{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:BJZ5EJJ52UVM6O2CXOUQEZBIV7","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":"5624514ccfb3f25be9d603334d1d78e1bf2c908afe8b422ce413df0a3555d54c","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AC","submitted_at":"2015-11-12T09:49:26Z","title_canon_sha256":"a55381e36c0080554473b5fae5b5074ffb80566249627f4710e6fb38df4b2670"},"schema_version":"1.0","source":{"id":"1511.03832","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1511.03832","created_at":"2026-05-18T01:27:06Z"},{"alias_kind":"arxiv_version","alias_value":"1511.03832v1","created_at":"2026-05-18T01:27:06Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1511.03832","created_at":"2026-05-18T01:27:06Z"},{"alias_kind":"pith_short_12","alias_value":"BJZ5EJJ52UVM","created_at":"2026-05-18T12:29:14Z"},{"alias_kind":"pith_short_16","alias_value":"BJZ5EJJ52UVM6O2C","created_at":"2026-05-18T12:29:14Z"},{"alias_kind":"pith_short_8","alias_value":"BJZ5EJJ5","created_at":"2026-05-18T12:29:14Z"}],"graph_snapshots":[{"event_id":"sha256:5fd04a8df2b421e894d8b5daafb9768a963ea716673c23959e87ca6016c50022","target":"graph","created_at":"2026-05-18T01:27:06Z","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":"Recently, N. Epstein and J. Shapiro introduced and studied the perinormal domains: those domains A whose going down overrings are flat A-modules. We show that every Pr\\\"ufer v-multiplication domain is perinormal and has no proper lying over overrings. We also show that a treed perinormal domain is a Pr\\\"ufer domain. We give two pull-back constructions that produce perinormal/non-perinormal domains.","authors_text":"Anam Rani, Tiberiu Dumitrescu","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AC","submitted_at":"2015-11-12T09:49:26Z","title":"A note on perinormal domains"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1511.03832","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:eead686b89a39fdbe857a06eb0479bf9d2e36bea6b9695b6fd10860e433ff312","target":"record","created_at":"2026-05-18T01:27:06Z","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":"5624514ccfb3f25be9d603334d1d78e1bf2c908afe8b422ce413df0a3555d54c","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AC","submitted_at":"2015-11-12T09:49:26Z","title_canon_sha256":"a55381e36c0080554473b5fae5b5074ffb80566249627f4710e6fb38df4b2670"},"schema_version":"1.0","source":{"id":"1511.03832","kind":"arxiv","version":1}},"canonical_sha256":"0a73d2253dd52acf3b42bba9026428aff9e1d46732224a4ac70c2829ffc839c7","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"0a73d2253dd52acf3b42bba9026428aff9e1d46732224a4ac70c2829ffc839c7","first_computed_at":"2026-05-18T01:27:06.710794Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:27:06.710794Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"SoEIRpYL+yZBYx2RYHWGLJ13IUxTw57NhTzPFUErHwv/VZH1M77YK1UWhC4q0PAReSN+4fa8v3YnS73fLVUUAg==","signature_status":"signed_v1","signed_at":"2026-05-18T01:27:06.711522Z","signed_message":"canonical_sha256_bytes"},"source_id":"1511.03832","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:eead686b89a39fdbe857a06eb0479bf9d2e36bea6b9695b6fd10860e433ff312","sha256:5fd04a8df2b421e894d8b5daafb9768a963ea716673c23959e87ca6016c50022"],"state_sha256":"e67aa554145b0179c2b96444134c5e89c589c9992764f1fd66d6f96dfdca8072"}