{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2012:U553SQX5OKJDLAM3PL6NYM2ZHM","short_pith_number":"pith:U553SQX5","canonical_record":{"source":{"id":"1201.5414","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OA","submitted_at":"2012-01-25T23:36:26Z","cross_cats_sorted":[],"title_canon_sha256":"3f8ac8a9b2fc99a0b9110c1897003385180bf89c799addf1ef2f343a4e966190","abstract_canon_sha256":"39feb5fcf5bbdca69aea168cb1c6d2e7770fd28bd92e111e255b2bfedbb43f73"},"schema_version":"1.0"},"canonical_sha256":"a77bb942fd729235819b7afcdc33593b1e69655b1b7426668e524fe1af89f62c","source":{"kind":"arxiv","id":"1201.5414","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1201.5414","created_at":"2026-05-18T04:03:54Z"},{"alias_kind":"arxiv_version","alias_value":"1201.5414v1","created_at":"2026-05-18T04:03:54Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1201.5414","created_at":"2026-05-18T04:03:54Z"},{"alias_kind":"pith_short_12","alias_value":"U553SQX5OKJD","created_at":"2026-05-18T12:27:23Z"},{"alias_kind":"pith_short_16","alias_value":"U553SQX5OKJDLAM3","created_at":"2026-05-18T12:27:23Z"},{"alias_kind":"pith_short_8","alias_value":"U553SQX5","created_at":"2026-05-18T12:27:23Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2012:U553SQX5OKJDLAM3PL6NYM2ZHM","target":"record","payload":{"canonical_record":{"source":{"id":"1201.5414","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OA","submitted_at":"2012-01-25T23:36:26Z","cross_cats_sorted":[],"title_canon_sha256":"3f8ac8a9b2fc99a0b9110c1897003385180bf89c799addf1ef2f343a4e966190","abstract_canon_sha256":"39feb5fcf5bbdca69aea168cb1c6d2e7770fd28bd92e111e255b2bfedbb43f73"},"schema_version":"1.0"},"canonical_sha256":"a77bb942fd729235819b7afcdc33593b1e69655b1b7426668e524fe1af89f62c","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:03:54.068094Z","signature_b64":"IL17i0FDFQ+XPZNtigatc3pQokxAKtmSviMzZrETw6M0XXfPer1wnb0+WW1OFFnrAuUaF4+eVXv7ZdRzC4K1CA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"a77bb942fd729235819b7afcdc33593b1e69655b1b7426668e524fe1af89f62c","last_reissued_at":"2026-05-18T04:03:54.067580Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:03:54.067580Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1201.5414","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T04:03:54Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"aG62q1+pdkdYn7g4VLYe2lT4BfGyc/kdWSBG/2oVgVm/N8+Xb0h6YeDYQPeG1knfRKXv7V4ks+vWaF7NuPThCg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-30T08:57:18.104288Z"},"content_sha256":"3102387bb317909e2466adcff347ac4689858405097c4418bfad6e40e56e5478","schema_version":"1.0","event_id":"sha256:3102387bb317909e2466adcff347ac4689858405097c4418bfad6e40e56e5478"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2012:U553SQX5OKJDLAM3PL6NYM2ZHM","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"The Weak Expectation Property and Riesz Interpolation","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.OA","authors_text":"Ali S. Kavruk","submitted_at":"2012-01-25T23:36:26Z","abstract_excerpt":"We show that Lance's weak expectation property is connected to tight Riesz interpolations in lattice theory. More precisely we first prove that if A \\subset B(H) is a unital C*-subalgebra, where B(H) is the bounded linear operators on a Hilbert space H, then A has (2,2) tight Riesz interpolation property in B(H) (defined below). An extension of this requires an additional assumption on A: A has (2,3) tight Riesz interpolation property in B(H) at every matricial level if and only if A has the weak expectation property.\n  Let $J = span{(1,1,-1,-1,-1)}$ in $C^5$ . We show that a unital C*-algebra"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1201.5414","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"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T04:03:54Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"L0K1e1KfnLaBM9jxf0NnTfceKtasga3ntzaNlZ3ViJAJIz9NIH+GnguIwbbgq/L0OZ1/5lJC0VLYOg9I1dZdCw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-30T08:57:18.104671Z"},"content_sha256":"ffb709347640d8ebe4dc3a9bbb334062cc9e27a56e0a945957da0b65720797d4","schema_version":"1.0","event_id":"sha256:ffb709347640d8ebe4dc3a9bbb334062cc9e27a56e0a945957da0b65720797d4"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/U553SQX5OKJDLAM3PL6NYM2ZHM/bundle.json","state_url":"https