{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2026:DE6USRM3K2HO4FHVLY3AOEJEK6","short_pith_number":"pith:DE6USRM3","canonical_record":{"source":{"id":"2607.19360","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.AI","submitted_at":"2026-06-02T01:24:33Z","cross_cats_sorted":[],"title_canon_sha256":"a9642a0af20b4c8778cc765bfd9b71c09cd555090b7b8c9da8acfaef07e854f1","abstract_canon_sha256":"4bbfa6f0faef56b0b8f13e59280ed3be68644c30743baa70ba48491a3308bb3a"},"schema_version":"1.0"},"canonical_sha256":"193d49459b568eee14f55e360711245795b22d6cc9680c4a0a2bfd34ff512e43","source":{"kind":"arxiv","id":"2607.19360","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2607.19360","created_at":"2026-07-23T00:23:44Z"},{"alias_kind":"arxiv_version","alias_value":"2607.19360v1","created_at":"2026-07-23T00:23:44Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2607.19360","created_at":"2026-07-23T00:23:44Z"},{"alias_kind":"pith_short_12","alias_value":"DE6USRM3K2HO","created_at":"2026-07-23T00:23:44Z"},{"alias_kind":"pith_short_16","alias_value":"DE6USRM3K2HO4FHV","created_at":"2026-07-23T00:23:44Z"},{"alias_kind":"pith_short_8","alias_value":"DE6USRM3","created_at":"2026-07-23T00:23:44Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2026:DE6USRM3K2HO4FHVLY3AOEJEK6","target":"record","payload":{"canonical_record":{"source":{"id":"2607.19360","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.AI","submitted_at":"2026-06-02T01:24:33Z","cross_cats_sorted":[],"title_canon_sha256":"a9642a0af20b4c8778cc765bfd9b71c09cd555090b7b8c9da8acfaef07e854f1","abstract_canon_sha256":"4bbfa6f0faef56b0b8f13e59280ed3be68644c30743baa70ba48491a3308bb3a"},"schema_version":"1.0"},"canonical_sha256":"193d49459b568eee14f55e360711245795b22d6cc9680c4a0a2bfd34ff512e43","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-23T00:23:44.735585Z","signature_b64":"zCLRSbyevNz1E00Mnvh0w6WxCQPlk0gkB5h8r9OCG/qVz2niTDsQPFiw6lHimvjg0Y5BgWq5wwXLHdr5KTcZAA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"193d49459b568eee14f55e360711245795b22d6cc9680c4a0a2bfd34ff512e43","last_reissued_at":"2026-07-23T00:23:44.734655Z","signature_status":"signed_v1","first_computed_at":"2026-07-23T00:23:44.734655Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2607.19360","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":"2026-07-23T00:23:44Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"R8I8Vyehpqwjuer+EsdWCAxduEnCONCGSZV0Hooh9cmjS5ycv//6WyIN7GejUtxBwtmzQklNAOGHkxzf+B2xBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-11T00:11:09.773571Z"},"content_sha256":"1ecb33a9b186f4c269ece06719f7dd6f7355200584d50ec0ea612f48d0e6dd7d","schema_version":"1.0","event_id":"sha256:1ecb33a9b186f4c269ece06719f7dd6f7355200584d50ec0ea612f48d0e6dd7d"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2026:DE6USRM3K2HO4FHVLY3AOEJEK6","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Lifted Representation Hypothesis in Language Models","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":[],"primary_cat":"cs.AI","authors_text":"Bumjin Park, Jaesik Choi","submitted_at":"2026-06-02T01:24:33Z","abstract_excerpt":"Large language models (LLMs) often answer queries by mapping individual observations to more general rule-like structures. However, it remains unclear how these structures are stored, selected, and revised. To study this process, we propose thelifted representation hypothesis: LLMs update memory through shared latent structures rather than isolated instance-level facts. This view frames lifting as an efficient use of symmetry across instances, and shattering as the refinement of coarse lifted structures into more specific subtypes. We evaluate LLMs' lifting and shattering through controlled ex"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2607.19360","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/2607.19360/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":"2026-07-23T00:23:44Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"scca7Pf+dZ/oLxt6nTsYzLeS2Z9haTkhBCn1AZQwJD9Mf7ogGP5elajsHveg1jq/j354p97p7QUlD6ic7N2sAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-11T00:11:09.774367Z"},"content_sha256":"3364b1eb6e99d5616fd2b2f6ee068e633e37b64fc286f22189f7ec48e6afd994","schema_version":"1.0","event_id":"sha256:3364b1eb6e99d5616fd2b2f6ee068e633e37b64fc286f22189f7ec48e6afd994"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/DE6USRM3K2HO4FHVLY3AOEJEK6/bundle.json","state_url":"https://pith.science