{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2026:YNKHA3QSZN4TAN2PMW7PNBFZXQ","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":"a84e229c169f51576b374f22971d06fc004f26a733b905e3921913396ea8afac","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LG","submitted_at":"2026-07-19T22:19:17Z","title_canon_sha256":"e0c0b895c29666287f33e84b596d0f222446f7870d80695a43f4456a39c2b481"},"schema_version":"1.0","source":{"id":"2607.17425","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2607.17425","created_at":"2026-07-21T01:21:32Z"},{"alias_kind":"arxiv_version","alias_value":"2607.17425v1","created_at":"2026-07-21T01:21:32Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2607.17425","created_at":"2026-07-21T01:21:32Z"},{"alias_kind":"pith_short_12","alias_value":"YNKHA3QSZN4T","created_at":"2026-07-21T01:21:32Z"},{"alias_kind":"pith_short_16","alias_value":"YNKHA3QSZN4TAN2P","created_at":"2026-07-21T01:21:32Z"},{"alias_kind":"pith_short_8","alias_value":"YNKHA3QS","created_at":"2026-07-21T01:21:32Z"}],"graph_snapshots":[{"event_id":"sha256:474f1f96e29597a3d5f4192edf183b1599690dda67ba38244179029cdeb692d6","target":"graph","created_at":"2026-07-21T01:21:32Z","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/2607.17425/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Sparse autoencoders (SAEs) compress model activations into sparse codes, but equal reconstruction error and sparsity can preserve different linearly decodable signals. We formalize this ambiguity as a matrix-valued distortion between optimal ridge-prediction operators and train decoder-preserving SAEs by combining this distortion with reconstruction loss. In a rank relaxation, an isotropic task prior saturates per-mode omission costs without changing PCA's ordering, whereas a structured prior can change which modes are retained. A controlled sparse experiment shows that a declared prior protec","authors_text":"Aniket Deshpande","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LG","submitted_at":"2026-07-19T22:19:17Z","title":"Decoder-Preserving Sparse Autoencoders: Which Readouts Survive Sparse Compression?"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2607.17425","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":"sha256:8d753e4c54c5d5c2652852790986f7d2b18731e5bf97cda179cecd3fd302a5ef","target":"record","created_at":"2026-07-21T01:21:32Z","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":"a84e229c169f51576b374f22971d06fc004f26a733b905e3921913396ea8afac","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LG","submitted_at":"2026-07-19T22:19:17Z","title_canon_sha256":"e0c0b895c29666287f33e84b596d0f222446f7870d80695a43f4456a39c2b481"},"schema_version":"1.0","source":{"id":"2607.17425","kind":"arxiv","version":1}},"canonical_sha256":"c354706e12cb7930374f65bef684b9bc2342cecb4923941959fab772d18fd681","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"c354706e12cb7930374f65bef684b9bc2342cecb4923941959fab772d18fd681","first_computed_at":"2026-07-21T01:21:32.311423Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-21T01:21:32.311423Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"AiL/sINo2oZaAsIPv9a2MPg6COOUGE6bMaNbGt4XUvty1WMy5vIWovEZFIDbKuqjBxSnyWlokuxYFWt+RoKdAw==","signature_status":"signed_v1","signed_at":"2026-07-21T01:21:32.312341Z","signed_message":"canonical_sha256_bytes"},"source_id":"2607.17425","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:8d753e4c54c5d5c2652852790986f7d2b18731e5bf97cda179cecd3fd302a5ef","sha256:474f1f96e29597a3d5f4192edf183b1599690dda67ba38244179029cdeb692d6"],"state_sha256":"16d58401c0eb9e8550ed3f591f681fd31f9e6113b0daed134b94ece315f68c04"}