{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2018:7JCPO2FVYPZB6H5HE2OTDJ4GMV","short_pith_number":"pith:7JCPO2FV","schema_version":"1.0","canonical_sha256":"fa44f768b5c3f21f1fa7269d31a78665431d5c534d5974962d387a7daa62e427","source":{"kind":"arxiv","id":"1803.08236","version":4},"attestation_state":"computed","paper":{"title":"Isometries on Banach algebras of $C(Y)$-valued maps","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.FA","authors_text":"Osamu Hatori","submitted_at":"2018-03-22T06:03:59Z","abstract_excerpt":"We propose a unified approach to the study of isometries on algebras of vector-valued Lipschitz maps and those of continuously differentiable maps by means of the notion of natural $C(Y)$-valuezations that take values in unital commutative $C^*$-algebras. A precise proof of a theorem of Jarosz \\cite{ja} is exhibited."},"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":"1803.08236","kind":"arxiv","version":4},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.FA","submitted_at":"2018-03-22T06:03:59Z","cross_cats_sorted":[],"title_canon_sha256":"4b0c91a2c6854d0f8afe6ab6585e6d198da5cd53733dc8bee56b5024ed82bac1","abstract_canon_sha256":"acab990b1eba6f73da532c2571407a27114508ce64b6f7c860443bf5fa55cc6f"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:49:11.819948Z","signature_b64":"XbJD4IAHSZ/nLDEPXA/sHdsQim1FdFdntgUzfrn3zTZD00/vIw2nyZqyqo4Ty9m1IBEJri/Vt+d3aUeTsBWdBw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"fa44f768b5c3f21f1fa7269d31a78665431d5c534d5974962d387a7daa62e427","last_reissued_at":"2026-05-17T23:49:11.819210Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:49:11.819210Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Isometries on Banach algebras of $C(Y)$-valued maps","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.FA","authors_text":"Osamu Hatori","submitted_at":"2018-03-22T06:03:59Z","abstract_excerpt":"We propose a unified approach to the study of isometries on algebras of vector-valued Lipschitz maps and those of continuously differentiable maps by means of the notion of natural $C(Y)$-valuezations that take values in unital commutative $C^*$-algebras. A precise proof of a theorem of Jarosz \\cite{ja} is exhibited."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1803.08236","kind":"arxiv","version":4},"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":"1803.08236","created_at":"2026-05-17T23:49:11.819343+00:00"},{"alias_kind":"arxiv_version","alias_value":"1803.08236v4","created_at":"2026-05-17T23:49:11.819343+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1803.08236","created_at":"2026-05-17T23:49:11.819343+00:00"},{"alias_kind":"pith_short_12","alias_value":"7JCPO2FVYPZB","created_at":"2026-05-18T12:32:11.075285+00:00"},{"alias_kind":"pith_short_16","alias_value":"7JCPO2FVYPZB6H5H","created_at":"2026-05-18T12:32:11.075285+00:00"},{"alias_kind":"pith_short_8","alias_value":"7JCPO2FV","created_at":"2026-05-18T12:32:11.075285+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/7JCPO2FVYPZB6H5HE2OTDJ4GMV","json":"https://pith.science/pith/7JCPO2FVYPZB6H5HE2OTDJ4GMV.json","graph_json":"https://pith.science/api/pith-number/7JCPO2FVYPZB6H5HE2OTDJ4GMV/graph.json","events_json":"https://pith.science/api/pith-number/7JCPO2FVYPZB6H5HE2OTDJ4GMV/events.json","paper":"https://pith.science/paper/7JCPO2FV"},"agent_actions":{"view_html":"https://pith.science/pith/7JCPO2FVYPZB6H5HE2OTDJ4GMV","download_json":"https://pith.science/pith/7JCPO2FVYPZB6H5HE2OTDJ4GMV.json","view_paper":"https://pith.science/paper/7JCPO2FV","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1803.08236&json=true","fetch_graph":"https://pith.science/api/pith-number/7JCPO2FVYPZB6H5HE2OTDJ4GMV/graph.json","fetch_events":"https://pith.science/api/pith-number/7JCPO2FVYPZB6H5HE2OTDJ4GMV/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/7JCPO2FVYPZB6H5HE2OTDJ4GMV/action/timestamp_anchor","attest_storage":"https://pith.science/pith/7JCPO2FVYPZB6H5HE2OTDJ4GMV/action/storage_attestation","attest_author":"https://pith.science/pith/7JCPO2FVYPZB6H5HE2OTDJ4GMV/action/author_attestation","sign_citation":"https://pith.science/pith/7JCPO2FVYPZB6H5HE2OTDJ4GMV/action/citation_signature","submit_replication":"https://pith.science/pith/7JCPO2FVYPZB6H5HE2OTDJ4GMV/action/replication_record"}},"created_at":"2026-05-17T23:49:11.819343+00:00","updated_at":"2026-05-17T23:49:11.819343+00:00"}