{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:MCJGCIZEELWDTCEDNKVYSMCLTE","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":"54a6482e82b31b51ebf43066948f9c313df57db175dab46243a818319961d13b","cross_cats_sorted":["cs.LO"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RA","submitted_at":"2015-10-14T09:46:20Z","title_canon_sha256":"9cd00e7f4684760bdc7834e03d66cc8f6cbcbb6780013f0d09b41cb01f63e714"},"schema_version":"1.0","source":{"id":"1510.04021","kind":"arxiv","version":4}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1510.04021","created_at":"2026-05-18T00:29:02Z"},{"alias_kind":"arxiv_version","alias_value":"1510.04021v4","created_at":"2026-05-18T00:29:02Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1510.04021","created_at":"2026-05-18T00:29:02Z"},{"alias_kind":"pith_short_12","alias_value":"MCJGCIZEELWD","created_at":"2026-05-18T12:29:32Z"},{"alias_kind":"pith_short_16","alias_value":"MCJGCIZEELWDTCED","created_at":"2026-05-18T12:29:32Z"},{"alias_kind":"pith_short_8","alias_value":"MCJGCIZE","created_at":"2026-05-18T12:29:32Z"}],"graph_snapshots":[{"event_id":"sha256:c1ce1dcbbecbe15605ac8ff4c9d4a4cb3dec79f298923f07b916780acd0eaf2f","target":"graph","created_at":"2026-05-18T00:29:02Z","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":"Meadows - commutative rings equipped with a total inversion operation - can be axiomatized by purely equational means. We study subvarieties of the variety of meadows obtained by extending the equational theory and expanding the signature.","authors_text":"Inge Bethke, Jan A. Bergstra","cross_cats":["cs.LO"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RA","submitted_at":"2015-10-14T09:46:20Z","title":"Subvarieties of the variety of meadows"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1510.04021","kind":"arxiv","version":4},"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:da58590a59775b689bfff2b236e4695b3f3aa9c51c6df86c19526ac057e4573b","target":"record","created_at":"2026-05-18T00:29:02Z","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":"54a6482e82b31b51ebf43066948f9c313df57db175dab46243a818319961d13b","cross_cats_sorted":["cs.LO"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RA","submitted_at":"2015-10-14T09:46:20Z","title_canon_sha256":"9cd00e7f4684760bdc7834e03d66cc8f6cbcbb6780013f0d09b41cb01f63e714"},"schema_version":"1.0","source":{"id":"1510.04021","kind":"arxiv","version":4}},"canonical_sha256":"609261232422ec3988836aab89304b99258c7389f06cd5e88069e46c6dc7cb9c","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"609261232422ec3988836aab89304b99258c7389f06cd5e88069e46c6dc7cb9c","first_computed_at":"2026-05-18T00:29:02.030184Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:29:02.030184Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"BkvGGboanYNPS/g72sfiaNm9OwoxcJXG7X1rjskcXMOKocdP+Yc72FqECiUwjsbjqKJ799/oRlj8GS90ox0XDA==","signature_status":"signed_v1","signed_at":"2026-05-18T00:29:02.030593Z","signed_message":"canonical_sha256_bytes"},"source_id":"1510.04021","source_kind":"arxiv","source_version":4}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:da58590a59775b689bfff2b236e4695b3f3aa9c51c6df86c19526ac057e4573b","sha256:c1ce1dcbbecbe15605ac8ff4c9d4a4cb3dec79f298923f07b916780acd0eaf2f"],"state_sha256":"56be93ace78f620b00f2c6dfed8010b93b2ff7cfe4e009362d3686897b9f2968"}