{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2023:RD6SLZWKCDCB5CAQ6OX3MID7RV","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":"cefc133df701611df48e05c890b24766fb86b8c6a0c84270faae530e0aec36aa","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.LO","submitted_at":"2023-08-08T18:36:03Z","title_canon_sha256":"c475ca17c5d54fdde1a180ce5c182511e266fbc3424c4109893536e36122e68b"},"schema_version":"1.0","source":{"id":"2308.04521","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2308.04521","created_at":"2026-07-05T06:39:39Z"},{"alias_kind":"arxiv_version","alias_value":"2308.04521v1","created_at":"2026-07-05T06:39:39Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2308.04521","created_at":"2026-07-05T06:39:39Z"},{"alias_kind":"pith_short_12","alias_value":"RD6SLZWKCDCB","created_at":"2026-07-05T06:39:39Z"},{"alias_kind":"pith_short_16","alias_value":"RD6SLZWKCDCB5CAQ","created_at":"2026-07-05T06:39:39Z"},{"alias_kind":"pith_short_8","alias_value":"RD6SLZWK","created_at":"2026-07-05T06:39:39Z"}],"graph_snapshots":[{"event_id":"sha256:833fba5a0dc907767840160ba42af354d14601b2aae6a3ff66c420cc0c4e10e2","target":"graph","created_at":"2026-07-05T06:39:39Z","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/2308.04521/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"In this paper, we consider the full Lambek calculus enriched with subexponential modalities in a distributive setting. We show that the distributive Lambek calculus with subexponentials is complete with respect to its Kripke frames via canonical extensions.  In this approach, we consider subexponentials as S4-like modalities and each modality is interpreted with a reflexive and transitive relation similarly to usual Kripke semantics.","authors_text":"Daniel Rogozin (University College London)","cross_cats":[],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.LO","submitted_at":"2023-08-08T18:36:03Z","title":"Semantic Analysis of Subexponential Modalities in Distributive Non-commutative Linear Logic"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2308.04521","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":"sha256:4e5f5e3dd282e24ae3ef059ff9d77616c438f34393e187a1c349eb211e16ca6d","target":"record","created_at":"2026-07-05T06:39:39Z","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":"cefc133df701611df48e05c890b24766fb86b8c6a0c84270faae530e0aec36aa","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.LO","submitted_at":"2023-08-08T18:36:03Z","title_canon_sha256":"c475ca17c5d54fdde1a180ce5c182511e266fbc3424c4109893536e36122e68b"},"schema_version":"1.0","source":{"id":"2308.04521","kind":"arxiv","version":1}},"canonical_sha256":"88fd25e6ca10c41e8810f3afb6207f8d729a1713cb733efa867d4e421f0c6532","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"88fd25e6ca10c41e8810f3afb6207f8d729a1713cb733efa867d4e421f0c6532","first_computed_at":"2026-07-05T06:39:39.087647Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T06:39:39.087647Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"q2yRN0yROZwfdR2wpYU+mYPlFiN6q87Wvc+QYOpeF8G1nYSyJRfsznKwAPMNhlLP7u5TrKXEXCsdAMKk6l+rDA==","signature_status":"signed_v1","signed_at":"2026-07-05T06:39:39.088107Z","signed_message":"canonical_sha256_bytes"},"source_id":"2308.04521","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:4e5f5e3dd282e24ae3ef059ff9d77616c438f34393e187a1c349eb211e16ca6d","sha256:833fba5a0dc907767840160ba42af354d14601b2aae6a3ff66c420cc0c4e10e2"],"state_sha256":"894095abe08159e082880a8df1984c1b022895b902a2dedae8b4e79f51e2af1e"}