{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2014:NRSTTD3L3PUXZW7234SBSOE3N6","short_pith_number":"pith:NRSTTD3L","canonical_record":{"source":{"id":"1402.3197","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.KT","submitted_at":"2014-02-13T16:20:36Z","cross_cats_sorted":["math.FA","math.OA"],"title_canon_sha256":"0dea268a49939b417feea0e5d328b4f17882ccc852704afd35c614929040724c","abstract_canon_sha256":"27fae0f87ecbc3751fe8855b5600ca6ef08f9730ac9ab05dae93bcfdc4915312"},"schema_version":"1.0"},"canonical_sha256":"6c65398f6bdbe97cdbfadf2419389b6fbcee6956a14742524e8fb04b1077e0ed","source":{"kind":"arxiv","id":"1402.3197","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1402.3197","created_at":"2026-05-18T02:59:07Z"},{"alias_kind":"arxiv_version","alias_value":"1402.3197v1","created_at":"2026-05-18T02:59:07Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1402.3197","created_at":"2026-05-18T02:59:07Z"},{"alias_kind":"pith_short_12","alias_value":"NRSTTD3L3PUX","created_at":"2026-05-18T12:28:41Z"},{"alias_kind":"pith_short_16","alias_value":"NRSTTD3L3PUXZW72","created_at":"2026-05-18T12:28:41Z"},{"alias_kind":"pith_short_8","alias_value":"NRSTTD3L","created_at":"2026-05-18T12:28:41Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2014:NRSTTD3L3PUXZW7234SBSOE3N6","target":"record","payload":{"canonical_record":{"source":{"id":"1402.3197","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.KT","submitted_at":"2014-02-13T16:20:36Z","cross_cats_sorted":["math.FA","math.OA"],"title_canon_sha256":"0dea268a49939b417feea0e5d328b4f17882ccc852704afd35c614929040724c","abstract_canon_sha256":"27fae0f87ecbc3751fe8855b5600ca6ef08f9730ac9ab05dae93bcfdc4915312"},"schema_version":"1.0"},"canonical_sha256":"6c65398f6bdbe97cdbfadf2419389b6fbcee6956a14742524e8fb04b1077e0ed","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:59:07.309497Z","signature_b64":"nL60TtsGSO7/XFN6yZ1lbD9GLDowWfEqgSeG5l3KjtMrSvpjCTdQ8Xd8xDGj6/9ERFQAq9//5lg09KDZpv7QBg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"6c65398f6bdbe97cdbfadf2419389b6fbcee6956a14742524e8fb04b1077e0ed","last_reissued_at":"2026-05-18T02:59:07.308722Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:59:07.308722Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1402.3197","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":"2026-05-18T02:59:07Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"qosYOiuVD96X+tkJL1aUieUjsjRisUNAvYQY7kdzNrfznaAuLw+m3NQfejVBRUagWQJCGIPTu3ZB0CkdXhmbBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-05T13:23:26.814970Z"},"content_sha256":"c8f2ade7baa5457f6ef2abfca75693549b703ac8b50ccd53eb87dfaac3718fe5","schema_version":"1.0","event_id":"sha256:c8f2ade7baa5457f6ef2abfca75693549b703ac8b50ccd53eb87dfaac3718fe5"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2014:NRSTTD3L3PUXZW7234SBSOE3N6","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Algebraic K-theory and properly infinite C*-algebras","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.FA","math.OA"],"primary_cat":"math.KT","authors_text":"Guillermo Corti\\~nas, N. Christopher Phillips","submitted_at":"2014-02-13T16:20:36Z","abstract_excerpt":"We show that several known results about the algebraic K-theory of tensor products of algebras with the C*-algebra of compact operators in Hilbert space remain valid for tensor products with any properly infinite C*-algebra."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1402.3197","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":"2026-05-18T02:59:07Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"O5hh5B/k5Og6RMSYA58PdwhMbf2e99bIgaG+/44tOOzLvmojfN8cjX6g7rstCc4t5WTfd/daRZZiaoLcs0j1BQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-05T13:23:26.815309Z"},"content_sha256":"6bfd4aba6d269ce931d7d8e2a08d66a711c4b83e08532aa218f8cb5b189ec437","schema_version":"1.0","event_id":"sha256:6bfd4aba6d269ce931d7d8e2a08d66a711c4b83e08532aa218f8cb5b189ec437"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/NRSTTD3L3PUXZW7234SBSOE3N6/bundle.json","state_url":"https://pith.science/pith/NRSTTD3L3PUXZW7234SBSOE3N6/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/NRSTTD3L3PUXZW7234SBSOE3N6/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":"2026-06-05T13:23:26Z","links":{"resolver":"https://pith.science/pith/NRSTTD3L3PUXZW7234SBSOE3N6","bundle":"https://pith.science/pith/NRSTTD3L3PUXZW7234SBSOE3N6/bundle.json","state":"https://pith.science/pith/NRSTTD3L3PUXZW7234SBSOE3N6/state.json","well_known_bundle":"https://pith.science/.well-known/pith/NRSTTD3L3PUXZW7234SBSOE3N6/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:NRSTTD3L3PUXZW7234SBSOE3N6","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":"27fae0f87ecbc3751fe8855b5600ca6ef08f9730ac9ab05dae93bcfdc4915312","cross_cats_sorted":["math.FA","math.OA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.KT","submitted_at":"2014-02-13T16:20:36Z","title_canon_sha256":"0dea268a49939b417feea0e5d328b4f17882ccc852704afd35c614929040724c"},"schema_version":"1.0","source":{"id":"1402.3197","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1402.3197","created_at":"2026-05-18T02:59:07Z"},{"alias_kind":"arxiv_version","alias_value":"1402.3197v1","created_at":"2026-05-18T02:59:07Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1402.3197","created_at":"2026-05-18T02:59:07Z"},{"alias_kind":"pith_short_12","alias_value":"NRSTTD3L3PUX","created_at":"2026-05-18T12:28:41Z"},{"alias_kind":"pith_short_16","alias_value":"NRSTTD3L3PUXZW72","created_at":"2026-05-18T12:28:41Z"},{"alias_kind":"pith_short_8","alias_value":"NRSTTD3L","created_at":"2026-05-18T12:28:41Z"}],"graph_snapshots":[{"event_id":"sha256:6bfd4aba6d269ce931d7d8e2a08d66a711c4b83e08532aa218f8cb5b189ec437","target":"graph","created_at":"2026-05-18T02:59:07Z","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 several known results about the algebraic K-theory of tensor products of algebras with the C*-algebra of compact operators in Hilbert space remain valid for tensor products with any properly infinite C*-algebra.","authors_text":"Guillermo Corti\\~nas, N. Christopher Phillips","cross_cats":["math.FA","math.OA"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.KT","submitted_at":"2014-02-13T16:20:36Z","title":"Algebraic K-theory and properly infinite C*-algebras"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1402.3197","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:c8f2ade7baa5457f6ef2abfca75693549b703ac8b50ccd53eb87dfaac3718fe5","target":"record","created_at":"2026-05-18T02:59:07Z","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":"27fae0f87ecbc3751fe8855b5600ca6ef08f9730ac9ab05dae93bcfdc4915312","cross_cats_sorted":["math.FA","math.OA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.KT","submitted_at":"2014-02-13T16:20:36Z","title_canon_sha256":"0dea268a49939b417feea0e5d328b4f17882ccc852704afd35c614929040724c"},"schema_version":"1.0","source":{"id":"1402.3197","kind":"arxiv","version":1}},"canonical_sha256":"6c65398f6bdbe97cdbfadf2419389b6fbcee6956a14742524e8fb04b1077e0ed","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"6c65398f6bdbe97cdbfadf2419389b6fbcee6956a14742524e8fb04b1077e0ed","first_computed_at":"2026-05-18T02:59:07.308722Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:59:07.308722Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"nL60TtsGSO7/XFN6yZ1lbD9GLDowWfEqgSeG5l3KjtMrSvpjCTdQ8Xd8xDGj6/9ERFQAq9//5lg09KDZpv7QBg==","signature_status":"signed_v1","signed_at":"2026-05-18T02:59:07.309497Z","signed_message":"canonical_sha256_bytes"},"source_id":"1402.3197","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:c8f2ade7baa5457f6ef2abfca75693549b703ac8b50ccd53eb87dfaac3718fe5","sha256:6bfd4aba6d269ce931d7d8e2a08d66a711c4b83e08532aa218f8cb5b189ec437"],"state_sha256":"00f52879b66e1afdb6ae1f661103ebe72aa0d871e7ad6a8e368382d67418d69c"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Xw8nL3jW0ZiYM6OlYTe+V2stpdW1HiHWmglc4bseNBJlAZBoaVAL8L8RJV1da4YRByzC1Eky8p9JKKSjwaRqCg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-05T13:23:26.817216Z","bundle_sha256":"f7836ad5db482608f37e853e7536527cda56253df93c39abfe37dbf4ff696352"}}