{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2012:6MGLQA4HJDYYTENLNRMKBXR7SH","short_pith_number":"pith:6MGLQA4H","canonical_record":{"source":{"id":"1203.5547","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2012-03-25T21:45:54Z","cross_cats_sorted":["math.MP"],"title_canon_sha256":"2e88f0f531145eecee5681b908f50644d18fbf0a5763e0f1760e8382e067c027","abstract_canon_sha256":"9b38a1834db87f2ba82ef283fed97b1868824c021d18023db31466b2533cc9b0"},"schema_version":"1.0"},"canonical_sha256":"f30cb8038748f18991ab6c58a0de3f91cb64bf6892bf670bf80bdc6de788947b","source":{"kind":"arxiv","id":"1203.5547","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1203.5547","created_at":"2026-05-18T01:58:01Z"},{"alias_kind":"arxiv_version","alias_value":"1203.5547v2","created_at":"2026-05-18T01:58:01Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1203.5547","created_at":"2026-05-18T01:58:01Z"},{"alias_kind":"pith_short_12","alias_value":"6MGLQA4HJDYY","created_at":"2026-05-18T12:26:56Z"},{"alias_kind":"pith_short_16","alias_value":"6MGLQA4HJDYYTENL","created_at":"2026-05-18T12:26:56Z"},{"alias_kind":"pith_short_8","alias_value":"6MGLQA4H","created_at":"2026-05-18T12:26:56Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2012:6MGLQA4HJDYYTENLNRMKBXR7SH","target":"record","payload":{"canonical_record":{"source":{"id":"1203.5547","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2012-03-25T21:45:54Z","cross_cats_sorted":["math.MP"],"title_canon_sha256":"2e88f0f531145eecee5681b908f50644d18fbf0a5763e0f1760e8382e067c027","abstract_canon_sha256":"9b38a1834db87f2ba82ef283fed97b1868824c021d18023db31466b2533cc9b0"},"schema_version":"1.0"},"canonical_sha256":"f30cb8038748f18991ab6c58a0de3f91cb64bf6892bf670bf80bdc6de788947b","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:58:01.998798Z","signature_b64":"wailFqb5UuN7E4ALJr0vwDFpM+hm74cCBLHT5qc+HN5taVhN6eXh33xVGXE+af9GESkxZs1aFaV59KqgkfxtDg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"f30cb8038748f18991ab6c58a0de3f91cb64bf6892bf670bf80bdc6de788947b","last_reissued_at":"2026-05-18T01:58:01.998325Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:58:01.998325Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1203.5547","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":"2026-05-18T01:58:01Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"iu46TbQ96khNSZ7xmyHBuce5eyoqSTahkfTzpJycb5VmNf92a7m2ygFgojOoLRt3a5JmjvpXHABzeE5P8hDSDg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-28T11:30:36.973215Z"},"content_sha256":"b5ae5f2ae98ad3290426e58059cf08ed81f8eb007e609e7d21eb1dd8c8fd7d6d","schema_version":"1.0","event_id":"sha256:b5ae5f2ae98ad3290426e58059cf08ed81f8eb007e609e7d21eb1dd8c8fd7d6d"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2012:6MGLQA4HJDYYTENLNRMKBXR7SH","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Physical transformations between quantum states","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.MP"],"primary_cat":"math-ph","authors_text":"Chi-Kwong Li, Edward Poon, Nung-sing Sze, Zejun Huang","submitted_at":"2012-03-25T21:45:54Z","abstract_excerpt":"Given two sets of quantum states {A_1, ..., A_k} and {B_1, ..., B_k}, represented as sets of density matrices, necessary and sufficient conditions are obtained for the existence of a physical transformation T, represented as a trace-preserving completely positive map, such that T(A_i) = B_i for i = 1, ..., k. General completely positive maps without the trace-preserving requirement, and unital completely positive maps transforming the states are also considered."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1203.5547","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":""},"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":"2026-05-18T01:58:01Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"OMnFRqfhhV3/FUEkAveq/7tESTP2ExYjtsnXck+vpG5y4Cb12fKt6oT4xMur+8M3a7sKHowGjh5TxquJgg01CA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-28T11:30:36.973575Z"},"content_sha256":"744cdc4fbd6a68ffa4fd8fd431fe4b14d1b766a2814939bd5077233f59dce983","schema_version":"1.0","event_id":"sha256:744cdc4fbd6a68ffa4fd8fd431fe4b14d1b766a2814939bd5077233f59dce983"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/6MGLQA4HJDYYTENLNRMKBXR7SH/bundle.json","state