{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2026:H65MOXJHLPYOZ7T2UIXCFEOKTL","short_pith_number":"pith:H65MOXJH","canonical_record":{"source":{"id":"2605.17590","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.LG","submitted_at":"2026-05-17T18:34:14Z","cross_cats_sorted":["math.OC"],"title_canon_sha256":"681c7d925833ecc1ed415809ab7c618eafb1f3851e8922d47567bfc73113d4c8","abstract_canon_sha256":"3f82047f8d5cde864ddff8a9f323a0f083b0409698c3e64030bc181a7d9bc138"},"schema_version":"1.0"},"canonical_sha256":"3fbac75d275bf0ecfe7aa22e2291ca9ae7706ead9d010da2568591bd2611a84d","source":{"kind":"arxiv","id":"2605.17590","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2605.17590","created_at":"2026-05-20T00:04:47Z"},{"alias_kind":"arxiv_version","alias_value":"2605.17590v1","created_at":"2026-05-20T00:04:47Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2605.17590","created_at":"2026-05-20T00:04:47Z"},{"alias_kind":"pith_short_12","alias_value":"H65MOXJHLPYO","created_at":"2026-05-20T00:04:47Z"},{"alias_kind":"pith_short_16","alias_value":"H65MOXJHLPYOZ7T2","created_at":"2026-05-20T00:04:47Z"},{"alias_kind":"pith_short_8","alias_value":"H65MOXJH","created_at":"2026-05-20T00:04:47Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2026:H65MOXJHLPYOZ7T2UIXCFEOKTL","target":"record","payload":{"canonical_record":{"source":{"id":"2605.17590","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.LG","submitted_at":"2026-05-17T18:34:14Z","cross_cats_sorted":["math.OC"],"title_canon_sha256":"681c7d925833ecc1ed415809ab7c618eafb1f3851e8922d47567bfc73113d4c8","abstract_canon_sha256":"3f82047f8d5cde864ddff8a9f323a0f083b0409698c3e64030bc181a7d9bc138"},"schema_version":"1.0"},"canonical_sha256":"3fbac75d275bf0ecfe7aa22e2291ca9ae7706ead9d010da2568591bd2611a84d","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-20T00:04:47.529972Z","signature_b64":"zqoE3sM/jfXLDeRmAirckd7D2wbTQuEaPRDZ9bDxCzw1lmNdBPiOUn10OAw2FXxYHCTazmzCRbXNSBPVcTuFBQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"3fbac75d275bf0ecfe7aa22e2291ca9ae7706ead9d010da2568591bd2611a84d","last_reissued_at":"2026-05-20T00:04:47.529171Z","signature_status":"signed_v1","first_computed_at":"2026-05-20T00:04:47.529171Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2605.17590","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":"2026-05-20T00:04:47Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"L6rPsIElW1HJkzcEipLejLx9wC1FGa2dQ65lgLb0O2gcrz8W8ax5eLu/Lrhm3WsPLKcwWIm1BIsg9FfpFDtlAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-28T14:33:13.881334Z"},"content_sha256":"73986e393f7ef6ea9b3bb0ee6fea3ba86865e6a6d37804c3c34d3c0b5360a3cb","schema_version":"1.0","event_id":"sha256:73986e393f7ef6ea9b3bb0ee6fea3ba86865e6a6d37804c3c34d3c0b5360a3cb"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2026:H65MOXJHLPYOZ7T2UIXCFEOKTL","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Form and Function: Machine Unlearning as a Problem of Misaligned States","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["math.OC"],"primary_cat":"cs.LG","authors_text":"Kennon Stewart","submitted_at":"2026-05-17T18:34:14Z","abstract_excerpt":"We formulate machine unlearning for online L-BFGS as a counterfactual state-alignment problem. Given an actual event stream and a deletion-edited counterfactual stream, the target of unlearning is the optimizer state that would have arisen had the deleted samples never been processed. We introduce state-aware metrics that separately measure parameter error, memory-operator error, combined state error, and update-direction error. The memory metric compares the inverse-Hessian actions induced by the o-L-BFGS memory, rather than treating curvature pairs as of finite influence. Under convexity ass"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2605.17590","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/2605.17590/integrity.json","findings":[],"available":true,"detectors_run":[{"name":"ai_meta_artifact","ran_at":"2026-05-19T21:33:23.583856Z","status":"skipped","version":"1.0.0","findings_count":0},{"name":"claim_evidence","ran_at":"2026-05-19T21:21:57.512912Z","status":"completed","version":"1.0.0","findings_count":0}],"snapshot_sha256":"9bc88ac5b847cee002cbfda7e66ce6bfc964c5a30a8a3dc500c5fb7d5cd08310"},"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":"2026-05-20T00:04:47Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"L+0tg5pPG/YCAByqUiiTOg0bRq4TVWzsUsOqL54f4lN/lC1IM9EkjmYxfJD9CKI+TusYKs6FE4eI/icJQ0dTCw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-28T14:33:13.881736Z"},"content_sha256":"c44cf014d73777725147e7e3f2e60487c5585e8a0ecf68980c9e8eb5207e2fef","schema_version":"1.0","event_id":"sha256:c44cf014d73777725147e7e3f2e60487c5585e8a0ecf68980c9e8eb5207e2fef"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/H65MOXJHLPYOZ7T2UIXCFEOKTL/bundle.json","state_url":"https://pith.science/pith/H65