{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2006:7KNW4HAJKXXMG2GP7D2OF7VH34","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":"2d4bdfd1515de78b270d2f515c1c48003ba525b8c2f137c4060afd80ded8fd83","cross_cats_sorted":["math-ph","math.MP"],"license":"","primary_cat":"math.OA","submitted_at":"2006-11-17T08:44:59Z","title_canon_sha256":"3062ffb4d0a75494408ef60049049efb415da7bc9c1feb8e62c38664c9586d25"},"schema_version":"1.0","source":{"id":"math/0611520","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"math/0611520","created_at":"2026-05-18T04:08:05Z"},{"alias_kind":"arxiv_version","alias_value":"math/0611520v1","created_at":"2026-05-18T04:08:05Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.math/0611520","created_at":"2026-05-18T04:08:05Z"},{"alias_kind":"pith_short_12","alias_value":"7KNW4HAJKXXM","created_at":"2026-05-18T12:25:53Z"},{"alias_kind":"pith_short_16","alias_value":"7KNW4HAJKXXMG2GP","created_at":"2026-05-18T12:25:53Z"},{"alias_kind":"pith_short_8","alias_value":"7KNW4HAJ","created_at":"2026-05-18T12:25:53Z"}],"graph_snapshots":[{"event_id":"sha256:1baed4c3404c9503a865297f11073bcc2780f67e5e861a3d580e40c23654a856","target":"graph","created_at":"2026-05-18T04:08:05Z","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 give a short proof of the nuclearity property of a class of Cuntz-Pimsner algebras associated with a Hilbert A-bimodule M, where A is a separable and nuclear C*-algebra. We assume that the left A-action on the bimodule M is given in terms of compact module operators and that M is direct summand of the standard Hilbert module over A.","authors_text":"Ezio Vasselli, Fernando Lled\\'o","cross_cats":["math-ph","math.MP"],"headline":"","license":"","primary_cat":"math.OA","submitted_at":"2006-11-17T08:44:59Z","title":"On the nuclearity of certain Cuntz-Pimsner algebras"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"math/0611520","kind":"arxiv","version":1},"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":"sha256:1ac19cda300599266842fd1a8c611b247ac9bc6ac348646936f5e15bd70d1efc","target":"record","created_at":"2026-05-18T04:08:05Z","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":"2d4bdfd1515de78b270d2f515c1c48003ba525b8c2f137c4060afd80ded8fd83","cross_cats_sorted":["math-ph","math.MP"],"license":"","primary_cat":"math.OA","submitted_at":"2006-11-17T08:44:59Z","title_canon_sha256":"3062ffb4d0a75494408ef60049049efb415da7bc9c1feb8e62c38664c9586d25"},"schema_version":"1.0","source":{"id":"math/0611520","kind":"arxiv","version":1}},"canonical_sha256":"fa9b6e1c0955eec368cff8f4e2fea7df23cb06566f1ba0889b8588cd4bf49e09","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"fa9b6e1c0955eec368cff8f4e2fea7df23cb06566f1ba0889b8588cd4bf49e09","first_computed_at":"2026-05-18T04:08:05.427208Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:08:05.427208Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"NJ7g4Vm4W2KrkC0YbQ9Gh4mtRJzVS8L+AhJfFI75P8seRfwPL4jnY7pB5mQtT/BQs/MKr8Vh+VxdPwEDdf+9BQ==","signature_status":"signed_v1","signed_at":"2026-05-18T04:08:05.427901Z","signed_message":"canonical_sha256_bytes"},"source_id":"math/0611520","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:1ac19cda300599266842fd1a8c611b247ac9bc6ac348646936f5e15bd70d1efc","sha256:1baed4c3404c9503a865297f11073bcc2780f67e5e861a3d580e40c23654a856"],"state_sha256":"b51304d8c916220aa0fc194b9a25fb7ce3b621acad9c1f8add9dc32b1ee0be65"}