{"as_of":"2026-08-07T12:14:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:323b32e2e06f6d2b6bae935cc0e7f5a244101989666f73d09831ac2aa1042c9e","coverage":[{"denominator":59,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":59,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-03T17:14:22.877793Z","state":"measured"},{"denominator":64,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":64,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-07T06:34:17.273281+00:00","state":"measured"},{"denominator":5,"lane":"inbound_itemization","note":"Pith citing papers itemized under the disclosed page cap.","records_observed":5,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-03T15:12:55.682052Z","state":"measured"},{"denominator":1,"lane":"external_citation_measurements","note":"A source-named dated measurement, never combined with another source.","records_observed":0,"source":"arxiv_reference","source_observed_at":"2026-07-03T13:08:07.943804Z","state":"measured"}],"external_citation_measurements":[],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"2512.11055","last_updated":"2026-07-17T01:40:11Z","snapshot_observed_at":"2026-08-05T13:32:20.827674Z","submitted_at":"2025-12-11T19:13:00Z","title":"Correlation and Entanglement partners in Gaussian systems","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2512.11055","snapshot_observed_at":"2026-08-03T15:12:55.682052Z","title":"Agullo, E","venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2512.18410","last_updated":"2026-07-23T08:05:40Z","snapshot_observed_at":"2026-08-03T22:01:17.381421Z","submitted_at":"2025-12-20T16:18:55Z","title":"Partner-mode overlap as a symplectic-invariant measure of correlations in Gaussian quantum field theories","version":2},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-08-03T15:12:55.682052Z"},"links":{"cited_paper":"/paper/2512.11055","citing_paper":"/paper/2512.18410"},"observation_digest":"sha256:607eee57cc180402f65b54742b52546ef7e7f12af8c595f824c6ed16df0b4d0b","observation_id":"e1a8c068-5438-4d3a-8a03-562eb18c94ba","resolution":{"observed_at":"2026-08-03T15:12:55.682052Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2512.11055","last_updated":"2026-07-17T01:40:11Z","snapshot_observed_at":"2026-08-05T13:32:20.827674Z","submitted_at":"2025-12-11T19:13:00Z","title":"Correlation and Entanglement partners in Gaussian systems","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2512.11055","snapshot_observed_at":"2026-08-03T06:50:31.849535Z","title":"Agullo, E","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2601.22219","last_updated":"2026-07-27T18:16:29Z","snapshot_observed_at":"2026-08-06T07:51:06.124054Z","submitted_at":"2026-01-29T19:00:01Z","title":"When inflationary perturbations refuse to classicalise: the role of non-Gaussianity in Wigner negativity","version":3},"reference_index":63,"source":"pdf_text","source_observed_at":"2026-08-03T06:50:31.849535Z"},"links":{"cited_paper":"/paper/2512.11055","citing_paper":"/paper/2601.22219"},"observation_digest":"sha256:88210de7159570af0fcf0090654db869a6a13004fc5faa0335f4a87ddd8792ab","observation_id":"e37a6a98-bc24-4d13-af79-e78787f7fb87","resolution":{"observed_at":"2026-08-03T06:50:31.849535Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2512.11055","last_updated":"2026-07-17T01:40:11Z","snapshot_observed_at":"2026-08-05T13:32:20.827674Z","submitted_at":"2025-12-11T19:13:00Z","title":"Correlation and Entanglement partners in Gaussian systems","version":2},"cited_work":{"arxiv_id":"2512.11055","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2512.11055","snapshot_observed_at":"2026-07-20T01:18:23.823231Z","title":"Agullo, E","venue":null,"work_id":"6303e80f-6318-4d8f-847d-68379de1d3f8","year":2025},"citing_paper":{"arxiv_id":"2605.23824","last_updated":"2026-05-22T16:25:57Z","snapshot_observed_at":"2026-07-31T19:48:50.552528Z","submitted_at":"2026-05-22T16:25:57Z","title":"The negativity core of a 1+1D massless scalar quantum field","version":1},"reference_index":47,"source":"pdf_text","source_observed_at":"2026-05-25T03:57:33.473285Z"},"links":{"cited_paper":"/paper/2512.11055","citing_paper":"/paper/2605.23824"},"observation_digest":"sha256:2ba47cb79d46fb835034ce6bb79f539a6237222e9e1e2d08cc5421802b540729","observation_id":"5a5a78b3-b387-4126-9b65-872d485267d5","resolution":{"observed_at":"2026-07-20T01:18:23.823231Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2512.11055","last_updated":"2026-07-17T01:40:11Z","snapshot_observed_at":"2026-08-05T13:32:20.827674Z","submitted_at":"2025-12-11T19:13:00Z","title":"Correlation and Entanglement partners in Gaussian systems","version":2},"cited_work":{"arxiv_id":"2512.11055","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2512.11055","snapshot_observed_at":"2026-07-20T01:18:23.823231Z","title":"Agullo, E","venue":null,"work_id":"6303e80f-6318-4d8f-847d-68379de1d3f8","year":2025},"citing_paper":{"arxiv_id":"2606.12636","last_updated":"2026-06-22T16:53:45Z","snapshot_observed_at":"2026-07-06T23:51:31.502574Z","submitted_at":"2026-06-10T19:57:45Z","title":"Quantum Stochastic