{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2026:Y6Z74ZJMABVBNARERHMSRKCJEQ","short_pith_number":"pith:Y6Z74ZJM","canonical_record":{"source":{"id":"2606.28124","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.OC","submitted_at":"2026-06-26T14:26:00Z","cross_cats_sorted":[],"title_canon_sha256":"4d65217d2b6eee689e1a83e2d604054a2f4fc476d9a489b4a5c1c08d8e569c4b","abstract_canon_sha256":"6260a7e8683252f5c5acb9b6ef3877d6da5b85afbc44aa3b3a652bf41c3d1328"},"schema_version":"1.0"},"canonical_sha256":"c7b3fe652c006a16822489d928a849241f7dc938a19f1da89132464c1b6d38d7","source":{"kind":"arxiv","id":"2606.28124","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2606.28124","created_at":"2026-06-29T01:15:06Z"},{"alias_kind":"arxiv_version","alias_value":"2606.28124v1","created_at":"2026-06-29T01:15:06Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2606.28124","created_at":"2026-06-29T01:15:06Z"},{"alias_kind":"pith_short_12","alias_value":"Y6Z74ZJMABVB","created_at":"2026-06-29T01:15:06Z"},{"alias_kind":"pith_short_16","alias_value":"Y6Z74ZJMABVBNARE","created_at":"2026-06-29T01:15:06Z"},{"alias_kind":"pith_short_8","alias_value":"Y6Z74ZJM","created_at":"2026-06-29T01:15:06Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2026:Y6Z74ZJMABVBNARERHMSRKCJEQ","target":"record","payload":{"canonical_record":{"source":{"id":"2606.28124","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.OC","submitted_at":"2026-06-26T14:26:00Z","cross_cats_sorted":[],"title_canon_sha256":"4d65217d2b6eee689e1a83e2d604054a2f4fc476d9a489b4a5c1c08d8e569c4b","abstract_canon_sha256":"6260a7e8683252f5c5acb9b6ef3877d6da5b85afbc44aa3b3a652bf41c3d1328"},"schema_version":"1.0"},"canonical_sha256":"c7b3fe652c006a16822489d928a849241f7dc938a19f1da89132464c1b6d38d7","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-06-29T01:15:06.721526Z","signature_b64":"qKt0AUNayH3gU7P0vl4L/WcUAF5wWU2AAALUvLKJiyOKEwPX/zqP4X954fcEFgRRFMm7kk7q+OD5px1h0+gbCQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"c7b3fe652c006a16822489d928a849241f7dc938a19f1da89132464c1b6d38d7","last_reissued_at":"2026-06-29T01:15:06.721070Z","signature_status":"signed_v1","first_computed_at":"2026-06-29T01:15:06.721070Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2606.28124","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":"2026-06-29T01:15:06Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"PBzGPTl3q/wznWmKCdlQa+E/2mU1PD8ePnOue5nUhLOtkbyP52IR7TBSDZ2/uKnbX6SdpnKNZL2Wd95lAjMMCA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-03T21:06:33.215470Z"},"content_sha256":"e0bf4f458daf8bab8956bd6fc9686b696c8c391423faf2207ab2c1a86db10544","schema_version":"1.0","event_id":"sha256:e0bf4f458daf8bab8956bd6fc9686b696c8c391423faf2207ab2c1a86db10544"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2026:Y6Z74ZJMABVBNARERHMSRKCJEQ","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Reservoir Zero-Coordinatewise Projected Subspace Search for Minimization Over Sparse Symmetric Sets in Machine Learning","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":[],"primary_cat":"math.OC","authors_text":"Michael Breuss, Morteza Kimiaei, Shima Shabani","submitted_at":"2026-06-26T14:26:00Z","abstract_excerpt":"We study a class of nonconvex cardinality-constrained optimization problems arising in sparse learning. These problems are NP-hard due to the combinatorial nature of sparsity constraints. We introduce a Reservoir Zero-Coordinatewise Projected Subspace Search (RZCW-PSS) algorithm, a simplex-style method on sparse manifolds that integrates coordinatewise search, symmetry-aware swap-based support updates, randomized low-dimensional subspace exploration, and zero-coordinatewise reservoir injection. The proposed method augments classical coordinate and swap moves with sparse-compatible subspace sea"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2606.28124","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/2606.28124/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":"2026-06-29T01:15:06Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"b28DRAQdSHPNzki7FgoKAWjAkjUwHI+gFVJ6Y8fZM4f1+c914ePdQLj9Q/6Ee3KKh+Nht5T+TxtQ9Jo7wvaXAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-03T21:06:33.216384Z"},"content_sha256":"759df8522880055f3710cd991c6ef988a2c1efa66df364f82156924b673a9a6b","schema_version":"1.0","event_id":"sha256:759df8522880055f3710cd991c6ef988a2c1efa66df364f82156924b673a9a6b"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/Y6Z74ZJMABVBNARERHMSRKCJEQ/bundle.json","state_url":"https://