{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2022:NEQHTUKKRM26SCNS22ODEDE6AQ","short_pith_number":"pith:NEQHTUKK","canonical_record":{"source":{"id":"2210.17448","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2022-10-31T16:20:27Z","cross_cats_sorted":["math-ph","math.MP"],"title_canon_sha256":"4c7ea2f8f9658d6ec763577e0a9393456f7e3696f7216c1bf7a5322195cde2e1","abstract_canon_sha256":"fabf987913cbfd55892da9ca8d61af19066de49196de30b4b1136286332a9868"},"schema_version":"1.0"},"canonical_sha256":"692079d14a8b35e909b2d69c320c9e040917df2d55dba340536f2a93ad3580c8","source":{"kind":"arxiv","id":"2210.17448","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2210.17448","created_at":"2026-06-19T16:09:45Z"},{"alias_kind":"arxiv_version","alias_value":"2210.17448v2","created_at":"2026-06-19T16:09:45Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2210.17448","created_at":"2026-06-19T16:09:45Z"},{"alias_kind":"pith_short_12","alias_value":"NEQHTUKKRM26","created_at":"2026-06-19T16:09:45Z"},{"alias_kind":"pith_short_16","alias_value":"NEQHTUKKRM26SCNS","created_at":"2026-06-19T16:09:45Z"},{"alias_kind":"pith_short_8","alias_value":"NEQHTUKK","created_at":"2026-06-19T16:09:45Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2022:NEQHTUKKRM26SCNS22ODEDE6AQ","target":"record","payload":{"canonical_record":{"source":{"id":"2210.17448","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2022-10-31T16:20:27Z","cross_cats_sorted":["math-ph","math.MP"],"title_canon_sha256":"4c7ea2f8f9658d6ec763577e0a9393456f7e3696f7216c1bf7a5322195cde2e1","abstract_canon_sha256":"fabf987913cbfd55892da9ca8d61af19066de49196de30b4b1136286332a9868"},"schema_version":"1.0"},"canonical_sha256":"692079d14a8b35e909b2d69c320c9e040917df2d55dba340536f2a93ad3580c8","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-06-19T16:09:45.065979Z","signature_b64":"LiqGmHrohB9UbhOhckb17YOfgFMflNAjrDlqzaCbxOgsoJuj3LWGbIyRiDzLnIcirua+UO3FxMp0JF/apn8KAw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"692079d14a8b35e909b2d69c320c9e040917df2d55dba340536f2a93ad3580c8","last_reissued_at":"2026-06-19T16:09:45.065594Z","signature_status":"signed_v1","first_computed_at":"2026-06-19T16:09:45.065594Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2210.17448","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":"2026-06-19T16:09:45Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Nnhd2iuUF4KHSJs6FPa0r8yAUrxX/rCi2gnI2IxlP7CxJriE/+16Mfliu+3Vi8sK/IgYRvVfd5iNVXJY6zdwDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-16T21:27:50.556108Z"},"content_sha256":"b258bad93797ea1aaabc1779ffa7f8ec052f6f0e21d31f1d5bd8a51a985b1195","schema_version":"1.0","event_id":"sha256:b258bad93797ea1aaabc1779ffa7f8ec052f6f0e21d31f1d5bd8a51a985b1195"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2022:NEQHTUKKRM26SCNS22ODEDE6AQ","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Geometry of phase-covariant qubit channels","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.MP"],"primary_cat":"quant-ph","authors_text":"Katarzyna Siudzi\\'nska","submitted_at":"2022-10-31T16:20:27Z","abstract_excerpt":"We analyze the geometry on the space of non-unital phase-covariant qubit maps. Using the corresponding Choi-Jamio{\\l}kowski states, we derive the Hilbert-Schmidt line and volume elements using the channel eigenvalues together with the parameter that characterizes non-unitality. We find the shapes and analytically compute the volumes of phase-covariant channels, in particular entanglement breaking and obtainable with time-local generators."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2210.17448","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2210.17448/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":"2026-06-19T16:09:45Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"KcdfKh6BanO7kQjh+xvftskJv+u2BBmVxSsmG9F9R1wsH0MAcJ/2L9k7hxutuUuqgVG0IWf59nAg/Mx3PjnXDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-16T21:27:50.557031Z"},"content_sha256":"7a6b5613d07aed4da9c73d1ef6a5d3a92b1e985db3d72987959798e717d7f467","schema_version":"1.0","event_id":"sha256:7a6b5613d07aed4da9c73d1ef6a5d3a92b1e985db3d72987959798e717d7f467"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/NEQHTUKKRM26SCNS22ODEDE6AQ/bundle.json","state_url":"https://pith