{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2017:NHPPEF5EUJFQ4VWM2NUFBI7ZAJ","short_pith_number":"pith:NHPPEF5E","schema_version":"1.0","canonical_sha256":"69def217a4a24b0e56ccd36850a3f90266c72cc0e721dfb344bd3bc9f990e01c","source":{"kind":"arxiv","id":"1708.02897","version":1},"attestation_state":"computed","paper":{"title":"2-local standard isometries on vector-valued Lipschitz function spaces","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.FA","authors_text":"Antonio Jim\\'enez-Vargas, Antonio M. Peralta, Lei Li, Liguang Wang, Ya-Shu Wang","submitted_at":"2017-08-09T16:23:40Z","abstract_excerpt":"Under the right conditions on a compact metric space $X$ and on a Banach space $E$, we give a description of the $2$-local (standard) isometries on the Banach space $\\hbox{Lip}(X,E)$ of vector-valued Lipschitz functions from $X$ to $E$ in terms of a generalized composition operator, and we study when every $2$-local (standard) isometry on $\\hbox{Lip}(X,E)$ is both linear and surjective."},"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":"1708.02897","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.FA","submitted_at":"2017-08-09T16:23:40Z","cross_cats_sorted":[],"title_canon_sha256":"a899f00c35f82695d31ac48df6f7099c90d6ee0deae0436bfd1c82b2ee49ee7c","abstract_canon_sha256":"0bdd27f52ebca50ff12be94f80e7e07ea8831f12a877b84aefd210148bddc4f0"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:38:19.219673Z","signature_b64":"OR72C/3a2LYsk8glbb2ilD9tLgfD+BaCfbqv81Oc87TB9NdN5EhujZIGFLY/2TltlL8Nd+sBNpYYPGE5rF5cAQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"69def217a4a24b0e56ccd36850a3f90266c72cc0e721dfb344bd3bc9f990e01c","last_reissued_at":"2026-05-18T00:38:19.218620Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:38:19.218620Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"2-local standard isometries on vector-valued Lipschitz function spaces","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.FA","authors_text":"Antonio Jim\\'enez-Vargas, Antonio M. Peralta, Lei Li, Liguang Wang, Ya-Shu Wang","submitted_at":"2017-08-09T16:23:40Z","abstract_excerpt":"Under the right conditions on a compact metric space $X$ and on a Banach space $E$, we give a description of the $2$-local (standard) isometries on the Banach space $\\hbox{Lip}(X,E)$ of vector-valued Lipschitz functions from $X$ to $E$ in terms of a generalized composition operator, and we study when every $2$-local (standard) isometry on $\\hbox{Lip}(X,E)$ is both linear and surjective."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1708.02897","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":"1708.02897","created_at":"2026-05-18T00:38:19.218861+00:00"},{"alias_kind":"arxiv_version","alias_value":"1708.02897v1","created_at":"2026-05-18T00:38:19.218861+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1708.02897","created_at":"2026-05-18T00:38:19.218861+00:00"},{"alias_kind":"pith_short_12","alias_value":"NHPPEF5EUJFQ","created_at":"2026-05-18T12:31:31.346846+00:00"},{"alias_kind":"pith_short_16","alias_value":"NHPPEF5EUJFQ4VWM","created_at":"2026-05-18T12:31:31.346846+00:00"},{"alias_kind":"pith_short_8","alias_value":"NHPPEF5E","created_at":"2026-05-18T12:31:31.346846+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/NHPPEF5EUJFQ4VWM2NUFBI7ZAJ","json":"https://pith.science/pith/NHPPEF5EUJFQ4VWM2NUFBI7ZAJ.json","graph_json":"https://pith.science/api/pith-number/NHPPEF5EUJFQ4VWM2NUFBI7ZAJ/graph.json","events_json":"https://pith.science/api/pith-number/NHPPEF5EUJFQ4VWM2NUFBI7ZAJ/events.json","paper":"https://pith.science/paper/NHPPEF5E"},"agent_actions":{"view_html":"https://pith.science/pith/NHPPEF5EUJFQ4VWM2NUFBI7ZAJ","download_json":"https://pith.science/pith/NHPPEF5EUJFQ4VWM2NUFBI7ZAJ.json","view_paper":"https://pith.science/paper/NHPPEF5E","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1708.02897&json=true","fetch_graph":"https://pith.science/api/pith-number/NHPPEF5EUJFQ4VWM2NUFBI7ZAJ/graph.json","fetch_events":"https://pith.science/api/pith-number/NHPPEF5EUJFQ4VWM2NUFBI7ZAJ/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/NHPPEF5EUJFQ4VWM2NUFBI7ZAJ/action/timestamp_anchor","attest_storage":"https://pith.science/pith/NHPPEF5EUJFQ4VWM2NUFBI7ZAJ/action/storage_attestation","attest_author":"https://pith.science/pith/NHPPEF5EUJFQ4VWM2NUFBI7ZAJ/action/author_attestation","sign_citation":"https://pith.science/pith/NHPPEF5EUJFQ4VWM2NUFBI7ZAJ/action/citation_signature","submit_replication":"https://pith.science/pith/NHPPEF5EUJFQ4VWM2NUFBI7ZAJ/action/replication_record"}},"created_at":"2026-05-18T00:38:19.218861+00:00","updated_at":"2026-05-18T00:38:19.218861+00:00"}