Inflation","version":2},"reference_index":24,"source":"pdf_text","source_observed_at":"2026-06-27T08:34:06.283341Z"},"links":{"cited_paper":"/paper/2512.11055","citing_paper":"/paper/2606.12636"},"observation_digest":"sha256:9ecc0d70af1b8490002d8b2665f3fcb7b6a23c7c332c9f234e79148de288c262","observation_id":"b05ebbc1-e864-49dd-960e-98dd1316a793","resolution":{"observed_at":"2026-07-20T01:18:23.823231Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2512.11055","last_updated":"2026-07-17T01:40:11Z","snapshot_observed_at":"2026-08-05T13:32:20.827674Z","submitted_at":"2025-12-11T19:13:00Z","title":"Correlation and Entanglement partners in Gaussian systems","version":2},"cited_work":{"arxiv_id":"2512.11055","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2512.11055","snapshot_observed_at":"2026-07-20T01:18:23.823231Z","title":"Agullo, E","venue":null,"work_id":"6303e80f-6318-4d8f-847d-68379de1d3f8","year":2025},"citing_paper":{"arxiv_id":"2606.30231","last_updated":"2026-06-29T12:44:17Z","snapshot_observed_at":"2026-08-03T02:07:11.356659Z","submitted_at":"2026-06-29T12:44:17Z","title":"Exact calculation of entanglement negativity for a 1+1D massless scalar field using phase space methods","version":1},"reference_index":31,"source":"pdf_text","source_observed_at":"2026-06-30T05:26:48.574436Z"},"links":{"cited_paper":"/paper/2512.11055","citing_paper":"/paper/2606.30231"},"observation_digest":"sha256:40bad9f171d4c3eb7644ba4f0c2821f6f836e9e084f9de1fa26db4595ce88aea","observation_id":"e2e4d4e0-abd1-4b29-b5b1-6705b39ae122","resolution":{"observed_at":"2026-07-20T01:18:23.823231Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"state":"measured"}}],"links":{"evidence":"/evidence","html":"/paper/2512.11055/citation-record","integrity":"/paper/2512.11055/integrity","json":"/paper/2512.11055/citation-record.json","paper":"/paper/2512.11055"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-03T17:14:18.199549Z","title":"system-local","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2512.11055","last_updated":"2026-07-17T01:40:11Z","snapshot_observed_at":"2026-08-05T13:32:20.827674Z","submitted_at":"2025-12-11T19:13:00Z","title":"Correlation and Entanglement partners in Gaussian systems","version":2},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-08-03T17:14:18.199549Z"},"links":{"citing_paper":"/paper/2512.11055"},"observation_digest":"sha256:828144a7b0ded688006a4dc6a4f008f3d699b63bbaeb5e51f6804fcc34edc5c4","observation_id":"c2ff8cc0-511e-4203-9687-f8d0746d776b","resolution":{"observed_at":"2026-08-03T17:14:18.199549Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-03T17:14:18.305040Z","title":"classical-like","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2512.11055","last_updated":"2026-07-17T01:40:11Z","snapshot_observed_at":"2026-08-05T13:32:20.827674Z","submitted_at":"2025-12-11T19:13:00Z","title":"Correlation and Entanglement partners in Gaussian systems","version":2},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-08-03T17:14:18.305040Z"},"links":{"citing_paper":"/paper/2512.11055"},"observation_digest":"sha256:db200da41ea87015f2fe356308c535302e04856b9ee7e13744fc6a390aecde63","observation_id":"eef7417b-61c3-476c-8ece-77ed884228bb","resolution":{"observed_at":"2026-08-03T17:14:18.305040Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-03T17:14:18.445212Z","title":"Properties 1 and 3 indicate thatσdefines an inner product on Γ, which implies that any quantum state de- fines a metric in the classical phase space","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2512.11055","last_updated":"2026-07-17T01:40:11Z","snapshot_observed_at":"2026-08-05T13:32:20.827674Z","submitted_at":"2025-12-11T19:13:00Z","title":"Correlation and Entanglement partners in Gaussian systems","version":2},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-08-03T17:14:18.445212Z"},"links":{"citing_paper":"/paper/2512.11055"},"observation_digest":"sha256:77e37d051d4510fdfea177075ed7ff1d88872182fd85a15d403489db6135131c","observation_id":"e0610cad-03c3-48b6-92d6-be5aeebe8727","resolution":{"observed_at":"2026-08-03T17:14:18.445212Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-03T17:14:18.652253Z","title":null,"venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2512.11055","last_updated":"2026-07-17T01:40:11Z","snapshot_observed_at":"2026-08-05T13:32:20.827674Z","submitted_at":"2025-12-11T19:13:00Z","title":"Correlation and Entanglement partners in Gaussian systems","version":2},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-08-03T17:14:18.652253Z"},"links":{"citing_paper":"/paper/2512.11055"},"observation_digest":"sha256:fc4e10fd4bcf48bf7fe54496169531f8c62d7bdc4324091bfb150f2a5cd6442a","observation_id":"a16486b7-abed-4214-84a1-7022d3540085","resolution":{"observed_at":"2026-08-03T17:14:18.652253Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-03T17:14:18.793389Z","title":"symplectic eigenvalues of σ","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2512.11055","last_updated":"2026-07-17T01:40:11Z","snapshot_observed_at":"2026-08-05T13:32:20.827674Z","submitted_at":"2025-12-11T19:13:00Z","title":"Correlation and Entanglement partners in Gaussian