{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2014:E3ECQQ6PBCYMZXR2QGL3EPBACU","short_pith_number":"pith:E3ECQQ6P","schema_version":"1.0","canonical_sha256":"26c82843cf08b0ccde3a8197b23c20150e845b1d74edc054bab02a0ce2183eb2","source":{"kind":"arxiv","id":"1410.6883","version":3},"attestation_state":"computed","paper":{"title":"Relating the Bures measure to the Cauchy two-matrix model","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.MP","math.PR","quant-ph"],"primary_cat":"math-ph","authors_text":"Mario Kieburg, Peter J. Forrester","submitted_at":"2014-10-25T04:30:04Z","abstract_excerpt":"The Bures metric is a natural choice in measuring the distance of density operators representing states in quantum mechanics. In the past few years a random matrix ensemble and the corresponding joint probability density function of its eigenvalues was identified. Moreover a relation with the Cauchy two-matrix model was discovered but never thoroughly investigated, leaving open in particular the following question: How are the kernels of the Pfaffian point process of the Bures random matrix ensemble related to the ones of the determinantal point process of the Cauchy two-matrix model and moreo"},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"1410.6883","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2014-10-25T04:30:04Z","cross_cats_sorted":["math.MP","math.PR","quant-ph"],"title_canon_sha256":"9bd1cea23aa4b05529fb05fd203788cd853f84d081f8d8dbdc9c7689b0d4f3a9","abstract_canon_sha256":"63db70268d07dddf85360e7116e17744b59682bd8d62e8ff73662c129efc1808"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:51:58.481662Z","signature_b64":"zoCLOBlbuxmEPNSDDiWYbQjt7rohIj049l6eLmScsc37snVxBNz58O4h/twhGk1VT8lNDlcJ/n7IRIL0ruiTCg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"26c82843cf08b0ccde3a8197b23c20150e845b1d74edc054bab02a0ce2183eb2","last_reissued_at":"2026-05-18T00:51:58.481119Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:51:58.481119Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Relating the Bures measure to the Cauchy two-matrix model","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.MP","math.PR","quant-ph"],"primary_cat":"math-ph","authors_text":"Mario Kieburg, Peter J. Forrester","submitted_at":"2014-10-25T04:30:04Z","abstract_excerpt":"The Bures metric is a natural choice in measuring the distance of density operators representing states in quantum mechanics. In the past few years a random matrix ensemble and the corresponding joint probability density function of its eigenvalues was identified. Moreover a relation with the Cauchy two-matrix model was discovered but never thoroughly investigated, leaving open in particular the following question: How are the kernels of the Pfaffian point process of the Bures random matrix ensemble related to the ones of the determinantal point process of the Cauchy two-matrix model and moreo"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1410.6883","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"},"aliases":[{"alias_kind":"arxiv","alias_value":"1410.6883","created_at":"2026-05-18T00:51:58.481206+00:00"},{"alias_kind":"arxiv_version","alias_value":"1410.6883v3","created_at":"2026-05-18T00:51:58.481206+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1410.6883","created_at":"2026-05-18T00:51:58.481206+00:00"},{"alias_kind":"pith_short_12","alias_value":"E3ECQQ6PBCYM","created_at":"2026-05-18T12:28:25.294606+00:00"},{"alias_kind":"pith_short_16","alias_value":"E3ECQQ6PBCYMZXR2","created_at":"2026-05-18T12:28:25.294606+00:00"},{"alias_kind":"pith_short_8","alias_value":"E3ECQQ6P","created_at":"2026-05-18T12:28:25.294606+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/E3ECQQ6PBCYMZXR2QGL3EPBACU","json":"https://pith.science/pith/E3ECQQ6PBCYMZXR2QGL3EPBACU.json","graph_json":"https://pith.science/api/pith-number/E3ECQQ6PBCYMZXR2QGL3EPBACU/graph.json","events_json":"https://pith.science/api/pith-number/E3ECQQ6PBCYMZXR2QGL3EPBACU/events.json","paper":"https://pith.science/paper/E3ECQQ6P"},"agent_actions":{"view_html":"https://pith.science/pith/E3ECQQ6PBCYMZXR2QGL3EPBACU","download_json":"https://pith.science/pith/E3ECQQ6PBCYMZXR2QGL3EPBACU.json","view_paper":"https://pith.science/paper/E3ECQQ6P","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1410.6883&json=true","fetch_graph":"https://pith.science/api/pith-number/E3ECQQ6PBCYMZXR2QGL3EPBACU/graph.json","fetch_events":"https://pith.science/api/pith-number/E3ECQQ6PBCYMZXR2QGL3EPBACU/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/E3ECQQ6PBCYMZXR2QGL3EPBACU/action/timestamp_anchor","attest_storage":"https://pith.science/pith/E3ECQQ6PBCYMZXR2QGL3EPBACU/action/storage_attestation","attest_author":"https://pith.science/pith/E3ECQQ6PBCYMZXR2QGL3EPBACU/action/author_attestation","sign_citation":"https://pith.science/pith/E3ECQQ6PBCYMZXR2QGL3EPBACU/action/citation_signature","submit_replication":"https://pith.science/pith/E3ECQQ6PBCYMZXR2QGL3EPBACU/action/replication_record"}},"created_at":"2026-05-18T00:51:58.481206+00:00","updated_at":"2026-05-18T00:51:58.481206+00:00"}