{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2017:CKMKDN5ZQZZRS5CPMVWHHWEWN5","short_pith_number":"pith:CKMKDN5Z","schema_version":"1.0","canonical_sha256":"1298a1b7b9867319744f656c73d8966f736235c8a47588dbe6506f8e832860fa","source":{"kind":"arxiv","id":"1711.06757","version":1},"attestation_state":"computed","paper":{"title":"Weak amenability of weighted Orlicz algebras","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.FA","authors_text":"Ebrahim Samei, Serap \\\"Oztop, Varvara Shepelska","submitted_at":"2017-11-17T22:48:29Z","abstract_excerpt":"Let G be a locally compact abelian group, $\\omega:G\\to (0,\\infty)$ be a weight, and ($\\Phi$,$\\Psi$) be a complementary pair of strictly increasing continuous Young functions. We show that for the weighted Orlicz algebra $L^\\Phi_\\omega(G)$, the weak amenability is obtained under conditions similar to the one considered by Y. Zhang for weighted group algebras. Our methods can be applied to various families of weighted Orlicz algebras, including weighted $L^p$-spaces."},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"1711.06757","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.FA","submitted_at":"2017-11-17T22:48:29Z","cross_cats_sorted":[],"title_canon_sha256":"b2a93ae9b9a7af8baef2a1d62b1e32038d6fc11d8883888e54709a4ee8182d03","abstract_canon_sha256":"fccf6059a3c50fe37285d21811108c13c8715ef0f590c6f38efe39abd5cb816e"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:30:15.706971Z","signature_b64":"/AcOyWitflbF4Rnjalufh6y5+7aVtfnzhayvDwIHF5KwLTarP63hZ1tbjtH+N1X63FCMD1we0Od2oFzzDsu7Dg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"1298a1b7b9867319744f656c73d8966f736235c8a47588dbe6506f8e832860fa","last_reissued_at":"2026-05-18T00:30:15.706259Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:30:15.706259Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Weak amenability of weighted Orlicz algebras","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.FA","authors_text":"Ebrahim Samei, Serap \\\"Oztop, Varvara Shepelska","submitted_at":"2017-11-17T22:48:29Z","abstract_excerpt":"Let G be a locally compact abelian group, $\\omega:G\\to (0,\\infty)$ be a weight, and ($\\Phi$,$\\Psi$) be a complementary pair of strictly increasing continuous Young functions. We show that for the weighted Orlicz algebra $L^\\Phi_\\omega(G)$, the weak amenability is obtained under conditions similar to the one considered by Y. Zhang for weighted group algebras. Our methods can be applied to various families of weighted Orlicz algebras, including weighted $L^p$-spaces."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1711.06757","kind":"arxiv","version":1},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"},"aliases":[{"alias_kind":"arxiv","alias_value":"1711.06757","created_at":"2026-05-18T00:30:15.706382+00:00"},{"alias_kind":"arxiv_version","alias_value":"1711.06757v1","created_at":"2026-05-18T00:30:15.706382+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1711.06757","created_at":"2026-05-18T00:30:15.706382+00:00"},{"alias_kind":"pith_short_12","alias_value":"CKMKDN5ZQZZR","created_at":"2026-05-18T12:31:10.602751+00:00"},{"alias_kind":"pith_short_16","alias_value":"CKMKDN5ZQZZRS5CP","created_at":"2026-05-18T12:31:10.602751+00:00"},{"alias_kind":"pith_short_8","alias_value":"CKMKDN5Z","created_at":"2026-05-18T12:31:10.602751+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/CKMKDN5ZQZZRS5CPMVWHHWEWN5","json":"https://pith.science/pith/CKMKDN5ZQZZRS5CPMVWHHWEWN5.json","graph_json":"https://pith.science/api/pith-number/CKMKDN5ZQZZRS5CPMVWHHWEWN5/graph.json","events_json":"https://pith.science/api/pith-number/CKMKDN5ZQZZRS5CPMVWHHWEWN5/events.json","paper":"https://pith.science/paper/CKMKDN5Z"},"agent_actions":{"view_html":"https://pith.science/pith/CKMKDN5ZQZZRS5CPMVWHHWEWN5","download_json":"https://pith.science/pith/CKMKDN5ZQZZRS5CPMVWHHWEWN5.json","view_paper":"https://pith.science/paper/CKMKDN5Z","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1711.06757&json=true","fetch_graph":"https://pith.science/api/pith-number/CKMKDN5ZQZZRS5CPMVWHHWEWN5/graph.json","fetch_events":"https://pith.science/api/pith-number/CKMKDN5ZQZZRS5CPMVWHHWEWN5/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/CKMKDN5ZQZZRS5CPMVWHHWEWN5/action/timestamp_anchor","attest_storage":"https://pith.science/pith/CKMKDN5ZQZZRS5CPMVWHHWEWN5/action/storage_attestation","attest_author":"https://pith.science/pith/CKMKDN5ZQZZRS5CPMVWHHWEWN5/action/author_attestation","sign_citation":"https://pith.science/pith/CKMKDN5ZQZZRS5CPMVWHHWEWN5/action/citation_signature","submit_replication":"https://pith.science/pith/CKMKDN5ZQZZRS5CPMVWHHWEWN5/action/replication_record"}},"created_at":"2026-05-18T00:30:15.706382+00:00","updated_at":"2026-05-18T00:30:15.706382+00:00"}