/pith/DE6USRM3K2HO4FHVLY3AOEJEK6/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/DE6USRM3K2HO4FHVLY3AOEJEK6/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":"2026-08-11T00:11:09Z","links":{"resolver":"https://pith.science/pith/DE6USRM3K2HO4FHVLY3AOEJEK6","bundle":"https://pith.science/pith/DE6USRM3K2HO4FHVLY3AOEJEK6/bundle.json","state":"https://pith.science/pith/DE6USRM3K2HO4FHVLY3AOEJEK6/state.json","well_known_bundle":"https://pith.science/.well-known/pith/DE6USRM3K2HO4FHVLY3AOEJEK6/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2026:DE6USRM3K2HO4FHVLY3AOEJEK6","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":"4bbfa6f0faef56b0b8f13e59280ed3be68644c30743baa70ba48491a3308bb3a","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.AI","submitted_at":"2026-06-02T01:24:33Z","title_canon_sha256":"a9642a0af20b4c8778cc765bfd9b71c09cd555090b7b8c9da8acfaef07e854f1"},"schema_version":"1.0","source":{"id":"2607.19360","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2607.19360","created_at":"2026-07-23T00:23:44Z"},{"alias_kind":"arxiv_version","alias_value":"2607.19360v1","created_at":"2026-07-23T00:23:44Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2607.19360","created_at":"2026-07-23T00:23:44Z"},{"alias_kind":"pith_short_12","alias_value":"DE6USRM3K2HO","created_at":"2026-07-23T00:23:44Z"},{"alias_kind":"pith_short_16","alias_value":"DE6USRM3K2HO4FHV","created_at":"2026-07-23T00:23:44Z"},{"alias_kind":"pith_short_8","alias_value":"DE6USRM3","created_at":"2026-07-23T00:23:44Z"}],"graph_snapshots":[{"event_id":"sha256:3364b1eb6e99d5616fd2b2f6ee068e633e37b64fc286f22189f7ec48e6afd994","target":"graph","created_at":"2026-07-23T00:23:44Z","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/2607.19360/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Large language models (LLMs) often answer queries by mapping individual observations to more general rule-like structures. However, it remains unclear how these structures are stored, selected, and revised. To study this process, we propose thelifted representation hypothesis: LLMs update memory through shared latent structures rather than isolated instance-level facts. This view frames lifting as an efficient use of symmetry across instances, and shattering as the refinement of coarse lifted structures into more specific subtypes. We evaluate LLMs' lifting and shattering through controlled ex","authors_text":"Bumjin Park, Jaesik Choi","cross_cats":[],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.AI","submitted_at":"2026-06-02T01:24:33Z","title":"Lifted Representation Hypothesis in Language Models"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2607.19360","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":"sha256:1ecb33a9b186f4c269ece06719f7dd6f7355200584d50ec0ea612f48d0e6dd7d","target":"record","created_at":"2026-07-23T00:23:44Z","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":"4bbfa6f0faef56b0b8f13e59280ed3be68644c30743baa70ba48491a3308bb3a","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.AI","submitted_at":"2026-06-02T01:24:33Z","title_canon_sha256":"a9642a0af20b4c8778cc765bfd9b71c09cd555090b7b8c9da8acfaef07e854f1"},"schema_version":"1.0","source":{"id":"2607.19360","kind":"arxiv","version":1}},"canonical_sha256":"193d49459b568eee14f55e360711245795b22d6cc9680c4a0a2bfd34ff512e43","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"193d49459b568eee14f55e360711245795b22d6cc9680c4a0a2bfd34ff512e43","first_computed_at":"2026-07-23T00:23:44.734655Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-23T00:23:44.734655Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"zCLRSbyevNz1E00Mnvh0w6WxCQPlk0gkB5h8r9OCG/qVz2niTDsQPFiw6lHimvjg0Y5BgWq5wwXLHdr5KTcZAA==","signature_status":"signed_v1","signed_at":"2026-07-23T00:23:44.735585Z","signed_message":"canonical_sha256_bytes"},"source_id":"2607.19360","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:1ecb33a9b186f4c269ece06719f7dd6f7355200584d50ec0ea612f48d0e6dd7d","sha256:3364b1eb6e99d5616fd2b2f6ee068e633e37b64fc286f22189f7ec48e6afd994"],"state_sha256":"c9601f168712c49da1a1655f433bbe0a92e7af908d896134f907eccd1f522c8c"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Zo1pEA7v19C07sVQ5D0oKoCJahKOsQt/834EnjINL1/i0uDXQG8Oe00BuWXRoEdCGBnpGGeoFJ8XiLlz0uK9CQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-11T00:11:09.802559Z","bundle_sha256":"27d95e2e2af3cb4958fad60e7b38976538c3098ff042a3d577738e6e861fe77b"}}