systems","version":2},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-08-03T17:14:18.793389Z"},"links":{"citing_paper":"/paper/2512.11055"},"observation_digest":"sha256:a155a3eeb2b57963fbf5c1c57312bbeba82a5cd85b23035a3887c872e670c986","observation_id":"349b49c5-a68d-417f-8e2e-43ba89f8896d","resolution":{"observed_at":"2026-08-03T17:14:18.793389Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-03T17:14:18.840812Z","title":"normal” or “Williamson","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2512.11055","last_updated":"2026-07-17T01:40:11Z","snapshot_observed_at":"2026-08-05T13:32:20.827674Z","submitted_at":"2025-12-11T19:13:00Z","title":"Correlation and Entanglement partners in Gaussian systems","version":2},"reference_index":6,"source":"pdf_text","source_observed_at":"2026-08-03T17:14:18.840812Z"},"links":{"citing_paper":"/paper/2512.11055"},"observation_digest":"sha256:88a70b255700324a9fc8e86e214a150c1c9f2a7a29253ee9e719db3278048086","observation_id":"88a21fb1-1230-4233-99ae-61fabd4d5295","resolution":{"observed_at":"2026-08-03T17:14:18.840812Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-03T17:14:18.960651Z","title":"A basis of the partner mode ofAis made of (1− Πa)J γa and its conjugate","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2512.11055","last_updated":"2026-07-17T01:40:11Z","snapshot_observed_at":"2026-08-05T13:32:20.827674Z","submitted_at":"2025-12-11T19:13:00Z","title":"Correlation and Entanglement partners in Gaussian systems","version":2},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-08-03T17:14:18.960651Z"},"links":{"citing_paper":"/paper/2512.11055"},"observation_digest":"sha256:a1684b3636c82045d31c530316bd19b686daff3cb7c463d72c8ab613407bba3e","observation_id":"dea5080f-b79e-480a-9d68-1cd97f6cc4c6","resolution":{"observed_at":"2026-08-03T17:14:18.960651Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-03T17:14:19.087528Z","title":"That is,A cp contains all degrees of freedom in the system that are correlated with those inA","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2512.11055","last_updated":"2026-07-17T01:40:11Z","snapshot_observed_at":"2026-08-05T13:32:20.827674Z","submitted_at":"2025-12-11T19:13:00Z","title":"Correlation and Entanglement partners in Gaussian systems","version":2},"reference_index":8,"source":"pdf_text","source_observed_at":"2026-08-03T17:14:19.087528Z"},"links":{"citing_paper":"/paper/2512.11055"},"observation_digest":"sha256:6eebd559cfcc05c45e2a78d7a64b90f82dac7d788e6f6a6d6b15b65f8d1809b6","observation_id":"3a6db6d4-0e9e-44c5-bb1b-a9b3d4667fe5","resolution":{"observed_at":"2026-08-03T17:14:19.087528Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-03T17:14:19.161049Z","title":"This holds becauseJleaves invariant both Π + I Γa and Π − I Γa, for allI, as Π ± I project onto eigenspaces ofJ","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2512.11055","last_updated":"2026-07-17T01:40:11Z","snapshot_observed_at":"2026-08-05T13:32:20.827674Z","submitted_at":"2025-12-11T19:13:00Z","title":"Correlation and Entanglement partners in Gaussian systems","version":2},"reference_index":9,"source":"pdf_text","source_observed_at":"2026-08-03T17:14:19.161049Z"},"links":{"citing_paper":"/paper/2512.11055"},"observation_digest":"sha256:0e359b7541e7c7a706378cbb9b2b09d1f8ea7d386f5241872f16847af9547f21","observation_id":"0ec030d5-0393-4f5e-b40e-b636340ba248","resolution":{"observed_at":"2026-08-03T17:14:19.161049Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-03T17:14:19.228326Z","title":"For mixed ˆρ, this is no longer true, and in order to find the entanglement partner, it is insufficient to just look atJ(or, equivalently,σ)","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2512.11055","last_updated":"2026-07-17T01:40:11Z","snapshot_observed_at":"2026-08-05T13:32:20.827674Z","submitted_at":"2025-12-11T19:13:00Z","title":"Correlation and Entanglement partners in Gaussian systems","version":2},"reference_index":10,"source":"pdf_text","source_observed_at":"2026-08-03T17:14:19.228326Z"},"links":{"citing_paper":"/paper/2512.11055"},"observation_digest":"sha256:ec1cd0c9e4559dd77f921910076b1e1f3d4e458cd8e0914cfa297327d97aa20f","observation_id":"277a5ac8-3335-484d-b347-118f12cf25fa","resolution":{"observed_at":"2026-08-03T17:14:19.228326Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-03T17:14:19.309362Z","title":"This would contradict the fact that⟨·,(−I−iJ Ta )·⟩is positive semi-definite on the symplectic orthogonal complement of Γ 1","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2512.11055","last_updated":"2026-07-17T01:40:11Z","snapshot_observed_at":"2026-08-05T13:32:20.827674Z","submitted_at":"2025-12-11T19:13:00Z","title":"Correlation and Entanglement partners in Gaussian systems","version":2},"reference_index":11,"source":"pdf_text","source_observed_at":"2026-08-03T17:14:19.309362Z"},"links":{"citing_paper":"/paper/2512.11055"},"observation_digest":"sha256:8905c180b998868cf73e5be3768c496bf45211e3661465efa3511e620bf9bf3c","observation_id":"f62aa1d0-f461-4128-8b3f-0d22f71a5445","resolution":{"observed_at":"2026-08-03T17:14:19.309362Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2302.13742","last_updated":"2023-10-10T15:54:44Z","snapshot_observed_at":"2026-08-05T13:06:30.911171Z","submitted_at":"2023-02-27T13:14:21Z","title":"How