{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2003:Z3HIV4YI7KTHZIKQYVNZVLAJHV","short_pith_number":"pith:Z3HIV4YI","canonical_record":{"source":{"id":"quant-ph/0306135","kind":"arxiv","version":4},"metadata":{"license":"","primary_cat":"quant-ph","submitted_at":"2003-06-19T19:28:28Z","cross_cats_sorted":[],"title_canon_sha256":"d5063c428c50a59650f8b4ffc957fc3f1fec12230e4b8dbbde10b99559d2a58b","abstract_canon_sha256":"0593462fd71a246d95a81e2b7bb6fb27638d9c640162567de72e317ea419643e"},"schema_version":"1.0"},"canonical_sha256":"cece8af308faa67ca150c55b9aac093d66a13a99138ff7aaa7f6fe4034381818","source":{"kind":"arxiv","id":"quant-ph/0306135","version":4},"source_aliases":[{"alias_kind":"arxiv","alias_value":"quant-ph/0306135","created_at":"2026-07-04T14:46:20Z"},{"alias_kind":"arxiv_version","alias_value":"quant-ph/0306135v4","created_at":"2026-07-04T14:46:20Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.quant-ph/0306135","created_at":"2026-07-04T14:46:20Z"},{"alias_kind":"pith_short_12","alias_value":"Z3HIV4YI7KTH","created_at":"2026-07-04T14:46:20Z"},{"alias_kind":"pith_short_16","alias_value":"Z3HIV4YI7KTHZIKQ","created_at":"2026-07-04T14:46:20Z"},{"alias_kind":"pith_short_8","alias_value":"Z3HIV4YI","created_at":"2026-07-04T14:46:20Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2003:Z3HIV4YI7KTHZIKQYVNZVLAJHV","target":"record","payload":{"canonical_record":{"source":{"id":"quant-ph/0306135","kind":"arxiv","version":4},"metadata":{"license":"","primary_cat":"quant-ph","submitted_at":"2003-06-19T19:28:28Z","cross_cats_sorted":[],"title_canon_sha256":"d5063c428c50a59650f8b4ffc957fc3f1fec12230e4b8dbbde10b99559d2a58b","abstract_canon_sha256":"0593462fd71a246d95a81e2b7bb6fb27638d9c640162567de72e317ea419643e"},"schema_version":"1.0"},"canonical_sha256":"cece8af308faa67ca150c55b9aac093d66a13a99138ff7aaa7f6fe4034381818","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-04T14:46:20.275096Z","signature_b64":"RcxvMKFb2+MioGiHhfTHI5+mg/h+Ljx+obQQ7e7hvGbOpY42lTpZDWelpvSTWZ4wgar1HKm/SkhV8O52dp4IBA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"cece8af308faa67ca150c55b9aac093d66a13a99138ff7aaa7f6fe4034381818","last_reissued_at":"2026-07-04T14:46:20.274743Z","signature_status":"signed_v1","first_computed_at":"2026-07-04T14:46:20.274743Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"quant-ph/0306135","source_version":4,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-04T14:46:20Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"X/VP0ehP+y6q2XDYdq201Vqfk2Kk+Sk/OpJgScgfcE31Dng/hoCZ+i4R+sWaCMlWxqMJTjTeVunwI0JjKTrvAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-12T22:58:39.268621Z"},"content_sha256":"d58aa04880cfceb174910a01dacdf696f86d95445a1367df676a61b245b8e2a1","schema_version":"1.0","event_id":"sha256:d58aa04880cfceb174910a01dacdf696f86d95445a1367df676a61b245b8e2a1"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2003:Z3HIV4YI7KTHZIKQYVNZVLAJHV","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Picturing Qubits in Phase Space","license":"","headline":"","cross_cats":[],"primary_cat":"quant-ph","authors_text":"William K. Wootters","submitted_at":"2003-06-19T19:28:28Z","abstract_excerpt":"Focusing particularly on one-qubit and two-qubit systems, I explain how the quantum state of a system of n qubits can be expressed as a real function--a generalized Wigner function--on a discrete 2^n x 2^n phase space. The phase space is based on the finite field having 2^n elements, and its geometric structure leads naturally to the construction of a complete set of 2^n+1 mutually conjugate bases."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"quant-ph/0306135","kind":"arxiv","version":4},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/quant-ph/0306135/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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":"2026-07-04T14:46:20Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"S1mfdWvm1Lh0hE0A0+/gt5kIt3kuftp22JDIOrR1pbLd+xZYeMUpxDoH6ISckl6txSkE9iinr1NuazdRwrGKDg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-12T22:58:39.269112Z"},"content_sha256":"0295a257514e882e4884bcf36be54e449ff8ed9dfa6c0d5f2c19e335f0fee005","schema_version":"1.0","event_id":"sha256:0295a257514e882e4884bcf36be54e449ff8ed9dfa6c0d5f2c19e335f0fee005"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/Z3HIV4YI7KTHZIKQYVNZVLAJHV/bundle.json","