{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:F5JXMRGVIRECMWSNHJJUMVULTC","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":"50b6b035faf481acf509b8cbd0078dbcd8b28f18e1ba17b206660980ea825f61","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.LO","submitted_at":"2015-09-17T15:32:32Z","title_canon_sha256":"896bbf82554756bdf8cca3e08af96933241673832dffc81cb99f74d0591a0785"},"schema_version":"1.0","source":{"id":"1509.05291","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1509.05291","created_at":"2026-05-18T01:32:44Z"},{"alias_kind":"arxiv_version","alias_value":"1509.05291v1","created_at":"2026-05-18T01:32:44Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1509.05291","created_at":"2026-05-18T01:32:44Z"},{"alias_kind":"pith_short_12","alias_value":"F5JXMRGVIREC","created_at":"2026-05-18T12:29:19Z"},{"alias_kind":"pith_short_16","alias_value":"F5JXMRGVIRECMWSN","created_at":"2026-05-18T12:29:19Z"},{"alias_kind":"pith_short_8","alias_value":"F5JXMRGV","created_at":"2026-05-18T12:29:19Z"}],"graph_snapshots":[{"event_id":"sha256:3b86271f743a0e9ca67653743c2f60a0659246173c8e9f5619b6fa4b8d71aeda","target":"graph","created_at":"2026-05-18T01:32:44Z","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 study the Borel reducibility of isomorphism relations in the generalized Baire space $\\kappa^\\kappa$. In the main result we show for inaccessible $\\kappa$, that if $T$ is a classifiable theory and $T'$ is stable with OCP, then the isomorphism of models of $T$ is Borel reducible to the isomorphism of models of $T'$.","authors_text":"Miguel Moreno, Tapani Hyttinen","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.LO","submitted_at":"2015-09-17T15:32:32Z","title":"On the reducibility of isomorphism relations"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1509.05291","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:deb0fe9aa39e4da991e459235ebcdc31afc4b5106025e3e6958788c115b8558e","target":"record","created_at":"2026-05-18T01:32:44Z","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":"50b6b035faf481acf509b8cbd0078dbcd8b28f18e1ba17b206660980ea825f61","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.LO","submitted_at":"2015-09-17T15:32:32Z","title_canon_sha256":"896bbf82554756bdf8cca3e08af96933241673832dffc81cb99f74d0591a0785"},"schema_version":"1.0","source":{"id":"1509.05291","kind":"arxiv","version":1}},"canonical_sha256":"2f537644d54448265a4d3a5346568b989e7e23e25d919844072218fb7f255bef","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"2f537644d54448265a4d3a5346568b989e7e23e25d919844072218fb7f255bef","first_computed_at":"2026-05-18T01:32:44.218026Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:32:44.218026Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"JQUV+0EgN7vrFHMqvL76ee1nR611pnwivtw0TmG54OJo5dyiajEXB7ACNJxRgYm0681OIguqhoAC73BpgyzEBg==","signature_status":"signed_v1","signed_at":"2026-05-18T01:32:44.218411Z","signed_message":"canonical_sha256_bytes"},"source_id":"1509.05291","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:deb0fe9aa39e4da991e459235ebcdc31afc4b5106025e3e6958788c115b8558e","sha256:3b86271f743a0e9ca67653743c2f60a0659246173c8e9f5619b6fa4b8d71aeda"],"state_sha256":"a1839a8508bc14e2dbf74cb3338be5a536a9ac215bbedda484b7d3b34fd63a35"}