{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2025:OVU3R6GE2ACWX56AHUV2LJEH5K","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":"b9dfcffa3fb17bc3aa98d91abf4bac6418f358bba8747479ae851735ece48be9","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.CT","submitted_at":"2025-12-05T11:21:43Z","title_canon_sha256":"13af958c217fe6801bc7fa22ea13b59aed1f47a359cf5c4f493d611955d11585"},"schema_version":"1.0","source":{"id":"2512.05631","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2512.05631","created_at":"2026-06-09T01:05:11Z"},{"alias_kind":"arxiv_version","alias_value":"2512.05631v3","created_at":"2026-06-09T01:05:11Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2512.05631","created_at":"2026-06-09T01:05:11Z"},{"alias_kind":"pith_short_12","alias_value":"OVU3R6GE2ACW","created_at":"2026-06-09T01:05:11Z"},{"alias_kind":"pith_short_16","alias_value":"OVU3R6GE2ACWX56A","created_at":"2026-06-09T01:05:11Z"},{"alias_kind":"pith_short_8","alias_value":"OVU3R6GE","created_at":"2026-06-09T01:05:11Z"}],"graph_snapshots":[{"event_id":"sha256:ebef17de22b2db9316f36961144ae7ac3659c2deb58e51a96b38805b1a4f9f9d","target":"graph","created_at":"2026-06-09T01:05:11Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2512.05631/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We describe a simple criterion which makes it easy to recognise when a pseudomonad is lax-idempotent. The criterion concerns the behaviour of colax bilimits of arrows - certain comma objects - and is easy to verify in examples. Building on this, we obtain a new characterisation of lax-idempotent pseudomonads on 2-categories with colax bilimits of arrows.","authors_text":"John Bourke","cross_cats":[],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.CT","submitted_at":"2025-12-05T11:21:43Z","title":"A recognition criterion for lax-idempotent pseudomonads"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2512.05631","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":"sha256:0235ff0f00945e156840b2b2a1975afcc523a227c8873766b0d6ad6630c3b722","target":"record","created_at":"2026-06-09T01:05:11Z","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":"b9dfcffa3fb17bc3aa98d91abf4bac6418f358bba8747479ae851735ece48be9","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.CT","submitted_at":"2025-12-05T11:21:43Z","title_canon_sha256":"13af958c217fe6801bc7fa22ea13b59aed1f47a359cf5c4f493d611955d11585"},"schema_version":"1.0","source":{"id":"2512.05631","kind":"arxiv","version":3}},"canonical_sha256":"7569b8f8c4d0056bf7c03d2ba5a487ea8dbd0182ca903438546eec9f83fd81cf","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"7569b8f8c4d0056bf7c03d2ba5a487ea8dbd0182ca903438546eec9f83fd81cf","first_computed_at":"2026-06-09T01:05:11.478472Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-06-09T01:05:11.478472Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"q/S/VdNCBwYP2z8rJ78r2N3w1RykOqitY5xsJo+FKiPBrUX+gTARMRapVq+F2C1eK4AO6CIANjGngB4MbH/9CA==","signature_status":"signed_v1","signed_at":"2026-06-09T01:05:11.478922Z","signed_message":"canonical_sha256_bytes"},"source_id":"2512.05631","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:0235ff0f00945e156840b2b2a1975afcc523a227c8873766b0d6ad6630c3b722","sha256:ebef17de22b2db9316f36961144ae7ac3659c2deb58e51a96b38805b1a4f9f9d"],"state_sha256":"26ff9e2f789911058a47d603367a565dd496956f1f05c42446cd7b416883293e"}