MOXJHLPYOZ7T2UIXCFEOKTL/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/H65MOXJHLPYOZ7T2UIXCFEOKTL/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":"2026-05-28T14:33:13Z","links":{"resolver":"https://pith.science/pith/H65MOXJHLPYOZ7T2UIXCFEOKTL","bundle":"https://pith.science/pith/H65MOXJHLPYOZ7T2UIXCFEOKTL/bundle.json","state":"https://pith.science/pith/H65MOXJHLPYOZ7T2UIXCFEOKTL/state.json","well_known_bundle":"https://pith.science/.well-known/pith/H65MOXJHLPYOZ7T2UIXCFEOKTL/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2026:H65MOXJHLPYOZ7T2UIXCFEOKTL","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":"3f82047f8d5cde864ddff8a9f323a0f083b0409698c3e64030bc181a7d9bc138","cross_cats_sorted":["math.OC"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.LG","submitted_at":"2026-05-17T18:34:14Z","title_canon_sha256":"681c7d925833ecc1ed415809ab7c618eafb1f3851e8922d47567bfc73113d4c8"},"schema_version":"1.0","source":{"id":"2605.17590","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2605.17590","created_at":"2026-05-20T00:04:47Z"},{"alias_kind":"arxiv_version","alias_value":"2605.17590v1","created_at":"2026-05-20T00:04:47Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2605.17590","created_at":"2026-05-20T00:04:47Z"},{"alias_kind":"pith_short_12","alias_value":"H65MOXJHLPYO","created_at":"2026-05-20T00:04:47Z"},{"alias_kind":"pith_short_16","alias_value":"H65MOXJHLPYOZ7T2","created_at":"2026-05-20T00:04:47Z"},{"alias_kind":"pith_short_8","alias_value":"H65MOXJH","created_at":"2026-05-20T00:04:47Z"}],"graph_snapshots":[{"event_id":"sha256:c44cf014d73777725147e7e3f2e60487c5585e8a0ecf68980c9e8eb5207e2fef","target":"graph","created_at":"2026-05-20T00:04:47Z","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":[{"findings_count":0,"name":"ai_meta_artifact","ran_at":"2026-05-19T21:33:23.583856Z","status":"skipped","version":"1.0.0"},{"findings_count":0,"name":"claim_evidence","ran_at":"2026-05-19T21:21:57.512912Z","status":"completed","version":"1.0.0"}],"endpoint":"/pith/2605.17590/integrity.json","findings":[],"snapshot_sha256":"9bc88ac5b847cee002cbfda7e66ce6bfc964c5a30a8a3dc500c5fb7d5cd08310","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We formulate machine unlearning for online L-BFGS as a counterfactual state-alignment problem. Given an actual event stream and a deletion-edited counterfactual stream, the target of unlearning is the optimizer state that would have arisen had the deleted samples never been processed. We introduce state-aware metrics that separately measure parameter error, memory-operator error, combined state error, and update-direction error. The memory metric compares the inverse-Hessian actions induced by the o-L-BFGS memory, rather than treating curvature pairs as of finite influence. Under convexity ass","authors_text":"Kennon Stewart","cross_cats":["math.OC"],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.LG","submitted_at":"2026-05-17T18:34:14Z","title":"Form and Function: Machine Unlearning as a Problem of Misaligned States"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2605.17590","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":"sha256:73986e393f7ef6ea9b3bb0ee6fea3ba86865e6a6d37804c3c34d3c0b5360a3cb","target":"record","created_at":"2026-05-20T00:04:47Z","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":"3f82047f8d5cde864ddff8a9f323a0f083b0409698c3e64030bc181a7d9bc138","cross_cats_sorted":["math.OC"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.LG","submitted_at":"2026-05-17T18:34:14Z","title_canon_sha256":"681c7d925833ecc1ed415809ab7c618eafb1f3851e8922d47567bfc73113d4c8"},"schema_version":"1.0","source":{"id":"2605.17590","kind":"arxiv","version":1}},"canonical_sha256":"3fbac75d275bf0ecfe7aa22e2291ca9ae7706ead9d010da2568591bd2611a84d","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"3fbac75d275bf0ecfe7aa22e2291ca9ae7706ead9d010da2568591bd2611a84d","first_computed_at":"2026-05-20T00:04:47.529171Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-20T00:04:47.529171Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"zqoE3sM/jfXLDeRmAirckd7D2wbTQuEaPRDZ9bDxCzw1lmNdBPiOUn10OAw2FXxYHCTazmzCRbXNSBPVcTuFBQ==","signature_status":"signed_v1","signed_at":"2026-05-20T00:04:47.529972Z","signed_message":"canonical_sha256_bytes"},"source_id":"2605.17590","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:73986e393f7ef6ea9b3bb0ee6fea3ba86865e6a6d37804c3c34d3c0b5360a3cb","sha256:c44cf014d73777725147e7e3f2e60487c5585e8a0ecf68980c9e8eb5207e2fef"],"state_sha256":"598c5bfeb17ed18bcebb96aaecfc08ed6bb1ca3c120d469158ef734dfd604a87"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"svPLHxo8f+OjQVXg7b/dhDbmVN7FHi2ne8OyrEhMJAIlLAAyNKJa5aUsQlpwHmZ79vfpt18MYL3jnGWiqG8uAA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-28T14:33:13.883834Z","bundle_sha256":"55647083efbc935a5f63eed2a569670110826f9dbee76e04546775899d24ec29"}}