{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2025:4EYR3SBLMH6YC2KYC4MNS52IZC","short_pith_number":"pith:4EYR3SBL","canonical_record":{"source":{"id":"2504.05090","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by-nc-sa/4.0/","primary_cat":"math.OC","submitted_at":"2025-04-07T13:59:59Z","cross_cats_sorted":[],"title_canon_sha256":"9db18fd83d0839c7d0e2f7c3fd9096af7f71844b7aed07fdee3de2c1ccc9ce34","abstract_canon_sha256":"f494e318fab9836857c600f1acce70c153d8616e53c3b6e481e127a61102a17e"},"schema_version":"1.0"},"canonical_sha256":"e1311dc82b61fd8169581718d97748c8ac2110b0afdb509a8fd7490e9f551385","source":{"kind":"arxiv","id":"2504.05090","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2504.05090","created_at":"2026-07-05T10:45:33Z"},{"alias_kind":"arxiv_version","alias_value":"2504.05090v1","created_at":"2026-07-05T10:45:33Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2504.05090","created_at":"2026-07-05T10:45:33Z"},{"alias_kind":"pith_short_12","alias_value":"4EYR3SBLMH6Y","created_at":"2026-07-05T10:45:33Z"},{"alias_kind":"pith_short_16","alias_value":"4EYR3SBLMH6YC2KY","created_at":"2026-07-05T10:45:33Z"},{"alias_kind":"pith_short_8","alias_value":"4EYR3SBL","created_at":"2026-07-05T10:45:33Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2025:4EYR3SBLMH6YC2KYC4MNS52IZC","target":"record","payload":{"canonical_record":{"source":{"id":"2504.05090","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by-nc-sa/4.0/","primary_cat":"math.OC","submitted_at":"2025-04-07T13:59:59Z","cross_cats_sorted":[],"title_canon_sha256":"9db18fd83d0839c7d0e2f7c3fd9096af7f71844b7aed07fdee3de2c1ccc9ce34","abstract_canon_sha256":"f494e318fab9836857c600f1acce70c153d8616e53c3b6e481e127a61102a17e"},"schema_version":"1.0"},"canonical_sha256":"e1311dc82b61fd8169581718d97748c8ac2110b0afdb509a8fd7490e9f551385","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T10:45:33.597527Z","signature_b64":"LDss8nKNdsnwO7DFvAUKhiJr2xWS6DE+6UwhBCfokPzf9emQvwR0ArMQKWrsJlRdOWcySKVGLu0NaloXwkCQCg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"e1311dc82b61fd8169581718d97748c8ac2110b0afdb509a8fd7490e9f551385","last_reissued_at":"2026-07-05T10:45:33.596979Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T10:45:33.596979Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2504.05090","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":"2026-07-05T10:45:33Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"BSWOrriOMe4sbLPjdO4g6sFvZ3kvlLKGKkA5v/rRHN1qoJZheFF7M9NABsf18/DxLxkOkHldZ8PLptsGqLtwBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-05T22:33:00.102020Z"},"content_sha256":"1064dbd45a20acd74a98b372047c3f24e55916475cce820df95831a725d95e17","schema_version":"1.0","event_id":"sha256:1064dbd45a20acd74a98b372047c3f24e55916475cce820df95831a725d95e17"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2025:4EYR3SBLMH6YC2KYC4MNS52IZC","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Radial Epiderivative Based Line Search Methods in Nonconvex and Nonsmooth Box-Constrained Optimization","license":"http://creativecommons.org/licenses/by-nc-sa/4.0/","headline":"","cross_cats":[],"primary_cat":"math.OC","authors_text":"Erdener Ozcetin, Gazi Bilal Yildiz, Gulcin Dinc Yalcin, Refail Kasimbeyli","submitted_at":"2025-04-07T13:59:59Z","abstract_excerpt":"In this paper, we develop a novel radial epiderivative-based line search methods for solving nonsmooth and nonconvex box-constrained optimization problems. The rationale for employing the concept of radial epiderivatives is that they provide necessary and sufficient conditions for both identifying global descent directions and achieving global minimum of nonconvex and nondifferentiable functions. These properties of radial epiderivatives are combined with line search methods to develop iterative solution algorithms. The proposed methods generate search directions at each iteration where global"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2504.05090","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2504.05090/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"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-05T10:45:33Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"G1jIUD4+DuJjR+eyDCrL9nwtL7KCWhYXSGnjGC780ccV39cFYyD9W/Rlbu8WXtXMR7lzFlgHtc4sBqVTlJwHBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-05T22:33:00.103011Z"},"content_sha256":"852cb50d055ebaa625f2dbb2bc4d5186e005bfd323e8f3bef048cc1f6112a1d7","schema_version":"1.0","event_id":"sha256:852cb50d055ebaa625f2dbb2bc4d5186e005bfd323e8f3bef048cc1f6112a1d7"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/4EYR3SBLMH6YC2KYC4MNS52IZC/bundle.json","state_url":"https://pith.science