{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2014:4CXHZYTDDHN4332J6OBN3RMI24","short_pith_number":"pith:4CXHZYTD","canonical_record":{"source":{"id":"1406.3811","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2014-06-15T12:33:35Z","cross_cats_sorted":[],"title_canon_sha256":"5101cfadcff67b6e5a3cfd8261d284b4627eb3c4687eebfd12fd7af8b3c6ecf0","abstract_canon_sha256":"5fad8e59f9e20613388db20a80372a66da2f73cf772202c843a9275059bc6048"},"schema_version":"1.0"},"canonical_sha256":"e0ae7ce26319dbcdef49f382ddc588d722b541a724d32ea1b602ef9166106c27","source":{"kind":"arxiv","id":"1406.3811","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1406.3811","created_at":"2026-05-18T01:09:49Z"},{"alias_kind":"arxiv_version","alias_value":"1406.3811v3","created_at":"2026-05-18T01:09:49Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1406.3811","created_at":"2026-05-18T01:09:49Z"},{"alias_kind":"pith_short_12","alias_value":"4CXHZYTDDHN4","created_at":"2026-05-18T12:28:14Z"},{"alias_kind":"pith_short_16","alias_value":"4CXHZYTDDHN4332J","created_at":"2026-05-18T12:28:14Z"},{"alias_kind":"pith_short_8","alias_value":"4CXHZYTD","created_at":"2026-05-18T12:28:14Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2014:4CXHZYTDDHN4332J6OBN3RMI24","target":"record","payload":{"canonical_record":{"source":{"id":"1406.3811","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2014-06-15T12:33:35Z","cross_cats_sorted":[],"title_canon_sha256":"5101cfadcff67b6e5a3cfd8261d284b4627eb3c4687eebfd12fd7af8b3c6ecf0","abstract_canon_sha256":"5fad8e59f9e20613388db20a80372a66da2f73cf772202c843a9275059bc6048"},"schema_version":"1.0"},"canonical_sha256":"e0ae7ce26319dbcdef49f382ddc588d722b541a724d32ea1b602ef9166106c27","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:09:49.816075Z","signature_b64":"JtIJsj87TsW9HXALoFI0MCEYkcBUz+RqZNrZXWC2iyLBvKjpprpyMNsTagsxDwSaimAsQbnIGHECVv3EpHRWBw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"e0ae7ce26319dbcdef49f382ddc588d722b541a724d32ea1b602ef9166106c27","last_reissued_at":"2026-05-18T01:09:49.815403Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:09:49.815403Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1406.3811","source_version":3,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T01:09:49Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"T7sOgLe2KAi7Wk7hTHtNhX3W2uCJNETi3YUv4lRaBPR8kmNd/Lkyo7g8/bcoRyD5uCskxgjP2RTYdMl94jOACA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-30T14:07:44.678884Z"},"content_sha256":"d519225895960b38eba3e90e85a98f4f0ac380cca67916901f69973093b375da","schema_version":"1.0","event_id":"sha256:d519225895960b38eba3e90e85a98f4f0ac380cca67916901f69973093b375da"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2014:4CXHZYTDDHN4332J6OBN3RMI24","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Optimal control of anthracnose using mixed strategies","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.OC","authors_text":"Christopher Thron, David Jaur\\`es Fotsa Mbogne","submitted_at":"2014-06-15T12:33:35Z","abstract_excerpt":"In this paper we propose and study a spatial diffusion model for the control of anthracnose disease in a bounded domain. The model is a generalization of the one previously developed in [14]. We use the model to simulate two different types of control strategies against anthracnose disease. Strategies that employ chemical fungicides are modeled using a continuous control function; while strategies that rely on cultivational practices (such as pruning and removal of mummified fruits) are modeled with a control function which is discrete in time (though not in space). Under weak smoothness condi"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1406.3811","kind":"arxiv","version":3},"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":"2026-05-18T01:09:49Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"aD2/V2HA72ER4u+hxP6isUabBRxyZn7Rfe3smbFuULueYlN/3zfPiWhYz98K0C3TMWoyKLlJbpOVynA5AWv3Dg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-30T14:07:44.679229Z"},"content_sha256":"db09a29b94d2a4275087544ce54b9f03cecdbd2e7f80b42e1b55f6991e2f8a9f","schema_version":"1.0","event_id":"sha256:db09a29b94d2a4275087544ce54b9f03cecdbd2e7f80b42e1b55f6991e2f8a9f"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/4CXHZYTDDHN4332J6OBN3RMI24/bundle.json","state_url":