{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2011:4FIEOAV2JCMDO2YHVEHNVFFIZK","short_pith_number":"pith:4FIEOAV2","canonical_record":{"source":{"id":"1103.2695","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2011-03-14T15:48:52Z","cross_cats_sorted":["cs.MS","cs.NA","math.NA","physics.comp-ph"],"title_canon_sha256":"f5f7f4e9ede99bf9a0450093f6ae2ae239519535cf178fabcfa377668df96970","abstract_canon_sha256":"f30b529872f595801bc55607a956c1cab4cf944b60277597b59e3e4090a52595"},"schema_version":"1.0"},"canonical_sha256":"e1504702ba4898376b07a90eda94a8cab134eea80ad09ec9e9014f891f90386b","source":{"kind":"arxiv","id":"1103.2695","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1103.2695","created_at":"2026-05-18T04:26:54Z"},{"alias_kind":"arxiv_version","alias_value":"1103.2695v1","created_at":"2026-05-18T04:26:54Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1103.2695","created_at":"2026-05-18T04:26:54Z"},{"alias_kind":"pith_short_12","alias_value":"4FIEOAV2JCMD","created_at":"2026-05-18T12:26:20Z"},{"alias_kind":"pith_short_16","alias_value":"4FIEOAV2JCMDO2YH","created_at":"2026-05-18T12:26:20Z"},{"alias_kind":"pith_short_8","alias_value":"4FIEOAV2","created_at":"2026-05-18T12:26:20Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2011:4FIEOAV2JCMDO2YHVEHNVFFIZK","target":"record","payload":{"canonical_record":{"source":{"id":"1103.2695","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2011-03-14T15:48:52Z","cross_cats_sorted":["cs.MS","cs.NA","math.NA","physics.comp-ph"],"title_canon_sha256":"f5f7f4e9ede99bf9a0450093f6ae2ae239519535cf178fabcfa377668df96970","abstract_canon_sha256":"f30b529872f595801bc55607a956c1cab4cf944b60277597b59e3e4090a52595"},"schema_version":"1.0"},"canonical_sha256":"e1504702ba4898376b07a90eda94a8cab134eea80ad09ec9e9014f891f90386b","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:26:54.336225Z","signature_b64":"h8HsYBm06IClGGLzjDySyOHWB7OTb5rWrs2EbrrJZJU0UF+xblcr1PUbVB09HYe4vrolEHttNSDfZqqgggtYCA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"e1504702ba4898376b07a90eda94a8cab134eea80ad09ec9e9014f891f90386b","last_reissued_at":"2026-05-18T04:26:54.335790Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:26:54.335790Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1103.2695","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":"2026-05-18T04:26:54Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"CGWj1Q3rnlN9Owospbmd9PQ6+l0xNMuoV01w/QKI2X5jbRGiFa4Ve1uWPIQAv1KvolMDegs5xMe39RzFak0JAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-27T07:23:17.996836Z"},"content_sha256":"8c07a0cb493a1cfffbe1d097cecbc1d0f5a3739bce3ecb4e6005b537796612cb","schema_version":"1.0","event_id":"sha256:8c07a0cb493a1cfffbe1d097cecbc1d0f5a3739bce3ecb4e6005b537796612cb"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2011:4FIEOAV2JCMDO2YHVEHNVFFIZK","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Software for Generation of Classes of Test Functions with Known Local and Global Minima for Global Optimization","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.MS","cs.NA","math.NA","physics.comp-ph"],"primary_cat":"math.OC","authors_text":"Daniela Lera, Dmitri E. Kvasov, Marco Gaviano, Yaroslav D. Sergeyev","submitted_at":"2011-03-14T15:48:52Z","abstract_excerpt":"A procedure for generating non-differentiable, continuously differentiable, and twice continuously differentiable classes of test functions for multiextremal multidimensional box-constrained global optimization and a corresponding package of C subroutines are presented. Each test class consists of 100 functions. Test functions are generated by defining a convex quadratic function systematically distorted by polynomials in order to introduce local minima. To determine a class, the user defines the following parameters: (i) problem dimension, (ii) number of local minima, (iii) value of the globa"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1103.2695","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":"2026-05-18T04:26:54Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"mP3BERF4UBjr6ErFePgBrEXUg3AohjXUsDz+9A2dBmxKZGoQX//1m38tUKdPhEANxJ9ScBRnDSg2RoCB5mXSBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-27T07:23:17.997572Z"},"content_sha256":"91ff285dfd4d9531092d765e7d634b3d5e4585a2ddd9ad9becc3f5fa7cdaff19","schema_version":"1.0","event_id":"sha256:91ff285dfd4d9531092d765e7d634b3d5e4585a2ddd9ad9becc3f5fa7cdaff19"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/4FIEOAV2JCMDO2YHVEHNVFFIZK/bundle.json","state_url":"https://pith.science/pith/4FIEOAV2JCMDO2YHVEHNVFFIZK/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/4FIEOAV2JCMDO2YHVEHNVFFIZK/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":"2026-05-27T07:23:17Z","links":{"resolver":"https://pith.science/pith/4FIEOAV2JCMDO2YHVEHNVFFIZK","bundle":"https://pith.science/pith/4FIEOAV2JCMDO2YHVEHNVFFIZK/bundle.json","state":"https://pith.science/pith/4FIEOAV2JCMDO2YHVEHNVFFIZK/state.json","well_known_bundle":"https://pith.science/.well-known/pith/4FIEOAV2JCMDO2YHVEHNVFFIZK/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:4FIEOAV2JCMDO2YHVEHNVFFIZK","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":"f30b529872f595801bc55607a956c1cab4cf944b60277597b59e3e4090a52595","cross_cats_sorted":["cs.MS","cs.NA","math.NA","physics.comp-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2011-03-14T15:48:52Z","title_canon_sha256":"f5f7f4e9ede99bf9a0450093f6ae2ae239519535cf178fabcfa377668df96970"},"schema_version":"1.0","source":{"id":"1103.2695","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1103.2695","created_at":"2026-05-18T04:26:54Z"},{"alias_kind":"arxiv_version","alias_value":"1103.2695v1","created_at":"2026-05-18T04:26:54Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1103.2695","created_at":"2026-05-18T04:26:54Z"},{"alias_kind":"pith_short_12","alias_value":"4FIEOAV2JCMD","created_at":"2026-05-18T12:26:20Z"},{"alias_kind":"pith_short_16","alias_value":"4FIEOAV2JCMDO2YH","created_at":"2026-05-18T12:26:20Z"},{"alias_kind":"pith_short_8","alias_value":"4FIEOAV2","created_at":"2026-05-18T12:26:20Z"}],"graph_snapshots":[{"event_id":"sha256:91ff285dfd4d9531092d765e7d634b3d5e4585a2ddd9ad9becc3f5fa7cdaff19","target":"graph","created_at":"2026-05-18T04:26:54Z","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":"A procedure for generating non-differentiable, continuously differentiable, and twice continuously differentiable classes of test functions for multiextremal multidimensional box-constrained global optimization and a corresponding package of C subroutines are presented. Each test class consists of 100 functions. Test functions are generated by defining a convex quadratic function systematically distorted by polynomials in order to introduce local minima. To determine a class, the user defines the following parameters: (i) problem dimension, (ii) number of local minima, (iii) value of the globa","authors_text":"Daniela Lera, Dmitri E. Kvasov, Marco Gaviano, Yaroslav D. Sergeyev","cross_cats":["cs.MS","cs.NA","math.NA","physics.comp-ph"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2011-03-14T15:48:52Z","title":"Software for Generation of Classes of Test Functions with Known Local and Global Minima for Global Optimization"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1103.2695","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":"sha256:8c07a0cb493a1cfffbe1d097cecbc1d0f5a3739bce3ecb4e6005b537796612cb","target":"record","created_at":"2026-05-18T04:26:54Z","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":"f30b529872f595801bc55607a956c1cab4cf944b60277597b59e3e4090a52595","cross_cats_sorted":["cs.MS","cs.NA","math.NA","physics.comp-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2011-03-14T15:48:52Z","title_canon_sha256":"f5f7f4e9ede99bf9a0450093f6ae2ae239519535cf178fabcfa377668df96970"},"schema_version":"1.0","source":{"id":"1103.2695","kind":"arxiv","version":1}},"canonical_sha256":"e1504702ba4898376b07a90eda94a8cab134eea80ad09ec9e9014f891f90386b","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"e1504702ba4898376b07a90eda94a8cab134eea80ad09ec9e9014f891f90386b","first_computed_at":"2026-05-18T04:26:54.335790Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:26:54.335790Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"h8HsYBm06IClGGLzjDySyOHWB7OTb5rWrs2EbrrJZJU0UF+xblcr1PUbVB09HYe4vrolEHttNSDfZqqgggtYCA==","signature_status":"signed_v1","signed_at":"2026-05-18T04:26:54.336225Z","signed_message":"canonical_sha256_bytes"},"source_id":"1103.2695","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:8c07a0cb493a1cfffbe1d097cecbc1d0f5a3739bce3ecb4e6005b537796612cb","sha256:91ff285dfd4d9531092d765e7d634b3d5e4585a2ddd9ad9becc3f5fa7cdaff19"],"state_sha256":"5bdbb5e10ceab6a185e5a7aff8dc13b868bc03fbc6c9205e700a14e0dca1d347"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"7ul+8vOkc7lVDcP15hyk01kcjJAQviXQezuNin27QtQg/yv9RbrsuQUC9pEEOMb5bzxGFD9sxr6+618Ka7wHDw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-27T07:23:18.001157Z","bundle_sha256":"f856c7a5a653da48dceb162b61cc92227158607daa5ac69fae7117f55d5ec765"}}