{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:VKW6TL3LZRJ76AAQJ5ELAYB7KP","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":"281ffd9d51725e7a3f3f91c599176d689009b1b6586f0d47e18437673c9bfb17","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.LO","submitted_at":"2018-03-08T08:48:08Z","title_canon_sha256":"c34405b81aa61e01981e71443db26cfbba27d76f8e8d6fe2ca78a9bffd53b6fd"},"schema_version":"1.0","source":{"id":"1803.03003","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1803.03003","created_at":"2026-05-17T23:54:16Z"},{"alias_kind":"arxiv_version","alias_value":"1803.03003v2","created_at":"2026-05-17T23:54:16Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1803.03003","created_at":"2026-05-17T23:54:16Z"},{"alias_kind":"pith_short_12","alias_value":"VKW6TL3LZRJ7","created_at":"2026-05-18T12:32:59Z"},{"alias_kind":"pith_short_16","alias_value":"VKW6TL3LZRJ76AAQ","created_at":"2026-05-18T12:32:59Z"},{"alias_kind":"pith_short_8","alias_value":"VKW6TL3L","created_at":"2026-05-18T12:32:59Z"}],"graph_snapshots":[{"event_id":"sha256:3d60cd0d2ca8c41efa29a344c48edb18f8a67467f7ce76098310d760ac25ee55","target":"graph","created_at":"2026-05-17T23:54:16Z","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":"A logic satisfies the interpolation property provided that whenever a formula {\\Delta} is a consequence of another formula {\\Gamma}, then this is witnessed by a formula {\\Theta} which only refers to the language common to {\\Gamma} and {\\Delta}. That is, the relational (and functional) symbols occurring in {\\Theta} occur in both {\\Gamma} and {\\Delta}, {\\Gamma} has {\\Theta} as a consequence, and {\\Theta} has {\\Delta} as a consequence. Both classical and intuitionistic predicate logic have the interpolation property, but it is a long open problem which intermediate predicate logics enjoy it. In 2","authors_text":"Mai Gehrke, Matthias Baaz, Sam van Gool","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.LO","submitted_at":"2018-03-08T08:48:08Z","title":"An interpolant in predicate G\\\"odel logic"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1803.03003","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":"sha256:02385a2cca831834ff3750778ef7b957b225b06a6c59779674c8bb017ce6507e","target":"record","created_at":"2026-05-17T23:54:16Z","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":"281ffd9d51725e7a3f3f91c599176d689009b1b6586f0d47e18437673c9bfb17","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.LO","submitted_at":"2018-03-08T08:48:08Z","title_canon_sha256":"c34405b81aa61e01981e71443db26cfbba27d76f8e8d6fe2ca78a9bffd53b6fd"},"schema_version":"1.0","source":{"id":"1803.03003","kind":"arxiv","version":2}},"canonical_sha256":"aaade9af6bcc53ff00104f48b0603f53e49b4eb95f473e3a7fcaaf38d1cc92f5","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"aaade9af6bcc53ff00104f48b0603f53e49b4eb95f473e3a7fcaaf38d1cc92f5","first_computed_at":"2026-05-17T23:54:16.668614Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:54:16.668614Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"nEbRHYd45MTIalLH9T+IBbzj/dNtdZRYyOUrh6HnK34yJny8vrLP1pmgatd/e+iu7MDwpHw7O3y0FyEBZYirAw==","signature_status":"signed_v1","signed_at":"2026-05-17T23:54:16.669121Z","signed_message":"canonical_sha256_bytes"},"source_id":"1803.03003","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:02385a2cca831834ff3750778ef7b957b225b06a6c59779674c8bb017ce6507e","sha256:3d60cd0d2ca8c41efa29a344c48edb18f8a67467f7ce76098310d760ac25ee55"],"state_sha256":"906a5134d5f63ee45285e0faefcf633b96181b5bf60fa591940229491790764e"}