"https://pith.science/pith/4CXHZYTDDHN4332J6OBN3RMI24/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/4CXHZYTDDHN4332J6OBN3RMI24/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":"2026-06-30T14:07:44Z","links":{"resolver":"https://pith.science/pith/4CXHZYTDDHN4332J6OBN3RMI24","bundle":"https://pith.science/pith/4CXHZYTDDHN4332J6OBN3RMI24/bundle.json","state":"https://pith.science/pith/4CXHZYTDDHN4332J6OBN3RMI24/state.json","well_known_bundle":"https://pith.science/.well-known/pith/4CXHZYTDDHN4332J6OBN3RMI24/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:4CXHZYTDDHN4332J6OBN3RMI24","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":"5fad8e59f9e20613388db20a80372a66da2f73cf772202c843a9275059bc6048","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2014-06-15T12:33:35Z","title_canon_sha256":"5101cfadcff67b6e5a3cfd8261d284b4627eb3c4687eebfd12fd7af8b3c6ecf0"},"schema_version":"1.0","source":{"id":"1406.3811","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1406.3811","created_at":"2026-05-18T01:09:49Z"},{"alias_kind":"arxiv_version","alias_value":"1406.3811v3","created_at":"2026-05-18T01:09:49Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1406.3811","created_at":"2026-05-18T01:09:49Z"},{"alias_kind":"pith_short_12","alias_value":"4CXHZYTDDHN4","created_at":"2026-05-18T12:28:14Z"},{"alias_kind":"pith_short_16","alias_value":"4CXHZYTDDHN4332J","created_at":"2026-05-18T12:28:14Z"},{"alias_kind":"pith_short_8","alias_value":"4CXHZYTD","created_at":"2026-05-18T12:28:14Z"}],"graph_snapshots":[{"event_id":"sha256:db09a29b94d2a4275087544ce54b9f03cecdbd2e7f80b42e1b55f6991e2f8a9f","target":"graph","created_at":"2026-05-18T01:09:49Z","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 propose and study a spatial diffusion model for the control of anthracnose disease in a bounded domain. The model is a generalization of the one previously developed in [14]. We use the model to simulate two different types of control strategies against anthracnose disease. Strategies that employ chemical fungicides are modeled using a continuous control function; while strategies that rely on cultivational practices (such as pruning and removal of mummified fruits) are modeled with a control function which is discrete in time (though not in space). Under weak smoothness condi","authors_text":"Christopher Thron, David Jaur\\`es Fotsa Mbogne","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2014-06-15T12:33:35Z","title":"Optimal control of anthracnose using mixed strategies"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1406.3811","kind":"arxiv","version":3},"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:d519225895960b38eba3e90e85a98f4f0ac380cca67916901f69973093b375da","target":"record","created_at":"2026-05-18T01:09:49Z","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":"5fad8e59f9e20613388db20a80372a66da2f73cf772202c843a9275059bc6048","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2014-06-15T12:33:35Z","title_canon_sha256":"5101cfadcff67b6e5a3cfd8261d284b4627eb3c4687eebfd12fd7af8b3c6ecf0"},"schema_version":"1.0","source":{"id":"1406.3811","kind":"arxiv","version":3}},"canonical_sha256":"e0ae7ce26319dbcdef49f382ddc588d722b541a724d32ea1b602ef9166106c27","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"e0ae7ce26319dbcdef49f382ddc588d722b541a724d32ea1b602ef9166106c27","first_computed_at":"2026-05-18T01:09:49.815403Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:09:49.815403Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"JtIJsj87TsW9HXALoFI0MCEYkcBUz+RqZNrZXWC2iyLBvKjpprpyMNsTagsxDwSaimAsQbnIGHECVv3EpHRWBw==","signature_status":"signed_v1","signed_at":"2026-05-18T01:09:49.816075Z","signed_message":"canonical_sha256_bytes"},"source_id":"1406.3811","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:d519225895960b38eba3e90e85a98f4f0ac380cca67916901f69973093b375da","sha256:db09a29b94d2a4275087544ce54b9f03cecdbd2e7f80b42e1b55f6991e2f8a9f"],"state_sha256":"be69c3d7eacead6fdb0261d4ffa92af55a93f3cfba4db147b02561b74524a60b"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"aFQogEiRBZea+sU9g66ovCpAd6lFBnTORHDKv2spkdIFfcmLNUGVA9WYRK7YQxykFLKy6A6q5ykEfHujzBhJCQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-30T14:07:44.681100Z","bundle_sha256":"dbbf2b286fccf83f568a58d77619cb03774342e09fe927cdda1165fed74b4a67"}}