ubiquitous is entanglement in quantum field theory?","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2302.13742","snapshot_observed_at":"2026-08-03T17:14:20.636075Z","title":"Agullo, B","venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2512.11055","last_updated":"2026-07-17T01:40:11Z","snapshot_observed_at":"2026-08-05T13:32:20.827674Z","submitted_at":"2025-12-11T19:13:00Z","title":"Correlation and Entanglement partners in Gaussian systems","version":2},"reference_index":12,"source":"pdf_text","source_observed_at":"2026-08-03T17:14:20.636075Z"},"links":{"cited_paper":"/paper/2302.13742","citing_paper":"/paper/2512.11055"},"observation_digest":"sha256:40c8adea9b80a26ecdceb5f05214a5c2eb7110941b332e818da19cb7e21bf7fd","observation_id":"11f3cc85-d23b-4c80-ba36-8c6dd54aae72","resolution":{"observed_at":"2026-08-03T17:14:20.636075Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-03T17:14:19.460309Z","title":null,"venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2512.11055","last_updated":"2026-07-17T01:40:11Z","snapshot_observed_at":"2026-08-05T13:32:20.827674Z","submitted_at":"2025-12-11T19:13:00Z","title":"Correlation and Entanglement partners in Gaussian systems","version":2},"reference_index":13,"source":"pdf_text","source_observed_at":"2026-08-03T17:14:19.460309Z"},"links":{"citing_paper":"/paper/2512.11055"},"observation_digest":"sha256:d0ad5e92f13868d590ae6a35ca127de2cc9334c0da9da69ac5e6263cebbed110","observation_id":"5b94162b-607b-4e25-b746-7c3620120a0b","resolution":{"observed_at":"2026-08-03T17:14:19.460309Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-03T17:14:19.510425Z","title":"14 2.σ(γ ∗, γ)+⟨γ, γ⟩is equal to 2 Tr[ˆρˆOγ ˆO † γ]","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2512.11055","last_updated":"2026-07-17T01:40:11Z","snapshot_observed_at":"2026-08-05T13:32:20.827674Z","submitted_at":"2025-12-11T19:13:00Z","title":"Correlation and Entanglement partners in Gaussian systems","version":2},"reference_index":14,"source":"pdf_text","source_observed_at":"2026-08-03T17:14:19.510425Z"},"links":{"citing_paper":"/paper/2512.11055"},"observation_digest":"sha256:9e3d7e8a1e62d791eeeac38f80b30a5ba9281f37554015b8c1b311b6c5a1abda","observation_id":"58fadc85-fbda-4fb6-9a53-5e1c85c15ded","resolution":{"observed_at":"2026-08-03T17:14:19.510425Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-03T17:14:19.563651Z","title":"Let us define the sesquilinear map (·,·) in Γ C as (γ, γ′)≡σ(γ ∗, γ′)","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2512.11055","last_updated":"2026-07-17T01:40:11Z","snapshot_observed_at":"2026-08-05T13:32:20.827674Z","submitted_at":"2025-12-11T19:13:00Z","title":"Correlation and Entanglement partners in Gaussian systems","version":2},"reference_index":15,"source":"pdf_text","source_observed_at":"2026-08-03T17:14:19.563651Z"},"links":{"citing_paper":"/paper/2512.11055"},"observation_digest":"sha256:50f2db83951bc907fa427f882f8cb3fade6ddd8a109b105e7735a2e078b38e94","observation_id":"65a73900-f78f-4a81-a8a7-62f74d2d5076","resolution":{"observed_at":"2026-08-03T17:14:19.563651Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-03T17:14:19.670237Z","title":"This is equivalent toσ ab =−ℏ −1ΩacJ c b or, equivalently, σ(·,·) =−ℏ −1Ω(·, J·)","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2512.11055","last_updated":"2026-07-17T01:40:11Z","snapshot_observed_at":"2026-08-05T13:32:20.827674Z","submitted_at":"2025-12-11T19:13:00Z","title":"Correlation and Entanglement partners in Gaussian systems","version":2},"reference_index":16,"source":"pdf_text","source_observed_at":"2026-08-03T17:14:19.670237Z"},"links":{"citing_paper":"/paper/2512.11055"},"observation_digest":"sha256:4b7997aa94a2a88932d02e1783fb33521f83c479282951237b9a1b4f87ba58ca","observation_id":"287b6f30-f10c-4226-b2d3-b966d50f3791","resolution":{"observed_at":"2026-08-03T17:14:19.670237Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-03T17:14:19.738090Z","title":null,"venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2512.11055","last_updated":"2026-07-17T01:40:11Z","snapshot_observed_at":"2026-08-05T13:32:20.827674Z","submitted_at":"2025-12-11T19:13:00Z","title":"Correlation and Entanglement partners in Gaussian systems","version":2},"reference_index":17,"source":"pdf_text","source_observed_at":"2026-08-03T17:14:19.738090Z"},"links":{"citing_paper":"/paper/2512.11055"},"observation_digest":"sha256:113488816f881abc1eb2a934e6d6a2d13dd60ee521acd65ce653bff7911f0fdc","observation_id":"c8dc97a9-f020-4533-a3df-fd3e90d1f309","resolution":{"observed_at":"2026-08-03T17:14:19.738090Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-03T17:14:19.811622Z","title":"Therefore, it suffices to show thatJis anti-Hermitian with respect to a suitable Hermitian inner product on Γ C","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2512.11055","last_updated":"2026-07-17T01:40:11Z","snapshot_observed_at":"2026-08-05T13:32:20.827674Z","submitted_at":"2025-12-11T19:13:00Z","title":"Correlation