{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:1996:BZFMZZAJROGVA6HNDF3SLERS4A","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":"ae6d50483e49f2eb4b518829cbeb042379bf3d41d6c15af8b04f0daa55d53d76","cross_cats_sorted":[],"license":"","primary_cat":"math.LO","submitted_at":"1996-08-29T00:00:00Z","title_canon_sha256":"d2e7e53fab9aa2855d4ffe324664a8cf2ffc71c1f928d195fef1aa65ab98410d"},"schema_version":"1.0","source":{"id":"math/9608205","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"math/9608205","created_at":"2026-05-18T01:05:47Z"},{"alias_kind":"arxiv_version","alias_value":"math/9608205v1","created_at":"2026-05-18T01:05:47Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.math/9608205","created_at":"2026-05-18T01:05:47Z"},{"alias_kind":"pith_short_12","alias_value":"BZFMZZAJROGV","created_at":"2026-05-18T12:25:47Z"},{"alias_kind":"pith_short_16","alias_value":"BZFMZZAJROGVA6HN","created_at":"2026-05-18T12:25:47Z"},{"alias_kind":"pith_short_8","alias_value":"BZFMZZAJ","created_at":"2026-05-18T12:25:47Z"}],"graph_snapshots":[{"event_id":"sha256:0da98ef220062b84d62bf6db701134ee319709957b129c5175889a462244d9fc","target":"graph","created_at":"2026-05-18T01:05:47Z","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 prove some results on the border of Ramsey theory (finite partition calculus) and model theory. Also a beginning of classification theory of finite models in undertaken.","authors_text":"Doug Ensley, Rami Grossberg","cross_cats":[],"headline":"","license":"","primary_cat":"math.LO","submitted_at":"1996-08-29T00:00:00Z","title":"Finite models, stability, and Ramsey's theorem"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"math/9608205","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":"sha256:936beb5d0288a212d82e64fc1e2261f04137339e590cad88282ed3156a4cb0da","target":"record","created_at":"2026-05-18T01:05:47Z","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":"ae6d50483e49f2eb4b518829cbeb042379bf3d41d6c15af8b04f0daa55d53d76","cross_cats_sorted":[],"license":"","primary_cat":"math.LO","submitted_at":"1996-08-29T00:00:00Z","title_canon_sha256":"d2e7e53fab9aa2855d4ffe324664a8cf2ffc71c1f928d195fef1aa65ab98410d"},"schema_version":"1.0","source":{"id":"math/9608205","kind":"arxiv","version":1}},"canonical_sha256":"0e4acce4098b8d5078ed1977259232e0084154b65947de9ac1cef5b83f0c6fde","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"0e4acce4098b8d5078ed1977259232e0084154b65947de9ac1cef5b83f0c6fde","first_computed_at":"2026-05-18T01:05:47.126925Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:05:47.126925Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"ngJF2r7IW49ObKKhnZuTXwuW7dXJcHGpaN/0oJ/a2QWBwNoLr8ABVwycY6tEmh1jaippG3EnH4e+NcyoEubyBg==","signature_status":"signed_v1","signed_at":"2026-05-18T01:05:47.127487Z","signed_message":"canonical_sha256_bytes"},"source_id":"math/9608205","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:936beb5d0288a212d82e64fc1e2261f04137339e590cad88282ed3156a4cb0da","sha256:0da98ef220062b84d62bf6db701134ee319709957b129c5175889a462244d9fc"],"state_sha256":"0c62be29b1e8aef4d678246b1b2d67e3426b187290490fde5962b301462b0a94"}