{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2008:KCSXX4U5VQF5Q5X25S3JA65PNV","short_pith_number":"pith:KCSXX4U5","canonical_record":{"source":{"id":"0806.2699","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2008-06-17T03:54:10Z","cross_cats_sorted":[],"title_canon_sha256":"adfd495fa55b38812181190841ae56f664c6e66f2980bde448b48ca741f20a04","abstract_canon_sha256":"6411200ea9adbfa85a496065e67d23d2aed5a5c1f54249265fbd7039c23eb30e"},"schema_version":"1.0"},"canonical_sha256":"50a57bf29dac0bd876faecb6907baf6d6e4aeb521307e7b7fc1fa1397a810626","source":{"kind":"arxiv","id":"0806.2699","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0806.2699","created_at":"2026-05-18T03:24:42Z"},{"alias_kind":"arxiv_version","alias_value":"0806.2699v3","created_at":"2026-05-18T03:24:42Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0806.2699","created_at":"2026-05-18T03:24:42Z"},{"alias_kind":"pith_short_12","alias_value":"KCSXX4U5VQF5","created_at":"2026-05-18T12:25:57Z"},{"alias_kind":"pith_short_16","alias_value":"KCSXX4U5VQF5Q5X2","created_at":"2026-05-18T12:25:57Z"},{"alias_kind":"pith_short_8","alias_value":"KCSXX4U5","created_at":"2026-05-18T12:25:57Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2008:KCSXX4U5VQF5Q5X25S3JA65PNV","target":"record","payload":{"canonical_record":{"source":{"id":"0806.2699","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2008-06-17T03:54:10Z","cross_cats_sorted":[],"title_canon_sha256":"adfd495fa55b38812181190841ae56f664c6e66f2980bde448b48ca741f20a04","abstract_canon_sha256":"6411200ea9adbfa85a496065e67d23d2aed5a5c1f54249265fbd7039c23eb30e"},"schema_version":"1.0"},"canonical_sha256":"50a57bf29dac0bd876faecb6907baf6d6e4aeb521307e7b7fc1fa1397a810626","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:24:42.911365Z","signature_b64":"PWP9RF5u0Iw3EYtYsGeYkD8BgUcO+8CPTO9RMKV/fMRJNCV3Sp3FjAEk2yma9+HMKG+pUqGEwWBTzCCd9j+1Bw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"50a57bf29dac0bd876faecb6907baf6d6e4aeb521307e7b7fc1fa1397a810626","last_reissued_at":"2026-05-18T03:24:42.910396Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:24:42.910396Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"0806.2699","source_version":3,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T03:24:42Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"prrU36zTOBWgRL/2OfkYeeUBU/toFeI84DrgaDwLN9CFVmxnjggfdQus1CbUoUcOqovYMYOB4NZa4ONEGIjtCw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-06T16:59:35.933685Z"},"content_sha256":"51ac0dc34be01f75be52c95fd2213f61b3ed25596d258e0a7d38d5abaeea9c19","schema_version":"1.0","event_id":"sha256:51ac0dc34be01f75be52c95fd2213f61b3ed25596d258e0a7d38d5abaeea9c19"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2008:KCSXX4U5VQF5Q5X25S3JA65PNV","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Optimal positive-operator-valued measures for unambiguous state discrimination","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"quant-ph","authors_text":"Boris F. Samsonov","submitted_at":"2008-06-17T03:54:10Z","abstract_excerpt":"Optimization of the mean efficiency for unambiguous (or error free)discrimination among $N$ given linearly independent nonorthogonal states should be realized in a way to keep the probabilistic quantum mechanical interpretation. This imposes a condition on a certain matrix to be positive semidefinite. We reformulated this condition in such a way that the conditioned optimization problem for the mean efficiency was reduced to finding an unconditioned maximum of a function defined on a unit $N$-sphere for equiprobable states and on an $N$-ellipsoid if the states are given with different probabil"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0806.2699","kind":"arxiv","version":3},"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":"2026-05-18T03:24:42Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"dT7lvIw3K2XVMq2hf7/UEliQgm/3RKodNVS5/9dl/AhGfbs2q85HVmThY3mYYzGLOVXreEADy3H/ahYuDnc8CA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-06T16:59:35.934346Z"},"content_sha256":"7bbab31514609f4ee76a06eccfc6d1b1a0c97ab7f5aa1abf87908ca0f4b59fbd","schema_version":"1.0","event_id":"sha256:7bbab31514609f4ee76a06eccfc6d1b1a0c97ab7f5aa1abf87908ca0f4b59fbd"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/KCSXX4U5VQF5Q5X25S3JA65PNV/bundle.json","state_url":"https://pith