_url":"https://pith.science/pith/6MGLQA4HJDYYTENLNRMKBXR7SH/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/6MGLQA4HJDYYTENLNRMKBXR7SH/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":"2026-05-28T11:30:36Z","links":{"resolver":"https://pith.science/pith/6MGLQA4HJDYYTENLNRMKBXR7SH","bundle":"https://pith.science/pith/6MGLQA4HJDYYTENLNRMKBXR7SH/bundle.json","state":"https://pith.science/pith/6MGLQA4HJDYYTENLNRMKBXR7SH/state.json","well_known_bundle":"https://pith.science/.well-known/pith/6MGLQA4HJDYYTENLNRMKBXR7SH/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:6MGLQA4HJDYYTENLNRMKBXR7SH","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":"9b38a1834db87f2ba82ef283fed97b1868824c021d18023db31466b2533cc9b0","cross_cats_sorted":["math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2012-03-25T21:45:54Z","title_canon_sha256":"2e88f0f531145eecee5681b908f50644d18fbf0a5763e0f1760e8382e067c027"},"schema_version":"1.0","source":{"id":"1203.5547","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1203.5547","created_at":"2026-05-18T01:58:01Z"},{"alias_kind":"arxiv_version","alias_value":"1203.5547v2","created_at":"2026-05-18T01:58:01Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1203.5547","created_at":"2026-05-18T01:58:01Z"},{"alias_kind":"pith_short_12","alias_value":"6MGLQA4HJDYY","created_at":"2026-05-18T12:26:56Z"},{"alias_kind":"pith_short_16","alias_value":"6MGLQA4HJDYYTENL","created_at":"2026-05-18T12:26:56Z"},{"alias_kind":"pith_short_8","alias_value":"6MGLQA4H","created_at":"2026-05-18T12:26:56Z"}],"graph_snapshots":[{"event_id":"sha256:744cdc4fbd6a68ffa4fd8fd431fe4b14d1b766a2814939bd5077233f59dce983","target":"graph","created_at":"2026-05-18T01:58:01Z","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":"Given two sets of quantum states {A_1, ..., A_k} and {B_1, ..., B_k}, represented as sets of density matrices, necessary and sufficient conditions are obtained for the existence of a physical transformation T, represented as a trace-preserving completely positive map, such that T(A_i) = B_i for i = 1, ..., k. General completely positive maps without the trace-preserving requirement, and unital completely positive maps transforming the states are also considered.","authors_text":"Chi-Kwong Li, Edward Poon, Nung-sing Sze, Zejun Huang","cross_cats":["math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2012-03-25T21:45:54Z","title":"Physical transformations between quantum states"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1203.5547","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:b5ae5f2ae98ad3290426e58059cf08ed81f8eb007e609e7d21eb1dd8c8fd7d6d","target":"record","created_at":"2026-05-18T01:58:01Z","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":"9b38a1834db87f2ba82ef283fed97b1868824c021d18023db31466b2533cc9b0","cross_cats_sorted":["math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2012-03-25T21:45:54Z","title_canon_sha256":"2e88f0f531145eecee5681b908f50644d18fbf0a5763e0f1760e8382e067c027"},"schema_version":"1.0","source":{"id":"1203.5547","kind":"arxiv","version":2}},"canonical_sha256":"f30cb8038748f18991ab6c58a0de3f91cb64bf6892bf670bf80bdc6de788947b","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"f30cb8038748f18991ab6c58a0de3f91cb64bf6892bf670bf80bdc6de788947b","first_computed_at":"2026-05-18T01:58:01.998325Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:58:01.998325Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"wailFqb5UuN7E4ALJr0vwDFpM+hm74cCBLHT5qc+HN5taVhN6eXh33xVGXE+af9GESkxZs1aFaV59KqgkfxtDg==","signature_status":"signed_v1","signed_at":"2026-05-18T01:58:01.998798Z","signed_message":"canonical_sha256_bytes"},"source_id":"1203.5547","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:b5ae5f2ae98ad3290426e58059cf08ed81f8eb007e609e7d21eb1dd8c8fd7d6d","sha256:744cdc4fbd6a68ffa4fd8fd431fe4b14d1b766a2814939bd5077233f59dce983"],"state_sha256":"5fac90ad47ee359be5e423568d2d03f3cbb75831e97d999b3f6d34d8728d8b75"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"09/USrHAkDT3QlJJeux9NgSLfDDZKZhq4yLxCOCKz9v9+3ljvrlrdRUQLZ1iScjUh/4XXL8kwOYl4AH3qjUwCg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-28T11:30:36.975530Z","bundle_sha256":"9f2782197cffe06da71cdada63282187e2456e92926e01a6199e5f4e77e744ef"}}