{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2014:4KL6GYMWWL2NF62YNIMPXEUPT7","short_pith_number":"pith:4KL6GYMW","canonical_record":{"source":{"id":"1403.0747","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OA","submitted_at":"2014-03-04T11:45:49Z","cross_cats_sorted":[],"title_canon_sha256":"7207d48bbb986acf0464e7304f8bfc436eb7b5239ab9606fa02e34d00760c5c0","abstract_canon_sha256":"197dd4139b5aa7c6c391f46138c0309b57df6213ef3f80853f2a8d3a40704a32"},"schema_version":"1.0"},"canonical_sha256":"e297e36196b2f4d2fb586a18fb928f9ffeb4ded45395a404c679db647e33eb81","source":{"kind":"arxiv","id":"1403.0747","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1403.0747","created_at":"2026-05-18T01:25:55Z"},{"alias_kind":"arxiv_version","alias_value":"1403.0747v2","created_at":"2026-05-18T01:25:55Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1403.0747","created_at":"2026-05-18T01:25:55Z"},{"alias_kind":"pith_short_12","alias_value":"4KL6GYMWWL2N","created_at":"2026-05-18T12:28:14Z"},{"alias_kind":"pith_short_16","alias_value":"4KL6GYMWWL2NF62Y","created_at":"2026-05-18T12:28:14Z"},{"alias_kind":"pith_short_8","alias_value":"4KL6GYMW","created_at":"2026-05-18T12:28:14Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2014:4KL6GYMWWL2NF62YNIMPXEUPT7","target":"record","payload":{"canonical_record":{"source":{"id":"1403.0747","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OA","submitted_at":"2014-03-04T11:45:49Z","cross_cats_sorted":[],"title_canon_sha256":"7207d48bbb986acf0464e7304f8bfc436eb7b5239ab9606fa02e34d00760c5c0","abstract_canon_sha256":"197dd4139b5aa7c6c391f46138c0309b57df6213ef3f80853f2a8d3a40704a32"},"schema_version":"1.0"},"canonical_sha256":"e297e36196b2f4d2fb586a18fb928f9ffeb4ded45395a404c679db647e33eb81","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:25:55.846898Z","signature_b64":"7IA9HEPmoOqJ3ofRHeRkp8+IvTtOBqstQlheMQ8p0DDKBWFp7tp13NfiVR1o9NlrL3kcA2v445ZZSNK8fT2SAw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"e297e36196b2f4d2fb586a18fb928f9ffeb4ded45395a404c679db647e33eb81","last_reissued_at":"2026-05-18T01:25:55.846291Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:25:55.846291Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1403.0747","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T01:25:55Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"5DVBgfR828wwuxiZ7ENs/xZ9xEqUUig4rYxOOUyL0nRl3IFJv27OeiaEa7MgTzxMzLd90KqI+Mpbd+OJC99aCQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-30T00:49:27.297448Z"},"content_sha256":"40eab429a58f52f7cb144b97899d892fc9bc61fc271bf3c02a6797c4764f659b","schema_version":"1.0","event_id":"sha256:40eab429a58f52f7cb144b97899d892fc9bc61fc271bf3c02a6797c4764f659b"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2014:4KL6GYMWWL2NF62YNIMPXEUPT7","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Nuclear dimension and Z-stability","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.OA","authors_text":"Stuart White, Wilhelm Winter, Yasuhiko Sato","submitted_at":"2014-03-04T11:45:49Z","abstract_excerpt":"Simple, separable, unital, monotracial and nuclear C$^*$-algebras are shown to have finite nuclear dimension whenever they absorb the Jiang-Su algebra $\\mathcal{Z}$ tensorially. This completes the proof of the Toms-Winter conjecture in the unique trace case."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1403.0747","kind":"arxiv","version":2},"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":"2026-05-18T01:25:55Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"yXxFMp8d3NURdhGdXZ7SAphmneGLlfuSV/VSRNYoSOk0qPlb4H7nJfNNYW68gp4azQipTYN+jLo6ZD1GEMzwAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-30T00:49:27.298191Z"},"content_sha256":"65fb17a56196e54c17b42182532cee02f72726bdc2c84b75dd11e506d6bf2efb","schema_version":"1.0","event_id":"sha256:65fb17a56196e54c17b42182532cee02f72726bdc2c84b75dd11e506d6bf2efb"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/4KL6GYMWWL2NF62YNIMPXEUPT7/bundle.json","state_url":"https://pith.science