{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2015:RREEYFXT7QGXWIV3AVXOCTCG5C","short_pith_number":"pith:RREEYFXT","canonical_record":{"source":{"id":"1510.06649","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LO","submitted_at":"2015-10-22T14:44:25Z","cross_cats_sorted":["math.CT","math.OA"],"title_canon_sha256":"6cc9692a28e6a89d50040294b4c00b079f243fae8484ba29398bf389902e70ff","abstract_canon_sha256":"7e3e5005264e580712fda3fc311fd43ccd22f1fd6ed4cf7886208ae6acec1a0a"},"schema_version":"1.0"},"canonical_sha256":"8c484c16f3fc0d7b22bb056ee14c46e893031ba91ff7cf2ef40316028181a5ef","source":{"kind":"arxiv","id":"1510.06649","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1510.06649","created_at":"2026-05-18T01:29:30Z"},{"alias_kind":"arxiv_version","alias_value":"1510.06649v1","created_at":"2026-05-18T01:29:30Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1510.06649","created_at":"2026-05-18T01:29:30Z"},{"alias_kind":"pith_short_12","alias_value":"RREEYFXT7QGX","created_at":"2026-05-18T12:29:39Z"},{"alias_kind":"pith_short_16","alias_value":"RREEYFXT7QGXWIV3","created_at":"2026-05-18T12:29:39Z"},{"alias_kind":"pith_short_8","alias_value":"RREEYFXT","created_at":"2026-05-18T12:29:39Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2015:RREEYFXT7QGXWIV3AVXOCTCG5C","target":"record","payload":{"canonical_record":{"source":{"id":"1510.06649","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LO","submitted_at":"2015-10-22T14:44:25Z","cross_cats_sorted":["math.CT","math.OA"],"title_canon_sha256":"6cc9692a28e6a89d50040294b4c00b079f243fae8484ba29398bf389902e70ff","abstract_canon_sha256":"7e3e5005264e580712fda3fc311fd43ccd22f1fd6ed4cf7886208ae6acec1a0a"},"schema_version":"1.0"},"canonical_sha256":"8c484c16f3fc0d7b22bb056ee14c46e893031ba91ff7cf2ef40316028181a5ef","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:29:30.378332Z","signature_b64":"Y0ZjIiDaLwrLosav7+a/9RKyPw5iOrndot1hhC57sjojwp702VWdoGs0g34lym7Wn7eJ1dzwzgTDv/JnIU0VAw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"8c484c16f3fc0d7b22bb056ee14c46e893031ba91ff7cf2ef40316028181a5ef","last_reissued_at":"2026-05-18T01:29:30.377717Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:29:30.377717Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1510.06649","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":"2026-05-18T01:29:30Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"nKCr4jOJcf7hFf8f4kBu1tQv0kkvOZ49KCXZIMTpVWvebUyXa5dL15UAOYLKkI9QWLEKoLSQHXde8XYt1jpUCw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-04T10:15:24.223460Z"},"content_sha256":"ae8effeb3717b900e99bd8bf9fce6dbb1b3bfb258e9a961db2355eb75b887303","schema_version":"1.0","event_id":"sha256:ae8effeb3717b900e99bd8bf9fce6dbb1b3bfb258e9a961db2355eb75b887303"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2015:RREEYFXT7QGXWIV3AVXOCTCG5C","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Operator Algebras in Quantum Computation","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.CT","math.OA"],"primary_cat":"cs.LO","authors_text":"Mathys Rennela","submitted_at":"2015-10-22T14:44:25Z","abstract_excerpt":"In this master thesis, I discuss how the theory of operator algebras, also called operator theory, can be applied in quantum computer science."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1510.06649","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":"2026-05-18T01:29:30Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"OidD14t5KCENJUFmQhQIpsykeVsQnePC7ThOuDUtv4hIRRqNncCEWl6tf1S6sdew3KhWClzysPEeKnBBqhpVAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-04T10:15:24.223800Z"},"content_sha256":"7eb74973e0486fb2e120849fdb28bb1e92b9edb84605dff6d510ad37084d1e00","schema_version":"1.0","event_id":"sha256:7eb74973e0486fb2e120849fdb28bb1e92b9edb84605dff6d510ad37084d1e00"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/RREEYFXT7QGXWIV3AVXOCTCG5C/bundle.json","state_url":"https://pith.science/pith/RREEYFXT7QGXWIV3AVXOCTCG5C/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/RREEYFXT7QGXWIV3AVXOCTCG5C/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":"2026-07-04T10:15:24Z","links":{"resolver":"https://pith.science/pith/RREEYFXT7QGXWIV3AVXOCTCG5C","bundle":"https://pith.science/pith/RREEYFXT7QGXWIV3AVXOCTCG5C/bundle.json","state":"https://pith.science/pith/RREEYFXT7QGXWIV3AVXOCTCG5C/state.json","well_known_bundle":"https://pith.science/.well-known/pith/RREEYFXT7QGXWIV3AVXOCTCG5C/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:RREEYFXT7QGXWIV3AVXOCTCG5C","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":"7e3e5005264e580712fda3fc311fd43ccd22f1fd6ed4cf7886208ae6acec1a0a","cross_cats_sorted":["math.CT","math.OA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LO","submitted_at":"2015-10-22T14:44:25Z","title_canon_sha256":"6cc9692a28e6a89d50040294b4c00b079f243fae8484ba29398bf389902e70ff"},"schema_version":"1.0","source":{"id":"1510.06649","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1510.06649","created_at":"2026-05-18T01:29:30Z"},{"alias_kind":"arxiv_version","alias_value":"1510.06649v1","created_at":"2026-05-18T01:29:30Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1510.06649","created_at":"2026-05-18T01:29:30Z"},{"alias_kind":"pith_short_12","alias_value":"RREEYFXT7QGX","created_at":"2026-05-18T12:29:39Z"},{"alias_kind":"pith_short_16","alias_value":"RREEYFXT7QGXWIV3","created_at":"2026-05-18T12:29:39Z"},{"alias_kind":"pith_short_8","alias_value":"RREEYFXT","created_at":"2026-05-18T12:29:39Z"}],"graph_snapshots":[{"event_id":"sha256:7eb74973e0486fb2e120849fdb28bb1e92b9edb84605dff6d510ad37084d1e00","target":"graph","created_at":"2026-05-18T01:29:30Z","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":"In this master thesis, I discuss how the theory of operator algebras, also called operator theory, can be applied in quantum computer science.","authors_text":"Mathys Rennela","cross_cats":["math.CT","math.OA"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LO","submitted_at":"2015-10-22T14:44:25Z","title":"Operator Algebras in Quantum Computation"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1510.06649","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:ae8effeb3717b900e99bd8bf9fce6dbb1b3bfb258e9a961db2355eb75b887303","target":"record","created_at":"2026-05-18T01:29:30Z","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":"7e3e5005264e580712fda3fc311fd43ccd22f1fd6ed4cf7886208ae6acec1a0a","cross_cats_sorted":["math.CT","math.OA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LO","submitted_at":"2015-10-22T14:44:25Z","title_canon_sha256":"6cc9692a28e6a89d50040294b4c00b079f243fae8484ba29398bf389902e70ff"},"schema_version":"1.0","source":{"id":"1510.06649","kind":"arxiv","version":1}},"canonical_sha256":"8c484c16f3fc0d7b22bb056ee14c46e893031ba91ff7cf2ef40316028181a5ef","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"8c484c16f3fc0d7b22bb056ee14c46e893031ba91ff7cf2ef40316028181a5ef","first_computed_at":"2026-05-18T01:29:30.377717Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:29:30.377717Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Y0ZjIiDaLwrLosav7+a/9RKyPw5iOrndot1hhC57sjojwp702VWdoGs0g34lym7Wn7eJ1dzwzgTDv/JnIU0VAw==","signature_status":"signed_v1","signed_at":"2026-05-18T01:29:30.378332Z","signed_message":"canonical_sha256_bytes"},"source_id":"1510.06649","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:ae8effeb3717b900e99bd8bf9fce6dbb1b3bfb258e9a961db2355eb75b887303","sha256:7eb74973e0486fb2e120849fdb28bb1e92b9edb84605dff6d510ad37084d1e00"],"state_sha256":"93af3cb65c302f5b3bd9e9a2f5edbe0a39de487ad8d875b0941105aec6b32ede"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"CzoDnoR5f8R5pO8w40orUVTPtzyZWEA5ei86oAbHkoCJ9gsrtNbKyZ1XaO6NGuTRIafzNIA6BQZghBsdHIRuBQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-07-04T10:15:24.225795Z","bundle_sha256":"5588b9b64db57242215619bd30e10bdeeec31a8f800e01b075486e7188d0c282"}}