and Entanglement partners in Gaussian systems","version":2},"reference_index":18,"source":"pdf_text","source_observed_at":"2026-08-03T17:14:19.811622Z"},"links":{"citing_paper":"/paper/2512.11055"},"observation_digest":"sha256:f8f8efdeb91dd046d273c0a6da717257da614d557c851ee93d37a2a12905cf94","observation_id":"4ad101d0-73d8-4c74-ad89-ae35562f54eb","resolution":{"observed_at":"2026-08-03T17:14:19.811622Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-03T17:14:19.868910Z","title":"We denote bye I (without complex conjugate) the eigenvector ofJwith eigenvalue +iν I , withν I a non-negative real number","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2512.11055","last_updated":"2026-07-17T01:40:11Z","snapshot_observed_at":"2026-08-05T13:32:20.827674Z","submitted_at":"2025-12-11T19:13:00Z","title":"Correlation and Entanglement partners in Gaussian systems","version":2},"reference_index":19,"source":"pdf_text","source_observed_at":"2026-08-03T17:14:19.868910Z"},"links":{"citing_paper":"/paper/2512.11055"},"observation_digest":"sha256:1571b39c7b430ab7a0545317a8d05195e12ccca27078ee8dd2aa812daf2c2f04","observation_id":"bb2af8c4-dd14-4a1f-9202-117127219ef7","resolution":{"observed_at":"2026-08-03T17:14:19.868910Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-03T17:14:19.912084Z","title":"For a single-mode subsystemA,J Ta has at most one symplec- tic eigenvalue smaller than one,","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2512.11055","last_updated":"2026-07-17T01:40:11Z","snapshot_observed_at":"2026-08-05T13:32:20.827674Z","submitted_at":"2025-12-11T19:13:00Z","title":"Correlation and Entanglement partners in Gaussian systems","version":2},"reference_index":20,"source":"pdf_text","source_observed_at":"2026-08-03T17:14:19.912084Z"},"links":{"citing_paper":"/paper/2512.11055"},"observation_digest":"sha256:99150aaf41e742d97c82455eca4cff674212ad2e36fae24a4db8dee53d0f2526","observation_id":"b0754516-41a1-4b79-9184-0214aaa2e835","resolution":{"observed_at":"2026-08-03T17:14:19.912084Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-03T17:14:19.380629Z","title":"partners","venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2512.11055","last_updated":"2026-07-17T01:40:11Z","snapshot_observed_at":"2026-08-05T13:32:20.827674Z","submitted_at":"2025-12-11T19:13:00Z","title":"Correlation and Entanglement partners in Gaussian systems","version":2},"reference_index":21,"source":"pdf_text","source_observed_at":"2026-08-03T17:14:19.380629Z"},"links":{"citing_paper":"/paper/2512.11055"},"observation_digest":"sha256:6c0b9e3a8d228ce22d3e50b910229b339768e7fcad4e4bf9f18e9d771932ee48","observation_id":"25ddd3b4-ef03-49b3-ab9b-6b57e4b6e834","resolution":{"observed_at":"2026-08-03T17:14:19.380629Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-03T17:14:19.968577Z","title":null,"venue":null,"work_id":null,"year":2003},"citing_paper":{"arxiv_id":"2512.11055","last_updated":"2026-07-17T01:40:11Z","snapshot_observed_at":"2026-08-05T13:32:20.827674Z","submitted_at":"2025-12-11T19:13:00Z","title":"Correlation and Entanglement partners in Gaussian systems","version":2},"reference_index":22,"source":"pdf_text","source_observed_at":"2026-08-03T17:14:19.968577Z"},"links":{"citing_paper":"/paper/2512.11055"},"observation_digest":"sha256:9d0ce1278ec5e1107a91c1cca9e7f79303ccf41208c66fde185417efeab5ccd1","observation_id":"f2416b29-92f2-49a6-a8e6-91790bde6bbf","resolution":{"observed_at":"2026-08-03T17:14:19.968577Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-03T17:14:19.999123Z","title":"Weedbrook, S","venue":null,"work_id":null,"year":2012},"citing_paper":{"arxiv_id":"2512.11055","last_updated":"2026-07-17T01:40:11Z","snapshot_observed_at":"2026-08-05T13:32:20.827674Z","submitted_at":"2025-12-11T19:13:00Z","title":"Correlation and Entanglement partners in Gaussian systems","version":2},"reference_index":23,"source":"pdf_text","source_observed_at":"2026-08-03T17:14:19.999123Z"},"links":{"citing_paper":"/paper/2512.11055"},"observation_digest":"sha256:d78d9a8813c20414a02599763d13a5d8a6c3bf2d4c03c9a0ea43d1f498d66c9e","observation_id":"330995b2-0ee8-4141-9389-d5989e1e13d1","resolution":{"observed_at":"2026-08-03T17:14:19.999123Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-03T17:14:20.064680Z","title":"Serafini,Quantum Continuous Variables(CRC Press, 2017)","venue":null,"work_id":null,"year":2017},"citing_paper":{"arxiv_id":"2512.11055","last_updated":"2026-07-17T01:40:11Z","snapshot_observed_at":"2026-08-05T13:32:20.827674Z","submitted_at":"2025-12-11T19:13:00Z","title":"Correlation and Entanglement partners in Gaussian systems","version":2},"reference_index":24,"source":"pdf_text","source_observed_at":"2026-08-03T17:14:20.064680Z"},"links":{"citing_paper":"/paper/2512.11055"},"observation_digest":"sha256:6087e1cc24b816ec2cb12d1b03f67880d3556d03769858751672c276b1427aaf","observation_id":"9e04ec0c-2ee2-4d6f-8d2e-1a9d1a154fc6","resolution":{"observed_at":"2026-08-03T17:14:20.064680Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-03T17:14:20.117579Z","title":"Adesso, S","venue":null,"work_id":null,"year":2014},"citing_paper":{"arxiv_id":"2512.11055","last_updated":"2026-07-17T01:40:11Z","snapshot_observed_at":"2026-08-05T13:32:20.827674Z","submitted_at":"2025-12-11T19:13:00Z","title":"Correlation