{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2017:JSX6EIZJ752KDY2WSTWQZJBKIE","short_pith_number":"pith:JSX6EIZJ","canonical_record":{"source":{"id":"1705.03612","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2017-05-10T06:17:55Z","cross_cats_sorted":[],"title_canon_sha256":"72e9c949e857af29aaf32b64c5a122156f03b0c82374bbe059c6dc2ca5d115c5","abstract_canon_sha256":"92d8a71530176410b5557a746e4d1dfb70f1f40166807d7a51e7d8692b55ac53"},"schema_version":"1.0"},"canonical_sha256":"4cafe22329ff74a1e35694ed0ca42a4137b24616c60da21dc21c5a7c0cab5f0e","source":{"kind":"arxiv","id":"1705.03612","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1705.03612","created_at":"2026-05-18T00:26:57Z"},{"alias_kind":"arxiv_version","alias_value":"1705.03612v2","created_at":"2026-05-18T00:26:57Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1705.03612","created_at":"2026-05-18T00:26:57Z"},{"alias_kind":"pith_short_12","alias_value":"JSX6EIZJ752K","created_at":"2026-05-18T12:31:24Z"},{"alias_kind":"pith_short_16","alias_value":"JSX6EIZJ752KDY2W","created_at":"2026-05-18T12:31:24Z"},{"alias_kind":"pith_short_8","alias_value":"JSX6EIZJ","created_at":"2026-05-18T12:31:24Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2017:JSX6EIZJ752KDY2WSTWQZJBKIE","target":"record","payload":{"canonical_record":{"source":{"id":"1705.03612","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2017-05-10T06:17:55Z","cross_cats_sorted":[],"title_canon_sha256":"72e9c949e857af29aaf32b64c5a122156f03b0c82374bbe059c6dc2ca5d115c5","abstract_canon_sha256":"92d8a71530176410b5557a746e4d1dfb70f1f40166807d7a51e7d8692b55ac53"},"schema_version":"1.0"},"canonical_sha256":"4cafe22329ff74a1e35694ed0ca42a4137b24616c60da21dc21c5a7c0cab5f0e","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:26:57.261822Z","signature_b64":"qyalaz5XmFc5PGPT5yM2h4ngdC/c/gl876yvEGtJTcil///EP5ymDDPKKzLLSOpIiyTu0WSrkiW+ZhZpbPuZAg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"4cafe22329ff74a1e35694ed0ca42a4137b24616c60da21dc21c5a7c0cab5f0e","last_reissued_at":"2026-05-18T00:26:57.261253Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:26:57.261253Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1705.03612","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":"2026-05-18T00:26:57Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"amYwrRKmZh2R1/j6ZH18y8Xy1ClyaBwLr9hjKkvtmU1T2Shsiz0T4UgRj8PimGq0fntpd8ATrUvmRjRViSFRAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-30T13:11:24.248237Z"},"content_sha256":"7ddb8a12ac571dad4298259a6196413f93d5f81bb2d75125927fd595a10102e7","schema_version":"1.0","event_id":"sha256:7ddb8a12ac571dad4298259a6196413f93d5f81bb2d75125927fd595a10102e7"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2017:JSX6EIZJ752KDY2WSTWQZJBKIE","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Quantifying entanglement in two-mode Gaussian states","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"quant-ph","authors_text":"Spyros Tserkis, Timothy C. Ralph","submitted_at":"2017-05-10T06:17:55Z","abstract_excerpt":"Entangled two-mode Gaussian states are a key resource for quantum information technologies such as teleportation, quantum cryptography and quantum computation, so quantification of Gaussian entanglement is an important problem. Entanglement of formation is unanimously considered a proper measure of quantum correlations, but for arbitrary two-mode Gaussian states no analytical form is currently known. In contrast, logarithmic negativity is a measure straightforward to calculate and so has been adopted by most researchers, even though it is a less faithful quantifier. In this work, we derive an "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1705.03612","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":"2026-05-18T00:26:57Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"NCDdvUJ/Kiw5cHuA4+qGYLoxXzntLioL/0gBTenoda4kyGBneaSoDVpAGyl4hjtiE3wNBg1l5CKdpKgNo5RTAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-30T13:11:24.248789Z"},"content_sha256":"b0959eaf900b1e50774a64c0d9a0afb755f616efbba929ad2f72a77dee8f318a","schema_version":"1.0","event_id":"sha256:b0959eaf900b1e50774a64c0d9a0afb755f616efbba929ad2f72a77dee8f318a"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/JSX6EIZJ752KDY2WSTWQZJBKIE/bundle.json","state_url":"https://pith