{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:LUH2QEI3L6ZMGWNPJ754UYM5HC","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":"2be020aabcfa07eb8c23363200732955fa4c0fd5e06ab362c1e19067d4889c31","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.LO","submitted_at":"2011-01-17T16:13:01Z","title_canon_sha256":"69bd833975d54b8f26df480a658db612f067cbb615feee135a9fced3a60f1ea6"},"schema_version":"1.0","source":{"id":"1101.3253","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1101.3253","created_at":"2026-05-18T04:22:00Z"},{"alias_kind":"arxiv_version","alias_value":"1101.3253v3","created_at":"2026-05-18T04:22:00Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1101.3253","created_at":"2026-05-18T04:22:00Z"},{"alias_kind":"pith_short_12","alias_value":"LUH2QEI3L6ZM","created_at":"2026-05-18T12:26:34Z"},{"alias_kind":"pith_short_16","alias_value":"LUH2QEI3L6ZMGWNP","created_at":"2026-05-18T12:26:34Z"},{"alias_kind":"pith_short_8","alias_value":"LUH2QEI3","created_at":"2026-05-18T12:26:34Z"}],"graph_snapshots":[{"event_id":"sha256:84982dbff13c5a5383c6f69bffb0c19ed31405d68a3397f210c29cf5b9c48d08","target":"graph","created_at":"2026-05-18T04:22:00Z","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":"Let $(K,\\nu)$ be a real closed valued field, and let $S\\subseteq K^n$ be a definable open semi-algebraic set. We find an algebraic characterization of rational functions which are OVF-integral on $S$. We apply the existing model theoretic framework for proving ganzstellens\\\"atze, and need to control semi-sections and their relations to orderings. (joint work with Noa Lavi)","authors_text":"Yoav Yaffe","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.LO","submitted_at":"2011-01-17T16:13:01Z","title":"A ganzstellensatz for semi-algebraic sets in real closed valued fields"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1101.3253","kind":"arxiv","version":3},"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":"sha256:02e1c6a534dd4bb1f5f5094b304164cb6016b873e405d3141b7d4e6c5af153ba","target":"record","created_at":"2026-05-18T04:22:00Z","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":"2be020aabcfa07eb8c23363200732955fa4c0fd5e06ab362c1e19067d4889c31","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.LO","submitted_at":"2011-01-17T16:13:01Z","title_canon_sha256":"69bd833975d54b8f26df480a658db612f067cbb615feee135a9fced3a60f1ea6"},"schema_version":"1.0","source":{"id":"1101.3253","kind":"arxiv","version":3}},"canonical_sha256":"5d0fa8111b5fb2c359af4ffbca619d3898b88a34c2bf2621e1a44058012f500f","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"5d0fa8111b5fb2c359af4ffbca619d3898b88a34c2bf2621e1a44058012f500f","first_computed_at":"2026-05-18T04:22:00.661588Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:22:00.661588Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"CrG1FzDP9IMnORQu6CAsUUeC/vzyTDQceG43keFCH5IGZfChM2H20Q625P/N+ZshgeL699xGATwrGjDGQJLtBQ==","signature_status":"signed_v1","signed_at":"2026-05-18T04:22:00.662141Z","signed_message":"canonical_sha256_bytes"},"source_id":"1101.3253","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:02e1c6a534dd4bb1f5f5094b304164cb6016b873e405d3141b7d4e6c5af153ba","sha256:84982dbff13c5a5383c6f69bffb0c19ed31405d68a3397f210c29cf5b9c48d08"],"state_sha256":"0e449162ad517fcf56f381a3d4fa545c8f2cacfeaee7e084c219691578b108d4"}