{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2026:X6YQHLKFIJD74BHKRILZXBORQS","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":"69a7503d04c72998192e145882a257b07ace03ff03716e02902379c323e29263","cross_cats_sorted":["cs.CL"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.AI","submitted_at":"2026-06-15T20:54:04Z","title_canon_sha256":"2ed615aecada7bdec711285a813c5106515e9cb6b93bb0aad4efc93c32fa1284"},"schema_version":"1.0","source":{"id":"2606.17289","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2606.17289","created_at":"2026-06-19T16:10:08Z"},{"alias_kind":"arxiv_version","alias_value":"2606.17289v1","created_at":"2026-06-19T16:10:08Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2606.17289","created_at":"2026-06-19T16:10:08Z"},{"alias_kind":"pith_short_12","alias_value":"X6YQHLKFIJD7","created_at":"2026-06-19T16:10:08Z"},{"alias_kind":"pith_short_16","alias_value":"X6YQHLKFIJD74BHK","created_at":"2026-06-19T16:10:08Z"},{"alias_kind":"pith_short_8","alias_value":"X6YQHLKF","created_at":"2026-06-19T16:10:08Z"}],"graph_snapshots":[{"event_id":"sha256:1c7be8254d333693a06f136c83c491a8d09b847072b64f57eacc109309b71c93","target":"graph","created_at":"2026-06-19T16:10:08Z","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/2606.17289/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"AI systems based on artificial neural networks are being developed with aspirations of pushing the boundary of human mathematical knowledge. A key question for these systems is how much they can reach beyond their training data. Mathematical discovery requires a strong form of out of distribution generalization; the ability to hypothesize genuinely new - and potentially logically more powerful - mathematical structures. It has been hypothesized that language abilities support such generalizations in human cognition. In this work, we use simple arithmetic as a case study for examining how moder","authors_text":"Brenden M. Lake, Phoebe Zeng, Thomas L. Griffiths","cross_cats":["cs.CL"],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.AI","submitted_at":"2026-06-15T20:54:04Z","title":"Nothing from Something: Can a Language Model Discover 0?"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2606.17289","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:cd8d961ccaae2334bdf89dffb217347f106f5fcbaec028689205c488c4d2af1a","target":"record","created_at":"2026-06-19T16:10:08Z","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":"69a7503d04c72998192e145882a257b07ace03ff03716e02902379c323e29263","cross_cats_sorted":["cs.CL"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.AI","submitted_at":"2026-06-15T20:54:04Z","title_canon_sha256":"2ed615aecada7bdec711285a813c5106515e9cb6b93bb0aad4efc93c32fa1284"},"schema_version":"1.0","source":{"id":"2606.17289","kind":"arxiv","version":1}},"canonical_sha256":"bfb103ad454247fe04ea8a179b85d18481052595a8bab01b8ac454a10dfb553b","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"bfb103ad454247fe04ea8a179b85d18481052595a8bab01b8ac454a10dfb553b","first_computed_at":"2026-06-19T16:10:08.234521Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-06-19T16:10:08.234521Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"gf9IGV5+pxLrgliZ06GgduL6Y5aS7gdmCUy8h7eSbH4YB9AK5Vp8At68Q/Sl7FwyRCZxqZej09VdfTGgwqSXBQ==","signature_status":"signed_v1","signed_at":"2026-06-19T16:10:08.234856Z","signed_message":"canonical_sha256_bytes"},"source_id":"2606.17289","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:cd8d961ccaae2334bdf89dffb217347f106f5fcbaec028689205c488c4d2af1a","sha256:1c7be8254d333693a06f136c83c491a8d09b847072b64f57eacc109309b71c93"],"state_sha256":"cb0fdebd91ac9271816738f949c2e407745d3825c53de8887cd0a61ad9d73231"}