{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2026:RQBD3HIFZ3PRA6E7FBIIF65FCS","short_pith_number":"pith:RQBD3HIF","canonical_record":{"source":{"id":"2607.10517","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.LG","submitted_at":"2026-07-12T00:36:46Z","cross_cats_sorted":["cs.AI"],"title_canon_sha256":"e9b969e477c4900f8beffd069c24f4f934487174388d2433e33fa2478a6e9223","abstract_canon_sha256":"af11957e5c370e54096afe826d7c6bc2d0a080037a13fd5503e1bd1762c53271"},"schema_version":"1.0"},"canonical_sha256":"8c023d9d05cedf10789f285082fba514866e0c13842a0068fc045ec037d21d87","source":{"kind":"arxiv","id":"2607.10517","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2607.10517","created_at":"2026-07-14T01:21:19Z"},{"alias_kind":"arxiv_version","alias_value":"2607.10517v1","created_at":"2026-07-14T01:21:19Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2607.10517","created_at":"2026-07-14T01:21:19Z"},{"alias_kind":"pith_short_12","alias_value":"RQBD3HIFZ3PR","created_at":"2026-07-14T01:21:19Z"},{"alias_kind":"pith_short_16","alias_value":"RQBD3HIFZ3PRA6E7","created_at":"2026-07-14T01:21:19Z"},{"alias_kind":"pith_short_8","alias_value":"RQBD3HIF","created_at":"2026-07-14T01:21:19Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2026:RQBD3HIFZ3PRA6E7FBIIF65FCS","target":"record","payload":{"canonical_record":{"source":{"id":"2607.10517","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.LG","submitted_at":"2026-07-12T00:36:46Z","cross_cats_sorted":["cs.AI"],"title_canon_sha256":"e9b969e477c4900f8beffd069c24f4f934487174388d2433e33fa2478a6e9223","abstract_canon_sha256":"af11957e5c370e54096afe826d7c6bc2d0a080037a13fd5503e1bd1762c53271"},"schema_version":"1.0"},"canonical_sha256":"8c023d9d05cedf10789f285082fba514866e0c13842a0068fc045ec037d21d87","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-14T01:21:19.177906Z","signature_b64":"k/XpxAPZ48DuZh9F+i7KRpbqlfZSosRsgQaf/FUdb3dr3iyLozwf9CyUNKWzE7+Eyi+y5NHz9vDtieXxfLfpCg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"8c023d9d05cedf10789f285082fba514866e0c13842a0068fc045ec037d21d87","last_reissued_at":"2026-07-14T01:21:19.177116Z","signature_status":"signed_v1","first_computed_at":"2026-07-14T01:21:19.177116Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2607.10517","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":"2026-07-14T01:21:19Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"/4h0zCk713MfyOCXOnjdQ8JA/lpypIYrb7+bNlMhpgK6qL/yvNE4hwheFroXb9fG+97f++5blQZ1G9+DOj9IDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-22T13:10:33.484034Z"},"content_sha256":"448858bdd6f133721d0b058276c71888a3a59e10a7003c2fdfc4f07c53387c51","schema_version":"1.0","event_id":"sha256:448858bdd6f133721d0b058276c71888a3a59e10a7003c2fdfc4f07c53387c51"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2026:RQBD3HIFZ3PRA6E7FBIIF65FCS","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Conditional Optimal Bridge for Riemannian Activation Steering","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["cs.AI"],"primary_cat":"cs.LG","authors_text":"Ajay Narayanan Sridhar, Mehrdad Mahdavi, Seyed Arshan Dalili, Vijaykrishnan Narayanan","submitted_at":"2026-07-12T00:36:46Z","abstract_excerpt":"Activation steering offers a lightweight alternative to fine-tuning for controlling large language models at inference time. While many existing methods implicitly optimize a log-density-ratio objective between desired and undesired activation distributions, they do so heuristically rather than deriving it from a principled optimization problem. Moreover, these methods produce query-independent steering directions that can degrade performance on both in-distribution and out-of-distribution (OOD) inputs. We introduce \\textsc{Cobras} (Conditional Optimal Bridge for Riemannian Activation Steering"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2607.10517","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/2607.10517/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":"2026-07-14T01:21:19Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"cTj5wTJpGYd0yX/W80BfwRcG4gmmL+HCA95zEBcnqNXmoUvWpc//ulGBxkKBlfvCoGSnD1IP01zraQPUN5iMCQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-22T13:10:33.484437Z"},"content_sha256":"8e112387d7a40110a9e6c48ed9c3dc03c8b88b15d151432bf6179eca2f18b9df","schema_version":"1.0","event_id":"sha256:8e112387d7a40110a9e6c48ed9c3dc03c8b88b15d151432bf6179eca2f18b9df"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/RQBD3HIFZ3PRA6E7FBIIF65FCS/bundle.json","state_url":"https://pith.science/pith/RQBD3HIFZ3