and Entanglement partners in Gaussian systems","version":2},"reference_index":25,"source":"pdf_text","source_observed_at":"2026-08-03T17:14:20.117579Z"},"links":{"citing_paper":"/paper/2512.11055"},"observation_digest":"sha256:fbddd162aafaf8e522c409255b09f9daff80eaf1053f9739f56c53c005436146","observation_id":"3a33ec79-fcd6-4b3c-b8f1-88cdd0b1530a","resolution":{"observed_at":"2026-08-03T17:14:20.117579Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-03T17:14:20.201011Z","title":"Hotta, R","venue":null,"work_id":null,"year":2015},"citing_paper":{"arxiv_id":"2512.11055","last_updated":"2026-07-17T01:40:11Z","snapshot_observed_at":"2026-08-05T13:32:20.827674Z","submitted_at":"2025-12-11T19:13:00Z","title":"Correlation and Entanglement partners in Gaussian systems","version":2},"reference_index":26,"source":"pdf_text","source_observed_at":"2026-08-03T17:14:20.201011Z"},"links":{"citing_paper":"/paper/2512.11055"},"observation_digest":"sha256:52bed1f60ec687aee75aeacd562a46ce558202f3f7f34166b1f873cc320fa328","observation_id":"adb49f4b-1efa-4b32-abf7-9db4fc7ab9d0","resolution":{"observed_at":"2026-08-03T17:14:20.201011Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-03T17:14:20.256127Z","title":"Trevison, K","venue":null,"work_id":null,"year":2019},"citing_paper":{"arxiv_id":"2512.11055","last_updated":"2026-07-17T01:40:11Z","snapshot_observed_at":"2026-08-05T13:32:20.827674Z","submitted_at":"2025-12-11T19:13:00Z","title":"Correlation and Entanglement partners in Gaussian systems","version":2},"reference_index":27,"source":"pdf_text","source_observed_at":"2026-08-03T17:14:20.256127Z"},"links":{"citing_paper":"/paper/2512.11055"},"observation_digest":"sha256:104d311f20cfdb408d80fc3e3fcd6812331a97cfe06a9923e6c3e0f8885bd8b1","observation_id":"2cca7f35-c694-4e49-b972-ec9b15bf7254","resolution":{"observed_at":"2026-08-03T17:14:20.256127Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-03T17:14:20.312168Z","title":"Tomitsuka, K","venue":null,"work_id":null,"year":2020},"citing_paper":{"arxiv_id":"2512.11055","last_updated":"2026-07-17T01:40:11Z","snapshot_observed_at":"2026-08-05T13:32:20.827674Z","submitted_at":"2025-12-11T19:13:00Z","title":"Correlation and Entanglement partners in Gaussian systems","version":2},"reference_index":28,"source":"pdf_text","source_observed_at":"2026-08-03T17:14:20.312168Z"},"links":{"citing_paper":"/paper/2512.11055"},"observation_digest":"sha256:44b8ee7e500d1902629c7a644abd67766c45d2a2e1692bebe9422586d5151142","observation_id":"0f18c75e-5612-47cc-aa47-205a3aa88314","resolution":{"observed_at":"2026-08-03T17:14:20.312168Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-03T17:14:20.365674Z","title":"Nambu and K","venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2512.11055","last_updated":"2026-07-17T01:40:11Z","snapshot_observed_at":"2026-08-05T13:32:20.827674Z","submitted_at":"2025-12-11T19:13:00Z","title":"Correlation and Entanglement partners in Gaussian systems","version":2},"reference_index":29,"source":"pdf_text","source_observed_at":"2026-08-03T17:14:20.365674Z"},"links":{"citing_paper":"/paper/2512.11055"},"observation_digest":"sha256:89c3db97b22f7305b9389578950efd67fe7714b4f0e289005fe0095421649d81","observation_id":"e2e3e41b-b5d3-4eac-aadb-63b238a8a8f5","resolution":{"observed_at":"2026-08-03T17:14:20.365674Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-03T17:14:20.416352Z","title":null,"venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2512.11055","last_updated":"2026-07-17T01:40:11Z","snapshot_observed_at":"2026-08-05T13:32:20.827674Z","submitted_at":"2025-12-11T19:13:00Z","title":"Correlation and Entanglement partners in Gaussian systems","version":2},"reference_index":30,"source":"pdf_text","source_observed_at":"2026-08-03T17:14:20.416352Z"},"links":{"citing_paper":"/paper/2512.11055"},"observation_digest":"sha256:26f74680ad8ea547242d9e0d8df828cbe7b2b68281182b841012a663be16ac07","observation_id":"e8e7bcc0-848e-4b71-9d4e-dbfa31368890","resolution":{"observed_at":"2026-08-03T17:14:20.416352Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-03T17:14:20.495837Z","title":"Osawa, K.-N","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2512.11055","last_updated":"2026-07-17T01:40:11Z","snapshot_observed_at":"2026-08-05T13:32:20.827674Z","submitted_at":"2025-12-11T19:13:00Z","title":"Correlation and Entanglement partners in Gaussian systems","version":2},"reference_index":31,"source":"pdf_text","source_observed_at":"2026-08-03T17:14:20.495837Z"},"links":{"citing_paper":"/paper/2512.11055"},"observation_digest":"sha256:0b3b624ebe84e6337806ddf2b056c5820d6ec8c54b71d132d0aae24b8f92e426","observation_id":"8a0317f5-4c0b-4852-b4f5-239ba41bbc1d","resolution":{"observed_at":"2026-08-03T17:14:20.495837Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-03T17:14:20.577954Z","title":null,"venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2512.11055","last_updated":"2026-07-17T01:40:11Z","snapshot_observed_at":"2026-08-05T13:32:20.827674Z","submitted_at":"2025-12-11T19:13:00Z","title":"Correlation