{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2013:57TXTWKX25LXGRRPA2BPPZO7JV","short_pith_number":"pith:57TXTWKX","canonical_record":{"source":{"id":"1306.2526","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2013-06-11T13:58:25Z","cross_cats_sorted":["math-ph","math.MP"],"title_canon_sha256":"2b313c5cd18db2951181500fd0ce9e4e7fc67bfe7214ec87ddea868f2b43c49c","abstract_canon_sha256":"35a4f19b490832a88b43b8fde8fe43fc262d1ff162901a3be3ec94480b9cdf31"},"schema_version":"1.0"},"canonical_sha256":"efe779d957d75773462f0682f7e5df4d60c5cbe8119c747627e05c0342f16e60","source":{"kind":"arxiv","id":"1306.2526","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1306.2526","created_at":"2026-05-18T03:05:08Z"},{"alias_kind":"arxiv_version","alias_value":"1306.2526v1","created_at":"2026-05-18T03:05:08Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1306.2526","created_at":"2026-05-18T03:05:08Z"},{"alias_kind":"pith_short_12","alias_value":"57TXTWKX25LX","created_at":"2026-05-18T12:27:34Z"},{"alias_kind":"pith_short_16","alias_value":"57TXTWKX25LXGRRP","created_at":"2026-05-18T12:27:34Z"},{"alias_kind":"pith_short_8","alias_value":"57TXTWKX","created_at":"2026-05-18T12:27:34Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2013:57TXTWKX25LXGRRPA2BPPZO7JV","target":"record","payload":{"canonical_record":{"source":{"id":"1306.2526","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2013-06-11T13:58:25Z","cross_cats_sorted":["math-ph","math.MP"],"title_canon_sha256":"2b313c5cd18db2951181500fd0ce9e4e7fc67bfe7214ec87ddea868f2b43c49c","abstract_canon_sha256":"35a4f19b490832a88b43b8fde8fe43fc262d1ff162901a3be3ec94480b9cdf31"},"schema_version":"1.0"},"canonical_sha256":"efe779d957d75773462f0682f7e5df4d60c5cbe8119c747627e05c0342f16e60","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:05:08.522027Z","signature_b64":"wjqpBzUp+eNblwzDKJ5NDOI4u58ErT4B6mN9X8WCV9Ra1FIyRJqMQy3hGs5EOvLuqLo5wi1+VYIPK+2WX+FVCw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"efe779d957d75773462f0682f7e5df4d60c5cbe8119c747627e05c0342f16e60","last_reissued_at":"2026-05-18T03:05:08.521489Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:05:08.521489Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1306.2526","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":"2026-05-18T03:05:08Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"lFDH8ApBg31wGdPv+ehwZLFRYuh1ocr+QQ2w9O57Eo+BAoP3r7eK/NL6/KX1BrkhPP9EtXTuF6YwneEMEpQAAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-26T03:43:32.739605Z"},"content_sha256":"bedaaa29d44bb6fe05557e4804700f258dbd1632ace7f21293bb5c35223650d6","schema_version":"1.0","event_id":"sha256:bedaaa29d44bb6fe05557e4804700f258dbd1632ace7f21293bb5c35223650d6"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2013:57TXTWKX25LXGRRPA2BPPZO7JV","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Dynamic Distance Measures on Spaces of Isospectral Mixed Quantum States","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.MP"],"primary_cat":"quant-ph","authors_text":"Hoshang Heydari, Ole Andersson","submitted_at":"2013-06-11T13:58:25Z","abstract_excerpt":"Distance measures are indispensable tools in quantum information processing and quantum computing. This since they can be used to quantify to what extent information is preserved, or altered, by quantum processes. In this paper we propose a new distance measure for mixed quantum states, that we call the dynamic distance measure, and show that it is a proper distance measure. The dynamic distance measure is defined in terms of a measurable quantity, which make it very suitable for applications. In a final section we compare the dynamical distance measure with the well-known Bures distance."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1306.2526","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":"2026-05-18T03:05:08Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"EOKGrP7jN2unH4Aa9prj9Bw6LLck1UGRAntSaqjJR+CRhMbDYSYKTF1tLsWYRJVL0hNhzeGoDs7Zdw9pJEinBA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-26T03:43:32.740260Z"},"content_sha256":"eeb005dacc87fbe59cec2ed851134a9a81981a9e7b33eef8d474feb2cc0a64b0","schema_version":"1.0","event_id":"sha256:eeb005dacc87fbe59cec2ed851134a9a81981a9e7b33eef8d474feb2cc0a64b0"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/57TXTWKX25LXGRRPA2BPPZO7JV/bundle.json","state_url":"https://pith.science