.science/pith/NEQHTUKKRM26SCNS22ODEDE6AQ/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/NEQHTUKKRM26SCNS22ODEDE6AQ/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":"2026-08-16T21:27:50Z","links":{"resolver":"https://pith.science/pith/NEQHTUKKRM26SCNS22ODEDE6AQ","bundle":"https://pith.science/pith/NEQHTUKKRM26SCNS22ODEDE6AQ/bundle.json","state":"https://pith.science/pith/NEQHTUKKRM26SCNS22ODEDE6AQ/state.json","well_known_bundle":"https://pith.science/.well-known/pith/NEQHTUKKRM26SCNS22ODEDE6AQ/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2022:NEQHTUKKRM26SCNS22ODEDE6AQ","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":"fabf987913cbfd55892da9ca8d61af19066de49196de30b4b1136286332a9868","cross_cats_sorted":["math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2022-10-31T16:20:27Z","title_canon_sha256":"4c7ea2f8f9658d6ec763577e0a9393456f7e3696f7216c1bf7a5322195cde2e1"},"schema_version":"1.0","source":{"id":"2210.17448","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2210.17448","created_at":"2026-06-19T16:09:45Z"},{"alias_kind":"arxiv_version","alias_value":"2210.17448v2","created_at":"2026-06-19T16:09:45Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2210.17448","created_at":"2026-06-19T16:09:45Z"},{"alias_kind":"pith_short_12","alias_value":"NEQHTUKKRM26","created_at":"2026-06-19T16:09:45Z"},{"alias_kind":"pith_short_16","alias_value":"NEQHTUKKRM26SCNS","created_at":"2026-06-19T16:09:45Z"},{"alias_kind":"pith_short_8","alias_value":"NEQHTUKK","created_at":"2026-06-19T16:09:45Z"}],"graph_snapshots":[{"event_id":"sha256:7a6b5613d07aed4da9c73d1ef6a5d3a92b1e985db3d72987959798e717d7f467","target":"graph","created_at":"2026-06-19T16:09:45Z","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/2210.17448/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We analyze the geometry on the space of non-unital phase-covariant qubit maps. Using the corresponding Choi-Jamio{\\l}kowski states, we derive the Hilbert-Schmidt line and volume elements using the channel eigenvalues together with the parameter that characterizes non-unitality. We find the shapes and analytically compute the volumes of phase-covariant channels, in particular entanglement breaking and obtainable with time-local generators.","authors_text":"Katarzyna Siudzi\\'nska","cross_cats":["math-ph","math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2022-10-31T16:20:27Z","title":"Geometry of phase-covariant qubit channels"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2210.17448","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:b258bad93797ea1aaabc1779ffa7f8ec052f6f0e21d31f1d5bd8a51a985b1195","target":"record","created_at":"2026-06-19T16:09:45Z","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":"fabf987913cbfd55892da9ca8d61af19066de49196de30b4b1136286332a9868","cross_cats_sorted":["math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2022-10-31T16:20:27Z","title_canon_sha256":"4c7ea2f8f9658d6ec763577e0a9393456f7e3696f7216c1bf7a5322195cde2e1"},"schema_version":"1.0","source":{"id":"2210.17448","kind":"arxiv","version":2}},"canonical_sha256":"692079d14a8b35e909b2d69c320c9e040917df2d55dba340536f2a93ad3580c8","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"692079d14a8b35e909b2d69c320c9e040917df2d55dba340536f2a93ad3580c8","first_computed_at":"2026-06-19T16:09:45.065594Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-06-19T16:09:45.065594Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"LiqGmHrohB9UbhOhckb17YOfgFMflNAjrDlqzaCbxOgsoJuj3LWGbIyRiDzLnIcirua+UO3FxMp0JF/apn8KAw==","signature_status":"signed_v1","signed_at":"2026-06-19T16:09:45.065979Z","signed_message":"canonical_sha256_bytes"},"source_id":"2210.17448","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:b258bad93797ea1aaabc1779ffa7f8ec052f6f0e21d31f1d5bd8a51a985b1195","sha256:7a6b5613d07aed4da9c73d1ef6a5d3a92b1e985db3d72987959798e717d7f467"],"state_sha256":"b76795d1fc573b50804fef874909e59576b78c25e6c5deb7c216613239cae32f"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"B+FZ195k9iWNLZVzz3bKJvgqhNhnGZBbhBCNCIn2ctmKvvu5Q6O9JQZ3iFgYm0wRlot+F+3D/Z2U7/ZqS2iBCw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-16T21:27:50.564194Z","bundle_sha256":"2f9bc835486592316c9cb59811841ecfcb8b85917891e3f7e839b77497b2772a"}}