and Entanglement partners in Gaussian systems","version":2},"reference_index":32,"source":"pdf_text","source_observed_at":"2026-08-03T17:14:20.577954Z"},"links":{"citing_paper":"/paper/2512.11055"},"observation_digest":"sha256:cdab662d89859493df490513935ad24bb4fdfc56b70e38ff896236945ba57838","observation_id":"98ef0b2d-879f-4dc9-bef5-e3915f85f237","resolution":{"observed_at":"2026-08-03T17:14:20.577954Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2409.16366","last_updated":"2024-09-24T18:01:12Z","snapshot_observed_at":"2026-08-07T01:20:05.639994Z","submitted_at":"2024-09-24T18:01:12Z","title":"Inflation does not create entanglement in local observables","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2409.16366","snapshot_observed_at":"2026-08-03T17:14:20.689077Z","title":"Ribes-Metidieri, I","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2512.11055","last_updated":"2026-07-17T01:40:11Z","snapshot_observed_at":"2026-08-05T13:32:20.827674Z","submitted_at":"2025-12-11T19:13:00Z","title":"Correlation and Entanglement partners in Gaussian systems","version":2},"reference_index":33,"source":"pdf_text","source_observed_at":"2026-08-03T17:14:20.689077Z"},"links":{"cited_paper":"/paper/2409.16366","citing_paper":"/paper/2512.11055"},"observation_digest":"sha256:36f45046b1af3450418d89b15f29f4cbc1a4871a97e1ca8b4302fab14fa4f447","observation_id":"f77b420e-2ed2-4c66-8277-aa1dd2530e5d","resolution":{"observed_at":"2026-08-03T17:14:20.689077Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-03T17:14:20.749330Z","title":"Ribes-Metidieri, I","venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2512.11055","last_updated":"2026-07-17T01:40:11Z","snapshot_observed_at":"2026-08-05T13:32:20.827674Z","submitted_at":"2025-12-11T19:13:00Z","title":"Correlation and Entanglement partners in Gaussian systems","version":2},"reference_index":34,"source":"pdf_text","source_observed_at":"2026-08-03T17:14:20.749330Z"},"links":{"citing_paper":"/paper/2512.11055"},"observation_digest":"sha256:7fa9aff030a73f08882bb4934f1ec7814426758b3aeeeb321bad57a29bc13506","observation_id":"433d6bf2-c8ec-4756-b270-bae083b661d8","resolution":{"observed_at":"2026-08-03T17:14:20.749330Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-03T17:14:20.799371Z","title":"Trevison, K","venue":null,"work_id":null,"year":2018},"citing_paper":{"arxiv_id":"2512.11055","last_updated":"2026-07-17T01:40:11Z","snapshot_observed_at":"2026-08-05T13:32:20.827674Z","submitted_at":"2025-12-11T19:13:00Z","title":"Correlation and Entanglement partners in Gaussian systems","version":2},"reference_index":35,"source":"pdf_text","source_observed_at":"2026-08-03T17:14:20.799371Z"},"links":{"citing_paper":"/paper/2512.11055"},"observation_digest":"sha256:e1250204c31ac9e9d6497905cc70f3c222ca9943067f8f0b74ebea956cfb9063","observation_id":"3581d8fd-1889-4806-acec-68c383e53880","resolution":{"observed_at":"2026-08-03T17:14:20.799371Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-03T17:14:20.878737Z","title":"Hackl and R","venue":null,"work_id":null,"year":2019},"citing_paper":{"arxiv_id":"2512.11055","last_updated":"2026-07-17T01:40:11Z","snapshot_observed_at":"2026-08-05T13:32:20.827674Z","submitted_at":"2025-12-11T19:13:00Z","title":"Correlation and Entanglement partners in Gaussian systems","version":2},"reference_index":36,"source":"pdf_text","source_observed_at":"2026-08-03T17:14:20.878737Z"},"links":{"citing_paper":"/paper/2512.11055"},"observation_digest":"sha256:469b737037c84df81d30bca089e86d2a0b6574090510e0de9b15a77978e1a02b","observation_id":"296963fd-eaef-4d5f-9ddb-f44a25efc14b","resolution":{"observed_at":"2026-08-03T17:14:20.878737Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-03T17:14:20.911141Z","title":"Osawa, Y","venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2512.11055","last_updated":"2026-07-17T01:40:11Z","snapshot_observed_at":"2026-08-05T13:32:20.827674Z","submitted_at":"2025-12-11T19:13:00Z","title":"Correlation and Entanglement partners in Gaussian systems","version":2},"reference_index":37,"source":"pdf_text","source_observed_at":"2026-08-03T17:14:20.911141Z"},"links":{"citing_paper":"/paper/2512.11055"},"observation_digest":"sha256:96f7d2dfe5ce3b3dfdcbe26df56dc90e598a6139f7a9c930878942e005d6e24f","observation_id":"be1d58cf-6d92-4904-b1a3-7c2d43707025","resolution":{"observed_at":"2026-08-03T17:14:20.911141Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-03T17:14:20.917784Z","title":"Hackl and E","venue":null,"work_id":null,"year":2021},"citing_paper":{"arxiv_id":"2512.11055","last_updated":"2026-07-17T01:40:11Z","snapshot_observed_at":"2026-08-05T13:32:20.827674Z","submitted_at":"2025-12-11T19:13:00Z","title":"Correlation and Entanglement partners in Gaussian