/pith/4KL6GYMWWL2NF62YNIMPXEUPT7/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/4KL6GYMWWL2NF62YNIMPXEUPT7/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":"2026-05-30T00:49:27Z","links":{"resolver":"https://pith.science/pith/4KL6GYMWWL2NF62YNIMPXEUPT7","bundle":"https://pith.science/pith/4KL6GYMWWL2NF62YNIMPXEUPT7/bundle.json","state":"https://pith.science/pith/4KL6GYMWWL2NF62YNIMPXEUPT7/state.json","well_known_bundle":"https://pith.science/.well-known/pith/4KL6GYMWWL2NF62YNIMPXEUPT7/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:4KL6GYMWWL2NF62YNIMPXEUPT7","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":"197dd4139b5aa7c6c391f46138c0309b57df6213ef3f80853f2a8d3a40704a32","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OA","submitted_at":"2014-03-04T11:45:49Z","title_canon_sha256":"7207d48bbb986acf0464e7304f8bfc436eb7b5239ab9606fa02e34d00760c5c0"},"schema_version":"1.0","source":{"id":"1403.0747","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1403.0747","created_at":"2026-05-18T01:25:55Z"},{"alias_kind":"arxiv_version","alias_value":"1403.0747v2","created_at":"2026-05-18T01:25:55Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1403.0747","created_at":"2026-05-18T01:25:55Z"},{"alias_kind":"pith_short_12","alias_value":"4KL6GYMWWL2N","created_at":"2026-05-18T12:28:14Z"},{"alias_kind":"pith_short_16","alias_value":"4KL6GYMWWL2NF62Y","created_at":"2026-05-18T12:28:14Z"},{"alias_kind":"pith_short_8","alias_value":"4KL6GYMW","created_at":"2026-05-18T12:28:14Z"}],"graph_snapshots":[{"event_id":"sha256:65fb17a56196e54c17b42182532cee02f72726bdc2c84b75dd11e506d6bf2efb","target":"graph","created_at":"2026-05-18T01:25:55Z","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":"Simple, separable, unital, monotracial and nuclear C$^*$-algebras are shown to have finite nuclear dimension whenever they absorb the Jiang-Su algebra $\\mathcal{Z}$ tensorially. This completes the proof of the Toms-Winter conjecture in the unique trace case.","authors_text":"Stuart White, Wilhelm Winter, Yasuhiko Sato","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OA","submitted_at":"2014-03-04T11:45:49Z","title":"Nuclear dimension and Z-stability"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1403.0747","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":"sha256:40eab429a58f52f7cb144b97899d892fc9bc61fc271bf3c02a6797c4764f659b","target":"record","created_at":"2026-05-18T01:25:55Z","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":"197dd4139b5aa7c6c391f46138c0309b57df6213ef3f80853f2a8d3a40704a32","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OA","submitted_at":"2014-03-04T11:45:49Z","title_canon_sha256":"7207d48bbb986acf0464e7304f8bfc436eb7b5239ab9606fa02e34d00760c5c0"},"schema_version":"1.0","source":{"id":"1403.0747","kind":"arxiv","version":2}},"canonical_sha256":"e297e36196b2f4d2fb586a18fb928f9ffeb4ded45395a404c679db647e33eb81","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"e297e36196b2f4d2fb586a18fb928f9ffeb4ded45395a404c679db647e33eb81","first_computed_at":"2026-05-18T01:25:55.846291Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:25:55.846291Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"7IA9HEPmoOqJ3ofRHeRkp8+IvTtOBqstQlheMQ8p0DDKBWFp7tp13NfiVR1o9NlrL3kcA2v445ZZSNK8fT2SAw==","signature_status":"signed_v1","signed_at":"2026-05-18T01:25:55.846898Z","signed_message":"canonical_sha256_bytes"},"source_id":"1403.0747","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:40eab429a58f52f7cb144b97899d892fc9bc61fc271bf3c02a6797c4764f659b","sha256:65fb17a56196e54c17b42182532cee02f72726bdc2c84b75dd11e506d6bf2efb"],"state_sha256":"cd92ed135c8b02076299c067714e65fcaeb0f412b941387e038eed4e371ecde6"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Alb8I/HWIix3zUvhniDjNKTTYag2hKiYIxj2o6wJ2VhFItVs1CenM2QQnke+Lq9T/kr7yUUY8ImSv9wSSAPjCA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-30T00:49:27.301539Z","bundle_sha256":"17fb5872efb79abaa0064a001fb0b2e61d86b5ef32e8b7263c9f52be63312f10"}}