{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:SR76GOHZ632AK6MEIDBHQCFQO6","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":"eac5b8b7dedf81fbb5b2d9acdfd2eaea2080edbc5d974b811795a50e4f5d3ee3","cross_cats_sorted":["math.FA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OA","submitted_at":"2016-06-02T13:11:20Z","title_canon_sha256":"fb8abe3b50e601eac08a2fc9ea97847b6167f9da4d6242625bb200e25c42f6a1"},"schema_version":"1.0","source":{"id":"1606.00661","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1606.00661","created_at":"2026-05-18T01:12:26Z"},{"alias_kind":"arxiv_version","alias_value":"1606.00661v2","created_at":"2026-05-18T01:12:26Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1606.00661","created_at":"2026-05-18T01:12:26Z"},{"alias_kind":"pith_short_12","alias_value":"SR76GOHZ632A","created_at":"2026-05-18T12:30:44Z"},{"alias_kind":"pith_short_16","alias_value":"SR76GOHZ632AK6ME","created_at":"2026-05-18T12:30:44Z"},{"alias_kind":"pith_short_8","alias_value":"SR76GOHZ","created_at":"2026-05-18T12:30:44Z"}],"graph_snapshots":[{"event_id":"sha256:2ef50521f1a9c8e30fc1bc04a68f6040b9d00bda4f36c78f308406daacd0d274","target":"graph","created_at":"2026-05-18T01:12:26Z","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":"We introduce two new formulations for the notion of \"quantum metric on noncommutative space\". For a compact noncommutative space associated to a unital C*-algebra, our quantum metrics are elements of the spatial tensor product of the C*-algebra with itself. We consider some basic properties of these new objects, and state some connections with the Rieffel theory of compact quantum metric spaces. The main gap in our work is the lack of a nonclassical example even in the case of C*-algebras of matrices.","authors_text":"Maysam Maysami Sadr","cross_cats":["math.FA"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OA","submitted_at":"2016-06-02T13:11:20Z","title":"Quantum metrics on noncommutative spaces"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1606.00661","kind":"arxiv","version":2},"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":"sha256:736f63128d389b8b7a3014e68edd5e6365840e41625831404d936a697ee61c92","target":"record","created_at":"2026-05-18T01:12:26Z","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":"eac5b8b7dedf81fbb5b2d9acdfd2eaea2080edbc5d974b811795a50e4f5d3ee3","cross_cats_sorted":["math.FA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OA","submitted_at":"2016-06-02T13:11:20Z","title_canon_sha256":"fb8abe3b50e601eac08a2fc9ea97847b6167f9da4d6242625bb200e25c42f6a1"},"schema_version":"1.0","source":{"id":"1606.00661","kind":"arxiv","version":2}},"canonical_sha256":"947fe338f9f6f405798440c27808b077ae7f3ff76fe1721a3247734adffc9bf5","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"947fe338f9f6f405798440c27808b077ae7f3ff76fe1721a3247734adffc9bf5","first_computed_at":"2026-05-18T01:12:26.287933Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:12:26.287933Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"gVGEt94cV3eH0fWOAGlFfQ262Po9weDmn6ANIjwBxncMtaQwOTgoqkR+0JwuqXUdrEr+6DbPq1QQHX9zpRQICA==","signature_status":"signed_v1","signed_at":"2026-05-18T01:12:26.288256Z","signed_message":"canonical_sha256_bytes"},"source_id":"1606.00661","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:736f63128d389b8b7a3014e68edd5e6365840e41625831404d936a697ee61c92","sha256:2ef50521f1a9c8e30fc1bc04a68f6040b9d00bda4f36c78f308406daacd0d274"],"state_sha256":"28f348bbbc6e60ed5b9980924ed14fd2227d7db917847913d1c4877886fe525c"}