{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2015:WZCOZYWJELVXQQLFQ2CY2HY7JV","short_pith_number":"pith:WZCOZYWJ","canonical_record":{"source":{"id":"1510.09189","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OA","submitted_at":"2015-10-30T18:37:04Z","cross_cats_sorted":[],"title_canon_sha256":"1664c382323a64962d71885a28e19973b6e97ac07517bb2621d827342abe2a7e","abstract_canon_sha256":"6c98f1fef7a18b2f77f9e4f101c2075824644a89cec952c92fa00f144a32c2da"},"schema_version":"1.0"},"canonical_sha256":"b644ece2c922eb78416586858d1f1f4d6c024c6731737f7836fafaef95cb931d","source":{"kind":"arxiv","id":"1510.09189","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1510.09189","created_at":"2026-05-18T01:28:22Z"},{"alias_kind":"arxiv_version","alias_value":"1510.09189v1","created_at":"2026-05-18T01:28:22Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1510.09189","created_at":"2026-05-18T01:28:22Z"},{"alias_kind":"pith_short_12","alias_value":"WZCOZYWJELVX","created_at":"2026-05-18T12:29:47Z"},{"alias_kind":"pith_short_16","alias_value":"WZCOZYWJELVXQQLF","created_at":"2026-05-18T12:29:47Z"},{"alias_kind":"pith_short_8","alias_value":"WZCOZYWJ","created_at":"2026-05-18T12:29:47Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2015:WZCOZYWJELVXQQLFQ2CY2HY7JV","target":"record","payload":{"canonical_record":{"source":{"id":"1510.09189","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OA","submitted_at":"2015-10-30T18:37:04Z","cross_cats_sorted":[],"title_canon_sha256":"1664c382323a64962d71885a28e19973b6e97ac07517bb2621d827342abe2a7e","abstract_canon_sha256":"6c98f1fef7a18b2f77f9e4f101c2075824644a89cec952c92fa00f144a32c2da"},"schema_version":"1.0"},"canonical_sha256":"b644ece2c922eb78416586858d1f1f4d6c024c6731737f7836fafaef95cb931d","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:28:22.399124Z","signature_b64":"tkF3UTtn8CgrePti0WBXBV5izewNZQwDjlFd+lD7NHxa4pTk+eqXdu4tOo/yOew4EsoSEHzpn+VA6eu6p7ZmAA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"b644ece2c922eb78416586858d1f1f4d6c024c6731737f7836fafaef95cb931d","last_reissued_at":"2026-05-18T01:28:22.398303Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:28:22.398303Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1510.09189","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":"2026-05-18T01:28:22Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"apDPri2OpKO18apC0LzmMh8emNS4t1FIOnyZEaE3M5yTFoCXdTXJTLbi/JP8KYfGQGjJv5+qnyBeCAchDnXvDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-26T19:29:25.586083Z"},"content_sha256":"8801e3f7ec166780dd00c53d0ac22e992febdeabc13dd6bf3005c75769ab21c2","schema_version":"1.0","event_id":"sha256:8801e3f7ec166780dd00c53d0ac22e992febdeabc13dd6bf3005c75769ab21c2"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2015:WZCOZYWJELVXQQLFQ2CY2HY7JV","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Boundaries, Bundles and Trace Algebras","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.OA","authors_text":"Baruch Solel, Erin Griesenauer, Paul S. Muhly","submitted_at":"2015-10-30T18:37:04Z","abstract_excerpt":"We describe how noncommutative function algebras built from noncommutative functions in the sense of \\cite{K-VV2014} may be studied as subalgebras of homogeneous $C^{*}$-algebras."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1510.09189","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":"2026-05-18T01:28:22Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"INE5eTSnTImUVUEbmiUW+RXNkV9cTGwxIGDfywr0HK9QPJfGmiG1CS9vtBtq6IQdsEWAHGyISA2MRZ3jj6kfAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-26T19:29:25.586435Z"},"content_sha256":"96e0b955f0aa127e1706de0e3cb1a2ec51d06695a8d8133f770052a00c084106","schema_version":"1.0","event_id":"sha256:96e0b955f0aa127e1706de0e3cb1a2ec51d06695a8d8133f770052a00c084106"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/WZCOZYWJELVXQQLFQ2CY2HY7JV/bundle.json","state_url":"https://pith.science/pith/WZCOZYWJELVXQQLFQ2CY2HY7JV/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/WZCOZYWJELVXQQLFQ2CY2HY7JV/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":"2026-06-26T19:29:25Z","links":{"resolver":"https://pith.science/pith/WZCOZYWJELVXQQLFQ2CY2HY7JV","bundle":"https://pith.science/pith/WZCOZYWJELVXQQLFQ2CY2HY7JV/bundle.json","state":"https://pith.science/pith/WZCOZYWJELVXQQLFQ2CY2HY7JV/state.json","well_known_bundle":"https://pith.science/.well-known/pith/WZCOZYWJELVXQQLFQ2CY2HY7JV/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:WZCOZYWJELVXQQLFQ2CY2HY7JV","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":"6c98f1fef7a18b2f77f9e4f101c2075824644a89cec952c92fa00f144a32c2da","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OA","submitted_at":"2015-10-30T18:37:04Z","title_canon_sha256":"1664c382323a64962d71885a28e19973b6e97ac07517bb2621d827342abe2a7e"},"schema_version":"1.0","source":{"id":"1510.09189","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1510.09189","created_at":"2026-05-18T01:28:22Z"},{"alias_kind":"arxiv_version","alias_value":"1510.09189v1","created_at":"2026-05-18T01:28:22Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1510.09189","created_at":"2026-05-18T01:28:22Z"},{"alias_kind":"pith_short_12","alias_value":"WZCOZYWJELVX","created_at":"2026-05-18T12:29:47Z"},{"alias_kind":"pith_short_16","alias_value":"WZCOZYWJELVXQQLF","created_at":"2026-05-18T12:29:47Z"},{"alias_kind":"pith_short_8","alias_value":"WZCOZYWJ","created_at":"2026-05-18T12:29:47Z"}],"graph_snapshots":[{"event_id":"sha256:96e0b955f0aa127e1706de0e3cb1a2ec51d06695a8d8133f770052a00c084106","target":"graph","created_at":"2026-05-18T01:28:22Z","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 describe how noncommutative function algebras built from noncommutative functions in the sense of \\cite{K-VV2014} may be studied as subalgebras of homogeneous $C^{*}$-algebras.","authors_text":"Baruch Solel, Erin Griesenauer, Paul S. Muhly","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OA","submitted_at":"2015-10-30T18:37:04Z","title":"Boundaries, Bundles and Trace Algebras"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1510.09189","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":"sha256:8801e3f7ec166780dd00c53d0ac22e992febdeabc13dd6bf3005c75769ab21c2","target":"record","created_at":"2026-05-18T01:28:22Z","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":"6c98f1fef7a18b2f77f9e4f101c2075824644a89cec952c92fa00f144a32c2da","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OA","submitted_at":"2015-10-30T18:37:04Z","title_canon_sha256":"1664c382323a64962d71885a28e19973b6e97ac07517bb2621d827342abe2a7e"},"schema_version":"1.0","source":{"id":"1510.09189","kind":"arxiv","version":1}},"canonical_sha256":"b644ece2c922eb78416586858d1f1f4d6c024c6731737f7836fafaef95cb931d","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"b644ece2c922eb78416586858d1f1f4d6c024c6731737f7836fafaef95cb931d","first_computed_at":"2026-05-18T01:28:22.398303Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:28:22.398303Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"tkF3UTtn8CgrePti0WBXBV5izewNZQwDjlFd+lD7NHxa4pTk+eqXdu4tOo/yOew4EsoSEHzpn+VA6eu6p7ZmAA==","signature_status":"signed_v1","signed_at":"2026-05-18T01:28:22.399124Z","signed_message":"canonical_sha256_bytes"},"source_id":"1510.09189","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:8801e3f7ec166780dd00c53d0ac22e992febdeabc13dd6bf3005c75769ab21c2","sha256:96e0b955f0aa127e1706de0e3cb1a2ec51d06695a8d8133f770052a00c084106"],"state_sha256":"a2b14040910870ba9ea1963810c5db9e27b247836576a9981e2e7acf483f989b"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"55n+viyWQhCzDEqNEdE1UMTr2Kfdxm1KCYWhoKWhUuyx95CX8PUA9nSYBdhKcppSizP8VHr/lW//oGH1Uaw4Cw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-26T19:29:25.588277Z","bundle_sha256":"5ae6026c5a805b4eb45497c16902fb2d7f28377ab3e0681a97942dab02ebe957"}}