{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2019:VCS22QXYA7GQZBF7V2OQBQZYPS","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":"ee06ccd5676a815ed30696a39b64e0a02b2b98803568618654ffeda1febccc4a","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.LO","submitted_at":"2019-03-20T17:19:14Z","title_canon_sha256":"4e77a48e090df2cceafc87a0580466fd83c3048581ee472f74db518d52a64422"},"schema_version":"1.0","source":{"id":"1903.08625","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1903.08625","created_at":"2026-05-17T23:50:47Z"},{"alias_kind":"arxiv_version","alias_value":"1903.08625v1","created_at":"2026-05-17T23:50:47Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1903.08625","created_at":"2026-05-17T23:50:47Z"},{"alias_kind":"pith_short_12","alias_value":"VCS22QXYA7GQ","created_at":"2026-05-18T12:33:30Z"},{"alias_kind":"pith_short_16","alias_value":"VCS22QXYA7GQZBF7","created_at":"2026-05-18T12:33:30Z"},{"alias_kind":"pith_short_8","alias_value":"VCS22QXY","created_at":"2026-05-18T12:33:30Z"}],"graph_snapshots":[{"event_id":"sha256:13eb6a0e2d1f9ada276a7e46250f79b24277c32239fda437ef91d37edd1a47b2","target":"graph","created_at":"2026-05-17T23:50:47Z","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":"The objective of this study is a better understanding of the relationships between reduction and continuity. Solovay reduction is a variation of Turing reduction based on the distance of two real numbers. We characterize Solovay reduction by the existence of a certain real function that is computable (in the sense of computable analysis) and Lipschitz continuous. We ask whether there exists a reducibility concept that corresponds to H\\\"older continuity. The answer is affirmative. We introduce quasi Solovay reduction and characterize this new reduction via H\\\"older continuity. In addition, we s","authors_text":"Kenshi Miyabe, Masahiro Kumabe, Toshio Suzuki, Yuki Mizusawa","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.LO","submitted_at":"2019-03-20T17:19:14Z","title":"Solovay reduction and continuity"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1903.08625","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":"sha256:30d77ea66611b924bf5fa6426591db8acf011cd05e782e1440c8e9a0e4c816dd","target":"record","created_at":"2026-05-17T23:50:47Z","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":"ee06ccd5676a815ed30696a39b64e0a02b2b98803568618654ffeda1febccc4a","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.LO","submitted_at":"2019-03-20T17:19:14Z","title_canon_sha256":"4e77a48e090df2cceafc87a0580466fd83c3048581ee472f74db518d52a64422"},"schema_version":"1.0","source":{"id":"1903.08625","kind":"arxiv","version":1}},"canonical_sha256":"a8a5ad42f807cd0c84bfae9d00c3387c85d8db58b1d317eecf9cfcd8d4a73fc1","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"a8a5ad42f807cd0c84bfae9d00c3387c85d8db58b1d317eecf9cfcd8d4a73fc1","first_computed_at":"2026-05-17T23:50:47.584073Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:50:47.584073Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"vJLX8npVaepvKlpQMrNctWt+0MJD+xLPRRZ1Wr06HVGCGNBJHX26uQLgLHt7z9XN7e5KmsqrRYDLgbN+Gfz1DQ==","signature_status":"signed_v1","signed_at":"2026-05-17T23:50:47.584826Z","signed_message":"canonical_sha256_bytes"},"source_id":"1903.08625","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:30d77ea66611b924bf5fa6426591db8acf011cd05e782e1440c8e9a0e4c816dd","sha256:13eb6a0e2d1f9ada276a7e46250f79b24277c32239fda437ef91d37edd1a47b2"],"state_sha256":"e26199dfd394da727515fad7dcea975ec1fb2c67f98f9b397d652f96e8b714b0"}