{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2008:TUZ2H3776XNT4MNWPG62LLG2MF","short_pith_number":"pith:TUZ2H377","schema_version":"1.0","canonical_sha256":"9d33a3effff5db3e31b679bda5acda617c2a4f53c94a01f647bababdf373a53e","source":{"kind":"arxiv","id":"0808.1658","version":1},"attestation_state":"computed","paper":{"title":"Entanglement of Formation for Gaussian States","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"quant-ph","authors_text":"J. Solomon Ivan, R. Simon","submitted_at":"2008-08-12T13:13:11Z","abstract_excerpt":"The entanglement of formation (EOF) is computed for arbitrary two-mode Gaussian states. Apart from a conjecture, our analysis rests on two main ingredients. The first is a four-parameter canonical form we develop for the covariance matrix, one of these parameters acting as a measure of EOF, and the second is a generalisation of the EPR correlation, used in the work of Giedke {\\em et al} [Phys. Rev. Lett. {\\bf 91}, 107901 (2003)], to noncommuting variables. The conjecture itself is in respect of an extremal property of this generalized EPR correlation."},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"0808.1658","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2008-08-12T13:13:11Z","cross_cats_sorted":[],"title_canon_sha256":"390236288aeddfcfd70ca4ca65f9a4507ee4192fe9a917519ce8ed7b4adb526b","abstract_canon_sha256":"3eb9eb9e06845e79b15761cb2f2cd1926606fa628c46acbc45cd432afd4e56fe"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-04T15:13:34.573975Z","signature_b64":"WPpCa1RkcNHQPG08six2IUxkd9NyuzhBDKWOJYxGw8jn7oUwHrhfsjLAIDwQma967/UJWLTXVs1e+VbbmMojBw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"9d33a3effff5db3e31b679bda5acda617c2a4f53c94a01f647bababdf373a53e","last_reissued_at":"2026-07-04T15:13:34.573609Z","signature_status":"signed_v1","first_computed_at":"2026-07-04T15:13:34.573609Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Entanglement of Formation for Gaussian States","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"quant-ph","authors_text":"J. Solomon Ivan, R. Simon","submitted_at":"2008-08-12T13:13:11Z","abstract_excerpt":"The entanglement of formation (EOF) is computed for arbitrary two-mode Gaussian states. Apart from a conjecture, our analysis rests on two main ingredients. The first is a four-parameter canonical form we develop for the covariance matrix, one of these parameters acting as a measure of EOF, and the second is a generalisation of the EPR correlation, used in the work of Giedke {\\em et al} [Phys. Rev. Lett. {\\bf 91}, 107901 (2003)], to noncommuting variables. The conjecture itself is in respect of an extremal property of this generalized EPR correlation."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0808.1658","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/0808.1658/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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"},"aliases":[{"alias_kind":"arxiv","alias_value":"0808.1658","created_at":"2026-07-04T15:13:34.573671+00:00"},{"alias_kind":"arxiv_version","alias_value":"0808.1658v1","created_at":"2026-07-04T15:13:34.573671+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0808.1658","created_at":"2026-07-04T15:13:34.573671+00:00"},{"alias_kind":"pith_short_12","alias_value":"TUZ2H3776XNT","created_at":"2026-07-04T15:13:34.573671+00:00"},{"alias_kind":"pith_short_16","alias_value":"TUZ2H3776XNT4MNW","created_at":"2026-07-04T15:13:34.573671+00:00"},{"alias_kind":"pith_short_8","alias_value":"TUZ2H377","created_at":"2026-07-04T15:13:34.573671+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":1,"internal_anchor_count":1,"sample":[{"citing_arxiv_id":"2608.01909","citing_title":"Optimality of Gaussian Entanglement of Formation","ref_index":19,"is_internal_anchor":true}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/TUZ2H3776XNT4MNWPG62LLG2MF","json":"https://pith.science/pith/TUZ2H3776XNT4MNWPG62LLG2MF.json","graph_json":"https://pith.science/api/pith-number/TUZ2H3776XNT4MNWPG62LLG2MF/graph.json","events_json":"https://pith.science/api/pith-number/TUZ2H3776XNT4MNWPG62LLG2MF/events.json","paper":"https://pith.science/paper/TUZ2H377"},"agent_actions":{"view_html":"https://pith.science/pith/TUZ2H3776XNT4MNWPG62LLG2MF","download_json":"https://pith.science/pith/TUZ2H3776XNT4MNWPG62LLG2MF.json","view_paper":"https://pith.science/paper/TUZ2H377","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=0808.1658&json=true","fetch_graph":"https://pith.science/api/pith-number/TUZ2H3776XNT4MNWPG62LLG2MF/graph.json","fetch_events":"https://pith.science/api/pith-number/TUZ2H3776XNT4MNWPG62LLG2MF/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/TUZ2H3776XNT4MNWPG62LLG2MF/action/timestamp_anchor","attest_storage":"https://pith.science/pith/TUZ2H3776XNT4MNWPG62LLG2MF/action/storage_attestation","attest_author":"https://pith.science/pith/TUZ2H3776XNT4MNWPG62LLG2MF/action/author_attestation","sign_citation":"https://pith.science/pith/TUZ2H3776XNT4MNWPG62LLG2MF/action/citation_signature","submit_replication":"https://pith.science/pith/TUZ2H3776XNT4MNWPG62LLG2MF/action/replication_record"}},"created_at":"2026-07-04T15:13:34.573671+00:00","updated_at":"2026-07-04T15:13:34.573671+00:00"}