{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2026:TGEBEKQL75JVKZB35A6ROC2Y2F","short_pith_number":"pith:TGEBEKQL","canonical_record":{"source":{"id":"2605.05220","kind":"arxiv","version":2},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.LG","submitted_at":"2026-04-17T19:23:33Z","cross_cats_sorted":["cs.AI"],"title_canon_sha256":"bdb1215781d2ae0a57a65fca1c703486ea46d7f45c68040d389c0cc665cb4bcb","abstract_canon_sha256":"b33f659b4f8c5067b4ab1e7e1e3cd197418277740fab53d9af1d5651beb8df33"},"schema_version":"1.0"},"canonical_sha256":"9988122a0bff5355643be83d170b58d174430e036159c4d29c3d88cc7629bc3a","source":{"kind":"arxiv","id":"2605.05220","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2605.05220","created_at":"2026-06-02T01:03:16Z"},{"alias_kind":"arxiv_version","alias_value":"2605.05220v2","created_at":"2026-06-02T01:03:16Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2605.05220","created_at":"2026-06-02T01:03:16Z"},{"alias_kind":"pith_short_12","alias_value":"TGEBEKQL75JV","created_at":"2026-06-02T01:03:16Z"},{"alias_kind":"pith_short_16","alias_value":"TGEBEKQL75JVKZB3","created_at":"2026-06-02T01:03:16Z"},{"alias_kind":"pith_short_8","alias_value":"TGEBEKQL","created_at":"2026-06-02T01:03:16Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2026:TGEBEKQL75JVKZB35A6ROC2Y2F","target":"record","payload":{"canonical_record":{"source":{"id":"2605.05220","kind":"arxiv","version":2},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.LG","submitted_at":"2026-04-17T19:23:33Z","cross_cats_sorted":["cs.AI"],"title_canon_sha256":"bdb1215781d2ae0a57a65fca1c703486ea46d7f45c68040d389c0cc665cb4bcb","abstract_canon_sha256":"b33f659b4f8c5067b4ab1e7e1e3cd197418277740fab53d9af1d5651beb8df33"},"schema_version":"1.0"},"canonical_sha256":"9988122a0bff5355643be83d170b58d174430e036159c4d29c3d88cc7629bc3a","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-06-02T01:03:16.238419Z","signature_b64":"UCzafljMO7AgaC5yj+gKB8tjoSbfkcrU5yXj+KBNomJXeIVuvw1DuSpQM3aV32v4zXsUfUY3h+a4MxLwNeIJAA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"9988122a0bff5355643be83d170b58d174430e036159c4d29c3d88cc7629bc3a","last_reissued_at":"2026-06-02T01:03:16.237923Z","signature_status":"signed_v1","first_computed_at":"2026-06-02T01:03:16.237923Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2605.05220","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":"2026-06-02T01:03:16Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"DOSZ6/Z4OBY02WQ13CEZ4hINwmvpXbCiw59x3uZZk/TdLqSMrsKAvt+ONDNbhUqoAFpcPjOurXJ4ZZfja+kGDg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-20T20:16:16.309170Z"},"content_sha256":"d592c72085ccbdc8def3990e78c8d054fdc2d9a3cdb950c746443a892edcdd54","schema_version":"1.0","event_id":"sha256:d592c72085ccbdc8def3990e78c8d054fdc2d9a3cdb950c746443a892edcdd54"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2026:TGEBEKQL75JVKZB35A6ROC2Y2F","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"MidSteer: Optimal Affine Framework for Steering Generative Models","license":"http://creativecommons.org/licenses/by/4.0/","headline":"MidSteer is a general affine framework for concept steering in generative models that relaxes optimality assumptions of prior LEACE-based methods to enable directed minimal-disturbance transformations.","cross_cats":["cs.AI"],"primary_cat":"cs.LG","authors_text":"Andrew Stepanov, Gregory Slabaugh, Ismail Elezi, Jiankang Deng, Martin Benning, Tatiana Gaintseva, Ziquan Liu","submitted_at":"2026-04-17T19:23:33Z","abstract_excerpt":"Steering intermediate representations has emerged as a powerful strategy for controlling generative models, particularly in post-deployment alignment and safety settings. However, despite its empirical success, it currently lacks a comprehensive theoretical framework. In this paper, we bridge this gap by formalizing the theory of concept steering. First, we establish a link between steering and affine concept erasure, proving that the standard approach for removing unwanted behaviors is a special case of LEACE (a closed-form method for affine erasure). Next, we formulate a principled theoretic"},"claims":{"count":3,"items":[{"kind":"strongest_claim","text":"We introduce MidSteer (Minimal Disturbance concept Steering), a more general affine framework for concept manipulation that relaxes these assumptions and enables directed, minimal-disturbance transformations.","source":"verdict.strongest_claim","status":"machine_extracted","claim_id":"C1","attestation":"unclaimed"},{"kind":"weakest_assumption","text":"The assumptions under which LEACE-Switch provides an optimal affine solution hold for the specific concept manipulations considered; MidSteer relaxes them but still relies on affine transformations being