{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2026:EFMTKBQ4BGS7QDWJUFNUZ6B6MP","short_pith_number":"pith:EFMTKBQ4","canonical_record":{"source":{"id":"2606.26164","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.LG","submitted_at":"2026-06-24T06:33:29Z","cross_cats_sorted":["cs.NA","math.NA","physics.data-an","stat.CO"],"title_canon_sha256":"cde0b4e1ce855a3728576eaa60fa85c557035d56b2d15d2de97754ed5b338ed1","abstract_canon_sha256":"84174916f4e2b4abe1e6f5983cbfb938c65167c69286be6a80f43a6af0597993"},"schema_version":"1.0"},"canonical_sha256":"215935061c09a5f80ec9a15b4cf83e63ce8821aa6adbe804306b974fe793a956","source":{"kind":"arxiv","id":"2606.26164","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2606.26164","created_at":"2026-06-26T00:15:28Z"},{"alias_kind":"arxiv_version","alias_value":"2606.26164v1","created_at":"2026-06-26T00:15:28Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2606.26164","created_at":"2026-06-26T00:15:28Z"},{"alias_kind":"pith_short_12","alias_value":"EFMTKBQ4BGS7","created_at":"2026-06-26T00:15:28Z"},{"alias_kind":"pith_short_16","alias_value":"EFMTKBQ4BGS7QDWJ","created_at":"2026-06-26T00:15:28Z"},{"alias_kind":"pith_short_8","alias_value":"EFMTKBQ4","created_at":"2026-06-26T00:15:28Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2026:EFMTKBQ4BGS7QDWJUFNUZ6B6MP","target":"record","payload":{"canonical_record":{"source":{"id":"2606.26164","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.LG","submitted_at":"2026-06-24T06:33:29Z","cross_cats_sorted":["cs.NA","math.NA","physics.data-an","stat.CO"],"title_canon_sha256":"cde0b4e1ce855a3728576eaa60fa85c557035d56b2d15d2de97754ed5b338ed1","abstract_canon_sha256":"84174916f4e2b4abe1e6f5983cbfb938c65167c69286be6a80f43a6af0597993"},"schema_version":"1.0"},"canonical_sha256":"215935061c09a5f80ec9a15b4cf83e63ce8821aa6adbe804306b974fe793a956","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-06-26T00:15:28.265987Z","signature_b64":"FVGCpL0dLhPlgu9uXg6ZQX5PQS37ZmJuM5CRYgxq3x7rVnsNb9oIMrfD+YqGwrniVq63WJENsCSwo3NNgaN6DQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"215935061c09a5f80ec9a15b4cf83e63ce8821aa6adbe804306b974fe793a956","last_reissued_at":"2026-06-26T00:15:28.265292Z","signature_status":"signed_v1","first_computed_at":"2026-06-26T00:15:28.265292Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2606.26164","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":"2026-06-26T00:15:28Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"JIjwUyPUDjYOm4EUXPEhpr753bojjcRIBtmemQumapVa7fCzBLYjI92MAr5pA5rPshuamlZ/or9CrLcI5ozkAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-29T21:30:49.052812Z"},"content_sha256":"1f623a2121dc706af2dfe9d6a74c0cec769e400806d7144f5eb583905f5b2962","schema_version":"1.0","event_id":"sha256:1f623a2121dc706af2dfe9d6a74c0cec769e400806d7144f5eb583905f5b2962"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2026:EFMTKBQ4BGS7QDWJUFNUZ6B6MP","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"\\chisao{}: A GPU-Native Parallel Optimizer for Multimodal Black-Box Functions via Convergence-Anticonvergence Oscillation","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["cs.NA","math.NA","physics.data-an","stat.CO"],"primary_cat":"cs.LG","authors_text":"Ira Wolfson","submitted_at":"2026-06-24T06:33:29Z","abstract_excerpt":"Finding all modes of a multimodal black-box function is a fundamental challenge in optimization, Bayesian inference, and scientific computing. Existing approaches -- basin-hopping, CMA-ES, multistart gradient descent -- operate sequentially and cannot exploit the massive parallelism of modern GPU hardware. We introduce \\chisao{} (\\textbf{C}onvergence-\\textbf{H}alt-\\textbf{I}nvert-\\textbf{S}tick-\\textbf{A}nd-\\textbf{O}scillate), a GPU-native population optimizer that runs an entire sample batch simultaneously and exploits a deliberate convergence-anticonvergence oscillation cycle to escape loca"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2606.26164","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/2606.26164/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":"2026-06-26T00:15:28Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"S72ChzD3+m0gxwFCVIDmwoJWS2zZ1Vq/7Ql+hL5rhaOl+6GUtOPOinTp0PLze482OLMO+h0CtxFIfsU+bP8NAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-29T21:30:49.053255Z"},"content_sha256":"0cf1c68c88740cd0b84ffbd3a04637e902dd7d7138ca25c2658c0fc75a00ddcb","schema_version":"1.0","event_id":"sha256:0cf1c68c88740cd0b84ffbd3a04637e902dd7d7138ca25c2658c0fc75a00ddcb"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/EFMTKBQ4BGS7QDWJUFNUZ6B6MP/bundle.json","state_url":"https://pith.science/pith/EFMTKBQ4BGS7QDWJUFNUZ6B6MP/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/EFMTKBQ4BGS7QDWJUFNUZ6B6MP/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":"2026-06-29T21:30:49Z","links":{"resolver":"https://pith.science/pith/EFMTKBQ4BGS7QDWJUFNUZ6B6MP","bundle":"https://pith.science/pith/EFMTKBQ4BGS7QDWJUFNUZ6B6MP/bundle.json","state":"https://pith.science/pith/EFMTKBQ4BGS7QDWJUFNUZ6B6MP/state.json","well_known_bundle":"https://pith.science/.well-known/pith/EFMTKBQ4BGS7QDWJUFNUZ6B6MP/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2026:EFMTKBQ4BGS7QDWJUFNUZ6B6MP","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":"84174916f4e2b4abe1e6f5983cbfb938c65167c69286be6a80f43a6af0597993","cross_cats_sorted":["cs.NA","math.NA","physics.data-an","stat.CO"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.LG","submitted_at":"2026-06-24T06:33:29Z","title_canon_sha256":"cde0b4e1ce855a3728576eaa60fa85c557035d56b2d15d2de97754ed5b338ed1"},"schema_version":"1.0","source":{"id":"2606.26164","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2606.26164","created_at":"2026-06-26T00:15:28Z"},{"alias_kind":"arxiv_version","alias_value":"2606.26164v1","created_at":"2026-06-26T00:15:28Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2606.26164","created_at":"2026-06-26T00:15:28Z"},{"alias_kind":"pith_short_12","alias_value":"EFMTKBQ4BGS7","created_at":"2026-06-26T00:15:28Z"},{"alias_kind":"pith_short_16","alias_value":"EFMTKBQ4BGS7QDWJ","created_at":"2026-06-26T00:15:28Z"},{"alias_kind":"pith_short_8","alias_value":"EFMTKBQ4","created_at":"2026-06-26T00:15:28Z"}],"graph_snapshots":[{"event_id":"sha256:0cf1c68c88740cd0b84ffbd3a04637e902dd7d7138ca25c2658c0fc75a00ddcb","target":"graph","created_at":"2026-06-26T00:15:28Z","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/2606.26164/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Finding all modes of a multimodal black-box function is a fundamental challenge in optimization, Bayesian inference, and scientific computing. Existing approaches -- basin-hopping, CMA-ES, multistart gradient descent -- operate sequentially and cannot exploit the massive parallelism of modern GPU hardware. We introduce \\chisao{} (\\textbf{C}onvergence-\\textbf{H}alt-\\textbf{I}nvert-\\textbf{S}tick-\\textbf{A}nd-\\textbf{O}scillate), a GPU-native population optimizer that runs an entire sample batch simultaneously and exploits a deliberate convergence-anticonvergence oscillation cycle to escape loca","authors_text":"Ira Wolfson","cross_cats":["cs.NA","math.NA","physics.data-an","stat.CO"],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.LG","submitted_at":"2026-06-24T06:33:29Z","title":"\\chisao{}: A GPU-Native Parallel Optimizer for Multimodal Black-Box Functions via Convergence-Anticonvergence Oscillation"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2606.26164","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":"sha256:1f623a2121dc706af2dfe9d6a74c0cec769e400806d7144f5eb583905f5b2962","target":"record","created_at":"2026-06-26T00:15:28Z","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":"84174916f4e2b4abe1e6f5983cbfb938c65167c69286be6a80f43a6af0597993","cross_cats_sorted":["cs.NA","math.NA","physics.data-an","stat.CO"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.LG","submitted_at":"2026-06-24T06:33:29Z","title_canon_sha256":"cde0b4e1ce855a3728576eaa60fa85c557035d56b2d15d2de97754ed5b338ed1"},"schema_version":"1.0","source":{"id":"2606.26164","kind":"arxiv","version":1}},"canonical_sha256":"215935061c09a5f80ec9a15b4cf83e63ce8821aa6adbe804306b974fe793a956","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"215935061c09a5f80ec9a15b4cf83e63ce8821aa6adbe804306b974fe793a956","first_computed_at":"2026-06-26T00:15:28.265292Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-06-26T00:15:28.265292Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"FVGCpL0dLhPlgu9uXg6ZQX5PQS37ZmJuM5CRYgxq3x7rVnsNb9oIMrfD+YqGwrniVq63WJENsCSwo3NNgaN6DQ==","signature_status":"signed_v1","signed_at":"2026-06-26T00:15:28.265987Z","signed_message":"canonical_sha256_bytes"},"source_id":"2606.26164","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:1f623a2121dc706af2dfe9d6a74c0cec769e400806d7144f5eb583905f5b2962","sha256:0cf1c68c88740cd0b84ffbd3a04637e902dd7d7138ca25c2658c0fc75a00ddcb"],"state_sha256":"5f0a3c1e4125c73f3760b4d8852b2ae25faa0060f1864fe5971fa97bf459f606"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"bgRSLGvM7O2CIAcIe6Y6y9CQ5g2rW0AHSOiZlESWS3uowhk3YDY2Mi9L7BBGFNQtqk0y6UIMrdLPRvIVEnQVCA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-29T21:30:49.055513Z","bundle_sha256":"361c1a69cb06b1b339c29802f2fe9041edae02c5a528e229a02e42aaf716c7b5"}}