{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:Q3EKVY4ZZOMLV4NVWJP2R7KE4Y","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":"474bc27b03af3517cb494feb5367ac6837ec1df3df97d9dfc0847ec4db8ee2d8","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CA","submitted_at":"2015-12-30T14:22:24Z","title_canon_sha256":"c469229a4d56a7ed1d120756c8b2e65fe36559de3b18b58f68fb2dd2f291b9af"},"schema_version":"1.0","source":{"id":"1512.08948","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1512.08948","created_at":"2026-05-18T01:23:34Z"},{"alias_kind":"arxiv_version","alias_value":"1512.08948v1","created_at":"2026-05-18T01:23:34Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1512.08948","created_at":"2026-05-18T01:23:34Z"},{"alias_kind":"pith_short_12","alias_value":"Q3EKVY4ZZOML","created_at":"2026-05-18T12:29:37Z"},{"alias_kind":"pith_short_16","alias_value":"Q3EKVY4ZZOMLV4NV","created_at":"2026-05-18T12:29:37Z"},{"alias_kind":"pith_short_8","alias_value":"Q3EKVY4Z","created_at":"2026-05-18T12:29:37Z"}],"graph_snapshots":[{"event_id":"sha256:ce03e50caa625c02b491986701d14ae2505bdf51f39cd8f947d6ce7f4e2a923b","target":"graph","created_at":"2026-05-18T01:23:34Z","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":"This is an ultimate completion of our earlier paper [Acta.\\ Math.\\ Hungar.\\ 140 (2013), 248--292] where mapping properties of several fundamental harmonic analysis operators in the setting of symmetrized Jacobi trigonometric expansions were investigated under certain restrictions on the underlying parameters of type. In the present article we take advantage of very recent results due to Nowak, Sj\\\"ogren and Szarek to fully release those restrictions, and also to provide shorter and more transparent proofs of the previous restricted results. Moreover, we also study mapping properties of analogo","authors_text":"Bartosz Langowski","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CA","submitted_at":"2015-12-30T14:22:24Z","title":"Harmonic analysis operators related to symmetrized Jacobi expansions for all admissible parameters"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1512.08948","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:c28f657b4a222ac67999552ce7bf5ea20818982013a6514e72bf4ef65bb36c4d","target":"record","created_at":"2026-05-18T01:23:34Z","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":"474bc27b03af3517cb494feb5367ac6837ec1df3df97d9dfc0847ec4db8ee2d8","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CA","submitted_at":"2015-12-30T14:22:24Z","title_canon_sha256":"c469229a4d56a7ed1d120756c8b2e65fe36559de3b18b58f68fb2dd2f291b9af"},"schema_version":"1.0","source":{"id":"1512.08948","kind":"arxiv","version":1}},"canonical_sha256":"86c8aae399cb98baf1b5b25fa8fd44e607fa557511ce1582adf424b2d95396dc","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"86c8aae399cb98baf1b5b25fa8fd44e607fa557511ce1582adf424b2d95396dc","first_computed_at":"2026-05-18T01:23:34.402762Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:23:34.402762Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"LL7vZoRkGo/EZ/8THTNTcmk/KgMzKJvZfWo8E/ZJWZt13ADD6eLmVrYQqnAnsWXKjjRhzla2pdQQJ9BNMdnLBg==","signature_status":"signed_v1","signed_at":"2026-05-18T01:23:34.403335Z","signed_message":"canonical_sha256_bytes"},"source_id":"1512.08948","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:c28f657b4a222ac67999552ce7bf5ea20818982013a6514e72bf4ef65bb36c4d","sha256:ce03e50caa625c02b491986701d14ae2505bdf51f39cd8f947d6ce7f4e2a923b"],"state_sha256":"e669e0ba3a976f5d2ef4ed100af7d655d57267307b737c749d97ddfa0e14dd75"}