{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:T6AD3PKFDI5LSS3HTW7CMHNL6U","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":"a8d85ced4ae33602eab35789af281ecbf4ce0754a69b911a0f3a43dea57bd61a","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.LO","submitted_at":"2018-07-01T04:23:44Z","title_canon_sha256":"ea857bfdaf33f0ed18bed2f5f6777965dc51df8e164cc9a28e2d60dc759d812e"},"schema_version":"1.0","source":{"id":"1807.00268","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1807.00268","created_at":"2026-05-18T00:09:58Z"},{"alias_kind":"arxiv_version","alias_value":"1807.00268v2","created_at":"2026-05-18T00:09:58Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1807.00268","created_at":"2026-05-18T00:09:58Z"},{"alias_kind":"pith_short_12","alias_value":"T6AD3PKFDI5L","created_at":"2026-05-18T12:32:53Z"},{"alias_kind":"pith_short_16","alias_value":"T6AD3PKFDI5LSS3H","created_at":"2026-05-18T12:32:53Z"},{"alias_kind":"pith_short_8","alias_value":"T6AD3PKF","created_at":"2026-05-18T12:32:53Z"}],"graph_snapshots":[{"event_id":"sha256:d2dc9d8a83c9fb8b1daec3e7716a9515a8383c308680167a644177ef8af963d1","target":"graph","created_at":"2026-05-18T00:09:58Z","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":"The variety DMSH of semi-Heyting algebras with a De Morgan negation was introduced in [12] and an increasing sequence DMSHn of level n, n being a natural number, of its subvarieties was investigated in the series [12], [13], [14], [15], [16], and [17], of which the present paper is a sequel. In this paper, we prove two main results: Firstly, we prove that DMSH1-algebras of level 1 satisfy Stone identity, generalizing an earlier result that regular DMSH1-algebras of level 1 satisfy Stone identity. Secondly, we prove that the variety of DmsStSH of dually ms, Stone semi-Heyting algebras is at lev","authors_text":"Hanamantagouda P. Sankappanavar","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.LO","submitted_at":"2018-07-01T04:23:44Z","title":"De Morgan Semi-Heyting and Heyting Algebras"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1807.00268","kind":"arxiv","version":2},"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":"sha256:7d00e7278810de36d6b416c6bd16a3ce5f6a30d16f50f58b67f9d4004f1c0e56","target":"record","created_at":"2026-05-18T00:09:58Z","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":"a8d85ced4ae33602eab35789af281ecbf4ce0754a69b911a0f3a43dea57bd61a","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.LO","submitted_at":"2018-07-01T04:23:44Z","title_canon_sha256":"ea857bfdaf33f0ed18bed2f5f6777965dc51df8e164cc9a28e2d60dc759d812e"},"schema_version":"1.0","source":{"id":"1807.00268","kind":"arxiv","version":2}},"canonical_sha256":"9f803dbd451a3ab94b679dbe261dabf53759dbe3ece01473aad52c9a5f31610d","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"9f803dbd451a3ab94b679dbe261dabf53759dbe3ece01473aad52c9a5f31610d","first_computed_at":"2026-05-18T00:09:58.500297Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:09:58.500297Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"A1EzAhgmX0EBwvUMTRmppjETWStnAvT+OWMFAE4KW4Br0Y0+dvkr3Nwu2YgRORdFDbGWGIZnHZ2SzbtReLyWCA==","signature_status":"signed_v1","signed_at":"2026-05-18T00:09:58.500940Z","signed_message":"canonical_sha256_bytes"},"source_id":"1807.00268","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:7d00e7278810de36d6b416c6bd16a3ce5f6a30d16f50f58b67f9d4004f1c0e56","sha256:d2dc9d8a83c9fb8b1daec3e7716a9515a8383c308680167a644177ef8af963d1"],"state_sha256":"6ee2cf5f15d0ffb1b43cc694a747ac90c8305c48927637932ebe012008d0449a"}