sufficient for effective steering.","source":"verdict.weakest_assumption","status":"machine_extracted","claim_id":"C2","attestation":"unclaimed"},{"kind":"one_line_summary","text":"MidSteer is a general affine framework for concept steering in generative models that relaxes optimality assumptions of prior LEACE-based methods to enable directed minimal-disturbance transformations.","source":"verdict.one_line_summary","status":"machine_extracted","claim_id":"C3","attestation":"unclaimed"}],"snapshot_sha256":"480a624475eb24f82cd3214101bab33c8f0e72b958fac9fe4cfcef9d326f6033"},"source":{"id":"2605.05220","kind":"arxiv","version":2},"verdict":{"id":"26a76550-39ec-4423-85cf-0600d8b068dc","model_set":{"reader":"grok-4.3"},"created_at":"2026-05-10T08:34:47.208240Z","strongest_claim":"We introduce MidSteer (Minimal Disturbance concept Steering), a more general affine framework for concept manipulation that relaxes these assumptions and enables directed, minimal-disturbance transformations.","one_line_summary":"MidSteer is a general affine framework for concept steering in generative models that relaxes optimality assumptions of prior LEACE-based methods to enable directed minimal-disturbance transformations.","pipeline_version":"pith-pipeline@v0.9.0","weakest_assumption":"The assumptions under which LEACE-Switch provides an optimal affine solution hold for the specific concept manipulations considered; MidSteer relaxes them but still relies on affine transformations being sufficient for effective steering.","pith_extraction_headline":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2605.05220/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":"26a76550-39ec-4423-85cf-0600d8b068dc"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-06-02T01:03:16Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"NroSc/thYK8lB3PVkECaTjqOZ8JEIiXNrpSzQrwFUYGUh/8dK2Umoqtx0YLV+7ctc1hDGkcKsKrdI1q3ImPRBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-20T20:16:16.309636Z"},"content_sha256":"74a4d173cf7a92d9872e86a43b3fe5078a2628468e00ebbc0647171ef0fe1723","schema_version":"1.0","event_id":"sha256:74a4d173cf7a92d9872e86a43b3fe5078a2628468e00ebbc0647171ef0fe1723"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/TGEBEKQL75JVKZB35A6ROC2Y2F/bundle.json","state_url":"https://pith.science/pith/TGEBEKQL75JVKZB35A6ROC2Y2F/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/TGEBEKQL75JVKZB35A6ROC2Y2F/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":"2026-06-20T20:16:16Z","links":{"resolver":"https://pith.science/pith/TGEBEKQL75JVKZB35A6ROC2Y2F","bundle":"https://pith.science/pith/TGEBEKQL75JVKZB35A6ROC2Y2F/bundle.json","state":"https://pith.science/pith/TGEBEKQL75JVKZB35A6ROC2Y2F/state.json","well_known_bundle":"https://pith.science/.well-known/pith/TGEBEKQL75JVKZB35A6ROC2Y2F/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2026:TGEBEKQL75JVKZB35A6ROC2Y2F","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":"b33f659b4f8c5067b4ab1e7e1e3cd197418277740fab53d9af1d5651beb8df33","cross_cats_sorted":["cs.AI"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.LG","submitted_at":"2026-04-17T19:23:33Z","title_canon_sha256":"bdb1215781d2ae0a57a65fca1c703486ea46d7f45c68040d389c0cc665cb4bcb"},"schema_version":"1.0","source":{"id":"2605.05220","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2605.05220","created_at":"2026-06-02T01:03:16Z"},{"alias_kind":"arxiv_version","alias_value":"2605.05220v2","created_at":"2026-06-02T01:03:16Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2605.05220","created_at":"2026-06-02T01:03:16Z"},{"alias_kind":"pith_short_12","alias_value":"TGEBEKQL75JV","created_at":"2026-06-02T01:03:16Z"},{"alias_kind":"pith_short_16","alias_value":"TGEBEKQL75JVKZB3","created_at":"2026-06-02T01:03:16Z"},{"alias_kind":"pith_short_8","alias_value":"TGEBEKQL","created_at":"2026-06-02T01:03:16Z"}],"graph_snapshots":[{"event_id":"sha256:74a4d173cf7a92d9872e86a43b3fe5078a2628468e00ebbc0647171ef0fe1723","target":"graph","created_at":"2026-06-02T01:03:16Z","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":3,"items":[{"attestation":"unclaimed","claim_id":"C1","kind":"strongest_claim","source":"verdict.strongest_claim","status":"machine_extracted","text":"We introduce MidSteer (Minimal Disturbance concept Steering), a more general affine framework for concept manipulation that relaxes these assumptions and enables directed, minimal-disturbance transformations."},{"attestation":"unclaimed","claim_id":"C2","kind":"weakest_assumption","source":"verdict.weakest_assumption","status":"machine_extracted","text":"The assumptions under which LEACE-Switch provides an optimal affine solution hold for the specific concept manipulations considered; MidSteer relaxes them but still relies on affine transformations being sufficient for effective steering."