{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2014:OSECNKC6QDFDBHYAW6CA4J4VQO","short_pith_number":"pith:OSECNKC6","canonical_record":{"source":{"id":"1410.2982","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2014-10-11T10:56:53Z","cross_cats_sorted":[],"title_canon_sha256":"d51715a251df05697299a11266bdfae22eae188cdb701fcf16e620067efa4690","abstract_canon_sha256":"fc50dfe28b6fda276b5ce832ce7703a9cb6d654f3b3ecf81688e864c2c69ceed"},"schema_version":"1.0"},"canonical_sha256":"748826a85e80ca309f00b7840e27958383fe4910b70d4edfa41d39be290a86ca","source":{"kind":"arxiv","id":"1410.2982","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1410.2982","created_at":"2026-05-18T01:41:49Z"},{"alias_kind":"arxiv_version","alias_value":"1410.2982v1","created_at":"2026-05-18T01:41:49Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1410.2982","created_at":"2026-05-18T01:41:49Z"},{"alias_kind":"pith_short_12","alias_value":"OSECNKC6QDFD","created_at":"2026-05-18T12:28:43Z"},{"alias_kind":"pith_short_16","alias_value":"OSECNKC6QDFDBHYA","created_at":"2026-05-18T12:28:43Z"},{"alias_kind":"pith_short_8","alias_value":"OSECNKC6","created_at":"2026-05-18T12:28:43Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2014:OSECNKC6QDFDBHYAW6CA4J4VQO","target":"record","payload":{"canonical_record":{"source":{"id":"1410.2982","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2014-10-11T10:56:53Z","cross_cats_sorted":[],"title_canon_sha256":"d51715a251df05697299a11266bdfae22eae188cdb701fcf16e620067efa4690","abstract_canon_sha256":"fc50dfe28b6fda276b5ce832ce7703a9cb6d654f3b3ecf81688e864c2c69ceed"},"schema_version":"1.0"},"canonical_sha256":"748826a85e80ca309f00b7840e27958383fe4910b70d4edfa41d39be290a86ca","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:41:49.100752Z","signature_b64":"g6ywAesbEaEoK0x+ZfAn6izG/U2b5s2tYZaCRhqgWox+Fc+2Ibu8ekYCObnpYXOQJu90vHWwmB0MsfXFRBTTBQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"748826a85e80ca309f00b7840e27958383fe4910b70d4edfa41d39be290a86ca","last_reissued_at":"2026-05-18T01:41:49.100267Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:41:49.100267Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1410.2982","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":"2026-05-18T01:41:49Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"HDZVRvMbgDK/LsuGURnHhgBN5g6no+p0nQxyfxf3l4iRubAOkaBlsH8L7ckQt8ZRU8ll/vaHlHhCcKrM37bSCg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-25T15:03:14.074827Z"},"content_sha256":"4b8680c95c29f850ac02e5280aa7a370a2f6f7abcf4f9a3ef525cf103a96db37","schema_version":"1.0","event_id":"sha256:4b8680c95c29f850ac02e5280aa7a370a2f6f7abcf4f9a3ef525cf103a96db37"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2014:OSECNKC6QDFDBHYAW6CA4J4VQO","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Entropic and information inequality for nonlinearly transformed two-qubit X-states","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"quant-ph","authors_text":"R.S. Puzko, V.I. Man'ko","submitted_at":"2014-10-11T10:56:53Z","abstract_excerpt":"The entropic and information inequalities for two qubit X-states transformed by the nonlinear channels are given in explicit form. The subadditivity condition and nonnegativity of von Neumann quantum information are studied for both initial X-state and the state after action of the nonlinear channel. Partial case of Werner state is considered in detail. We shown that the von Neumann information increases due to action of the nonlinear channel. We generalize the results obtained for Werner state in our earlier article [J. Russ. Laser Res., \\textbf{35}, iss. 3 (2014)] to the case of X-state of t"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1410.2982","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":"2026-05-18T01:41:49Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"/LAE6VYqhu5MsoaFBEjMQ1IoIUiKfq1KRbRe0f0FuteD58DiQPN9FBLxhTFfT1lWeDnr9GzL0s9qf7UFHmmaCw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-25T15:03:14.075571Z"},"content_sha256":"11cc10d9e2373dc899081369f4771dca0ffca9fcbe7fd51b86ea187aed2117ce","schema_version":"1.0","event_id":"sha256:11cc10d9e2373dc899081369f4771dca0ffca9fcbe7fd51b86ea187aed2117ce"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/OSECNKC6QDFDBHYAW6CA4J4VQO/bundle.json","state_url":"https://pith