{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2025:T3ZQCOF7I5DVBP2XLN4U5GWYNZ","short_pith_number":"pith:T3ZQCOF7","canonical_record":{"source":{"id":"2502.10871","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.CL","submitted_at":"2025-02-15T18:08:51Z","cross_cats_sorted":["cs.AI","cs.LG"],"title_canon_sha256":"12deb613cb8173e844d5a712e9a76a864cba6eb3b4fb545df2571703a84157f3","abstract_canon_sha256":"3bda80eb329da8191d2ee3453ddfbba6c9dfdd8604f6c44df56d2e269b544fbe"},"schema_version":"1.0"},"canonical_sha256":"9ef30138bf474750bf575b794e9ad86e63f20f376a976e16ec438a8176123563","source":{"kind":"arxiv","id":"2502.10871","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2502.10871","created_at":"2026-07-05T11:39:48Z"},{"alias_kind":"arxiv_version","alias_value":"2502.10871v2","created_at":"2026-07-05T11:39:48Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2502.10871","created_at":"2026-07-05T11:39:48Z"},{"alias_kind":"pith_short_12","alias_value":"T3ZQCOF7I5DV","created_at":"2026-07-05T11:39:48Z"},{"alias_kind":"pith_short_16","alias_value":"T3ZQCOF7I5DVBP2X","created_at":"2026-07-05T11:39:48Z"},{"alias_kind":"pith_short_8","alias_value":"T3ZQCOF7","created_at":"2026-07-05T11:39:48Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2025:T3ZQCOF7I5DVBP2XLN4U5GWYNZ","target":"record","payload":{"canonical_record":{"source":{"id":"2502.10871","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.CL","submitted_at":"2025-02-15T18:08:51Z","cross_cats_sorted":["cs.AI","cs.LG"],"title_canon_sha256":"12deb613cb8173e844d5a712e9a76a864cba6eb3b4fb545df2571703a84157f3","abstract_canon_sha256":"3bda80eb329da8191d2ee3453ddfbba6c9dfdd8604f6c44df56d2e269b544fbe"},"schema_version":"1.0"},"canonical_sha256":"9ef30138bf474750bf575b794e9ad86e63f20f376a976e16ec438a8176123563","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T11:39:48.411662Z","signature_b64":"K1x0t3/GfONM6l91nLBi0TTtEovOj547ARJUr1GKbnc9VQ8GkH7F8kXBph9V1/nXrrxEyYvweAnpNuNLinuPDw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"9ef30138bf474750bf575b794e9ad86e63f20f376a976e16ec438a8176123563","last_reissued_at":"2026-07-05T11:39:48.411128Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T11:39:48.411128Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2502.10871","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-05T11:39:48Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"OJUOdqFlQqD/2lJ//gl1LaJwHBs5O0VvYvKWNOIlRI0WE39a/r/N4p1hBa70J6Gb65FFeiGnQRW+BR5Hn/zZAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-22T02:17:23.565988Z"},"content_sha256":"9a744914a6e8915b269c6d79dcc9f65faa162015bd094a1630926f0f4ccf73f6","schema_version":"1.0","event_id":"sha256:9a744914a6e8915b269c6d79dcc9f65faa162015bd094a1630926f0f4ccf73f6"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2025:T3ZQCOF7I5DVBP2XLN4U5GWYNZ","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Layerwise Recall and the Geometry of Interwoven Knowledge in LLMs","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.AI","cs.LG"],"primary_cat":"cs.CL","authors_text":"Ge Lei, Samuel J. Cooper","submitted_at":"2025-02-15T18:08:51Z","abstract_excerpt":"This study explores how large language models (LLMs) encode interwoven scientific knowledge, using chemical elements and LLaMA-series models as a case study. We identify a 3D spiral structure in the hidden states that aligns with the conceptual structure of the periodic table, suggesting that LLMs can reflect the geometric organization of scientific concepts learned from text. Linear probing reveals that middle layers encode continuous, overlapping attributes that enable indirect recall, while deeper layers sharpen categorical distinctions and incorporate linguistic context. These findings sug"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2502.10871","kind":"arxiv","version":2},"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/2502.10871/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":"2026-07-05T11:39:48Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"NvcEN6srtps0JaQQ7eK3SNWSdPL6uLm4EQYy1aVh4lsvFfyMISEI4va4OMGzkvBlk8ldCA4bg16DiCmZ/LwpDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-22T02:17:23.566528Z"},"content_sha256":"315e3f88395a4bef2b33c0ed720b866762194c1b5e7ec1ca1f91d0bf086335e2","schema_version":"1.0","event_id":"sha256:315e3f88395a4bef2b33c0ed720b866762194c1b5e7ec1ca1f91d0bf086335e2"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/T3ZQCOF7I5DVBP2XLN4U5GWYNZ/bundle.json","state_url":"https://pith.science/pith/T3ZQCOF7I5DVBP2XLN4U5GWYNZ/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/T3ZQCOF7I5DVBP2XLN4U5GWYNZ/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":"2026-08-22T02:17:23Z","links":{"resolver":"https://pith.science/pith/T3ZQCOF7I5DVBP2XLN4U5GWYNZ","bundle":"https://pith.science/pith/T3ZQCOF7I5DVBP2XLN4U5GWYNZ/bundle.json","state":"https://pith.science/pith/T3ZQCOF7I5DVBP2XLN4U5GWYNZ/state.json","well_known_bundle":"https://pith.science/.well-known/pith/T3ZQCOF7I5DVBP2XLN4U5GWYNZ/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2025:T3ZQCOF7I5DVBP2XLN4U5GWYNZ","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":"3bda80eb329da8191d2ee3453ddfbba6c9dfdd8604f6c44df56d2e269b544fbe","cross_cats_sorted":["cs.AI","cs.LG"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.CL","submitted_at":"2025-02-15T18:08:51Z","title_canon_sha256":"12deb613cb8173e844d5a712e9a76a864cba6eb3b4fb545df2571703a84157f3"},"schema_version":"1.0","source":{"id":"2502.10871","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2502.10871","created_at":"2026-07-05T11:39:48Z"},{"alias_kind":"arxiv_version","alias_value":"2502.10871v2","created_at":"2026-07-05T11:39:48Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2502.10871","created_at":"2026-07-05T11:39:48Z"},{"alias_kind":"pith_short_12","alias_value":"T3ZQCOF7I5DV","created_at":"2026-07-05T11:39:48Z"},{"alias_kind":"pith_short_16","alias_value":"T3ZQCOF7I5DVBP2X","created_at":"2026-07-05T11:39:48Z"},{"alias_kind":"pith_short_8","alias_value":"T3ZQCOF7","created_at":"2026-07-05T11:39:48Z"}],"graph_snapshots":[{"event_id":"sha256:315e3f88395a4bef2b33c0ed720b866762194c1b5e7ec1ca1f91d0bf086335e2","target":"graph","created_at":"2026-07-05T11:39:48Z","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/2502.10871/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"This study explores how large language models (LLMs) encode interwoven scientific knowledge, using chemical elements and LLaMA-series models as a case study. We identify a 3D spiral structure in the hidden states that aligns with the conceptual structure of the periodic table, suggesting that LLMs can reflect the geometric organization of scientific concepts learned from text. Linear probing reveals that middle layers encode continuous, overlapping attributes that enable indirect recall, while deeper layers sharpen categorical distinctions and incorporate linguistic context. These findings sug","authors_text":"Ge Lei, Samuel J. Cooper","cross_cats":["cs.AI","cs.LG"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.CL","submitted_at":"2025-02-15T18:08:51Z","title":"Layerwise Recall and the Geometry of Interwoven Knowledge in LLMs"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2502.10871","kind":"arxiv","version":2},"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":"sha256:9a744914a6e8915b269c6d79dcc9f65faa162015bd094a1630926f0f4ccf73f6","target":"record","created_at":"2026-07-05T11:39:48Z","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":"3bda80eb329da8191d2ee3453ddfbba6c9dfdd8604f6c44df56d2e269b544fbe","cross_cats_sorted":["cs.AI","cs.LG"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.CL","submitted_at":"2025-02-15T18:08:51Z","title_canon_sha256":"12deb613cb8173e844d5a712e9a76a864cba6eb3b4fb545df2571703a84157f3"},"schema_version":"1.0","source":{"id":"2502.10871","kind":"arxiv","version":2}},"canonical_sha256":"9ef30138bf474750bf575b794e9ad86e63f20f376a976e16ec438a8176123563","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"9ef30138bf474750bf575b794e9ad86e63f20f376a976e16ec438a8176123563","first_computed_at":"2026-07-05T11:39:48.411128Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T11:39:48.411128Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"K1x0t3/GfONM6l91nLBi0TTtEovOj547ARJUr1GKbnc9VQ8GkH7F8kXBph9V1/nXrrxEyYvweAnpNuNLinuPDw==","signature_status":"signed_v1","signed_at":"2026-07-05T11:39:48.411662Z","signed_message":"canonical_sha256_bytes"},"source_id":"2502.10871","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:9a744914a6e8915b269c6d79dcc9f65faa162015bd094a1630926f0f4ccf73f6","sha256:315e3f88395a4bef2b33c0ed720b866762194c1b5e7ec1ca1f91d0bf086335e2"],"state_sha256":"9dc90c947259c68ba1202a900302de523a05849be35320373a9e22fd81303022"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Gh6Age6P4Ci/6SQOBnXAjCRpw0DfdGhDi411GFF7NP+/Z3hkvFRTLcA/5zXylnaoX9xNvtcJ2zq71TyCEdPvAg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-22T02:17:23.570309Z","bundle_sha256":"b8e1b242e8d77eff77575837ed354805ff2d1a22106e62cf2d661aa8806813ac"}}