},{"attestation":"unclaimed","claim_id":"C3","kind":"one_line_summary","source":"verdict.one_line_summary","status":"machine_extracted","text":"MidSteer is a general affine framework for concept steering in generative models that relaxes optimality assumptions of prior LEACE-based methods to enable directed minimal-disturbance transformations."}],"snapshot_sha256":"480a624475eb24f82cd3214101bab33c8f0e72b958fac9fe4cfcef9d326f6033"},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2605.05220/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Steering intermediate representations has emerged as a powerful strategy for controlling generative models, particularly in post-deployment alignment and safety settings. However, despite its empirical success, it currently lacks a comprehensive theoretical framework. In this paper, we bridge this gap by formalizing the theory of concept steering. First, we establish a link between steering and affine concept erasure, proving that the standard approach for removing unwanted behaviors is a special case of LEACE (a closed-form method for affine erasure). Next, we formulate a principled theoretic","authors_text":"Andrew Stepanov, Gregory Slabaugh, Ismail Elezi, Jiankang Deng, Martin Benning, Tatiana Gaintseva, Ziquan Liu","cross_cats":["cs.AI"],"headline":"MidSteer is a general affine framework for concept steering in generative models that relaxes optimality assumptions of prior LEACE-based methods to enable directed minimal-disturbance transformations.","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.LG","submitted_at":"2026-04-17T19:23:33Z","title":"MidSteer: Optimal Affine Framework for Steering Generative Models"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2605.05220","kind":"arxiv","version":2},"verdict":{"created_at":"2026-05-10T08:34:47.208240Z","id":"26a76550-39ec-4423-85cf-0600d8b068dc","model_set":{"reader":"grok-4.3"},"one_line_summary":"MidSteer is a general affine framework for concept steering in generative models that relaxes optimality assumptions of prior LEACE-based methods to enable directed minimal-disturbance transformations.","pipeline_version":"pith-pipeline@v0.9.0","pith_extraction_headline":"","strongest_claim":"We introduce MidSteer (Minimal Disturbance concept Steering), a more general affine framework for concept manipulation that relaxes these assumptions and enables directed, minimal-disturbance transformations.","weakest_assumption":"The assumptions under which LEACE-Switch provides an optimal affine solution hold for the specific concept manipulations considered; MidSteer relaxes them but still relies on affine transformations being sufficient for effective steering."}},"verdict_id":"26a76550-39ec-4423-85cf-0600d8b068dc"}}],"author_attestations":[],"timestamp_anchors":[],"storage_attestations":[],"citation_signatures":[],"replication_records":[],"corrections":[],"mirror_hints":[],"record_created":{"event_id":"sha256:d592c72085ccbdc8def3990e78c8d054fdc2d9a3cdb950c746443a892edcdd54","target":"record","created_at":"2026-06-02T01:03:16Z","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":"b33f659b4f8c5067b4ab1e7e1e3cd197418277740fab53d9af1d5651beb8df33","cross_cats_sorted":["cs.AI"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.LG","submitted_at":"2026-04-17T19:23:33Z","title_canon_sha256":"bdb1215781d2ae0a57a65fca1c703486ea46d7f45c68040d389c0cc665cb4bcb"},"schema_version":"1.0","source":{"id":"2605.05220","kind":"arxiv","version":2}},"canonical_sha256":"9988122a0bff5355643be83d170b58d174430e036159c4d29c3d88cc7629bc3a","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"9988122a0bff5355643be83d170b58d174430e036159c4d29c3d88cc7629bc3a","first_computed_at":"2026-06-02T01:03:16.237923Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-06-02T01:03:16.237923Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"UCzafljMO7AgaC5yj+gKB8tjoSbfkcrU5yXj+KBNomJXeIVuvw1DuSpQM3aV32v4zXsUfUY3h+a4MxLwNeIJAA==","signature_status":"signed_v1","signed_at":"2026-06-02T01:03:16.238419Z","signed_message":"canonical_sha256_bytes"},"source_id":"2605.05220","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:d592c72085ccbdc8def3990e78c8d054fdc2d9a3cdb950c746443a892edcdd54","sha256:74a4d173cf7a92d9872e86a43b3fe5078a2628468e00ebbc0647171ef0fe1723"],"state_sha256":"7bd8ae70c5ddb492e98501237df3ec35b31896ca2fce351f63726560fb8c59de"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"hTKYxb2N4Io0NYtCWs/ADB4zHSc4EbMByZ+Labnv9DmOttNhWH2jN+Wg1mRGZgm7VI4d4v0JbAbKUHIXyAAKDw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-20T20:16:16.311853Z","bundle_sha256":"54614394c2cab7488550fc4267af8c31670aae80655e8fa76efeac826520f4f9"}}