/pith/57TXTWKX25LXGRRPA2BPPZO7JV/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/57TXTWKX25LXGRRPA2BPPZO7JV/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":"2026-05-26T03:43:32Z","links":{"resolver":"https://pith.science/pith/57TXTWKX25LXGRRPA2BPPZO7JV","bundle":"https://pith.science/pith/57TXTWKX25LXGRRPA2BPPZO7JV/bundle.json","state":"https://pith.science/pith/57TXTWKX25LXGRRPA2BPPZO7JV/state.json","well_known_bundle":"https://pith.science/.well-known/pith/57TXTWKX25LXGRRPA2BPPZO7JV/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:57TXTWKX25LXGRRPA2BPPZO7JV","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":"35a4f19b490832a88b43b8fde8fe43fc262d1ff162901a3be3ec94480b9cdf31","cross_cats_sorted":["math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2013-06-11T13:58:25Z","title_canon_sha256":"2b313c5cd18db2951181500fd0ce9e4e7fc67bfe7214ec87ddea868f2b43c49c"},"schema_version":"1.0","source":{"id":"1306.2526","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1306.2526","created_at":"2026-05-18T03:05:08Z"},{"alias_kind":"arxiv_version","alias_value":"1306.2526v1","created_at":"2026-05-18T03:05:08Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1306.2526","created_at":"2026-05-18T03:05:08Z"},{"alias_kind":"pith_short_12","alias_value":"57TXTWKX25LX","created_at":"2026-05-18T12:27:34Z"},{"alias_kind":"pith_short_16","alias_value":"57TXTWKX25LXGRRP","created_at":"2026-05-18T12:27:34Z"},{"alias_kind":"pith_short_8","alias_value":"57TXTWKX","created_at":"2026-05-18T12:27:34Z"}],"graph_snapshots":[{"event_id":"sha256:eeb005dacc87fbe59cec2ed851134a9a81981a9e7b33eef8d474feb2cc0a64b0","target":"graph","created_at":"2026-05-18T03:05:08Z","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":"Distance measures are indispensable tools in quantum information processing and quantum computing. This since they can be used to quantify to what extent information is preserved, or altered, by quantum processes. In this paper we propose a new distance measure for mixed quantum states, that we call the dynamic distance measure, and show that it is a proper distance measure. The dynamic distance measure is defined in terms of a measurable quantity, which make it very suitable for applications. In a final section we compare the dynamical distance measure with the well-known Bures distance.","authors_text":"Hoshang Heydari, Ole Andersson","cross_cats":["math-ph","math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2013-06-11T13:58:25Z","title":"Dynamic Distance Measures on Spaces of Isospectral Mixed Quantum States"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1306.2526","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:bedaaa29d44bb6fe05557e4804700f258dbd1632ace7f21293bb5c35223650d6","target":"record","created_at":"2026-05-18T03:05:08Z","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":"35a4f19b490832a88b43b8fde8fe43fc262d1ff162901a3be3ec94480b9cdf31","cross_cats_sorted":["math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2013-06-11T13:58:25Z","title_canon_sha256":"2b313c5cd18db2951181500fd0ce9e4e7fc67bfe7214ec87ddea868f2b43c49c"},"schema_version":"1.0","source":{"id":"1306.2526","kind":"arxiv","version":1}},"canonical_sha256":"efe779d957d75773462f0682f7e5df4d60c5cbe8119c747627e05c0342f16e60","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"efe779d957d75773462f0682f7e5df4d60c5cbe8119c747627e05c0342f16e60","first_computed_at":"2026-05-18T03:05:08.521489Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:05:08.521489Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"wjqpBzUp+eNblwzDKJ5NDOI4u58ErT4B6mN9X8WCV9Ra1FIyRJqMQy3hGs5EOvLuqLo5wi1+VYIPK+2WX+FVCw==","signature_status":"signed_v1","signed_at":"2026-05-18T03:05:08.522027Z","signed_message":"canonical_sha256_bytes"},"source_id":"1306.2526","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:bedaaa29d44bb6fe05557e4804700f258dbd1632ace7f21293bb5c35223650d6","sha256:eeb005dacc87fbe59cec2ed851134a9a81981a9e7b33eef8d474feb2cc0a64b0"],"state_sha256":"9951443117b9c50f140edf471e9e010017b4fa648612cbd58a160005cd298f7d"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"8TPHYNvku34xQb+KHN9EQbBINObwl9yyhlD59GDGZ5KxKphjaGmvKJgAPJA5JXR4xlgd/gbUd8WIsPJ4gwX+DA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-26T03:43:32.743619Z","bundle_sha256":"588d882dc1c55ae99875cea15b18bb9a51a093cde649d61190f323a179a77143"}}