{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:STREK2B3OTOZ4X5XHPO6UZWH4E","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":"a7749cc7263a64092addb36c5cb9e6a30d2483a1b521df3a8140f26cee94b1df","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2017-07-27T08:29:07Z","title_canon_sha256":"b6f4588ecf867e638b677cdc158d82ef267b5d19bc0c2a3354fbde4fefd3f4cd"},"schema_version":"1.0","source":{"id":"1707.08775","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1707.08775","created_at":"2026-05-17T23:55:34Z"},{"alias_kind":"arxiv_version","alias_value":"1707.08775v1","created_at":"2026-05-17T23:55:34Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1707.08775","created_at":"2026-05-17T23:55:34Z"},{"alias_kind":"pith_short_12","alias_value":"STREK2B3OTOZ","created_at":"2026-05-18T12:31:43Z"},{"alias_kind":"pith_short_16","alias_value":"STREK2B3OTOZ4X5X","created_at":"2026-05-18T12:31:43Z"},{"alias_kind":"pith_short_8","alias_value":"STREK2B3","created_at":"2026-05-18T12:31:43Z"}],"graph_snapshots":[{"event_id":"sha256:b15fcdeef6321addd8ed1825e1c47fbec0314dd4030923dfaa58ee31b8a73a71","target":"graph","created_at":"2026-05-17T23:55:34Z","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":"If $\\mu $ is a positive Borel measure on the interval $[0, 1)$ we let $\\mathcal H_\\mu $ be the Hankel matrix $\\mathcal H_\\mu =(\\mu _{n, k})_{n,k\\ge 0}$ with entries $\\mu _{n, k}=\\mu _{n+k}$, where, for $n\\,=\\,0, 1, 2, \\dots $, $\\mu_n$ denotes the moment of order $n$ of $\\mu $. This matrix induces formally the operator $$\\mathcal{H}_\\mu (f)(z)= \\sum_{n=0}^{\\infty}\\left(\\sum_{k=0}^{\\infty} \\mu_{n,k}{a_k}\\right)z^n$$ on the space of all analytic functions $f(z)=\\sum_{k=0}^\\infty a_kz^k$, in the unit disc $\\mathbb{D} $. This is a natural generalization of the classical Hilbert operator. In this pa","authors_text":"Noel Merch\\'an","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2017-07-27T08:29:07Z","title":"Mean Lipschitz spaces and a generalized Hilbert operator"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1707.08775","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":"sha256:960671317adde2244a0e58f0ecce5522bf7bfbdc5efae458da6eb995b282a7ce","target":"record","created_at":"2026-05-17T23:55:34Z","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":"a7749cc7263a64092addb36c5cb9e6a30d2483a1b521df3a8140f26cee94b1df","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2017-07-27T08:29:07Z","title_canon_sha256":"b6f4588ecf867e638b677cdc158d82ef267b5d19bc0c2a3354fbde4fefd3f4cd"},"schema_version":"1.0","source":{"id":"1707.08775","kind":"arxiv","version":1}},"canonical_sha256":"94e245683b74dd9e5fb73bddea66c7e132f485eac2581024ee7fd35b42e323fe","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"94e245683b74dd9e5fb73bddea66c7e132f485eac2581024ee7fd35b42e323fe","first_computed_at":"2026-05-17T23:55:34.697755Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:55:34.697755Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"u7NKuStV0AKhj7MVCYfqcs8TNBZAop6FHG1+p9ADVhWxu8umbJUH/9dTndlud9achI0EYQSBBh0T10EQfBZnDA==","signature_status":"signed_v1","signed_at":"2026-05-17T23:55:34.698229Z","signed_message":"canonical_sha256_bytes"},"source_id":"1707.08775","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:960671317adde2244a0e58f0ecce5522bf7bfbdc5efae458da6eb995b282a7ce","sha256:b15fcdeef6321addd8ed1825e1c47fbec0314dd4030923dfaa58ee31b8a73a71"],"state_sha256":"a5d6bb28bcd3a3d6cb68319dad0d9ae34430f1db5126276c07d12cc418653d15"}