{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:GHXSF4CLD3RSM5JE2QNDKJQAR4","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":"271e585cde9c1f131bd3f52d977ddbf5d1f54aba99ff0dde0b5ae360b4248f1f","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CT","submitted_at":"2013-12-30T16:24:58Z","title_canon_sha256":"edbe192b173964e72940a4e227b022634ff4f403014e90a4f6b0c0824251a332"},"schema_version":"1.0","source":{"id":"1312.7765","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1312.7765","created_at":"2026-05-18T02:53:29Z"},{"alias_kind":"arxiv_version","alias_value":"1312.7765v1","created_at":"2026-05-18T02:53:29Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1312.7765","created_at":"2026-05-18T02:53:29Z"},{"alias_kind":"pith_short_12","alias_value":"GHXSF4CLD3RS","created_at":"2026-05-18T12:27:45Z"},{"alias_kind":"pith_short_16","alias_value":"GHXSF4CLD3RSM5JE","created_at":"2026-05-18T12:27:45Z"},{"alias_kind":"pith_short_8","alias_value":"GHXSF4CL","created_at":"2026-05-18T12:27:45Z"}],"graph_snapshots":[{"event_id":"sha256:690a8ea38d0857a0fb264b75cf96ad58c023ce3f0cb5fab0df1dcdf31ea03804","target":"graph","created_at":"2026-05-18T02:53:29Z","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":"In this paper we establish a new characterisation of star-regular categories, using a property of internal reflexive graphs, which is suggested by a recent result due to O. Ngaha Ngaha and the first author. We show that this property is, in a suitable sense, invariant under regular completion of a category in the sense of A. Carboni and E. M. Vitale. Restricting to pointed categories, where star-regularity becomes normality in the sense of the second author, this reveals an unusual behaviour of the exactness property of normality (i.e. the property that regular epimorphisms are normal epimorph","authors_text":"Marino Gran, Zurab Janelidze","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CT","submitted_at":"2013-12-30T16:24:58Z","title":"Star-regularity and regular completions"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1312.7765","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:e0cb67336b9da82041da7860311df50d5cebc68048022646cb37edc72d5d3bee","target":"record","created_at":"2026-05-18T02:53:29Z","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":"271e585cde9c1f131bd3f52d977ddbf5d1f54aba99ff0dde0b5ae360b4248f1f","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CT","submitted_at":"2013-12-30T16:24:58Z","title_canon_sha256":"edbe192b173964e72940a4e227b022634ff4f403014e90a4f6b0c0824251a332"},"schema_version":"1.0","source":{"id":"1312.7765","kind":"arxiv","version":1}},"canonical_sha256":"31ef22f04b1ee3267524d41a3526008f22b3def8e37eb99459c531538ddcf24b","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"31ef22f04b1ee3267524d41a3526008f22b3def8e37eb99459c531538ddcf24b","first_computed_at":"2026-05-18T02:53:29.784456Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:53:29.784456Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"rZZpZxYsvT3ETukZ9QLCSgD5Yc5bglyyHitLfOXPviADw5I2Mll8kodViE2Bc1EWNVSfLWk76f1zjNOWSav1BA==","signature_status":"signed_v1","signed_at":"2026-05-18T02:53:29.785347Z","signed_message":"canonical_sha256_bytes"},"source_id":"1312.7765","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:e0cb67336b9da82041da7860311df50d5cebc68048022646cb37edc72d5d3bee","sha256:690a8ea38d0857a0fb264b75cf96ad58c023ce3f0cb5fab0df1dcdf31ea03804"],"state_sha256":"4a46433cae9d85f209182ca2c096a863f68f4b64999bd247cd7ec7221f0c4fc9"}