVZg2uL6UeIGHCg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-21T13:03:35.754062Z"},"content_sha256":"5c9be75bf587a61d48c7b3b19f5c96e7347885916e3dc3bf6955005ccd177d35","schema_version":"1.0","event_id":"sha256:5c9be75bf587a61d48c7b3b19f5c96e7347885916e3dc3bf6955005ccd177d35"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/QQ5ZHNRXNVBKPZYG5TRPDT4BXC/bundle.json","state_url":"https://pith.science/pith/QQ5ZHNRXNVBKPZYG5TRPDT4BXC/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/QQ5ZHNRXNVBKPZYG5TRPDT4BXC/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-06-21T13:03:35Z","links":{"resolver":"https://pith.science/pith/QQ5ZHNRXNVBKPZYG5TRPDT4BXC","bundle":"https://pith.science/pith/QQ5ZHNRXNVBKPZYG5TRPDT4BXC/bundle.json","state":"https://pith.science/pith/QQ5ZHNRXNVBKPZYG5TRPDT4BXC/state.json","well_known_bundle":"https://pith.science/.well-known/pith/QQ5ZHNRXNVBKPZYG5TRPDT4BXC/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:QQ5ZHNRXNVBKPZYG5TRPDT4BXC","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":"30dae668a4ea9268862ca9b8e98101cc8699b3438c5042a23a52544db9dd8eb7","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2018-11-07T13:59:56Z","title_canon_sha256":"9beac32452a7a9213cc84c6bf670287adcd11aa4a1edd76bb9adaf5f4628f76c"},"schema_version":"1.0","source":{"id":"1811.02892","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1811.02892","created_at":"2026-05-18T00:01:20Z"},{"alias_kind":"arxiv_version","alias_value":"1811.02892v1","created_at":"2026-05-18T00:01:20Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1811.02892","created_at":"2026-05-18T00:01:20Z"},{"alias_kind":"pith_short_12","alias_value":"QQ5ZHNRXNVBK","created_at":"2026-05-18T12:32:46Z"},{"alias_kind":"pith_short_16","alias_value":"QQ5ZHNRXNVBKPZYG","created_at":"2026-05-18T12:32:46Z"},{"alias_kind":"pith_short_8","alias_value":"QQ5ZHNRX","created_at":"2026-05-18T12:32:46Z"}],"graph_snapshots":[{"event_id":"sha256:5c9be75bf587a61d48c7b3b19f5c96e7347885916e3dc3bf6955005ccd177d35","target":"graph","created_at":"2026-05-18T00:01:20Z","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":"In this paper we introduce the functional framework and the necessary conditions for the well-posedness of an inverse problem arising in the mathematical modeling of disease transmission. The direct problem is given by an initial boundary value problem for a reaction diffusion system. The inverse problem consists in the determination of the disease and recovery transmission rates from observed measurement of the direct problem solution at the end time. The unknowns of the inverse problem are coefficients of the reaction term. We formulate the inverse problem as an optimization problem for an a","authors_text":"An\\'ibal Coronel, Ian Hess, Luis Friz, Mar\\'ia Zegarra","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2018-11-07T13:59:56Z","title":"On the existence and uniqueness of an inverse problem in epidemiology"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1811.02892","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:e858300cebcb4e61c90100c626593b17a96d8982a76c73683161dc92fa164d06","target":"record","created_at":"2026-05-18T00:01:20Z","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":"30dae668a4ea9268862ca9b8e98101cc8699b3438c5042a23a52544db9dd8eb7","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2018-11-07T13:59:56Z","title_canon_sha256":"9beac32452a7a9213cc84c6bf670287adcd11aa4a1edd76bb9adaf5f4628f76c"},"schema_version":"1.0","source":{"id":"1811.02892","kind":"arxiv","version":1}},"canonical_sha256":"843b93b6376d42a7e706ece2f1cf81b8ab9a15d45870eb4bca47dafbf350bddb","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"843b93b6376d42a7e706ece2f1cf81b8ab9a15d45870eb4bca47dafbf350bddb","first_computed_at":"2026-05-18T00:01:20.499912Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:01:20.499912Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"IOaL/TOI7lykCLosQIp4o2tT7BG63U8iIn4ulPhOgB4fccz78ewGedcNK5TIF0dhUVRkWTi2aO4ADR2EUsPMBA==","signature_status":"signed_v1","signed_at":"2026-05-18T00:01:20.500383Z","signed_message":"canonical_sha256_bytes"},"source_id":"1811.02892","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:e858300cebcb4e61c90100c626593b17a96d8982a76c73683161dc92fa164d06","sha256:5c9be75bf587a61d48c7b3b19f5c96e7347885916e3dc3bf6955005ccd177d35"],"state_sha256":"9609cc737b73c83d4a27f734428c65165ea778b98c41cf253a9844b365ea861f"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Dfeo+huPQPAdxEVTKzBRwq9W/uJfiPBRfgziJJ2XR1+99sn2kPgEktqY6wui/OiDepZyJS67fpLGaNT0eIKHAg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-21T13:03:35.756829Z","bundle_sha256":"c6c6f3eb03253bb0986d367734342a3c031e1d6a054c674bb21fcd9f3bc0c91e"}}