{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2026:2LEOQJOMGCKYVA4JK7TGQG3CQD","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":"2381db83b1cb332863871a024640bc484e31828b398bcb2c8e34d9b00755a844","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.LG","submitted_at":"2026-07-27T13:36:18Z","title_canon_sha256":"5126ff8cfb1ba5bde36cee87ca99136e124ffdafecdc9c525ff94723b749ffa3"},"schema_version":"1.0","source":{"id":"2607.24425","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2607.24425","created_at":"2026-07-28T02:24:02Z"},{"alias_kind":"arxiv_version","alias_value":"2607.24425v1","created_at":"2026-07-28T02:24:02Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2607.24425","created_at":"2026-07-28T02:24:02Z"},{"alias_kind":"pith_short_12","alias_value":"2LEOQJOMGCKY","created_at":"2026-07-28T02:24:02Z"},{"alias_kind":"pith_short_16","alias_value":"2LEOQJOMGCKYVA4J","created_at":"2026-07-28T02:24:02Z"},{"alias_kind":"pith_short_8","alias_value":"2LEOQJOM","created_at":"2026-07-28T02:24:02Z"}],"graph_snapshots":[{"event_id":"sha256:9e44207847e12b6cd254a6f4684d6665d6a812d9efd73f70514023f6faae3824","target":"graph","created_at":"2026-07-28T02:24:02Z","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/2607.24425/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Large language models place structured concepts on geometrically faithful manifolds: weekdays lie on a circle, months on another, usually taken to be a fixed world-model the network stores and looks up. We show that context is king: the structure a model actually uses is set by the in-context specification. A declarative rule fixes not only which relations the geometry encodes but its topology type: the same tokens form a cycle or a branching tree on command, built even on arbitrary, meaning-free tokens with no prior to inherit, which a relabeled stored shape cannot do. When the specification ","authors_text":"Elad David, Max Fomin","cross_cats":[],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.LG","submitted_at":"2026-07-27T13:36:18Z","title":"Context Is King: How In-Context Specification Shapes the Geometry of Concepts"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2607.24425","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:f5a897ddde4a58282cf252ed365f727eb55e6b16fda998fa3ac2402c232b0a85","target":"record","created_at":"2026-07-28T02:24:02Z","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":"2381db83b1cb332863871a024640bc484e31828b398bcb2c8e34d9b00755a844","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.LG","submitted_at":"2026-07-27T13:36:18Z","title_canon_sha256":"5126ff8cfb1ba5bde36cee87ca99136e124ffdafecdc9c525ff94723b749ffa3"},"schema_version":"1.0","source":{"id":"2607.24425","kind":"arxiv","version":1}},"canonical_sha256":"d2c8e825cc30958a838957e6681b6280cabf8cc7eae43db452b1fc4844364e1f","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"d2c8e825cc30958a838957e6681b6280cabf8cc7eae43db452b1fc4844364e1f","first_computed_at":"2026-07-28T02:24:02.810245Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-28T02:24:02.810245Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"PxcpHfR8PgypUaPFJAnj5iTImE8nNzH/rDDwPzk9Fc/8UOVIAJGUiufbV7w3EFUB+sdQu/rBPVzDWl/9Kqx2Bg==","signature_status":"signed_v1","signed_at":"2026-07-28T02:24:02.811131Z","signed_message":"canonical_sha256_bytes"},"source_id":"2607.24425","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:f5a897ddde4a58282cf252ed365f727eb55e6b16fda998fa3ac2402c232b0a85","sha256:9e44207847e12b6cd254a6f4684d6665d6a812d9efd73f70514023f6faae3824"],"state_sha256":"2ac930cead120821e7f69ad9dd8fe72ecc3cd1cc907c1e2865b11d2cf244e24f"}