{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:2ZZHBX2SKG6UDNGRGSWGSDEVX2","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":"c071513bb977ef3dd94cbd31f58fd60c1a6a2e1f8adc000eea17e7d9db80052c","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.LO","submitted_at":"2017-06-19T13:44:05Z","title_canon_sha256":"7457265f3204d3527860f723ab0babe6c1f8e4c6a0b2df5ac0ea2da12530d54c"},"schema_version":"1.0","source":{"id":"1706.05939","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1706.05939","created_at":"2026-05-18T00:38:17Z"},{"alias_kind":"arxiv_version","alias_value":"1706.05939v2","created_at":"2026-05-18T00:38:17Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1706.05939","created_at":"2026-05-18T00:38:17Z"},{"alias_kind":"pith_short_12","alias_value":"2ZZHBX2SKG6U","created_at":"2026-05-18T12:30:55Z"},{"alias_kind":"pith_short_16","alias_value":"2ZZHBX2SKG6UDNGR","created_at":"2026-05-18T12:30:55Z"},{"alias_kind":"pith_short_8","alias_value":"2ZZHBX2S","created_at":"2026-05-18T12:30:55Z"}],"graph_snapshots":[{"event_id":"sha256:8cbfdb201db14f7b63e48d81d06793fc3c04c0cd060d1150a38bb6f2695a5485","target":"graph","created_at":"2026-05-18T00:38:17Z","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":"We study a new notion of reduction between structures called enumerable functors related to the recently investigated notion of computable functors. Our main result shows that enumerable functors and effective interpretability with the equivalence relation computable are equivalent. We also obtain results on the relation between enumerable and computable functors.","authors_text":"Dino Rossegger","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.LO","submitted_at":"2017-06-19T13:44:05Z","title":"On functors enumerating structures"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1706.05939","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":"sha256:90b37721a530af65af2cf2a0d9f328db03891a9e53ed4f5b36bdb191e7de56c1","target":"record","created_at":"2026-05-18T00:38:17Z","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":"c071513bb977ef3dd94cbd31f58fd60c1a6a2e1f8adc000eea17e7d9db80052c","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.LO","submitted_at":"2017-06-19T13:44:05Z","title_canon_sha256":"7457265f3204d3527860f723ab0babe6c1f8e4c6a0b2df5ac0ea2da12530d54c"},"schema_version":"1.0","source":{"id":"1706.05939","kind":"arxiv","version":2}},"canonical_sha256":"d67270df5251bd41b4d134ac690c95bebea650292fb5a78393f1afde555ef6e5","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"d67270df5251bd41b4d134ac690c95bebea650292fb5a78393f1afde555ef6e5","first_computed_at":"2026-05-18T00:38:17.855844Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:38:17.855844Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"PjqXMKiY5w7HhOzr/TFD8IwcJ9FBFC36T/jAmEuMaGJKqFp5I+7QE0u8uNhTn8MFG4sZ4UvDL7CWqkCLL2/3BQ==","signature_status":"signed_v1","signed_at":"2026-05-18T00:38:17.856581Z","signed_message":"canonical_sha256_bytes"},"source_id":"1706.05939","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:90b37721a530af65af2cf2a0d9f328db03891a9e53ed4f5b36bdb191e7de56c1","sha256:8cbfdb201db14f7b63e48d81d06793fc3c04c0cd060d1150a38bb6f2695a5485"],"state_sha256":"195040b71685c4c7549573dea3fc859cfd64e90ea3ddd29e8fdfd8a12db5a70e"}