{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2017:ZG3YFTOTPCQXQCIVVN4MTKIAUM","short_pith_number":"pith:ZG3YFTOT","schema_version":"1.0","canonical_sha256":"c9b782cdd378a1780915ab78c9a900a33ee5ca39c292b0ae81dc2feb437ba5b7","source":{"kind":"arxiv","id":"1707.03267","version":1},"attestation_state":"computed","paper":{"title":"Fractional order Orlicz-Sobolev spaces","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.FA"],"primary_cat":"math.AP","authors_text":"Ariel M. Salort, Juli\\'an Fern\\'andez Bonder","submitted_at":"2017-07-11T13:46:59Z","abstract_excerpt":"In this paper we define the fractional order Orlicz-Sobolev spaces, and prove its convergence to the classical Orlicz-Sobolev spaces when the fractional parameter $s\\uparrow 1$ in the spirit of the celebrated result of Bourgain-Brezis-Mironescu. We then deduce some consequences such as $\\Gamma-$convergence of the modulars and convergence of solutions for some fractional versions of the $\\Delta_g$ operator as the fractional parameter $s\\uparrow 1$."},"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":"1707.03267","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2017-07-11T13:46:59Z","cross_cats_sorted":["math.FA"],"title_canon_sha256":"4e6c046cc9f04841a4dff399caa5c29a5ca74685733a328d668d6a8ed6c459f6","abstract_canon_sha256":"442f75d313a43afaf5a2a16630b059746e15b0995ca4bb2adec37e80a7f0f8a2"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:40:29.461984Z","signature_b64":"+slY4vDwxE9CSMH9zflz2ghBtkjAh4r3gblxDViCBhBW+ZA55Lvewws492i7SWTtBgcWy4Kn8+QXfIKqNom2AA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"c9b782cdd378a1780915ab78c9a900a33ee5ca39c292b0ae81dc2feb437ba5b7","last_reissued_at":"2026-05-18T00:40:29.461533Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:40:29.461533Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Fractional order Orlicz-Sobolev spaces","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.FA"],"primary_cat":"math.AP","authors_text":"Ariel M. Salort, Juli\\'an Fern\\'andez Bonder","submitted_at":"2017-07-11T13:46:59Z","abstract_excerpt":"In this paper we define the fractional order Orlicz-Sobolev spaces, and prove its convergence to the classical Orlicz-Sobolev spaces when the fractional parameter $s\\uparrow 1$ in the spirit of the celebrated result of Bourgain-Brezis-Mironescu. We then deduce some consequences such as $\\Gamma-$convergence of the modulars and convergence of solutions for some fractional versions of the $\\Delta_g$ operator as the fractional parameter $s\\uparrow 1$."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1707.03267","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":"1707.03267","created_at":"2026-05-18T00:40:29.461601+00:00"},{"alias_kind":"arxiv_version","alias_value":"1707.03267v1","created_at":"2026-05-18T00:40:29.461601+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1707.03267","created_at":"2026-05-18T00:40:29.461601+00:00"},{"alias_kind":"pith_short_12","alias_value":"ZG3YFTOTPCQX","created_at":"2026-05-18T12:31:59.375834+00:00"},{"alias_kind":"pith_short_16","alias_value":"ZG3YFTOTPCQXQCIV","created_at":"2026-05-18T12:31:59.375834+00:00"},{"alias_kind":"pith_short_8","alias_value":"ZG3YFTOT","created_at":"2026-05-18T12:31:59.375834+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/ZG3YFTOTPCQXQCIVVN4MTKIAUM","json":"https://pith.science/pith/ZG3YFTOTPCQXQCIVVN4MTKIAUM.json","graph_json":"https://pith.science/api/pith-number/ZG3YFTOTPCQXQCIVVN4MTKIAUM/graph.json","events_json":"https://pith.science/api/pith-number/ZG3YFTOTPCQXQCIVVN4MTKIAUM/events.json","paper":"https://pith.science/paper/ZG3YFTOT"},"agent_actions":{"view_html":"https://pith.science/pith/ZG3YFTOTPCQXQCIVVN4MTKIAUM","download_json":"https://pith.science/pith/ZG3YFTOTPCQXQCIVVN4MTKIAUM.json","view_paper":"https://pith.science/paper/ZG3YFTOT","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1707.03267&json=true","fetch_graph":"https://pith.science/api/pith-number/ZG3YFTOTPCQXQCIVVN4MTKIAUM/graph.json","fetch_events":"https://pith.science/api/pith-number/ZG3YFTOTPCQXQCIVVN4MTKIAUM/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/ZG3YFTOTPCQXQCIVVN4MTKIAUM/action/timestamp_anchor","attest_storage":"https://pith.science/pith/ZG3YFTOTPCQXQCIVVN4MTKIAUM/action/storage_attestation","attest_author":"https://pith.science/pith/ZG3YFTOTPCQXQCIVVN4MTKIAUM/action/author_attestation","sign_citation":"https://pith.science/pith/ZG3YFTOTPCQXQCIVVN4MTKIAUM/action/citation_signature","submit_replication":"https://pith.science/pith/ZG3YFTOTPCQXQCIVVN4MTKIAUM/action/replication_record"}},"created_at":"2026-05-18T00:40:29.461601+00:00","updated_at":"2026-05-18T00:40:29.461601+00:00"}