{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:QVM5CI6GIJ4SDWYXHRZJSOAYU2","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":"0aa5556fcab5fcc5107ecea4fc52ab4d54cfb7d25e065d656c4387d47187b160","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.FA","submitted_at":"2017-02-28T11:13:18Z","title_canon_sha256":"6af94e7a15e49e116d2f18d4ad2220798a94fef2fd8254a0b45046a5bcca7370"},"schema_version":"1.0","source":{"id":"1702.08746","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1702.08746","created_at":"2026-05-18T00:49:47Z"},{"alias_kind":"arxiv_version","alias_value":"1702.08746v1","created_at":"2026-05-18T00:49:47Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1702.08746","created_at":"2026-05-18T00:49:47Z"},{"alias_kind":"pith_short_12","alias_value":"QVM5CI6GIJ4S","created_at":"2026-05-18T12:31:39Z"},{"alias_kind":"pith_short_16","alias_value":"QVM5CI6GIJ4SDWYX","created_at":"2026-05-18T12:31:39Z"},{"alias_kind":"pith_short_8","alias_value":"QVM5CI6G","created_at":"2026-05-18T12:31:39Z"}],"graph_snapshots":[{"event_id":"sha256:7bf2ccb4fc253b087369493836fe973a3cb32e43ad3b4ab44b4e96908d0f1902","target":"graph","created_at":"2026-05-18T00:49:47Z","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":"In this paper we obtain some noncommutative multiplier theorems and maximal inequalities on semigroups. As applications, we obtain the corresponding individual ergodic theorems. Our main results extend some classical results of Stein and Cowling on one hand, and simplify the main arguments of Junge-Le Merdy-Xu's related work [15].","authors_text":"Maofa Wang, Yong Jiao","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.FA","submitted_at":"2017-02-28T11:13:18Z","title":"Noncommutative harmonic analysis on semigroups"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1702.08746","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":"sha256:478b875b7b0949418d6a99e7b14bcf9a2428d5d06c9eaaefa8d1de6617c5ad53","target":"record","created_at":"2026-05-18T00:49:47Z","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":"0aa5556fcab5fcc5107ecea4fc52ab4d54cfb7d25e065d656c4387d47187b160","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.FA","submitted_at":"2017-02-28T11:13:18Z","title_canon_sha256":"6af94e7a15e49e116d2f18d4ad2220798a94fef2fd8254a0b45046a5bcca7370"},"schema_version":"1.0","source":{"id":"1702.08746","kind":"arxiv","version":1}},"canonical_sha256":"8559d123c6427921db173c72993818a695f03d97a3926f82cce0af7d466cc0c9","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"8559d123c6427921db173c72993818a695f03d97a3926f82cce0af7d466cc0c9","first_computed_at":"2026-05-18T00:49:47.986614Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:49:47.986614Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"S6NfU2Js9ZsghU4hyjIU7w0pZF85Pu6btj+/9kMpB/XQEnF+zglPx7OfqMbzb8oysFiIjV5Tm4Bv01QMPdegBg==","signature_status":"signed_v1","signed_at":"2026-05-18T00:49:47.987051Z","signed_message":"canonical_sha256_bytes"},"source_id":"1702.08746","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:478b875b7b0949418d6a99e7b14bcf9a2428d5d06c9eaaefa8d1de6617c5ad53","sha256:7bf2ccb4fc253b087369493836fe973a3cb32e43ad3b4ab44b4e96908d0f1902"],"state_sha256":"fd42d3c934b13aa1bf8d6726c3515b8d3f31d353be9f040cffb2577f14477ac0"}