{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2018:KEF3SLYA5WGDJ3F4WJJI4FL76R","short_pith_number":"pith:KEF3SLYA","canonical_record":{"source":{"id":"1808.00019","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2018-07-31T18:34:39Z","cross_cats_sorted":[],"title_canon_sha256":"24f98a048b04064382fff37f1d5206b29c1f74bc496cfbe21174571a91c84072","abstract_canon_sha256":"a7af591ef736e8ca75fac743a3a7d8cb18ab49b96113a11c7db82a504b70852b"},"schema_version":"1.0"},"canonical_sha256":"510bb92f00ed8c34ecbcb2528e157ff469d5d0cb8d36a886d0ad36908c3148d2","source":{"kind":"arxiv","id":"1808.00019","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1808.00019","created_at":"2026-05-18T00:09:08Z"},{"alias_kind":"arxiv_version","alias_value":"1808.00019v1","created_at":"2026-05-18T00:09:08Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1808.00019","created_at":"2026-05-18T00:09:08Z"},{"alias_kind":"pith_short_12","alias_value":"KEF3SLYA5WGD","created_at":"2026-05-18T12:32:33Z"},{"alias_kind":"pith_short_16","alias_value":"KEF3SLYA5WGDJ3F4","created_at":"2026-05-18T12:32:33Z"},{"alias_kind":"pith_short_8","alias_value":"KEF3SLYA","created_at":"2026-05-18T12:32:33Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2018:KEF3SLYA5WGDJ3F4WJJI4FL76R","target":"record","payload":{"canonical_record":{"source":{"id":"1808.00019","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2018-07-31T18:34:39Z","cross_cats_sorted":[],"title_canon_sha256":"24f98a048b04064382fff37f1d5206b29c1f74bc496cfbe21174571a91c84072","abstract_canon_sha256":"a7af591ef736e8ca75fac743a3a7d8cb18ab49b96113a11c7db82a504b70852b"},"schema_version":"1.0"},"canonical_sha256":"510bb92f00ed8c34ecbcb2528e157ff469d5d0cb8d36a886d0ad36908c3148d2","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:09:08.975188Z","signature_b64":"5xUDh+s7eCkCH2VSvNuQ/55bB+idMUANr9OnEK0eiLplYzNFxHinNCNdXqjqliWqdiunYb2aL+wPnkX3QeRLBA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"510bb92f00ed8c34ecbcb2528e157ff469d5d0cb8d36a886d0ad36908c3148d2","last_reissued_at":"2026-05-18T00:09:08.974733Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:09:08.974733Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1808.00019","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":"2026-05-18T00:09:08Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"cba6Bka+pX5RPlTjiqsErGhtAq09iuPWNZHlObqxdsGjGKjMXN2Cc0XyQsmP3pdIGr0D2u5rPo8TiD6uVmB4DQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-22T05:07:01.691469Z"},"content_sha256":"676d13c51e6329807f476aa7324b7bf63d44bd3e399dc7577905d4fff7d36e33","schema_version":"1.0","event_id":"sha256:676d13c51e6329807f476aa7324b7bf63d44bd3e399dc7577905d4fff7d36e33"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2018:KEF3SLYA5WGDJ3F4WJJI4FL76R","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Eigenvalue Determination for Mixed Quantum States using Overlap Statistics","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"quant-ph","authors_text":"David Bermudez, L\\'azaro Alonso, Thomas Gorin","submitted_at":"2018-07-31T18:34:39Z","abstract_excerpt":"We consider the statistics of overlaps between a mixed state and its image under random unitary transformations. Choosing the transformations from the unitary group with its invariant (Haar) measure, the distribution of overlaps depends only on the eigenvalues of the mixed state. This allows one to estimate these eigenvalues from the overlap statistics. In the first part of this work, we present explicit results for qutrits, including a discussion of the expected uncertainties in the eigenvalue estimation. In the second part, we assume that the set of available unitary transformations is restr"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1808.00019","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":"2026-05-18T00:09:08Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"SXIdiBjqVdOfYE3qX925/J1EOky5uXFzgi3O0dIf8HBmvxtlSiZ60+97h9w6EmLK37yny7p1ghPs6edf8lUODQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-22T05:07:01.692173Z"},"content_sha256":"8c04049df277e4bcb0f7e40900e3d685d73d486a21dd89952363ee902058bc88","schema_version":"1.0","event_id":"sha256:8c04049df277e4bcb0f7e40900e3d685d73d486a21dd89952363ee902058bc88"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/KEF3SLYA5WGDJ3F4WJJI4FL76R/bundle.json","state_url":"https://