://pith.science/pith/U553SQX5OKJDLAM3PL6NYM2ZHM/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/U553SQX5OKJDLAM3PL6NYM2ZHM/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-05-30T08:57:18Z","links":{"resolver":"https://pith.science/pith/U553SQX5OKJDLAM3PL6NYM2ZHM","bundle":"https://pith.science/pith/U553SQX5OKJDLAM3PL6NYM2ZHM/bundle.json","state":"https://pith.science/pith/U553SQX5OKJDLAM3PL6NYM2ZHM/state.json","well_known_bundle":"https://pith.science/.well-known/pith/U553SQX5OKJDLAM3PL6NYM2ZHM/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:U553SQX5OKJDLAM3PL6NYM2ZHM","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":"39feb5fcf5bbdca69aea168cb1c6d2e7770fd28bd92e111e255b2bfedbb43f73","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OA","submitted_at":"2012-01-25T23:36:26Z","title_canon_sha256":"3f8ac8a9b2fc99a0b9110c1897003385180bf89c799addf1ef2f343a4e966190"},"schema_version":"1.0","source":{"id":"1201.5414","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1201.5414","created_at":"2026-05-18T04:03:54Z"},{"alias_kind":"arxiv_version","alias_value":"1201.5414v1","created_at":"2026-05-18T04:03:54Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1201.5414","created_at":"2026-05-18T04:03:54Z"},{"alias_kind":"pith_short_12","alias_value":"U553SQX5OKJD","created_at":"2026-05-18T12:27:23Z"},{"alias_kind":"pith_short_16","alias_value":"U553SQX5OKJDLAM3","created_at":"2026-05-18T12:27:23Z"},{"alias_kind":"pith_short_8","alias_value":"U553SQX5","created_at":"2026-05-18T12:27:23Z"}],"graph_snapshots":[{"event_id":"sha256:ffb709347640d8ebe4dc3a9bbb334062cc9e27a56e0a945957da0b65720797d4","target":"graph","created_at":"2026-05-18T04:03:54Z","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 show that Lance's weak expectation property is connected to tight Riesz interpolations in lattice theory. More precisely we first prove that if A \\subset B(H) is a unital C*-subalgebra, where B(H) is the bounded linear operators on a Hilbert space H, then A has (2,2) tight Riesz interpolation property in B(H) (defined below). An extension of this requires an additional assumption on A: A has (2,3) tight Riesz interpolation property in B(H) at every matricial level if and only if A has the weak expectation property.\n  Let $J = span{(1,1,-1,-1,-1)}$ in $C^5$ . We show that a unital C*-algebra","authors_text":"Ali S. Kavruk","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OA","submitted_at":"2012-01-25T23:36:26Z","title":"The Weak Expectation Property and Riesz Interpolation"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1201.5414","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":"sha256:3102387bb317909e2466adcff347ac4689858405097c4418bfad6e40e56e5478","target":"record","created_at":"2026-05-18T04:03:54Z","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":"39feb5fcf5bbdca69aea168cb1c6d2e7770fd28bd92e111e255b2bfedbb43f73","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OA","submitted_at":"2012-01-25T23:36:26Z","title_canon_sha256":"3f8ac8a9b2fc99a0b9110c1897003385180bf89c799addf1ef2f343a4e966190"},"schema_version":"1.0","source":{"id":"1201.5414","kind":"arxiv","version":1}},"canonical_sha256":"a77bb942fd729235819b7afcdc33593b1e69655b1b7426668e524fe1af89f62c","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"a77bb942fd729235819b7afcdc33593b1e69655b1b7426668e524fe1af89f62c","first_computed_at":"2026-05-18T04:03:54.067580Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:03:54.067580Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"IL17i0FDFQ+XPZNtigatc3pQokxAKtmSviMzZrETw6M0XXfPer1wnb0+WW1OFFnrAuUaF4+eVXv7ZdRzC4K1CA==","signature_status":"signed_v1","signed_at":"2026-05-18T04:03:54.068094Z","signed_message":"canonical_sha256_bytes"},"source_id":"1201.5414","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:3102387bb317909e2466adcff347ac4689858405097c4418bfad6e40e56e5478","sha256:ffb709347640d8ebe4dc3a9bbb334062cc9e27a56e0a945957da0b65720797d4"],"state_sha256":"ec31dbabadca8b3e25018593cf99ac778fe1d5c7d9f3a73dcc80ef92ae9992b8"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"GzKwlpVLrQkQiPI4z6t6mejwN8eXTIgvMJVkLliDR1DaSKcvt6H8EGDLRbU53Djt8y8WgISFCCmoDZ/YVG2jBQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-30T08:57:18.106991Z","bundle_sha256":"410cf7612a58e1e2183d650b206e1802248cb944993066c91522d65667f7046e"}}