{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2004:76V4ETDQTA42Z3ZU76WNE3VZ72","short_pith_number":"pith:76V4ETDQ","canonical_record":{"source":{"id":"quant-ph/0405123","kind":"arxiv","version":2},"metadata":{"license":"","primary_cat":"quant-ph","submitted_at":"2004-05-21T09:01:17Z","cross_cats_sorted":[],"title_canon_sha256":"014c01ada94b068310db8ecd8c6945ba5810e79fcb0f42b9ab43cf89ee968f78","abstract_canon_sha256":"b89b468040b38d24b5eaf2cec9e70ab4383bb738b6b7803066d3a67ff87872dd"},"schema_version":"1.0"},"canonical_sha256":"ffabc24c709839acef34ffacd26eb9fe98da8f14abd22a0658f2bcaee669a38f","source":{"kind":"arxiv","id":"quant-ph/0405123","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"quant-ph/0405123","created_at":"2026-05-18T00:06:53Z"},{"alias_kind":"arxiv_version","alias_value":"quant-ph/0405123v2","created_at":"2026-05-18T00:06:53Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.quant-ph/0405123","created_at":"2026-05-18T00:06:53Z"},{"alias_kind":"pith_short_12","alias_value":"76V4ETDQTA42","created_at":"2026-05-18T12:25:52Z"},{"alias_kind":"pith_short_16","alias_value":"76V4ETDQTA42Z3ZU","created_at":"2026-05-18T12:25:52Z"},{"alias_kind":"pith_short_8","alias_value":"76V4ETDQ","created_at":"2026-05-18T12:25:52Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2004:76V4ETDQTA42Z3ZU76WNE3VZ72","target":"record","payload":{"canonical_record":{"source":{"id":"quant-ph/0405123","kind":"arxiv","version":2},"metadata":{"license":"","primary_cat":"quant-ph","submitted_at":"2004-05-21T09:01:17Z","cross_cats_sorted":[],"title_canon_sha256":"014c01ada94b068310db8ecd8c6945ba5810e79fcb0f42b9ab43cf89ee968f78","abstract_canon_sha256":"b89b468040b38d24b5eaf2cec9e70ab4383bb738b6b7803066d3a67ff87872dd"},"schema_version":"1.0"},"canonical_sha256":"ffabc24c709839acef34ffacd26eb9fe98da8f14abd22a0658f2bcaee669a38f","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:06:53.850648Z","signature_b64":"8n5dCp91B6FMd4xTAfLwSNiityKj5SIpx+4ClLoxzsJaCTDEmrN1gfj1VKL+0+N1ncmmq4X22J36lTV1e0TeBA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"ffabc24c709839acef34ffacd26eb9fe98da8f14abd22a0658f2bcaee669a38f","last_reissued_at":"2026-05-18T00:06:53.850104Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:06:53.850104Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"quant-ph/0405123","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T00:06:53Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"+kH8x09oUefzfPobgOZgRrJlD1Iw6pf5t6Lve6hwPdjx35QOhMgGjEyJtytxt0qv6/2HfaWi7w1lkHm6I/9DBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-01T20:22:18.865887Z"},"content_sha256":"8915c4447de2a31b2382470a7641b02237bacbce1097ec3c3ef72deb767b1ccc","schema_version":"1.0","event_id":"sha256:8915c4447de2a31b2382470a7641b02237bacbce1097ec3c3ef72deb767b1ccc"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2004:76V4ETDQTA42Z3ZU76WNE3VZ72","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Reflection Symmetries for Multiqubit Density Operators","license":"","headline":"","cross_cats":[],"primary_cat":"quant-ph","authors_text":"Claudio Altafini, Timothy F. Havel","submitted_at":"2004-05-21T09:01:17Z","abstract_excerpt":"For multiqubit density operators in a suitable tensorial basis, we show that a number of nonunitary operations used in the detection and synthesis of entanglement are classifiable as reflection symmetries, i.e., orientation changing rotations. While one-qubit reflections correspond to antiunitary symmetries, as is known for example from the partial transposition criterion, reflections on the joint density of two or more qubits are not accounted for by the Wigner Theorem and are well-posed only for sufficiently mixed states. One example of such nonlocal reflections is the unconditional NOT oper"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"quant-ph/0405123","kind":"arxiv","version":2},"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":"2026-05-18T00:06:53Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"FR6RS1scx7g8OcwJ9xmeVR5OHrHoyVVXI0/dGp5VOsTCWiPhTtvDFaU6IWtgDEaZf0O1Yvt5ZvslWgJkR6SuCg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-01T20:22:18.866232Z"},"content_sha256":"8aa6adc36d783cb135c391ec14ea93adac6689a886cbf3d3f16c116e4ef11c19","schema_version":"1.0","event_id":"sha256:8aa6adc36d783cb135c391ec14ea93adac6689a886cbf3d3f16c116e4ef11c19"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/76V4ETDQTA42Z3ZU76WNE3VZ72/bundle.json","state_url":"https://pith