state_url":"https://pith.science/pith/Z3HIV4YI7KTHZIKQYVNZVLAJHV/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/Z3HIV4YI7KTHZIKQYVNZVLAJHV/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":"2026-08-12T22:58:39Z","links":{"resolver":"https://pith.science/pith/Z3HIV4YI7KTHZIKQYVNZVLAJHV","bundle":"https://pith.science/pith/Z3HIV4YI7KTHZIKQYVNZVLAJHV/bundle.json","state":"https://pith.science/pith/Z3HIV4YI7KTHZIKQYVNZVLAJHV/state.json","well_known_bundle":"https://pith.science/.well-known/pith/Z3HIV4YI7KTHZIKQYVNZVLAJHV/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2003:Z3HIV4YI7KTHZIKQYVNZVLAJHV","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":"0593462fd71a246d95a81e2b7bb6fb27638d9c640162567de72e317ea419643e","cross_cats_sorted":[],"license":"","primary_cat":"quant-ph","submitted_at":"2003-06-19T19:28:28Z","title_canon_sha256":"d5063c428c50a59650f8b4ffc957fc3f1fec12230e4b8dbbde10b99559d2a58b"},"schema_version":"1.0","source":{"id":"quant-ph/0306135","kind":"arxiv","version":4}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"quant-ph/0306135","created_at":"2026-07-04T14:46:20Z"},{"alias_kind":"arxiv_version","alias_value":"quant-ph/0306135v4","created_at":"2026-07-04T14:46:20Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.quant-ph/0306135","created_at":"2026-07-04T14:46:20Z"},{"alias_kind":"pith_short_12","alias_value":"Z3HIV4YI7KTH","created_at":"2026-07-04T14:46:20Z"},{"alias_kind":"pith_short_16","alias_value":"Z3HIV4YI7KTHZIKQ","created_at":"2026-07-04T14:46:20Z"},{"alias_kind":"pith_short_8","alias_value":"Z3HIV4YI","created_at":"2026-07-04T14:46:20Z"}],"graph_snapshots":[{"event_id":"sha256:0295a257514e882e4884bcf36be54e449ff8ed9dfa6c0d5f2c19e335f0fee005","target":"graph","created_at":"2026-07-04T14:46:20Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/quant-ph/0306135/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Focusing particularly on one-qubit and two-qubit systems, I explain how the quantum state of a system of n qubits can be expressed as a real function--a generalized Wigner function--on a discrete 2^n x 2^n phase space. The phase space is based on the finite field having 2^n elements, and its geometric structure leads naturally to the construction of a complete set of 2^n+1 mutually conjugate bases.","authors_text":"William K. Wootters","cross_cats":[],"headline":"","license":"","primary_cat":"quant-ph","submitted_at":"2003-06-19T19:28:28Z","title":"Picturing Qubits in Phase Space"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"quant-ph/0306135","kind":"arxiv","version":4},"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:d58aa04880cfceb174910a01dacdf696f86d95445a1367df676a61b245b8e2a1","target":"record","created_at":"2026-07-04T14:46:20Z","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":"0593462fd71a246d95a81e2b7bb6fb27638d9c640162567de72e317ea419643e","cross_cats_sorted":[],"license":"","primary_cat":"quant-ph","submitted_at":"2003-06-19T19:28:28Z","title_canon_sha256":"d5063c428c50a59650f8b4ffc957fc3f1fec12230e4b8dbbde10b99559d2a58b"},"schema_version":"1.0","source":{"id":"quant-ph/0306135","kind":"arxiv","version":4}},"canonical_sha256":"cece8af308faa67ca150c55b9aac093d66a13a99138ff7aaa7f6fe4034381818","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"cece8af308faa67ca150c55b9aac093d66a13a99138ff7aaa7f6fe4034381818","first_computed_at":"2026-07-04T14:46:20.274743Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-04T14:46:20.274743Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"RcxvMKFb2+MioGiHhfTHI5+mg/h+Ljx+obQQ7e7hvGbOpY42lTpZDWelpvSTWZ4wgar1HKm/SkhV8O52dp4IBA==","signature_status":"signed_v1","signed_at":"2026-07-04T14:46:20.275096Z","signed_message":"canonical_sha256_bytes"},"source_id":"quant-ph/0306135","source_kind":"arxiv","source_version":4}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:d58aa04880cfceb174910a01dacdf696f86d95445a1367df676a61b245b8e2a1","sha256:0295a257514e882e4884bcf36be54e449ff8ed9dfa6c0d5f2c19e335f0fee005"],"state_sha256":"4393dca8d2c752dffd580a2407ceafb336feee85d9ec1a0e118ca211e7ee697a"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"oam5EjdGNie2ubk+18chAY9t5bcUZiqyI5yE8FNUWKcujMbiGGrnbVzrWGyaFcVppbGYRtmkkK1SlQLPnv1mBg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-12T22:58:39.283463Z","bundle_sha256":"e02ea6fce09c73f9fe54b99aaa7b36c09050a723751b8ceb64bf0d0f48fcf768"}}