{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:ATVXDAJLZZ3YAXK5HD4UXUNBPU","merge_version":"pith-open-graph-merge-v1","event_count":2,"valid_event_count":2,"invalid_event_count":0,"equivocation_count":0,"current":{"canonical_record":{"metadata":{"abstract_canon_sha256":"59e741d35f6a19f429a37de38e9b7b1ff25416240c1bf7014d98be1dd283d24e","cross_cats_sorted":["math.FA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OA","submitted_at":"2017-11-24T00:41:39Z","title_canon_sha256":"e5776d9422fc1ea6f865206542f206b2c661eaf8b61b1941106fece9ff9035c1"},"schema_version":"1.0","source":{"id":"1711.08846","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1711.08846","created_at":"2026-05-18T00:20:16Z"},{"alias_kind":"arxiv_version","alias_value":"1711.08846v3","created_at":"2026-05-18T00:20:16Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1711.08846","created_at":"2026-05-18T00:20:16Z"},{"alias_kind":"pith_short_12","alias_value":"ATVXDAJLZZ3Y","created_at":"2026-05-18T12:31:08Z"},{"alias_kind":"pith_short_16","alias_value":"ATVXDAJLZZ3YAXK5","created_at":"2026-05-18T12:31:08Z"},{"alias_kind":"pith_short_8","alias_value":"ATVXDAJL","created_at":"2026-05-18T12:31:08Z"}],"graph_snapshots":[{"event_id":"sha256:8a4a8d4ab4f45cb634897f522b15b8bfe3c8b8bf3f985808752e3202968da8e6","target":"graph","created_at":"2026-05-18T00:20:16Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"graph_snapshot":{"author_claims":{"count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","strong_count":0},"builder_version":"pith-number-builder-2026-05-17-v1","claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"paper":{"abstract_excerpt":"Given a compact metric space X and a unital C*-algebra A, we introduce a family of seminorms on the C*-algebra of continuous functions from X to A, denoted C(X, A), induced by classical Lipschitz seminorms that produce compact quantum metrics in the sense of Rieffel if and only if A is finite-dimensional. As a consequence, we are able isometrically embed X into the state space of C(X,A). Furthermore, we are able to extend convergence of compact metric spaces in the Gromov-Hausdorff distance to convergence of spaces of matrices over continuous functions on the associated compact metric spaces i","authors_text":"Konrad Aguilar, Tristan Bice","cross_cats":["math.FA"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OA","submitted_at":"2017-11-24T00:41:39Z","title":"Standard homogeneous C*-algebras as compact quantum metric spaces"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1711.08846","kind":"arxiv","version":3},"verdict":{"created_at":null,"id":null,"model_set":{},"one_line_summary":"","pipeline_version":null,"pith_extraction_headline":"","strongest_claim":"","weakest_assumption":""}},"verdict_id":null}}],"author_attestations":[],"timestamp_anchors":[],"storage_attestations":[],"citation_signatures":[],"replication_records":[],"corrections":[],"mirror_hints":[],"record_created":{"event_id":"sha256:110f247074d15cb4d814cb91697571a8dc740d045bfb550eeeaa11c755fcacff","target":"record","created_at":"2026-05-18T00:20:16Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"attestation_state":"computed","canonical_record":{"metadata":{"abstract_canon_sha256":"59e741d35f6a19f429a37de38e9b7b1ff25416240c1bf7014d98be1dd283d24e","cross_cats_sorted":["math.FA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OA","submitted_at":"2017-11-24T00:41:39Z","title_canon_sha256":"e5776d9422fc1ea6f865206542f206b2c661eaf8b61b1941106fece9ff9035c1"},"schema_version":"1.0","source":{"id":"1711.08846","kind":"arxiv","version":3}},"canonical_sha256":"04eb71812bce77805d5d38f94bd1a17d07e51ab7112acdb9cef6424d38d89553","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"04eb71812bce77805d5d38f94bd1a17d07e51ab7112acdb9cef6424d38d89553","first_computed_at":"2026-05-18T00:20:16.432240Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:20:16.432240Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"GgjIXrfRPLnF0vif28rsntBOvCXxLj0auGDtlnzxCD0/O2fsOt/ENDwNrjJtkvmdxSbz7wr9zPQi9FPy2DUACQ==","signature_status":"signed_v1","signed_at":"2026-05-18T00:20:16.432884Z","signed_message":"canonical_sha256_bytes"},"source_id":"1711.08846","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:110f247074d15cb4d814cb91697571a8dc740d045bfb550eeeaa11c755fcacff","sha256:8a4a8d4ab4f45cb634897f522b15b8bfe3c8b8bf3f985808752e3202968da8e6"],"state_sha256":"3d8ac61884696b3b982f31dc5bbce76ce6b2913fc8e58f49a6d8a29ac49afdb7"}