PRA6E7FBIIF65FCS/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/RQBD3HIFZ3PRA6E7FBIIF65FCS/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":"2026-07-22T13:10:33Z","links":{"resolver":"https://pith.science/pith/RQBD3HIFZ3PRA6E7FBIIF65FCS","bundle":"https://pith.science/pith/RQBD3HIFZ3PRA6E7FBIIF65FCS/bundle.json","state":"https://pith.science/pith/RQBD3HIFZ3PRA6E7FBIIF65FCS/state.json","well_known_bundle":"https://pith.science/.well-known/pith/RQBD3HIFZ3PRA6E7FBIIF65FCS/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2026:RQBD3HIFZ3PRA6E7FBIIF65FCS","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":"af11957e5c370e54096afe826d7c6bc2d0a080037a13fd5503e1bd1762c53271","cross_cats_sorted":["cs.AI"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.LG","submitted_at":"2026-07-12T00:36:46Z","title_canon_sha256":"e9b969e477c4900f8beffd069c24f4f934487174388d2433e33fa2478a6e9223"},"schema_version":"1.0","source":{"id":"2607.10517","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2607.10517","created_at":"2026-07-14T01:21:19Z"},{"alias_kind":"arxiv_version","alias_value":"2607.10517v1","created_at":"2026-07-14T01:21:19Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2607.10517","created_at":"2026-07-14T01:21:19Z"},{"alias_kind":"pith_short_12","alias_value":"RQBD3HIFZ3PR","created_at":"2026-07-14T01:21:19Z"},{"alias_kind":"pith_short_16","alias_value":"RQBD3HIFZ3PRA6E7","created_at":"2026-07-14T01:21:19Z"},{"alias_kind":"pith_short_8","alias_value":"RQBD3HIF","created_at":"2026-07-14T01:21:19Z"}],"graph_snapshots":[{"event_id":"sha256:8e112387d7a40110a9e6c48ed9c3dc03c8b88b15d151432bf6179eca2f18b9df","target":"graph","created_at":"2026-07-14T01:21:19Z","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/2607.10517/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Activation steering offers a lightweight alternative to fine-tuning for controlling large language models at inference time. While many existing methods implicitly optimize a log-density-ratio objective between desired and undesired activation distributions, they do so heuristically rather than deriving it from a principled optimization problem. Moreover, these methods produce query-independent steering directions that can degrade performance on both in-distribution and out-of-distribution (OOD) inputs. We introduce \\textsc{Cobras} (Conditional Optimal Bridge for Riemannian Activation Steering","authors_text":"Ajay Narayanan Sridhar, Mehrdad Mahdavi, Seyed Arshan Dalili, Vijaykrishnan Narayanan","cross_cats":["cs.AI"],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.LG","submitted_at":"2026-07-12T00:36:46Z","title":"Conditional Optimal Bridge for Riemannian Activation Steering"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2607.10517","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":"sha256:448858bdd6f133721d0b058276c71888a3a59e10a7003c2fdfc4f07c53387c51","target":"record","created_at":"2026-07-14T01:21:19Z","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":"af11957e5c370e54096afe826d7c6bc2d0a080037a13fd5503e1bd1762c53271","cross_cats_sorted":["cs.AI"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.LG","submitted_at":"2026-07-12T00:36:46Z","title_canon_sha256":"e9b969e477c4900f8beffd069c24f4f934487174388d2433e33fa2478a6e9223"},"schema_version":"1.0","source":{"id":"2607.10517","kind":"arxiv","version":1}},"canonical_sha256":"8c023d9d05cedf10789f285082fba514866e0c13842a0068fc045ec037d21d87","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"8c023d9d05cedf10789f285082fba514866e0c13842a0068fc045ec037d21d87","first_computed_at":"2026-07-14T01:21:19.177116Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-14T01:21:19.177116Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"k/XpxAPZ48DuZh9F+i7KRpbqlfZSosRsgQaf/FUdb3dr3iyLozwf9CyUNKWzE7+Eyi+y5NHz9vDtieXxfLfpCg==","signature_status":"signed_v1","signed_at":"2026-07-14T01:21:19.177906Z","signed_message":"canonical_sha256_bytes"},"source_id":"2607.10517","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:448858bdd6f133721d0b058276c71888a3a59e10a7003c2fdfc4f07c53387c51","sha256:8e112387d7a40110a9e6c48ed9c3dc03c8b88b15d151432bf6179eca2f18b9df"],"state_sha256":"6a6fc13bb8c7b372f1817cb968cd0479860ed4de4e5dfaa4c24f8c8dfbb7ff4a"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"l0lk2MUIv6A+X1gn1UsFvjMUvkvhmHI3hMbvG8ooRMBuxSS3KAB+GN2LyMlLd04ghOM5ALfgsjoUZIVTLZF4Bw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-07-22T13:10:33.486644Z","bundle_sha256":"18fc918390d95cbf7045a7e0d50f45189f29ade8af165c0aed5cce9b261726be"}}