{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2017:7HZAOBUXILIMFVQDKU5FRBZY2N","short_pith_number":"pith:7HZAOBUX","canonical_record":{"source":{"id":"1712.06801","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2017-12-19T06:38:06Z","cross_cats_sorted":[],"title_canon_sha256":"46670fd7dc2cb7db3c265da7833527d83a7b9001e0609576d781ec7b5325b06f","abstract_canon_sha256":"25f53241a52ae079920e0c90cd6e3fc57d38e7f9778e1ca78d28a7a0e7ee9dab"},"schema_version":"1.0"},"canonical_sha256":"f9f207069742d0c2d603553a588738d35aa84a5af34ba065e38d0ecca86501f7","source":{"kind":"arxiv","id":"1712.06801","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1712.06801","created_at":"2026-05-18T00:27:40Z"},{"alias_kind":"arxiv_version","alias_value":"1712.06801v1","created_at":"2026-05-18T00:27:40Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1712.06801","created_at":"2026-05-18T00:27:40Z"},{"alias_kind":"pith_short_12","alias_value":"7HZAOBUXILIM","created_at":"2026-05-18T12:31:05Z"},{"alias_kind":"pith_short_16","alias_value":"7HZAOBUXILIMFVQD","created_at":"2026-05-18T12:31:05Z"},{"alias_kind":"pith_short_8","alias_value":"7HZAOBUX","created_at":"2026-05-18T12:31:05Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2017:7HZAOBUXILIMFVQDKU5FRBZY2N","target":"record","payload":{"canonical_record":{"source":{"id":"1712.06801","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2017-12-19T06:38:06Z","cross_cats_sorted":[],"title_canon_sha256":"46670fd7dc2cb7db3c265da7833527d83a7b9001e0609576d781ec7b5325b06f","abstract_canon_sha256":"25f53241a52ae079920e0c90cd6e3fc57d38e7f9778e1ca78d28a7a0e7ee9dab"},"schema_version":"1.0"},"canonical_sha256":"f9f207069742d0c2d603553a588738d35aa84a5af34ba065e38d0ecca86501f7","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:27:40.413016Z","signature_b64":"wQIfaUFTZffj6kD9N1CQDUyfDwkvCdNfsTlokXUvlRKdb2aQi9P6u8cwB7RoMXAAAeKI7IHN2z2ecSaMFCWRCQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"f9f207069742d0c2d603553a588738d35aa84a5af34ba065e38d0ecca86501f7","last_reissued_at":"2026-05-18T00:27:40.412501Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:27:40.412501Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1712.06801","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":"2026-05-18T00:27:40Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"v68ePJhkJg2hU6R3gb2iItCAb0K1nM9Su8yG3QIpx2T+aK5PZnv8TUqlAO6X3n4wSPF5basCB1UQ6tTmhQx4Cw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-27T13:48:02.657619Z"},"content_sha256":"16e58032e8c4664f3fda548f98ef05728f6b35ae98473926620495c82ae5ffac","schema_version":"1.0","event_id":"sha256:16e58032e8c4664f3fda548f98ef05728f6b35ae98473926620495c82ae5ffac"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2017:7HZAOBUXILIMFVQDKU5FRBZY2N","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Detecting qubit entanglement : an alternative to the PPT test","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"quant-ph","authors_text":"Joseph Samuel, Kumar Shivam, Supurna Sinha","submitted_at":"2017-12-19T06:38:06Z","abstract_excerpt":"We propose a Partial Lorentz Transformation (PLT) test for detecting entanglement in a two qubit system. One can expand the density matrix of a two qubit system in terms of a tensor product of $(\\mathbb{I}, \\vec{\\sigma})$. The matrix $A$ of the coefficients that appears in such an expansion can be \"squared\" to form a $4\\times4$ matrix $B$. It can be shown that the eigenvalues $\\lambda_0, \\lambda_1, \\lambda_2, \\lambda_3$ of $B$ are positive. With the choice of $\\lambda_0$ as the dominant eigenvalue, the separable states satisfy $\\sqrt{\\lambda_1}+\\sqrt{\\lambda_2}+\\sqrt{\\lambda_3}\\leq \\sqrt{\\lamb"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1712.06801","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":"2026-05-18T00:27:40Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"WieU7iE/HJf1BufuTWUNRkm4xaVJ+x7n7pScbbtN9hz/cSU7b7tbmcgmDGsVKATW2/2ccNwgt499XMoOcYN3Cg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-27T13:48:02.658212Z"},"content_sha256":"f9022caa71ba39f5cff2eac70e1962531666123966ae161fdda327abbe5e3970","schema_version":"1.0","event_id":"sha256:f9022caa71ba39f5cff2eac70e1962531666123966ae161fdda327abbe5e3970"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/7HZAOBUXILIMFVQDKU5FRBZY2N/bundle.json","state_url":"https://pith