pith.science/pith/KEF3SLYA5WGDJ3F4WJJI4FL76R/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/KEF3SLYA5WGDJ3F4WJJI4FL76R/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":"2026-05-22T05:07:01Z","links":{"resolver":"https://pith.science/pith/KEF3SLYA5WGDJ3F4WJJI4FL76R","bundle":"https://pith.science/pith/KEF3SLYA5WGDJ3F4WJJI4FL76R/bundle.json","state":"https://pith.science/pith/KEF3SLYA5WGDJ3F4WJJI4FL76R/state.json","well_known_bundle":"https://pith.science/.well-known/pith/KEF3SLYA5WGDJ3F4WJJI4FL76R/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:KEF3SLYA5WGDJ3F4WJJI4FL76R","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":"a7af591ef736e8ca75fac743a3a7d8cb18ab49b96113a11c7db82a504b70852b","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2018-07-31T18:34:39Z","title_canon_sha256":"24f98a048b04064382fff37f1d5206b29c1f74bc496cfbe21174571a91c84072"},"schema_version":"1.0","source":{"id":"1808.00019","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1808.00019","created_at":"2026-05-18T00:09:08Z"},{"alias_kind":"arxiv_version","alias_value":"1808.00019v1","created_at":"2026-05-18T00:09:08Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1808.00019","created_at":"2026-05-18T00:09:08Z"},{"alias_kind":"pith_short_12","alias_value":"KEF3SLYA5WGD","created_at":"2026-05-18T12:32:33Z"},{"alias_kind":"pith_short_16","alias_value":"KEF3SLYA5WGDJ3F4","created_at":"2026-05-18T12:32:33Z"},{"alias_kind":"pith_short_8","alias_value":"KEF3SLYA","created_at":"2026-05-18T12:32:33Z"}],"graph_snapshots":[{"event_id":"sha256:8c04049df277e4bcb0f7e40900e3d685d73d486a21dd89952363ee902058bc88","target":"graph","created_at":"2026-05-18T00:09:08Z","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 consider the statistics of overlaps between a mixed state and its image under random unitary transformations. Choosing the transformations from the unitary group with its invariant (Haar) measure, the distribution of overlaps depends only on the eigenvalues of the mixed state. This allows one to estimate these eigenvalues from the overlap statistics. In the first part of this work, we present explicit results for qutrits, including a discussion of the expected uncertainties in the eigenvalue estimation. In the second part, we assume that the set of available unitary transformations is restr","authors_text":"David Bermudez, L\\'azaro Alonso, Thomas Gorin","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2018-07-31T18:34:39Z","title":"Eigenvalue Determination for Mixed Quantum States using Overlap Statistics"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1808.00019","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":"sha256:676d13c51e6329807f476aa7324b7bf63d44bd3e399dc7577905d4fff7d36e33","target":"record","created_at":"2026-05-18T00:09:08Z","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":"a7af591ef736e8ca75fac743a3a7d8cb18ab49b96113a11c7db82a504b70852b","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2018-07-31T18:34:39Z","title_canon_sha256":"24f98a048b04064382fff37f1d5206b29c1f74bc496cfbe21174571a91c84072"},"schema_version":"1.0","source":{"id":"1808.00019","kind":"arxiv","version":1}},"canonical_sha256":"510bb92f00ed8c34ecbcb2528e157ff469d5d0cb8d36a886d0ad36908c3148d2","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"510bb92f00ed8c34ecbcb2528e157ff469d5d0cb8d36a886d0ad36908c3148d2","first_computed_at":"2026-05-18T00:09:08.974733Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:09:08.974733Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"5xUDh+s7eCkCH2VSvNuQ/55bB+idMUANr9OnEK0eiLplYzNFxHinNCNdXqjqliWqdiunYb2aL+wPnkX3QeRLBA==","signature_status":"signed_v1","signed_at":"2026-05-18T00:09:08.975188Z","signed_message":"canonical_sha256_bytes"},"source_id":"1808.00019","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:676d13c51e6329807f476aa7324b7bf63d44bd3e399dc7577905d4fff7d36e33","sha256:8c04049df277e4bcb0f7e40900e3d685d73d486a21dd89952363ee902058bc88"],"state_sha256":"cf57d34b1abb6160397c41f3734a7772504189b0113caf85f76cf4a4809178ba"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"8EoNrMrf83eA3rYtp+2W5YZJU3D2bqVOltKdIquvDNeS2bTa8pYl7hXbaELq5VDaeiKUxzBfr+f0oKtTMOaTAA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-22T05:07:01.694930Z","bundle_sha256":"1269de80cb0b5229301270f74a1c06e6a5a77bae80cdc2bf76a1fb80010c35e8"}}