{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2018:XVLNPEREXMISIQK2436VDGRKUA","short_pith_number":"pith:XVLNPERE","schema_version":"1.0","canonical_sha256":"bd56d79224bb1124415ae6fd519a2aa026e9de9464c7c799146b348ac8f0324d","source":{"kind":"arxiv","id":"1803.10456","version":1},"attestation_state":"computed","paper":{"title":"Compact homomorphisms between algebras of $C(K)$-valued Lipschitz functions","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.FA","authors_text":"Hiroyuki Takagi, Shinnosuke Izumi","submitted_at":"2018-03-28T08:27:32Z","abstract_excerpt":"We give a complete description of homomorphisms between two Banach algebras of Lipschitz functions with values in continuous functions. We also characterize the compactness of those homomorphisms."},"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":"1803.10456","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.FA","submitted_at":"2018-03-28T08:27:32Z","cross_cats_sorted":[],"title_canon_sha256":"9a7733a7afd9a13d0263ed451ff04a134eb712a1de26276f0e04ba9c415a9c3a","abstract_canon_sha256":"4c28d1185201143d11ed91a8a441b27aa5a3c5b149c4003a38ad197dd2735c38"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:19:55.357477Z","signature_b64":"wNeyTaaA9+cI+jewbtUeD/A3CqjEaC+2DqVlzSHDATSv9QZgSiUIeD1Xm8aWjz3+Ae0xPo6BRWR7etW74nNnCQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"bd56d79224bb1124415ae6fd519a2aa026e9de9464c7c799146b348ac8f0324d","last_reissued_at":"2026-05-18T00:19:55.356776Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:19:55.356776Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Compact homomorphisms between algebras of $C(K)$-valued Lipschitz functions","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.FA","authors_text":"Hiroyuki Takagi, Shinnosuke Izumi","submitted_at":"2018-03-28T08:27:32Z","abstract_excerpt":"We give a complete description of homomorphisms between two Banach algebras of Lipschitz functions with values in continuous functions. We also characterize the compactness of those homomorphisms."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1803.10456","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":"1803.10456","created_at":"2026-05-18T00:19:55.356877+00:00"},{"alias_kind":"arxiv_version","alias_value":"1803.10456v1","created_at":"2026-05-18T00:19:55.356877+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1803.10456","created_at":"2026-05-18T00:19:55.356877+00:00"},{"alias_kind":"pith_short_12","alias_value":"XVLNPEREXMIS","created_at":"2026-05-18T12:33:01.666342+00:00"},{"alias_kind":"pith_short_16","alias_value":"XVLNPEREXMISIQK2","created_at":"2026-05-18T12:33:01.666342+00:00"},{"alias_kind":"pith_short_8","alias_value":"XVLNPERE","created_at":"2026-05-18T12:33:01.666342+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/XVLNPEREXMISIQK2436VDGRKUA","json":"https://pith.science/pith/XVLNPEREXMISIQK2436VDGRKUA.json","graph_json":"https://pith.science/api/pith-number/XVLNPEREXMISIQK2436VDGRKUA/graph.json","events_json":"https://pith.science/api/pith-number/XVLNPEREXMISIQK2436VDGRKUA/events.json","paper":"https://pith.science/paper/XVLNPERE"},"agent_actions":{"view_html":"https://pith.science/pith/XVLNPEREXMISIQK2436VDGRKUA","download_json":"https://pith.science/pith/XVLNPEREXMISIQK2436VDGRKUA.json","view_paper":"https://pith.science/paper/XVLNPERE","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1803.10456&json=true","fetch_graph":"https://pith.science/api/pith-number/XVLNPEREXMISIQK2436VDGRKUA/graph.json","fetch_events":"https://pith.science/api/pith-number/XVLNPEREXMISIQK2436VDGRKUA/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/XVLNPEREXMISIQK2436VDGRKUA/action/timestamp_anchor","attest_storage":"https://pith.science/pith/XVLNPEREXMISIQK2436VDGRKUA/action/storage_attestation","attest_author":"https://pith.science/pith/XVLNPEREXMISIQK2436VDGRKUA/action/author_attestation","sign_citation":"https://pith.science/pith/XVLNPEREXMISIQK2436VDGRKUA/action/citation_signature","submit_replication":"https://pith.science/pith/XVLNPEREXMISIQK2436VDGRKUA/action/replication_record"}},"created_at":"2026-05-18T00:19:55.356877+00:00","updated_at":"2026-05-18T00:19:55.356877+00:00"}