{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2026:UQDOIRW3TXOF3W323GYEPEM5B3","short_pith_number":"pith:UQDOIRW3","canonical_record":{"source":{"id":"2605.18485","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2026-05-18T14:36:56Z","cross_cats_sorted":[],"title_canon_sha256":"2e1eaaef1c73ab43d7693ffa2f0aab942151bd7ec791b81fb98c011f92ffcc2e","abstract_canon_sha256":"d5c1a772e3879fca76fcc33711a5f55dacbc341d251af07edcd1b6c734793d64"},"schema_version":"1.0"},"canonical_sha256":"a406e446db9ddc5ddb7ad9b047919d0efc1d08e06e29b7876fa22c2fa3954ac1","source":{"kind":"arxiv","id":"2605.18485","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2605.18485","created_at":"2026-05-20T00:06:03Z"},{"alias_kind":"arxiv_version","alias_value":"2605.18485v1","created_at":"2026-05-20T00:06:03Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2605.18485","created_at":"2026-05-20T00:06:03Z"},{"alias_kind":"pith_short_12","alias_value":"UQDOIRW3TXOF","created_at":"2026-05-20T00:06:03Z"},{"alias_kind":"pith_short_16","alias_value":"UQDOIRW3TXOF3W32","created_at":"2026-05-20T00:06:03Z"},{"alias_kind":"pith_short_8","alias_value":"UQDOIRW3","created_at":"2026-05-20T00:06:03Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2026:UQDOIRW3TXOF3W323GYEPEM5B3","target":"record","payload":{"canonical_record":{"source":{"id":"2605.18485","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2026-05-18T14:36:56Z","cross_cats_sorted":[],"title_canon_sha256":"2e1eaaef1c73ab43d7693ffa2f0aab942151bd7ec791b81fb98c011f92ffcc2e","abstract_canon_sha256":"d5c1a772e3879fca76fcc33711a5f55dacbc341d251af07edcd1b6c734793d64"},"schema_version":"1.0"},"canonical_sha256":"a406e446db9ddc5ddb7ad9b047919d0efc1d08e06e29b7876fa22c2fa3954ac1","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-20T00:06:03.730559Z","signature_b64":"8rWvpISw9ZSMlgA1PI7iPETpd3M06xK3FJiCdHbDcixZ+e8fQy0p1i5sIG+ZXJ15VSDiemaq062MrCLQ9RYDCQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"a406e446db9ddc5ddb7ad9b047919d0efc1d08e06e29b7876fa22c2fa3954ac1","last_reissued_at":"2026-05-20T00:06:03.729694Z","signature_status":"signed_v1","first_computed_at":"2026-05-20T00:06:03.729694Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2605.18485","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":"2026-05-20T00:06:03Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"PEX/6zfyD38VwmIQgo1Ug+/HJy2xg6cv2oiCrMydtMj6K4mBA967SDd3qXfxJcdRMeaHhAg2xLrW3VLQsi/6Dw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-31T12:53:58.914871Z"},"content_sha256":"5c33dff015051aa7a23a250c7f52460bed60fec0b60da289b7eb26d88db55c0a","schema_version":"1.0","event_id":"sha256:5c33dff015051aa7a23a250c7f52460bed60fec0b60da289b7eb26d88db55c0a"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2026:UQDOIRW3TXOF3W323GYEPEM5B3","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"A geometric Fano--Procrustes framework for purification-based distances and quantum channels analysis","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"quant-ph","authors_text":"Trist\\'an M. Os\\'an","submitted_at":"2026-05-18T14:36:56Z","abstract_excerpt":"In this work we reformulate the Uhlmann purification-overlap optimization and develop a purification-based geometric framework for the analysis of mixed qubit states and qubit channels. Using the Fano representation of two-qubit pure states, a purification is described in terms of the Bloch vector of the system, the ancilla Bloch vector, and a real correlation matrix. For a fixed one-qubit mixed state, the freedom in the choice of purification can be parametrized by proper rotations acting on the ancillary degrees of freedom. As a result, the optimization over purifications entering the defini"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2605.18485","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2605.18485/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":"2026-05-20T00:06:03Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"GbTou8VEQUtiNkMWVc0Sl4zZLU5XSNIj5tzahisXhHwdn8iWOhDqOKCcdq9OFbqk0wrRdqk/JGHH1XYyFpk6Aw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-31T12:53:58.915529Z"},"content_sha256":"55e5e8427db28780ce71de252e5898ff0dafc052d907e070c341bcf49af81f50","schema_version":"1.0","event_id":"sha256:55e5e8427db28780ce71de252e5898ff0dafc052d907e070c341bcf49af81f50"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/UQDOIRW3TXOF3W323GYEPEM5B3/bundle.json","state_url":"https