.science/pith/76V4ETDQTA42Z3ZU76WNE3VZ72/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/76V4ETDQTA42Z3ZU76WNE3VZ72/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":"2026-06-01T20:22:18Z","links":{"resolver":"https://pith.science/pith/76V4ETDQTA42Z3ZU76WNE3VZ72","bundle":"https://pith.science/pith/76V4ETDQTA42Z3ZU76WNE3VZ72/bundle.json","state":"https://pith.science/pith/76V4ETDQTA42Z3ZU76WNE3VZ72/state.json","well_known_bundle":"https://pith.science/.well-known/pith/76V4ETDQTA42Z3ZU76WNE3VZ72/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2004:76V4ETDQTA42Z3ZU76WNE3VZ72","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":"b89b468040b38d24b5eaf2cec9e70ab4383bb738b6b7803066d3a67ff87872dd","cross_cats_sorted":[],"license":"","primary_cat":"quant-ph","submitted_at":"2004-05-21T09:01:17Z","title_canon_sha256":"014c01ada94b068310db8ecd8c6945ba5810e79fcb0f42b9ab43cf89ee968f78"},"schema_version":"1.0","source":{"id":"quant-ph/0405123","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"quant-ph/0405123","created_at":"2026-05-18T00:06:53Z"},{"alias_kind":"arxiv_version","alias_value":"quant-ph/0405123v2","created_at":"2026-05-18T00:06:53Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.quant-ph/0405123","created_at":"2026-05-18T00:06:53Z"},{"alias_kind":"pith_short_12","alias_value":"76V4ETDQTA42","created_at":"2026-05-18T12:25:52Z"},{"alias_kind":"pith_short_16","alias_value":"76V4ETDQTA42Z3ZU","created_at":"2026-05-18T12:25:52Z"},{"alias_kind":"pith_short_8","alias_value":"76V4ETDQ","created_at":"2026-05-18T12:25:52Z"}],"graph_snapshots":[{"event_id":"sha256:8aa6adc36d783cb135c391ec14ea93adac6689a886cbf3d3f16c116e4ef11c19","target":"graph","created_at":"2026-05-18T00:06:53Z","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":"For multiqubit density operators in a suitable tensorial basis, we show that a number of nonunitary operations used in the detection and synthesis of entanglement are classifiable as reflection symmetries, i.e., orientation changing rotations. While one-qubit reflections correspond to antiunitary symmetries, as is known for example from the partial transposition criterion, reflections on the joint density of two or more qubits are not accounted for by the Wigner Theorem and are well-posed only for sufficiently mixed states. One example of such nonlocal reflections is the unconditional NOT oper","authors_text":"Claudio Altafini, Timothy F. Havel","cross_cats":[],"headline":"","license":"","primary_cat":"quant-ph","submitted_at":"2004-05-21T09:01:17Z","title":"Reflection Symmetries for Multiqubit Density Operators"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"quant-ph/0405123","kind":"arxiv","version":2},"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":"sha256:8915c4447de2a31b2382470a7641b02237bacbce1097ec3c3ef72deb767b1ccc","target":"record","created_at":"2026-05-18T00:06:53Z","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":"b89b468040b38d24b5eaf2cec9e70ab4383bb738b6b7803066d3a67ff87872dd","cross_cats_sorted":[],"license":"","primary_cat":"quant-ph","submitted_at":"2004-05-21T09:01:17Z","title_canon_sha256":"014c01ada94b068310db8ecd8c6945ba5810e79fcb0f42b9ab43cf89ee968f78"},"schema_version":"1.0","source":{"id":"quant-ph/0405123","kind":"arxiv","version":2}},"canonical_sha256":"ffabc24c709839acef34ffacd26eb9fe98da8f14abd22a0658f2bcaee669a38f","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"ffabc24c709839acef34ffacd26eb9fe98da8f14abd22a0658f2bcaee669a38f","first_computed_at":"2026-05-18T00:06:53.850104Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:06:53.850104Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"8n5dCp91B6FMd4xTAfLwSNiityKj5SIpx+4ClLoxzsJaCTDEmrN1gfj1VKL+0+N1ncmmq4X22J36lTV1e0TeBA==","signature_status":"signed_v1","signed_at":"2026-05-18T00:06:53.850648Z","signed_message":"canonical_sha256_bytes"},"source_id":"quant-ph/0405123","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:8915c4447de2a31b2382470a7641b02237bacbce1097ec3c3ef72deb767b1ccc","sha256:8aa6adc36d783cb135c391ec14ea93adac6689a886cbf3d3f16c116e4ef11c19"],"state_sha256":"4e0cf06d981e3a59a6440e0f2a3dfefa7555223736b3ebbf634ef169a0d8093e"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ERUBBxWlNHSNTV7PwEqTb2d+FyZW86MuaYpEGRnXNZZDOUCIUkn+doQYXsOb8FU8vWQt2od1ZKOIioMi5/95DQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-01T20:22:18.868186Z","bundle_sha256":"13a831e7e79c3d9549c88165a969b95c3ffac540bcdb4f775445f11401af7361"}}