{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2013:GQF3DZ4VK3IGQHY6CVD4255QVS","short_pith_number":"pith:GQF3DZ4V","canonical_record":{"source":{"id":"1301.5030","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OA","submitted_at":"2013-01-21T22:22:41Z","cross_cats_sorted":["math.LO"],"title_canon_sha256":"7e96a066b79f8ee64ea3a57859d0db0464faf1db6002fb26fd94490efd23cdb7","abstract_canon_sha256":"b3090f41459a9d2dd325cdf0be9f7811676477456e7dfd68dce91b0c77f43969"},"schema_version":"1.0"},"canonical_sha256":"340bb1e79556d0681f1e1547cd77b0aca5270a4c344f4bdc246c6e1104812676","source":{"kind":"arxiv","id":"1301.5030","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1301.5030","created_at":"2026-05-18T01:23:12Z"},{"alias_kind":"arxiv_version","alias_value":"1301.5030v1","created_at":"2026-05-18T01:23:12Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1301.5030","created_at":"2026-05-18T01:23:12Z"},{"alias_kind":"pith_short_12","alias_value":"GQF3DZ4VK3IG","created_at":"2026-05-18T12:27:45Z"},{"alias_kind":"pith_short_16","alias_value":"GQF3DZ4VK3IGQHY6","created_at":"2026-05-18T12:27:45Z"},{"alias_kind":"pith_short_8","alias_value":"GQF3DZ4V","created_at":"2026-05-18T12:27:45Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2013:GQF3DZ4VK3IGQHY6CVD4255QVS","target":"record","payload":{"canonical_record":{"source":{"id":"1301.5030","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OA","submitted_at":"2013-01-21T22:22:41Z","cross_cats_sorted":["math.LO"],"title_canon_sha256":"7e96a066b79f8ee64ea3a57859d0db0464faf1db6002fb26fd94490efd23cdb7","abstract_canon_sha256":"b3090f41459a9d2dd325cdf0be9f7811676477456e7dfd68dce91b0c77f43969"},"schema_version":"1.0"},"canonical_sha256":"340bb1e79556d0681f1e1547cd77b0aca5270a4c344f4bdc246c6e1104812676","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:23:12.759742Z","signature_b64":"xE7nI1H8Zoq9MtVfP9JOqtGiR7T0yNaqyHz4447w78qkwqUQEUtb2Ktb0jjaGThaCQncOoUUe4llJRzI4bZ3Cw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"340bb1e79556d0681f1e1547cd77b0aca5270a4c344f4bdc246c6e1104812676","last_reissued_at":"2026-05-18T01:23:12.759240Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:23:12.759240Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1301.5030","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":"2026-05-18T01:23:12Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"RMhNR6/QNLUxxna6xZU8SiLbZjp7fZDV5aifERTcFE3ISYvegu93O6uXGgUbZryrxAzA86O0BHi1IFin1AZoCg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-01T02:12:25.172501Z"},"content_sha256":"7607d3f709bc792b43779dcc22d448c7f5701f65541e13988953f24a0d5255ef","schema_version":"1.0","event_id":"sha256:7607d3f709bc792b43779dcc22d448c7f5701f65541e13988953f24a0d5255ef"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2013:GQF3DZ4VK3IGQHY6CVD4255QVS","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"A simple C*-algebra with finite nuclear dimension which is not Z-stable","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.LO"],"primary_cat":"math.OA","authors_text":"Aaron Tikuisis, Dan Hathaway, Ilijas Farah, Takeshi Katsura","submitted_at":"2013-01-21T22:22:41Z","abstract_excerpt":"We construct a simple C*-algebra with nuclear dimension zero that is not isomorphic to its tensor product with the Jiang-Su algebra Z, and a hyperfinite II_1 factor not isomorphic to its tensor product with the separable hyperfinite II_1 factor R. The proofs use a weakening of the Continuum Hypothesis."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1301.5030","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":"2026-05-18T01:23:12Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"rl6hfU+qe0DEizssLolMGw/037HVYSFxL5lgijAbMaSZ2A8FzjdZAFKEWMvrx4YZQFHPsneiIhCdeKZ6opdmDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-01T02:12:25.173136Z"},"content_sha256":"9622662086efe1a7670fa67cbda990a5fa835094514be14fb276d62e248dd4a8","schema_version":"1.0","event_id":"sha256:9622662086efe1a7670fa67cbda990a5fa835094514be14fb276d62e248dd4a8"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/GQF3DZ4VK3IGQHY6CVD4255QVS/bundle.json","state_url":"https://pith.science/pith/GQF3DZ4VK3IGQHY6CVD4255QVS/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/GQF3DZ4VK3IGQHY6CVD4255QVS/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":"2026-06-01T02:12:25Z","links":{"resolver":"https://pith.science/pith/GQF3DZ4VK3IGQHY6CVD4255QVS","bundle":"https://pith.science/pith/GQF3DZ4VK3IGQHY6CVD4255QVS/bundle.json","state":"https://pith.science/pith/GQF3DZ4VK3IGQHY6CVD4255QVS/state.json","well_known_bundle":"https://pith.science/.well-known/pith/GQF3DZ4VK3IGQHY6CVD4255QVS/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:GQF3DZ4VK3IGQHY6CVD4255QVS","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":"b3090f41459a9d2dd325cdf0be9f7811676477456e7dfd68dce91b0c77f43969","cross_cats_sorted":["math.LO"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OA","submitted_at":"2013-01-21T22:22:41Z","title_canon_sha256":"7e96a066b79f8ee64ea3a57859d0db0464faf1db6002fb26fd94490efd23cdb7"},"schema_version":"1.0","source":{"id":"1301.5030","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1301.5030","created_at":"2026-05-18T01:23:12Z"},{"alias_kind":"arxiv_version","alias_value":"1301.5030v1","created_at":"2026-05-18T01:23:12Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1301.5030","created_at":"2026-05-18T01:23:12Z"},{"alias_kind":"pith_short_12","alias_value":"GQF3DZ4VK3IG","created_at":"2026-05-18T12:27:45Z"},{"alias_kind":"pith_short_16","alias_value":"GQF3DZ4VK3IGQHY6","created_at":"2026-05-18T12:27:45Z"},{"alias_kind":"pith_short_8","alias_value":"GQF3DZ4V","created_at":"2026-05-18T12:27:45Z"}],"graph_snapshots":[{"event_id":"sha256:9622662086efe1a7670fa67cbda990a5fa835094514be14fb276d62e248dd4a8","target":"graph","created_at":"2026-05-18T01:23:12Z","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 construct a simple C*-algebra with nuclear dimension zero that is not isomorphic to its tensor product with the Jiang-Su algebra Z, and a hyperfinite II_1 factor not isomorphic to its tensor product with the separable hyperfinite II_1 factor R. The proofs use a weakening of the Continuum Hypothesis.","authors_text":"Aaron Tikuisis, Dan Hathaway, Ilijas Farah, Takeshi Katsura","cross_cats":["math.LO"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OA","submitted_at":"2013-01-21T22:22:41Z","title":"A simple C*-algebra with finite nuclear dimension which is not Z-stable"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1301.5030","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":"sha256:7607d3f709bc792b43779dcc22d448c7f5701f65541e13988953f24a0d5255ef","target":"record","created_at":"2026-05-18T01:23:12Z","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":"b3090f41459a9d2dd325cdf0be9f7811676477456e7dfd68dce91b0c77f43969","cross_cats_sorted":["math.LO"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OA","submitted_at":"2013-01-21T22:22:41Z","title_canon_sha256":"7e96a066b79f8ee64ea3a57859d0db0464faf1db6002fb26fd94490efd23cdb7"},"schema_version":"1.0","source":{"id":"1301.5030","kind":"arxiv","version":1}},"canonical_sha256":"340bb1e79556d0681f1e1547cd77b0aca5270a4c344f4bdc246c6e1104812676","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"340bb1e79556d0681f1e1547cd77b0aca5270a4c344f4bdc246c6e1104812676","first_computed_at":"2026-05-18T01:23:12.759240Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:23:12.759240Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"xE7nI1H8Zoq9MtVfP9JOqtGiR7T0yNaqyHz4447w78qkwqUQEUtb2Ktb0jjaGThaCQncOoUUe4llJRzI4bZ3Cw==","signature_status":"signed_v1","signed_at":"2026-05-18T01:23:12.759742Z","signed_message":"canonical_sha256_bytes"},"source_id":"1301.5030","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:7607d3f709bc792b43779dcc22d448c7f5701f65541e13988953f24a0d5255ef","sha256:9622662086efe1a7670fa67cbda990a5fa835094514be14fb276d62e248dd4a8"],"state_sha256":"24b307b808f371bbd2302bdd11c69c30d7b390bb772c34087ec38197bbf5d104"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"1f3djZM+scGvrJkuQ/Eq2HZWwfmZOFZ/FsBiXKpqQQFn8fLqImpVlTPQ2C6mfj7elWHa5uKpyBOuaGdfL7QHDQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-01T02:12:25.176462Z","bundle_sha256":"c5748d2a71d8709572e2ddfd2b595377f9fc69197afc18040e160f8b72595285"}}