{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2026:5RK3ZP3EN2SD7DP46W3LPK7Q4G","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":"8c25d4b967a9407edd304624227738614923703304f2ab28111213bf71e3e627","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.AI","submitted_at":"2026-06-02T03:27:24Z","title_canon_sha256":"f1bf58eeabcbf6cd446bfbcf587cedfa7547ab7276e11492379e7447b2a7a027"},"schema_version":"1.0","source":{"id":"2606.03093","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2606.03093","created_at":"2026-06-03T01:05:31Z"},{"alias_kind":"arxiv_version","alias_value":"2606.03093v1","created_at":"2026-06-03T01:05:31Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2606.03093","created_at":"2026-06-03T01:05:31Z"},{"alias_kind":"pith_short_12","alias_value":"5RK3ZP3EN2SD","created_at":"2026-06-03T01:05:31Z"},{"alias_kind":"pith_short_16","alias_value":"5RK3ZP3EN2SD7DP4","created_at":"2026-06-03T01:05:31Z"},{"alias_kind":"pith_short_8","alias_value":"5RK3ZP3E","created_at":"2026-06-03T01:05:31Z"}],"graph_snapshots":[{"event_id":"sha256:4a13822d6e12207ada540799ff5f09245a748c283550fad54fab6c2ddac40b40","target":"graph","created_at":"2026-06-03T01:05:31Z","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/2606.03093/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Prompting steers large language models (LLMs) and vision-language models (VLMs) without weight updates, but it remains unclear how instruction changes reshape internal representations to produce behavior. We introduce a nested geometric decomposition framework that treats prompting as a transformation of the representational geometry of the content following the prompt. For each prompt pair, we align representations of the same stimuli under two prompts using increasingly expressive stimulus-invariant maps: translation, rigid transformation with uniform scaling, sequential axis scaling, affine","authors_text":"Fan L. Cheng, Nikolaus Kriegeskorte","cross_cats":[],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.AI","submitted_at":"2026-06-02T03:27:24Z","title":"Decomposing how prompting steers behavior"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2606.03093","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:cfd5f0901034c3d6b40b23dd22cda2c3ebaf7e1aae64d084916db189b00d1eb9","target":"record","created_at":"2026-06-03T01:05:31Z","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":"8c25d4b967a9407edd304624227738614923703304f2ab28111213bf71e3e627","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.AI","submitted_at":"2026-06-02T03:27:24Z","title_canon_sha256":"f1bf58eeabcbf6cd446bfbcf587cedfa7547ab7276e11492379e7447b2a7a027"},"schema_version":"1.0","source":{"id":"2606.03093","kind":"arxiv","version":1}},"canonical_sha256":"ec55bcbf646ea43f8dfcf5b6b7abf0e18686872688c844c38ea86ab9a2f2cc2e","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"ec55bcbf646ea43f8dfcf5b6b7abf0e18686872688c844c38ea86ab9a2f2cc2e","first_computed_at":"2026-06-03T01:05:31.460831Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-06-03T01:05:31.460831Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"09MNkGzTO6//X9AoIHPljKJZhPd2yOF03Y1bI3bQ+p2PTWD29iyhC7EJq36mjrDWPmaQ8LETNza3mgoalDSzCQ==","signature_status":"signed_v1","signed_at":"2026-06-03T01:05:31.461228Z","signed_message":"canonical_sha256_bytes"},"source_id":"2606.03093","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:cfd5f0901034c3d6b40b23dd22cda2c3ebaf7e1aae64d084916db189b00d1eb9","sha256:4a13822d6e12207ada540799ff5f09245a748c283550fad54fab6c2ddac40b40"],"state_sha256":"1d7583505bae36d00dec84f2f2f1bfee9ba01a72a4ab8e06ff7a40d1e86b6042"}