.science/pith/7HZAOBUXILIMFVQDKU5FRBZY2N/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/7HZAOBUXILIMFVQDKU5FRBZY2N/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":"2026-05-27T13:48:02Z","links":{"resolver":"https://pith.science/pith/7HZAOBUXILIMFVQDKU5FRBZY2N","bundle":"https://pith.science/pith/7HZAOBUXILIMFVQDKU5FRBZY2N/bundle.json","state":"https://pith.science/pith/7HZAOBUXILIMFVQDKU5FRBZY2N/state.json","well_known_bundle":"https://pith.science/.well-known/pith/7HZAOBUXILIMFVQDKU5FRBZY2N/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:7HZAOBUXILIMFVQDKU5FRBZY2N","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":"25f53241a52ae079920e0c90cd6e3fc57d38e7f9778e1ca78d28a7a0e7ee9dab","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2017-12-19T06:38:06Z","title_canon_sha256":"46670fd7dc2cb7db3c265da7833527d83a7b9001e0609576d781ec7b5325b06f"},"schema_version":"1.0","source":{"id":"1712.06801","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1712.06801","created_at":"2026-05-18T00:27:40Z"},{"alias_kind":"arxiv_version","alias_value":"1712.06801v1","created_at":"2026-05-18T00:27:40Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1712.06801","created_at":"2026-05-18T00:27:40Z"},{"alias_kind":"pith_short_12","alias_value":"7HZAOBUXILIM","created_at":"2026-05-18T12:31:05Z"},{"alias_kind":"pith_short_16","alias_value":"7HZAOBUXILIMFVQD","created_at":"2026-05-18T12:31:05Z"},{"alias_kind":"pith_short_8","alias_value":"7HZAOBUX","created_at":"2026-05-18T12:31:05Z"}],"graph_snapshots":[{"event_id":"sha256:f9022caa71ba39f5cff2eac70e1962531666123966ae161fdda327abbe5e3970","target":"graph","created_at":"2026-05-18T00:27:40Z","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":"We propose a Partial Lorentz Transformation (PLT) test for detecting entanglement in a two qubit system. One can expand the density matrix of a two qubit system in terms of a tensor product of $(\\mathbb{I}, \\vec{\\sigma})$. The matrix $A$ of the coefficients that appears in such an expansion can be \"squared\" to form a $4\\times4$ matrix $B$. It can be shown that the eigenvalues $\\lambda_0, \\lambda_1, \\lambda_2, \\lambda_3$ of $B$ are positive. With the choice of $\\lambda_0$ as the dominant eigenvalue, the separable states satisfy $\\sqrt{\\lambda_1}+\\sqrt{\\lambda_2}+\\sqrt{\\lambda_3}\\leq \\sqrt{\\lamb","authors_text":"Joseph Samuel, Kumar Shivam, Supurna Sinha","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2017-12-19T06:38:06Z","title":"Detecting qubit entanglement : an alternative to the PPT test"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1712.06801","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":"sha256:16e58032e8c4664f3fda548f98ef05728f6b35ae98473926620495c82ae5ffac","target":"record","created_at":"2026-05-18T00:27:40Z","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":"25f53241a52ae079920e0c90cd6e3fc57d38e7f9778e1ca78d28a7a0e7ee9dab","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2017-12-19T06:38:06Z","title_canon_sha256":"46670fd7dc2cb7db3c265da7833527d83a7b9001e0609576d781ec7b5325b06f"},"schema_version":"1.0","source":{"id":"1712.06801","kind":"arxiv","version":1}},"canonical_sha256":"f9f207069742d0c2d603553a588738d35aa84a5af34ba065e38d0ecca86501f7","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"f9f207069742d0c2d603553a588738d35aa84a5af34ba065e38d0ecca86501f7","first_computed_at":"2026-05-18T00:27:40.412501Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:27:40.412501Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"wQIfaUFTZffj6kD9N1CQDUyfDwkvCdNfsTlokXUvlRKdb2aQi9P6u8cwB7RoMXAAAeKI7IHN2z2ecSaMFCWRCQ==","signature_status":"signed_v1","signed_at":"2026-05-18T00:27:40.413016Z","signed_message":"canonical_sha256_bytes"},"source_id":"1712.06801","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:16e58032e8c4664f3fda548f98ef05728f6b35ae98473926620495c82ae5ffac","sha256:f9022caa71ba39f5cff2eac70e1962531666123966ae161fdda327abbe5e3970"],"state_sha256":"b858e5ed4dc0d22b9f3e098d0f4a78170d74e1956705bf900dda837d6e9aa1e8"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ZInYm1uT0f7uGmsDq7o0SBRu8DcuOf1ttN8jkZlOLWnJo4noFuT3Rtt80uMrG22Xjaq+XhegzlL39qhDiof2Aw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-27T13:48:02.660633Z","bundle_sha256":"9a187d234ca539b528606a83ed519e6159b7cd499427b9bd78df7bc7b16bcc5f"}}