pith.science/pith/Y6Z74ZJMABVBNARERHMSRKCJEQ/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/Y6Z74ZJMABVBNARERHMSRKCJEQ/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":"2026-08-03T21:06:33Z","links":{"resolver":"https://pith.science/pith/Y6Z74ZJMABVBNARERHMSRKCJEQ","bundle":"https://pith.science/pith/Y6Z74ZJMABVBNARERHMSRKCJEQ/bundle.json","state":"https://pith.science/pith/Y6Z74ZJMABVBNARERHMSRKCJEQ/state.json","well_known_bundle":"https://pith.science/.well-known/pith/Y6Z74ZJMABVBNARERHMSRKCJEQ/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2026:Y6Z74ZJMABVBNARERHMSRKCJEQ","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":"6260a7e8683252f5c5acb9b6ef3877d6da5b85afbc44aa3b3a652bf41c3d1328","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.OC","submitted_at":"2026-06-26T14:26:00Z","title_canon_sha256":"4d65217d2b6eee689e1a83e2d604054a2f4fc476d9a489b4a5c1c08d8e569c4b"},"schema_version":"1.0","source":{"id":"2606.28124","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2606.28124","created_at":"2026-06-29T01:15:06Z"},{"alias_kind":"arxiv_version","alias_value":"2606.28124v1","created_at":"2026-06-29T01:15:06Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2606.28124","created_at":"2026-06-29T01:15:06Z"},{"alias_kind":"pith_short_12","alias_value":"Y6Z74ZJMABVB","created_at":"2026-06-29T01:15:06Z"},{"alias_kind":"pith_short_16","alias_value":"Y6Z74ZJMABVBNARE","created_at":"2026-06-29T01:15:06Z"},{"alias_kind":"pith_short_8","alias_value":"Y6Z74ZJM","created_at":"2026-06-29T01:15:06Z"}],"graph_snapshots":[{"event_id":"sha256:759df8522880055f3710cd991c6ef988a2c1efa66df364f82156924b673a9a6b","target":"graph","created_at":"2026-06-29T01:15:06Z","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/2606.28124/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We study a class of nonconvex cardinality-constrained optimization problems arising in sparse learning. These problems are NP-hard due to the combinatorial nature of sparsity constraints. We introduce a Reservoir Zero-Coordinatewise Projected Subspace Search (RZCW-PSS) algorithm, a simplex-style method on sparse manifolds that integrates coordinatewise search, symmetry-aware swap-based support updates, randomized low-dimensional subspace exploration, and zero-coordinatewise reservoir injection. The proposed method augments classical coordinate and swap moves with sparse-compatible subspace sea","authors_text":"Michael Breuss, Morteza Kimiaei, Shima Shabani","cross_cats":[],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.OC","submitted_at":"2026-06-26T14:26:00Z","title":"Reservoir Zero-Coordinatewise Projected Subspace Search for Minimization Over Sparse Symmetric Sets in Machine Learning"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2606.28124","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:e0bf4f458daf8bab8956bd6fc9686b696c8c391423faf2207ab2c1a86db10544","target":"record","created_at":"2026-06-29T01:15:06Z","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":"6260a7e8683252f5c5acb9b6ef3877d6da5b85afbc44aa3b3a652bf41c3d1328","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.OC","submitted_at":"2026-06-26T14:26:00Z","title_canon_sha256":"4d65217d2b6eee689e1a83e2d604054a2f4fc476d9a489b4a5c1c08d8e569c4b"},"schema_version":"1.0","source":{"id":"2606.28124","kind":"arxiv","version":1}},"canonical_sha256":"c7b3fe652c006a16822489d928a849241f7dc938a19f1da89132464c1b6d38d7","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"c7b3fe652c006a16822489d928a849241f7dc938a19f1da89132464c1b6d38d7","first_computed_at":"2026-06-29T01:15:06.721070Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-06-29T01:15:06.721070Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"qKt0AUNayH3gU7P0vl4L/WcUAF5wWU2AAALUvLKJiyOKEwPX/zqP4X954fcEFgRRFMm7kk7q+OD5px1h0+gbCQ==","signature_status":"signed_v1","signed_at":"2026-06-29T01:15:06.721526Z","signed_message":"canonical_sha256_bytes"},"source_id":"2606.28124","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:e0bf4f458daf8bab8956bd6fc9686b696c8c391423faf2207ab2c1a86db10544","sha256:759df8522880055f3710cd991c6ef988a2c1efa66df364f82156924b673a9a6b"],"state_sha256":"e97408ff88fab3b7e01ec994a643e1c03cd973d63fffb379dd7b9c097fa0891d"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"XD3OkF+vNuTmDCEmEB02OSJvdMvdLVrkbQJCRgheNHgJW5JaqUudhExFharP6rEE+eCweYokAW5bXt6zjYKsAQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-03T21:06:33.221876Z","bundle_sha256":"788c60fbb5d11df1735681b34514c6af95cff5fd37660c87f095049c7264bad8"}}