.science/pith/JSX6EIZJ752KDY2WSTWQZJBKIE/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/JSX6EIZJ752KDY2WSTWQZJBKIE/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":"2026-05-30T13:11:24Z","links":{"resolver":"https://pith.science/pith/JSX6EIZJ752KDY2WSTWQZJBKIE","bundle":"https://pith.science/pith/JSX6EIZJ752KDY2WSTWQZJBKIE/bundle.json","state":"https://pith.science/pith/JSX6EIZJ752KDY2WSTWQZJBKIE/state.json","well_known_bundle":"https://pith.science/.well-known/pith/JSX6EIZJ752KDY2WSTWQZJBKIE/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:JSX6EIZJ752KDY2WSTWQZJBKIE","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":"92d8a71530176410b5557a746e4d1dfb70f1f40166807d7a51e7d8692b55ac53","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2017-05-10T06:17:55Z","title_canon_sha256":"72e9c949e857af29aaf32b64c5a122156f03b0c82374bbe059c6dc2ca5d115c5"},"schema_version":"1.0","source":{"id":"1705.03612","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1705.03612","created_at":"2026-05-18T00:26:57Z"},{"alias_kind":"arxiv_version","alias_value":"1705.03612v2","created_at":"2026-05-18T00:26:57Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1705.03612","created_at":"2026-05-18T00:26:57Z"},{"alias_kind":"pith_short_12","alias_value":"JSX6EIZJ752K","created_at":"2026-05-18T12:31:24Z"},{"alias_kind":"pith_short_16","alias_value":"JSX6EIZJ752KDY2W","created_at":"2026-05-18T12:31:24Z"},{"alias_kind":"pith_short_8","alias_value":"JSX6EIZJ","created_at":"2026-05-18T12:31:24Z"}],"graph_snapshots":[{"event_id":"sha256:b0959eaf900b1e50774a64c0d9a0afb755f616efbba929ad2f72a77dee8f318a","target":"graph","created_at":"2026-05-18T00:26:57Z","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":"Entangled two-mode Gaussian states are a key resource for quantum information technologies such as teleportation, quantum cryptography and quantum computation, so quantification of Gaussian entanglement is an important problem. Entanglement of formation is unanimously considered a proper measure of quantum correlations, but for arbitrary two-mode Gaussian states no analytical form is currently known. In contrast, logarithmic negativity is a measure straightforward to calculate and so has been adopted by most researchers, even though it is a less faithful quantifier. In this work, we derive an ","authors_text":"Spyros Tserkis, Timothy C. Ralph","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2017-05-10T06:17:55Z","title":"Quantifying entanglement in two-mode Gaussian states"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1705.03612","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":"sha256:7ddb8a12ac571dad4298259a6196413f93d5f81bb2d75125927fd595a10102e7","target":"record","created_at":"2026-05-18T00:26:57Z","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":"92d8a71530176410b5557a746e4d1dfb70f1f40166807d7a51e7d8692b55ac53","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2017-05-10T06:17:55Z","title_canon_sha256":"72e9c949e857af29aaf32b64c5a122156f03b0c82374bbe059c6dc2ca5d115c5"},"schema_version":"1.0","source":{"id":"1705.03612","kind":"arxiv","version":2}},"canonical_sha256":"4cafe22329ff74a1e35694ed0ca42a4137b24616c60da21dc21c5a7c0cab5f0e","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"4cafe22329ff74a1e35694ed0ca42a4137b24616c60da21dc21c5a7c0cab5f0e","first_computed_at":"2026-05-18T00:26:57.261253Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:26:57.261253Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"qyalaz5XmFc5PGPT5yM2h4ngdC/c/gl876yvEGtJTcil///EP5ymDDPKKzLLSOpIiyTu0WSrkiW+ZhZpbPuZAg==","signature_status":"signed_v1","signed_at":"2026-05-18T00:26:57.261822Z","signed_message":"canonical_sha256_bytes"},"source_id":"1705.03612","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:7ddb8a12ac571dad4298259a6196413f93d5f81bb2d75125927fd595a10102e7","sha256:b0959eaf900b1e50774a64c0d9a0afb755f616efbba929ad2f72a77dee8f318a"],"state_sha256":"4306f45d8dad0973fb90004d4d24ccfa5f9bcbd33cc5e6c8e16e9de6032ef11d"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"WZvwHL9T4EGswjNihpAz8TxL5pivYHNBugU55ngeSu5YJMe1xKe8imz9dPW4wacQ5qMbzRRGucABAV2B1c4MBw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-30T13:11:24.252683Z","bundle_sha256":"d2e9669d83528338c7832ef867d91469cabfb04a2b5f982a937ac5aef7065b0f"}}