{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:6GTQZFIYDEHAHBUTBF4BYZ73NM","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":"cfef0baa65b3538e793cc91f01da0cb429153c63b88c274b9180b0c339a00435","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.FA","submitted_at":"2013-07-11T15:25:23Z","title_canon_sha256":"6c95e69ba52ace029521d3763a4d3f1257b67e13c1557d40ba48d8e5e03e0676"},"schema_version":"1.0","source":{"id":"1307.3140","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1307.3140","created_at":"2026-05-18T03:18:41Z"},{"alias_kind":"arxiv_version","alias_value":"1307.3140v1","created_at":"2026-05-18T03:18:41Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1307.3140","created_at":"2026-05-18T03:18:41Z"},{"alias_kind":"pith_short_12","alias_value":"6GTQZFIYDEHA","created_at":"2026-05-18T12:27:36Z"},{"alias_kind":"pith_short_16","alias_value":"6GTQZFIYDEHAHBUT","created_at":"2026-05-18T12:27:36Z"},{"alias_kind":"pith_short_8","alias_value":"6GTQZFIY","created_at":"2026-05-18T12:27:36Z"}],"graph_snapshots":[{"event_id":"sha256:d7ff0981058f33df9d30cd50fe33cfff2226f629296e90ddd8304aad61157831","target":"graph","created_at":"2026-05-18T03:18:41Z","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":"In this paper, we introduce a generalization of the pointwise H\\\"older spaces. We give alternative definitions of these spaces, look at their relationship with the wavelets and introduce a notion of generalized H\\\"older exponent.","authors_text":"Damien Kreit, Samuel Nicolay","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.FA","submitted_at":"2013-07-11T15:25:23Z","title":"Generalized pointwise H\\\"older spaces"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1307.3140","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":"sha256:51a4b10f6c83f1e5d8eee2013421db87f947e178fa4bde844669b5f09fc192e5","target":"record","created_at":"2026-05-18T03:18:41Z","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":"cfef0baa65b3538e793cc91f01da0cb429153c63b88c274b9180b0c339a00435","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.FA","submitted_at":"2013-07-11T15:25:23Z","title_canon_sha256":"6c95e69ba52ace029521d3763a4d3f1257b67e13c1557d40ba48d8e5e03e0676"},"schema_version":"1.0","source":{"id":"1307.3140","kind":"arxiv","version":1}},"canonical_sha256":"f1a70c9518190e03869309781c67fb6b105187db158cb719f50bbc450b425b8c","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"f1a70c9518190e03869309781c67fb6b105187db158cb719f50bbc450b425b8c","first_computed_at":"2026-05-18T03:18:41.054393Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:18:41.054393Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"uRNqZK0X+G+CRTouUT5vkRwCCTizB7BdLIb506y+erMwU5caEWkXpIHnahVpHDvyPd4VCSU/TcrD82c1PohWCw==","signature_status":"signed_v1","signed_at":"2026-05-18T03:18:41.055225Z","signed_message":"canonical_sha256_bytes"},"source_id":"1307.3140","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:51a4b10f6c83f1e5d8eee2013421db87f947e178fa4bde844669b5f09fc192e5","sha256:d7ff0981058f33df9d30cd50fe33cfff2226f629296e90ddd8304aad61157831"],"state_sha256":"093764cd89451b9e5bb5bf68ff1ddbd6d057a75f6e88e931da33220abdc568a7"}