.science/pith/OSECNKC6QDFDBHYAW6CA4J4VQO/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/OSECNKC6QDFDBHYAW6CA4J4VQO/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":"2026-05-25T15:03:14Z","links":{"resolver":"https://pith.science/pith/OSECNKC6QDFDBHYAW6CA4J4VQO","bundle":"https://pith.science/pith/OSECNKC6QDFDBHYAW6CA4J4VQO/bundle.json","state":"https://pith.science/pith/OSECNKC6QDFDBHYAW6CA4J4VQO/state.json","well_known_bundle":"https://pith.science/.well-known/pith/OSECNKC6QDFDBHYAW6CA4J4VQO/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:OSECNKC6QDFDBHYAW6CA4J4VQO","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":"fc50dfe28b6fda276b5ce832ce7703a9cb6d654f3b3ecf81688e864c2c69ceed","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2014-10-11T10:56:53Z","title_canon_sha256":"d51715a251df05697299a11266bdfae22eae188cdb701fcf16e620067efa4690"},"schema_version":"1.0","source":{"id":"1410.2982","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1410.2982","created_at":"2026-05-18T01:41:49Z"},{"alias_kind":"arxiv_version","alias_value":"1410.2982v1","created_at":"2026-05-18T01:41:49Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1410.2982","created_at":"2026-05-18T01:41:49Z"},{"alias_kind":"pith_short_12","alias_value":"OSECNKC6QDFD","created_at":"2026-05-18T12:28:43Z"},{"alias_kind":"pith_short_16","alias_value":"OSECNKC6QDFDBHYA","created_at":"2026-05-18T12:28:43Z"},{"alias_kind":"pith_short_8","alias_value":"OSECNKC6","created_at":"2026-05-18T12:28:43Z"}],"graph_snapshots":[{"event_id":"sha256:11cc10d9e2373dc899081369f4771dca0ffca9fcbe7fd51b86ea187aed2117ce","target":"graph","created_at":"2026-05-18T01:41:49Z","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":"The entropic and information inequalities for two qubit X-states transformed by the nonlinear channels are given in explicit form. The subadditivity condition and nonnegativity of von Neumann quantum information are studied for both initial X-state and the state after action of the nonlinear channel. Partial case of Werner state is considered in detail. We shown that the von Neumann information increases due to action of the nonlinear channel. We generalize the results obtained for Werner state in our earlier article [J. Russ. Laser Res., \\textbf{35}, iss. 3 (2014)] to the case of X-state of t","authors_text":"R.S. Puzko, V.I. Man'ko","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2014-10-11T10:56:53Z","title":"Entropic and information inequality for nonlinearly transformed two-qubit X-states"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1410.2982","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":"sha256:4b8680c95c29f850ac02e5280aa7a370a2f6f7abcf4f9a3ef525cf103a96db37","target":"record","created_at":"2026-05-18T01:41:49Z","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":"fc50dfe28b6fda276b5ce832ce7703a9cb6d654f3b3ecf81688e864c2c69ceed","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2014-10-11T10:56:53Z","title_canon_sha256":"d51715a251df05697299a11266bdfae22eae188cdb701fcf16e620067efa4690"},"schema_version":"1.0","source":{"id":"1410.2982","kind":"arxiv","version":1}},"canonical_sha256":"748826a85e80ca309f00b7840e27958383fe4910b70d4edfa41d39be290a86ca","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"748826a85e80ca309f00b7840e27958383fe4910b70d4edfa41d39be290a86ca","first_computed_at":"2026-05-18T01:41:49.100267Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:41:49.100267Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"g6ywAesbEaEoK0x+ZfAn6izG/U2b5s2tYZaCRhqgWox+Fc+2Ibu8ekYCObnpYXOQJu90vHWwmB0MsfXFRBTTBQ==","signature_status":"signed_v1","signed_at":"2026-05-18T01:41:49.100752Z","signed_message":"canonical_sha256_bytes"},"source_id":"1410.2982","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:4b8680c95c29f850ac02e5280aa7a370a2f6f7abcf4f9a3ef525cf103a96db37","sha256:11cc10d9e2373dc899081369f4771dca0ffca9fcbe7fd51b86ea187aed2117ce"],"state_sha256":"1799c48a5daffc982d81328ba79fe579e2c8a07fa0e62030cc9cdb88e7a735f8"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"XYRSTXglQ1ssbFkom3QYqy7F9vwSo3qR0ffIMwlYdF8bLAniupk5z7WHC112pMkL3eZigs01/jLD7lTKxt0xAQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-25T15:03:14.079611Z","bundle_sha256":"66bcd4d0f43fc26cf1a569446ad61c6cccbe5b84c7b2972fc205e4aed9092c54"}}