/pith/4EYR3SBLMH6YC2KYC4MNS52IZC/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/4EYR3SBLMH6YC2KYC4MNS52IZC/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":"2026-08-05T22:33:00Z","links":{"resolver":"https://pith.science/pith/4EYR3SBLMH6YC2KYC4MNS52IZC","bundle":"https://pith.science/pith/4EYR3SBLMH6YC2KYC4MNS52IZC/bundle.json","state":"https://pith.science/pith/4EYR3SBLMH6YC2KYC4MNS52IZC/state.json","well_known_bundle":"https://pith.science/.well-known/pith/4EYR3SBLMH6YC2KYC4MNS52IZC/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2025:4EYR3SBLMH6YC2KYC4MNS52IZC","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":"f494e318fab9836857c600f1acce70c153d8616e53c3b6e481e127a61102a17e","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by-nc-sa/4.0/","primary_cat":"math.OC","submitted_at":"2025-04-07T13:59:59Z","title_canon_sha256":"9db18fd83d0839c7d0e2f7c3fd9096af7f71844b7aed07fdee3de2c1ccc9ce34"},"schema_version":"1.0","source":{"id":"2504.05090","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2504.05090","created_at":"2026-07-05T10:45:33Z"},{"alias_kind":"arxiv_version","alias_value":"2504.05090v1","created_at":"2026-07-05T10:45:33Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2504.05090","created_at":"2026-07-05T10:45:33Z"},{"alias_kind":"pith_short_12","alias_value":"4EYR3SBLMH6Y","created_at":"2026-07-05T10:45:33Z"},{"alias_kind":"pith_short_16","alias_value":"4EYR3SBLMH6YC2KY","created_at":"2026-07-05T10:45:33Z"},{"alias_kind":"pith_short_8","alias_value":"4EYR3SBL","created_at":"2026-07-05T10:45:33Z"}],"graph_snapshots":[{"event_id":"sha256:852cb50d055ebaa625f2dbb2bc4d5186e005bfd323e8f3bef048cc1f6112a1d7","target":"graph","created_at":"2026-07-05T10:45:33Z","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":[],"endpoint":"/pith/2504.05090/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"In this paper, we develop a novel radial epiderivative-based line search methods for solving nonsmooth and nonconvex box-constrained optimization problems. The rationale for employing the concept of radial epiderivatives is that they provide necessary and sufficient conditions for both identifying global descent directions and achieving global minimum of nonconvex and nondifferentiable functions. These properties of radial epiderivatives are combined with line search methods to develop iterative solution algorithms. The proposed methods generate search directions at each iteration where global","authors_text":"Erdener Ozcetin, Gazi Bilal Yildiz, Gulcin Dinc Yalcin, Refail Kasimbeyli","cross_cats":[],"headline":"","license":"http://creativecommons.org/licenses/by-nc-sa/4.0/","primary_cat":"math.OC","submitted_at":"2025-04-07T13:59:59Z","title":"Radial Epiderivative Based Line Search Methods in Nonconvex and Nonsmooth Box-Constrained Optimization"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2504.05090","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":"sha256:1064dbd45a20acd74a98b372047c3f24e55916475cce820df95831a725d95e17","target":"record","created_at":"2026-07-05T10:45:33Z","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":"f494e318fab9836857c600f1acce70c153d8616e53c3b6e481e127a61102a17e","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by-nc-sa/4.0/","primary_cat":"math.OC","submitted_at":"2025-04-07T13:59:59Z","title_canon_sha256":"9db18fd83d0839c7d0e2f7c3fd9096af7f71844b7aed07fdee3de2c1ccc9ce34"},"schema_version":"1.0","source":{"id":"2504.05090","kind":"arxiv","version":1}},"canonical_sha256":"e1311dc82b61fd8169581718d97748c8ac2110b0afdb509a8fd7490e9f551385","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"e1311dc82b61fd8169581718d97748c8ac2110b0afdb509a8fd7490e9f551385","first_computed_at":"2026-07-05T10:45:33.596979Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T10:45:33.596979Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"LDss8nKNdsnwO7DFvAUKhiJr2xWS6DE+6UwhBCfokPzf9emQvwR0ArMQKWrsJlRdOWcySKVGLu0NaloXwkCQCg==","signature_status":"signed_v1","signed_at":"2026-07-05T10:45:33.597527Z","signed_message":"canonical_sha256_bytes"},"source_id":"2504.05090","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:1064dbd45a20acd74a98b372047c3f24e55916475cce820df95831a725d95e17","sha256:852cb50d055ebaa625f2dbb2bc4d5186e005bfd323e8f3bef048cc1f6112a1d7"],"state_sha256":"8226b5440864f1ff490f92f7b8d9ba17876efde7f70ecf117640246f1293b721"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"MuTgl9rO00pCZtZovffnauUBK4FX6D7vj6/RV9B3CUxGy/wDdKH6vYW5RhueutD0PIhoFhvaktASe+BO5nBJCg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-05T22:33:00.110151Z","bundle_sha256":"04004b31a4bb349f2d47b8665524224dfb94ac1f54458d6afce2bdac64ea2df9"}}