{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2012:WO3D7CRBGKKOC6NSCQDSUSRLYF","short_pith_number":"pith:WO3D7CRB","canonical_record":{"source":{"id":"1209.2084","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2012-09-10T18:30:02Z","cross_cats_sorted":[],"title_canon_sha256":"4270e85bb3ade01905b5ddd05b3a35b256420fa778ccef90d2ab0712d90fafd0","abstract_canon_sha256":"40fd17ea3cb9d70d0ef39d94d40a4bea5a100ed44eeab93d2676bd61477d150d"},"schema_version":"1.0"},"canonical_sha256":"b3b63f8a213294e179b214072a4a2bc1765bacf3d37baf74218ab06689fad12d","source":{"kind":"arxiv","id":"1209.2084","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1209.2084","created_at":"2026-05-18T01:54:37Z"},{"alias_kind":"arxiv_version","alias_value":"1209.2084v2","created_at":"2026-05-18T01:54:37Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1209.2084","created_at":"2026-05-18T01:54:37Z"},{"alias_kind":"pith_short_12","alias_value":"WO3D7CRBGKKO","created_at":"2026-05-18T12:27:25Z"},{"alias_kind":"pith_short_16","alias_value":"WO3D7CRBGKKOC6NS","created_at":"2026-05-18T12:27:25Z"},{"alias_kind":"pith_short_8","alias_value":"WO3D7CRB","created_at":"2026-05-18T12:27:25Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2012:WO3D7CRBGKKOC6NSCQDSUSRLYF","target":"record","payload":{"canonical_record":{"source":{"id":"1209.2084","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2012-09-10T18:30:02Z","cross_cats_sorted":[],"title_canon_sha256":"4270e85bb3ade01905b5ddd05b3a35b256420fa778ccef90d2ab0712d90fafd0","abstract_canon_sha256":"40fd17ea3cb9d70d0ef39d94d40a4bea5a100ed44eeab93d2676bd61477d150d"},"schema_version":"1.0"},"canonical_sha256":"b3b63f8a213294e179b214072a4a2bc1765bacf3d37baf74218ab06689fad12d","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:54:37.501244Z","signature_b64":"YTbze9PPwuFxxXkY54mFHllarB62YBGEosQy27/kfRWDYe1wHOBL49l0XfmqvMwunhshw+HXz4G008TrN2bIDQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"b3b63f8a213294e179b214072a4a2bc1765bacf3d37baf74218ab06689fad12d","last_reissued_at":"2026-05-18T01:54:37.500597Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:54:37.500597Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1209.2084","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T01:54:37Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"XIAQByHBoe31q2l0djXmAPBDbVkaAQOmBsNv5NZqqKMYKfLInHYV+25y0TitjvnRPzxybgAXE2PjbNG9+dI+AA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-26T01:14:21.719878Z"},"content_sha256":"cd7edcad1ec1650f8a71ae805317d6703f2933f1e847cb8154de882098de154d","schema_version":"1.0","event_id":"sha256:cd7edcad1ec1650f8a71ae805317d6703f2933f1e847cb8154de882098de154d"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2012:WO3D7CRBGKKOC6NSCQDSUSRLYF","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"The q-gradient method for global optimization","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.OC","authors_text":"Aline C. Soterroni, Fernando M. Ramos, Roberto L. Galski","submitted_at":"2012-09-10T18:30:02Z","abstract_excerpt":"The q-gradient is an extension of the classical gradient vector based on the concept of Jackson's derivative. Here we introduce a preliminary version of the q-gradient method for unconstrained global optimization. The main idea behind our approach is the use of the negative of the q-gradient of the objective function as the search direction. In this sense, the method here proposed is a generalization of the well-known steepest descent method. The use of Jackson's derivative has shown to be an effective mechanism for escaping from local minima. The q-gradient method is complemented with strateg"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1209.2084","kind":"arxiv","version":2},"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":"2026-05-18T01:54:37Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"/LFPJa5uEzj+Wr2aWkWesT6H29Ux/xBGHR0y34cUlRaQ9Hvah47qVu/fboEqVSbBRlPucDuj2QIQDZmOU03hAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-26T01:14:21.720234Z"},"content_sha256":"a8279d9f25ac926c4252b5f6ca4c1116015548878858c076906ff675cc3d42dd","schema_version":"1.0","event_id":"sha256:a8279d9f25ac926c4252b5f6ca4c1116015548878858c076906ff675cc3d42dd"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/WO3D7CRBGKKOC6NSCQDSUSRLYF/bundle.json","state_url":"https://pith.science