{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2008:IFUX34YFKGABIG75DJZEYWH57L","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":"3a1731d06724fc710a1bda419b2f8b36975a953e087313f7007aecba8bb18798","cross_cats_sorted":["cs.LO"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.PL","submitted_at":"2008-04-05T22:27:29Z","title_canon_sha256":"b81bda636673c4fe09b229369b1d7d2eb77cb5f06d72882ab685205225b148c8"},"schema_version":"1.0","source":{"id":"0804.0876","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0804.0876","created_at":"2026-05-18T01:37:42Z"},{"alias_kind":"arxiv_version","alias_value":"0804.0876v2","created_at":"2026-05-18T01:37:42Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0804.0876","created_at":"2026-05-18T01:37:42Z"},{"alias_kind":"pith_short_12","alias_value":"IFUX34YFKGAB","created_at":"2026-05-18T12:25:57Z"},{"alias_kind":"pith_short_16","alias_value":"IFUX34YFKGABIG75","created_at":"2026-05-18T12:25:57Z"},{"alias_kind":"pith_short_8","alias_value":"IFUX34YF","created_at":"2026-05-18T12:25:57Z"}],"graph_snapshots":[{"event_id":"sha256:51f616d43d8dc2dc56e9907cd4cfd58667c2550bbde3bb78aa62312e91387919","target":"graph","created_at":"2026-05-18T01:37:42Z","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":"Some type-based approaches to termination use sized types: an ordinal bound for the size of a data structure is stored in its type. A recursive function over a sized type is accepted if it is visible in the type system that recursive calls occur just at a smaller size. This approach is only sound if the type of the recursive function is admissible, i.e., depends on the size index in a certain way. To explore the space of admissible functions in the presence of higher-kinded data types and impredicative polymorphism, a semantics is developed where sized types are interpreted as functions from o","authors_text":"Andreas Abel","cross_cats":["cs.LO"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.PL","submitted_at":"2008-04-05T22:27:29Z","title":"Semi-continuous Sized Types and Termination"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0804.0876","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":"sha256:93ba1db4ca379aa8ca3a0d934c27f6fff64d7d4d792429cc1fa51254d377401e","target":"record","created_at":"2026-05-18T01:37:42Z","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":"3a1731d06724fc710a1bda419b2f8b36975a953e087313f7007aecba8bb18798","cross_cats_sorted":["cs.LO"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.PL","submitted_at":"2008-04-05T22:27:29Z","title_canon_sha256":"b81bda636673c4fe09b229369b1d7d2eb77cb5f06d72882ab685205225b148c8"},"schema_version":"1.0","source":{"id":"0804.0876","kind":"arxiv","version":2}},"canonical_sha256":"41697df3055180141bfd1a724c58fdfacefdaa55a4d15db841bb07f1c6032292","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"41697df3055180141bfd1a724c58fdfacefdaa55a4d15db841bb07f1c6032292","first_computed_at":"2026-05-18T01:37:42.499691Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:37:42.499691Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"CHQslOCIlAOM44EwhnaZmgOzAvg36R3pYdL8PkU2sUmgrjawM6unqu38/FeaMeM35Mnvx4JHYl4JGX6fcbGRAg==","signature_status":"signed_v1","signed_at":"2026-05-18T01:37:42.500343Z","signed_message":"canonical_sha256_bytes"},"source_id":"0804.0876","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:93ba1db4ca379aa8ca3a0d934c27f6fff64d7d4d792429cc1fa51254d377401e","sha256:51f616d43d8dc2dc56e9907cd4cfd58667c2550bbde3bb78aa62312e91387919"],"state_sha256":"f5e8ce40b20b83da1b0b9b5e74244c0687746d2d049150dc0757976282123219"}