{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:JSXYDMA6RSUU2XVXAOYRIWHKVG","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":"b3729d7359b83a0d6f51cc0133db2916734b0c1cd42ce7cdbcaf6b2ad58484fb","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GN","submitted_at":"2018-02-13T19:30:51Z","title_canon_sha256":"634892b4291e2151bf1992349f308ba17ce12e010f1d5968653be102d8607323"},"schema_version":"1.0","source":{"id":"1802.04829","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1802.04829","created_at":"2026-05-18T00:23:22Z"},{"alias_kind":"arxiv_version","alias_value":"1802.04829v1","created_at":"2026-05-18T00:23:22Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1802.04829","created_at":"2026-05-18T00:23:22Z"},{"alias_kind":"pith_short_12","alias_value":"JSXYDMA6RSUU","created_at":"2026-05-18T12:32:31Z"},{"alias_kind":"pith_short_16","alias_value":"JSXYDMA6RSUU2XVX","created_at":"2026-05-18T12:32:31Z"},{"alias_kind":"pith_short_8","alias_value":"JSXYDMA6","created_at":"2026-05-18T12:32:31Z"}],"graph_snapshots":[{"event_id":"sha256:d5ecbb30956c4083d6f2b851c064509f664cc41347e0ae286806f96127ebba24","target":"graph","created_at":"2026-05-18T00:23:22Z","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"},"paper":{"abstract_excerpt":"We construct a model in which the splitting number is large and every ultrafilter has a small subset with no pseudo-intersection.","authors_text":"Alan Dow, Saharon Shelah","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GN","submitted_at":"2018-02-13T19:30:51Z","title":"Pseudo P-points and splitting number"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1802.04829","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":"sha256:1bea84b9fb977cca49b79986be242a51eae876641600719499e9e52506c24a79","target":"record","created_at":"2026-05-18T00:23:22Z","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":"b3729d7359b83a0d6f51cc0133db2916734b0c1cd42ce7cdbcaf6b2ad58484fb","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GN","submitted_at":"2018-02-13T19:30:51Z","title_canon_sha256":"634892b4291e2151bf1992349f308ba17ce12e010f1d5968653be102d8607323"},"schema_version":"1.0","source":{"id":"1802.04829","kind":"arxiv","version":1}},"canonical_sha256":"4caf81b01e8ca94d5eb703b11458eaa98b3033c42215a357b797c84efb10f9cf","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"4caf81b01e8ca94d5eb703b11458eaa98b3033c42215a357b797c84efb10f9cf","first_computed_at":"2026-05-18T00:23:22.525390Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:23:22.525390Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"F2bkpLN5HGbYSobwuvyTxNP+htaPS9Ac4z4VIZILlpOntUVAJgGwqXS2y7vzY8B5djMTRNI/smVe+qPQr/i7CQ==","signature_status":"signed_v1","signed_at":"2026-05-18T00:23:22.526063Z","signed_message":"canonical_sha256_bytes"},"source_id":"1802.04829","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:1bea84b9fb977cca49b79986be242a51eae876641600719499e9e52506c24a79","sha256:d5ecbb30956c4083d6f2b851c064509f664cc41347e0ae286806f96127ebba24"],"state_sha256":"3cf6288d1f5b76d71daa601e38b3ee7ae8512edb70a6d93c5aed303c650ef9ac"}