://pith.science/pith/UQDOIRW3TXOF3W323GYEPEM5B3/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/UQDOIRW3TXOF3W323GYEPEM5B3/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":"2026-05-31T12:53:58Z","links":{"resolver":"https://pith.science/pith/UQDOIRW3TXOF3W323GYEPEM5B3","bundle":"https://pith.science/pith/UQDOIRW3TXOF3W323GYEPEM5B3/bundle.json","state":"https://pith.science/pith/UQDOIRW3TXOF3W323GYEPEM5B3/state.json","well_known_bundle":"https://pith.science/.well-known/pith/UQDOIRW3TXOF3W323GYEPEM5B3/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2026:UQDOIRW3TXOF3W323GYEPEM5B3","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":"d5c1a772e3879fca76fcc33711a5f55dacbc341d251af07edcd1b6c734793d64","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2026-05-18T14:36:56Z","title_canon_sha256":"2e1eaaef1c73ab43d7693ffa2f0aab942151bd7ec791b81fb98c011f92ffcc2e"},"schema_version":"1.0","source":{"id":"2605.18485","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2605.18485","created_at":"2026-05-20T00:06:03Z"},{"alias_kind":"arxiv_version","alias_value":"2605.18485v1","created_at":"2026-05-20T00:06:03Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2605.18485","created_at":"2026-05-20T00:06:03Z"},{"alias_kind":"pith_short_12","alias_value":"UQDOIRW3TXOF","created_at":"2026-05-20T00:06:03Z"},{"alias_kind":"pith_short_16","alias_value":"UQDOIRW3TXOF3W32","created_at":"2026-05-20T00:06:03Z"},{"alias_kind":"pith_short_8","alias_value":"UQDOIRW3","created_at":"2026-05-20T00:06:03Z"}],"graph_snapshots":[{"event_id":"sha256:55e5e8427db28780ce71de252e5898ff0dafc052d907e070c341bcf49af81f50","target":"graph","created_at":"2026-05-20T00:06:03Z","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/2605.18485/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"In this work we reformulate the Uhlmann purification-overlap optimization and develop a purification-based geometric framework for the analysis of mixed qubit states and qubit channels. Using the Fano representation of two-qubit pure states, a purification is described in terms of the Bloch vector of the system, the ancilla Bloch vector, and a real correlation matrix. For a fixed one-qubit mixed state, the freedom in the choice of purification can be parametrized by proper rotations acting on the ancillary degrees of freedom. As a result, the optimization over purifications entering the defini","authors_text":"Trist\\'an M. Os\\'an","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2026-05-18T14:36:56Z","title":"A geometric Fano--Procrustes framework for purification-based distances and quantum channels analysis"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2605.18485","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":"sha256:5c33dff015051aa7a23a250c7f52460bed60fec0b60da289b7eb26d88db55c0a","target":"record","created_at":"2026-05-20T00:06:03Z","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":"d5c1a772e3879fca76fcc33711a5f55dacbc341d251af07edcd1b6c734793d64","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2026-05-18T14:36:56Z","title_canon_sha256":"2e1eaaef1c73ab43d7693ffa2f0aab942151bd7ec791b81fb98c011f92ffcc2e"},"schema_version":"1.0","source":{"id":"2605.18485","kind":"arxiv","version":1}},"canonical_sha256":"a406e446db9ddc5ddb7ad9b047919d0efc1d08e06e29b7876fa22c2fa3954ac1","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"a406e446db9ddc5ddb7ad9b047919d0efc1d08e06e29b7876fa22c2fa3954ac1","first_computed_at":"2026-05-20T00:06:03.729694Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-20T00:06:03.729694Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"8rWvpISw9ZSMlgA1PI7iPETpd3M06xK3FJiCdHbDcixZ+e8fQy0p1i5sIG+ZXJ15VSDiemaq062MrCLQ9RYDCQ==","signature_status":"signed_v1","signed_at":"2026-05-20T00:06:03.730559Z","signed_message":"canonical_sha256_bytes"},"source_id":"2605.18485","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:5c33dff015051aa7a23a250c7f52460bed60fec0b60da289b7eb26d88db55c0a","sha256:55e5e8427db28780ce71de252e5898ff0dafc052d907e070c341bcf49af81f50"],"state_sha256":"b27753273801ec2c2181571fcaec2b6274c6804aab7251e6a810ea6b7aaee66e"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Gxy3DuINArqPyKEEepu5BpSRJvYaMuNW7u6S3cVKi9ECAf+Wph4X2L7/xk3Mv7Pq6xdSDEgsz/Kf1JM4errnAw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-31T12:53:58.918480Z","bundle_sha256":"271eeb10c2d131ac20ed4e313bb2d2a991ddbd5222d8c28e3791632fb464229c"}}