{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2026:5TIS623F4VPSNCVHK54Y54275S","short_pith_number":"pith:5TIS623F","canonical_record":{"source":{"id":"2607.20438","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.CL","submitted_at":"2026-05-12T01:46:10Z","cross_cats_sorted":["cs.AI","cs.LG"],"title_canon_sha256":"ec75fa547a230d210cbd6fdcd769d0fa350d7317f7efa5b02960b4239fb18265","abstract_canon_sha256":"082cc3db022c702a1a331fe013e92e7af32f23c6667d37105fe4e08005536d50"},"schema_version":"1.0"},"canonical_sha256":"ecd12f6b65e55f268aa757798ef35fecafd660b2172b7825d881c043407d3e1a","source":{"kind":"arxiv","id":"2607.20438","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2607.20438","created_at":"2026-07-24T00:23:15Z"},{"alias_kind":"arxiv_version","alias_value":"2607.20438v1","created_at":"2026-07-24T00:23:15Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2607.20438","created_at":"2026-07-24T00:23:15Z"},{"alias_kind":"pith_short_12","alias_value":"5TIS623F4VPS","created_at":"2026-07-24T00:23:15Z"},{"alias_kind":"pith_short_16","alias_value":"5TIS623F4VPSNCVH","created_at":"2026-07-24T00:23:15Z"},{"alias_kind":"pith_short_8","alias_value":"5TIS623F","created_at":"2026-07-24T00:23:15Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2026:5TIS623F4VPSNCVHK54Y54275S","target":"record","payload":{"canonical_record":{"source":{"id":"2607.20438","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.CL","submitted_at":"2026-05-12T01:46:10Z","cross_cats_sorted":["cs.AI","cs.LG"],"title_canon_sha256":"ec75fa547a230d210cbd6fdcd769d0fa350d7317f7efa5b02960b4239fb18265","abstract_canon_sha256":"082cc3db022c702a1a331fe013e92e7af32f23c6667d37105fe4e08005536d50"},"schema_version":"1.0"},"canonical_sha256":"ecd12f6b65e55f268aa757798ef35fecafd660b2172b7825d881c043407d3e1a","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-24T00:23:15.472301Z","signature_b64":"1zbKjNke2B7fCiY2NOGpuDSXK1EWG1UuPx97Z66sc/FuIAFoytB3XeoNglTHW1sjKXb5SaNHdZBbPF4PTzCJCg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"ecd12f6b65e55f268aa757798ef35fecafd660b2172b7825d881c043407d3e1a","last_reissued_at":"2026-07-24T00:23:15.471335Z","signature_status":"signed_v1","first_computed_at":"2026-07-24T00:23:15.471335Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2607.20438","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":"2026-07-24T00:23:15Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"7P0+ubD2AeJqE3htj/MS0ZRRwG1PUf2vstcMEQIsUWOx9XHOtalc8toO9KVj5xopG2Z74bbt/4irMWRcRe8IBA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-11T07:42:20.066411Z"},"content_sha256":"1d920ded991b33d188be60d036d8a8d8a713f88b83bb007ebdfced51bf284858","schema_version":"1.0","event_id":"sha256:1d920ded991b33d188be60d036d8a8d8a713f88b83bb007ebdfced51bf284858"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2026:5TIS623F4VPSNCVHK54Y54275S","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Preference Tuning as Spectral Update Reorganization","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.AI","cs.LG"],"primary_cat":"cs.CL","authors_text":"Haibo Jin, Haohan Wang, Liying Kang, Peiyan Zhang","submitted_at":"2026-05-12T01:46:10Z","abstract_excerpt":"Preference-based post-training is usually understood through endpoint behavior, yet the learned update that produces this behavior remains largely opaque. We study RLHF and related preference optimization through the spectral structure of their induced parameter updates. By decomposing effective LoRA updates and reloading their spectral components as plug-in modules, we turn preference-induced updates into objects that can be isolated, recomposed, and directly intervened on. Across model families, optimization algorithms, and supervision regimes, these updates consistently develop a spectral h"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2607.20438","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/2607.20438/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":"2026-07-24T00:23:15Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"YfguTmQhc6SeWAcjJ+HeNkFIa1QwmkRYr/5q0xB7DNtv6jFSXwtChD8WBCyU4SJS0JcujUd2yx/v3aLAAxwtBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-11T07:42:20.066936Z"},"content_sha256":"d5767875debea52cd98c5489bfe30852e034db3b8aeb0e80c060d2c8afd8cab4","schema_version":"1.0","event_id":"sha256:d5767875debea52cd98c5489bfe30852e034db3b8aeb0e80c060d2c8afd8cab4"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/5TIS623F4VPSNCVHK54Y54275S/bundle.json","state_url":"https://pith.science/pith/5TIS623F4VPSNCVHK54Y54275S/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/5TIS623F4VPSNCVHK54Y54275S/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":"2026-08-11T07:42:20Z","links":{"resolver":"https://pith.science/pith/5TIS623F4VPSNCVHK54Y54275S","bundle":"https://pith.science/pith/5TIS623F4VPSNCVHK54Y54275S/bundle.json","state":"https://pith.science/pith/5TIS623F4VPSNCVHK54Y54275S/state.json","well_known_bundle":"https://pith.science/.well-known/pith/5TIS623F4VPSNCVHK54Y54275S/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2026:5TIS623F4VPSNCVHK54Y54275S","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":"082cc3db022c702a1a331fe013e92e7af32f23c6667d37105fe4e08005536d50","cross_cats_sorted":["cs.AI","cs.LG"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.CL","submitted_at":"2026-05-12T01:46:10Z","title_canon_sha256":"ec75fa547a230d210cbd6fdcd769d0fa350d7317f7efa5b02960b4239fb18265"},"schema_version":"1.0","source":{"id":"2607.20438","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2607.20438","created_at":"2026-07-24T00:23:15Z"},{"alias_kind":"arxiv_version","alias_value":"2607.20438v1","created_at":"2026-07-24T00:23:15Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2607.20438","created_at":"2026-07-24T00:23:15Z"},{"alias_kind":"pith_short_12","alias_value":"5TIS623F4VPS","created_at":"2026-07-24T00:23:15Z"},{"alias_kind":"pith_short_16","alias_value":"5TIS623F4VPSNCVH","created_at":"2026-07-24T00:23:15Z"},{"alias_kind":"pith_short_8","alias_value":"5TIS623F","created_at":"2026-07-24T00:23:15Z"}],"graph_snapshots":[{"event_id":"sha256:d5767875debea52cd98c5489bfe30852e034db3b8aeb0e80c060d2c8afd8cab4","target":"graph","created_at":"2026-07-24T00:23:15Z","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/2607.20438/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Preference-based post-training is usually understood through endpoint behavior, yet the learned update that produces this behavior remains largely opaque. We study RLHF and related preference optimization through the spectral structure of their induced parameter updates. By decomposing effective LoRA updates and reloading their spectral components as plug-in modules, we turn preference-induced updates into objects that can be isolated, recomposed, and directly intervened on. Across model families, optimization algorithms, and supervision regimes, these updates consistently develop a spectral h","authors_text":"Haibo Jin, Haohan Wang, Liying Kang, Peiyan Zhang","cross_cats":["cs.AI","cs.LG"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.CL","submitted_at":"2026-05-12T01:46:10Z","title":"Preference Tuning as Spectral Update Reorganization"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2607.20438","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":"sha256:1d920ded991b33d188be60d036d8a8d8a713f88b83bb007ebdfced51bf284858","target":"record","created_at":"2026-07-24T00:23:15Z","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":"082cc3db022c702a1a331fe013e92e7af32f23c6667d37105fe4e08005536d50","cross_cats_sorted":["cs.AI","cs.LG"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.CL","submitted_at":"2026-05-12T01:46:10Z","title_canon_sha256":"ec75fa547a230d210cbd6fdcd769d0fa350d7317f7efa5b02960b4239fb18265"},"schema_version":"1.0","source":{"id":"2607.20438","kind":"arxiv","version":1}},"canonical_sha256":"ecd12f6b65e55f268aa757798ef35fecafd660b2172b7825d881c043407d3e1a","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"ecd12f6b65e55f268aa757798ef35fecafd660b2172b7825d881c043407d3e1a","first_computed_at":"2026-07-24T00:23:15.471335Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-24T00:23:15.471335Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"1zbKjNke2B7fCiY2NOGpuDSXK1EWG1UuPx97Z66sc/FuIAFoytB3XeoNglTHW1sjKXb5SaNHdZBbPF4PTzCJCg==","signature_status":"signed_v1","signed_at":"2026-07-24T00:23:15.472301Z","signed_message":"canonical_sha256_bytes"},"source_id":"2607.20438","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:1d920ded991b33d188be60d036d8a8d8a713f88b83bb007ebdfced51bf284858","sha256:d5767875debea52cd98c5489bfe30852e034db3b8aeb0e80c060d2c8afd8cab4"],"state_sha256":"fa05a22106716be1231b082385df0f50a2e11124e7a833d6ff0a3a0c0b5a0b3d"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"BrJFx8nYFIW91PECwCPEcYRRyNlufvykMnVCDrFae2CrNrwEuUw6WA57y26fdK9mrk9W5Z24XMBkPEgnc505Cg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-11T07:42:20.070636Z","bundle_sha256":"c0d525b82acbfc088651ac1dc345d90739b931e42bcb44749e1ab0af462f1f3f"}}