.science/pith/KCSXX4U5VQF5Q5X25S3JA65PNV/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/KCSXX4U5VQF5Q5X25S3JA65PNV/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":"2026-06-06T16:59:35Z","links":{"resolver":"https://pith.science/pith/KCSXX4U5VQF5Q5X25S3JA65PNV","bundle":"https://pith.science/pith/KCSXX4U5VQF5Q5X25S3JA65PNV/bundle.json","state":"https://pith.science/pith/KCSXX4U5VQF5Q5X25S3JA65PNV/state.json","well_known_bundle":"https://pith.science/.well-known/pith/KCSXX4U5VQF5Q5X25S3JA65PNV/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2008:KCSXX4U5VQF5Q5X25S3JA65PNV","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":"6411200ea9adbfa85a496065e67d23d2aed5a5c1f54249265fbd7039c23eb30e","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2008-06-17T03:54:10Z","title_canon_sha256":"adfd495fa55b38812181190841ae56f664c6e66f2980bde448b48ca741f20a04"},"schema_version":"1.0","source":{"id":"0806.2699","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0806.2699","created_at":"2026-05-18T03:24:42Z"},{"alias_kind":"arxiv_version","alias_value":"0806.2699v3","created_at":"2026-05-18T03:24:42Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0806.2699","created_at":"2026-05-18T03:24:42Z"},{"alias_kind":"pith_short_12","alias_value":"KCSXX4U5VQF5","created_at":"2026-05-18T12:25:57Z"},{"alias_kind":"pith_short_16","alias_value":"KCSXX4U5VQF5Q5X2","created_at":"2026-05-18T12:25:57Z"},{"alias_kind":"pith_short_8","alias_value":"KCSXX4U5","created_at":"2026-05-18T12:25:57Z"}],"graph_snapshots":[{"event_id":"sha256:7bbab31514609f4ee76a06eccfc6d1b1a0c97ab7f5aa1abf87908ca0f4b59fbd","target":"graph","created_at":"2026-05-18T03:24:42Z","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":"Optimization of the mean efficiency for unambiguous (or error free)discrimination among $N$ given linearly independent nonorthogonal states should be realized in a way to keep the probabilistic quantum mechanical interpretation. This imposes a condition on a certain matrix to be positive semidefinite. We reformulated this condition in such a way that the conditioned optimization problem for the mean efficiency was reduced to finding an unconditioned maximum of a function defined on a unit $N$-sphere for equiprobable states and on an $N$-ellipsoid if the states are given with different probabil","authors_text":"Boris F. Samsonov","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2008-06-17T03:54:10Z","title":"Optimal positive-operator-valued measures for unambiguous state discrimination"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0806.2699","kind":"arxiv","version":3},"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":"sha256:51ac0dc34be01f75be52c95fd2213f61b3ed25596d258e0a7d38d5abaeea9c19","target":"record","created_at":"2026-05-18T03:24:42Z","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":"6411200ea9adbfa85a496065e67d23d2aed5a5c1f54249265fbd7039c23eb30e","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2008-06-17T03:54:10Z","title_canon_sha256":"adfd495fa55b38812181190841ae56f664c6e66f2980bde448b48ca741f20a04"},"schema_version":"1.0","source":{"id":"0806.2699","kind":"arxiv","version":3}},"canonical_sha256":"50a57bf29dac0bd876faecb6907baf6d6e4aeb521307e7b7fc1fa1397a810626","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"50a57bf29dac0bd876faecb6907baf6d6e4aeb521307e7b7fc1fa1397a810626","first_computed_at":"2026-05-18T03:24:42.910396Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:24:42.910396Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"PWP9RF5u0Iw3EYtYsGeYkD8BgUcO+8CPTO9RMKV/fMRJNCV3Sp3FjAEk2yma9+HMKG+pUqGEwWBTzCCd9j+1Bw==","signature_status":"signed_v1","signed_at":"2026-05-18T03:24:42.911365Z","signed_message":"canonical_sha256_bytes"},"source_id":"0806.2699","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:51ac0dc34be01f75be52c95fd2213f61b3ed25596d258e0a7d38d5abaeea9c19","sha256:7bbab31514609f4ee76a06eccfc6d1b1a0c97ab7f5aa1abf87908ca0f4b59fbd"],"state_sha256":"915c2fe2125df85fa5120ca83bca7a97c9b3ea69ea6c7999fba7c7b6335082e2"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"DXrHKOCPhoxJjaSAdb2P52VNdljpDtoMaHRIvBiaQCiTYEvRbzCNM9S5g6l+n2DJ0FD0ViUBdv6nDiXAXkBrCw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-06T16:59:35.937619Z","bundle_sha256":"5c5931be79a7691d43ff9d7250fb281f5d97e1f75a26c68139d93eaad765199f"}}