{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2014:2AIEXI4S2Z55N54EIFHWCQDRZ7","short_pith_number":"pith:2AIEXI4S","schema_version":"1.0","canonical_sha256":"d0104ba392d67bd6f784414f614071cfd89812a52e06b8857f1ab95218c29d94","source":{"kind":"arxiv","id":"1411.7246","version":1},"attestation_state":"computed","paper":{"title":"Bernstein Numbers of Embeddings of Isotropic and Dominating Mixed Besov Spaces","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.FA","authors_text":"Van Kien Nguyen","submitted_at":"2014-11-26T14:39:45Z","abstract_excerpt":"The purpose of the present paper is to investigate the decay of Bernstein numbers of the embedding from $B^t_{p_1,q}((0,1)^d)$ into the space $L_{p_2}((0,1)^d) $. The asymptotic behaviour of Bernstein numbers of the identity $id: S_{p_1,p_1}^tB((0,1)^d)\\rightarrow L_{p_2}((0,1)^d)$ will be also considered."},"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":"1411.7246","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.FA","submitted_at":"2014-11-26T14:39:45Z","cross_cats_sorted":[],"title_canon_sha256":"553a8f7a73b08b1d47aa609b0e94ca7aaeb60381de1ef8036101a34c5480e299","abstract_canon_sha256":"8bf21f86cc939580eebcdbc3b48b9c857d43fc61931d9daebaa1e231b099de0c"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:32:44.893457Z","signature_b64":"I0kjDKp3KoKDIVWxB2pYObNeKgjf9A/hAR8MBf3f9RmfWQZI05bF8WfCKwM/r9sJ4/UXbfvNAI2eoILD1txSAw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"d0104ba392d67bd6f784414f614071cfd89812a52e06b8857f1ab95218c29d94","last_reissued_at":"2026-05-18T02:32:44.892971Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:32:44.892971Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Bernstein Numbers of Embeddings of Isotropic and Dominating Mixed Besov Spaces","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.FA","authors_text":"Van Kien Nguyen","submitted_at":"2014-11-26T14:39:45Z","abstract_excerpt":"The purpose of the present paper is to investigate the decay of Bernstein numbers of the embedding from $B^t_{p_1,q}((0,1)^d)$ into the space $L_{p_2}((0,1)^d) $. The asymptotic behaviour of Bernstein numbers of the identity $id: S_{p_1,p_1}^tB((0,1)^d)\\rightarrow L_{p_2}((0,1)^d)$ will be also considered."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1411.7246","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":"1411.7246","created_at":"2026-05-18T02:32:44.893044+00:00"},{"alias_kind":"arxiv_version","alias_value":"1411.7246v1","created_at":"2026-05-18T02:32:44.893044+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1411.7246","created_at":"2026-05-18T02:32:44.893044+00:00"},{"alias_kind":"pith_short_12","alias_value":"2AIEXI4S2Z55","created_at":"2026-05-18T12:28:09.283467+00:00"},{"alias_kind":"pith_short_16","alias_value":"2AIEXI4S2Z55N54E","created_at":"2026-05-18T12:28:09.283467+00:00"},{"alias_kind":"pith_short_8","alias_value":"2AIEXI4S","created_at":"2026-05-18T12:28:09.283467+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/2AIEXI4S2Z55N54EIFHWCQDRZ7","json":"https://pith.science/pith/2AIEXI4S2Z55N54EIFHWCQDRZ7.json","graph_json":"https://pith.science/api/pith-number/2AIEXI4S2Z55N54EIFHWCQDRZ7/graph.json","events_json":"https://pith.science/api/pith-number/2AIEXI4S2Z55N54EIFHWCQDRZ7/events.json","paper":"https://pith.science/paper/2AIEXI4S"},"agent_actions":{"view_html":"https://pith.science/pith/2AIEXI4S2Z55N54EIFHWCQDRZ7","download_json":"https://pith.science/pith/2AIEXI4S2Z55N54EIFHWCQDRZ7.json","view_paper":"https://pith.science/paper/2AIEXI4S","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1411.7246&json=true","fetch_graph":"https://pith.science/api/pith-number/2AIEXI4S2Z55N54EIFHWCQDRZ7/graph.json","fetch_events":"https://pith.science/api/pith-number/2AIEXI4S2Z55N54EIFHWCQDRZ7/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/2AIEXI4S2Z55N54EIFHWCQDRZ7/action/timestamp_anchor","attest_storage":"https://pith.science/pith/2AIEXI4S2Z55N54EIFHWCQDRZ7/action/storage_attestation","attest_author":"https://pith.science/pith/2AIEXI4S2Z55N54EIFHWCQDRZ7/action/author_attestation","sign_citation":"https://pith.science/pith/2AIEXI4S2Z55N54EIFHWCQDRZ7/action/citation_signature","submit_replication":"https://pith.science/pith/2AIEXI4S2Z55N54EIFHWCQDRZ7/action/replication_record"}},"created_at":"2026-05-18T02:32:44.893044+00:00","updated_at":"2026-05-18T02:32:44.893044+00:00"}