/pith/WO3D7CRBGKKOC6NSCQDSUSRLYF/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/WO3D7CRBGKKOC6NSCQDSUSRLYF/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":"2026-06-26T01:14:21Z","links":{"resolver":"https://pith.science/pith/WO3D7CRBGKKOC6NSCQDSUSRLYF","bundle":"https://pith.science/pith/WO3D7CRBGKKOC6NSCQDSUSRLYF/bundle.json","state":"https://pith.science/pith/WO3D7CRBGKKOC6NSCQDSUSRLYF/state.json","well_known_bundle":"https://pith.science/.well-known/pith/WO3D7CRBGKKOC6NSCQDSUSRLYF/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:WO3D7CRBGKKOC6NSCQDSUSRLYF","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":"40fd17ea3cb9d70d0ef39d94d40a4bea5a100ed44eeab93d2676bd61477d150d","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2012-09-10T18:30:02Z","title_canon_sha256":"4270e85bb3ade01905b5ddd05b3a35b256420fa778ccef90d2ab0712d90fafd0"},"schema_version":"1.0","source":{"id":"1209.2084","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1209.2084","created_at":"2026-05-18T01:54:37Z"},{"alias_kind":"arxiv_version","alias_value":"1209.2084v2","created_at":"2026-05-18T01:54:37Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1209.2084","created_at":"2026-05-18T01:54:37Z"},{"alias_kind":"pith_short_12","alias_value":"WO3D7CRBGKKO","created_at":"2026-05-18T12:27:25Z"},{"alias_kind":"pith_short_16","alias_value":"WO3D7CRBGKKOC6NS","created_at":"2026-05-18T12:27:25Z"},{"alias_kind":"pith_short_8","alias_value":"WO3D7CRB","created_at":"2026-05-18T12:27:25Z"}],"graph_snapshots":[{"event_id":"sha256:a8279d9f25ac926c4252b5f6ca4c1116015548878858c076906ff675cc3d42dd","target":"graph","created_at":"2026-05-18T01:54:37Z","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":"The q-gradient is an extension of the classical gradient vector based on the concept of Jackson's derivative. Here we introduce a preliminary version of the q-gradient method for unconstrained global optimization. The main idea behind our approach is the use of the negative of the q-gradient of the objective function as the search direction. In this sense, the method here proposed is a generalization of the well-known steepest descent method. The use of Jackson's derivative has shown to be an effective mechanism for escaping from local minima. The q-gradient method is complemented with strateg","authors_text":"Aline C. Soterroni, Fernando M. Ramos, Roberto L. Galski","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2012-09-10T18:30:02Z","title":"The q-gradient method for global optimization"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1209.2084","kind":"arxiv","version":2},"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:cd7edcad1ec1650f8a71ae805317d6703f2933f1e847cb8154de882098de154d","target":"record","created_at":"2026-05-18T01:54:37Z","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":"40fd17ea3cb9d70d0ef39d94d40a4bea5a100ed44eeab93d2676bd61477d150d","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2012-09-10T18:30:02Z","title_canon_sha256":"4270e85bb3ade01905b5ddd05b3a35b256420fa778ccef90d2ab0712d90fafd0"},"schema_version":"1.0","source":{"id":"1209.2084","kind":"arxiv","version":2}},"canonical_sha256":"b3b63f8a213294e179b214072a4a2bc1765bacf3d37baf74218ab06689fad12d","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"b3b63f8a213294e179b214072a4a2bc1765bacf3d37baf74218ab06689fad12d","first_computed_at":"2026-05-18T01:54:37.500597Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:54:37.500597Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"YTbze9PPwuFxxXkY54mFHllarB62YBGEosQy27/kfRWDYe1wHOBL49l0XfmqvMwunhshw+HXz4G008TrN2bIDQ==","signature_status":"signed_v1","signed_at":"2026-05-18T01:54:37.501244Z","signed_message":"canonical_sha256_bytes"},"source_id":"1209.2084","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:cd7edcad1ec1650f8a71ae805317d6703f2933f1e847cb8154de882098de154d","sha256:a8279d9f25ac926c4252b5f6ca4c1116015548878858c076906ff675cc3d42dd"],"state_sha256":"5917dfdd69fad1ba5f0feb62cd86e76496ed2ede79a7ee91065328162eaab72f"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"5uf4kAaQTDW+HZud/7Hg3KjvDmtovT4o3yDEuo7UPzC6PXofwTvksTdXzggqzqURxdI9o0jk63sT2jnYK0S6AQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-26T01:14:21.722282Z","bundle_sha256":"253b98625c7668faab21b4953156b15f88485fc9801630fb99b66e6b195e1ea7"}}