systems","version":2},"reference_index":38,"source":"pdf_text","source_observed_at":"2026-08-03T17:14:20.917784Z"},"links":{"citing_paper":"/paper/2512.11055"},"observation_digest":"sha256:2fca3cb2978612d3b27e955bbc3061d9159a09ca40e7980d8f89274c7540e350","observation_id":"d3b446c8-f03a-4c43-bf15-daf6d8de9516","resolution":{"observed_at":"2026-08-03T17:14:20.917784Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2103.09657","last_updated":"2021-06-18T10:51:44Z","snapshot_observed_at":"2026-08-04T01:03:07.656856Z","submitted_at":"2021-03-17T13:55:44Z","title":"Entanglement dualities in supersymmetry","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2103.09657","snapshot_observed_at":"2026-08-03T17:14:20.987449Z","title":null,"venue":null,"work_id":null,"year":2021},"citing_paper":{"arxiv_id":"2512.11055","last_updated":"2026-07-17T01:40:11Z","snapshot_observed_at":"2026-08-05T13:32:20.827674Z","submitted_at":"2025-12-11T19:13:00Z","title":"Correlation and Entanglement partners in Gaussian systems","version":2},"reference_index":39,"source":"pdf_text","source_observed_at":"2026-08-03T17:14:20.987449Z"},"links":{"cited_paper":"/paper/2103.09657","citing_paper":"/paper/2512.11055"},"observation_digest":"sha256:9d394247f45ead1a6df3ae18208b84e39bef8dfc93378276f47e573044dad868","observation_id":"4a91b6e8-efe0-4228-b2e0-b331c685d791","resolution":{"observed_at":"2026-08-03T17:14:20.987449Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-03T17:14:21.096077Z","title":"Yamaguchi and M","venue":null,"work_id":null,"year":2020},"citing_paper":{"arxiv_id":"2512.11055","last_updated":"2026-07-17T01:40:11Z","snapshot_observed_at":"2026-08-05T13:32:20.827674Z","submitted_at":"2025-12-11T19:13:00Z","title":"Correlation and Entanglement partners in Gaussian systems","version":2},"reference_index":40,"source":"pdf_text","source_observed_at":"2026-08-03T17:14:21.096077Z"},"links":{"citing_paper":"/paper/2512.11055"},"observation_digest":"sha256:52154ba891c6fdc3da7e62e982ba5e326a7d7e8b60e28a11b406f260b42bacee","observation_id":"72911ce5-bbb1-4f26-ae0c-394bf5d45ed7","resolution":{"observed_at":"2026-08-03T17:14:21.096077Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-03T17:14:21.212165Z","title":"Yamaguchi, A","venue":null,"work_id":null,"year":2020},"citing_paper":{"arxiv_id":"2512.11055","last_updated":"2026-07-17T01:40:11Z","snapshot_observed_at":"2026-08-05T13:32:20.827674Z","submitted_at":"2025-12-11T19:13:00Z","title":"Correlation and Entanglement partners in Gaussian systems","version":2},"reference_index":41,"source":"pdf_text","source_observed_at":"2026-08-03T17:14:21.212165Z"},"links":{"citing_paper":"/paper/2512.11055"},"observation_digest":"sha256:fcfcbb43ebe145445fbb8374bb7c6969246a71d49648e7bc087ee342201116f8","observation_id":"65a0274a-141f-4f4a-80ed-04a3d1debf5d","resolution":{"observed_at":"2026-08-03T17:14:21.212165Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-03T17:14:21.293877Z","title":"Yamaguchi,Quantum Information Capsule and Its Applications to Communication Through Quantum Fields, Ph.D","venue":null,"work_id":null,"year":2021},"citing_paper":{"arxiv_id":"2512.11055","last_updated":"2026-07-17T01:40:11Z","snapshot_observed_at":"2026-08-05T13:32:20.827674Z","submitted_at":"2025-12-11T19:13:00Z","title":"Correlation and Entanglement partners in Gaussian systems","version":2},"reference_index":42,"source":"pdf_text","source_observed_at":"2026-08-03T17:14:21.293877Z"},"links":{"citing_paper":"/paper/2512.11055"},"observation_digest":"sha256:25d0462fb51e24c5b598520c5cf5eb5f44e4eca614f55f80f57d05c0ed719a58","observation_id":"1fcac42d-3372-4631-83cd-5b684a606aea","resolution":{"observed_at":"2026-08-03T17:14:21.293877Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2409.16368","last_updated":"2024-09-24T18:01:55Z","snapshot_observed_at":"2026-07-06T19:21:25.132336Z","submitted_at":"2024-09-24T18:01:55Z","title":"The multimode nature of spacetime entanglement in QFT","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2409.16368","snapshot_observed_at":"2026-08-03T17:14:21.405527Z","title":"Agullo, B","venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2512.11055","last_updated":"2026-07-17T01:40:11Z","snapshot_observed_at":"2026-08-05T13:32:20.827674Z","submitted_at":"2025-12-11T19:13:00Z","title":"Correlation and Entanglement partners in Gaussian systems","version":2},"reference_index":43,"source":"pdf_text","source_observed_at":"2026-08-03T17:14:21.405527Z"},"links":{"cited_paper":"/paper/2409.16368","citing_paper":"/paper/2512.11055"},"observation_digest":"sha256:a0b18ac9041d5c924853b2107425632deef870a5b28285b6459666c616e17cb3","observation_id":"e86ab82e-f4e7-49d4-8b88-e4cae7c8b182","resolution":{"observed_at":"2026-08-03T17:14:21.405527Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-03T17:14:21.513830Z","title":"Klco and M","venue":null,"work_id":null,"year":2021},"citing_paper":{"arxiv_id":"2512.11055","last_updated":"2026-07-17T01:40:11Z","snapshot_observed_at":"2026-08-05T13:32:20.827674Z","submitted_at":"2025-12-11T19:13:00Z","title":"Correlation and Entanglement partners in Gaussian systems","version":2},"reference_index":44,"source":"pdf_text","source_observed_at":"2026-08-03T17:14:21.513830Z"},"links":{"citing_paper":"/paper/2512.11055"},"observation_digest":"sha256:4b5c845ebf8bd0937cbed4e08892e41fac033647b97d06e28d077349030811cd","observation_id":"299c28c6-7d03-4b26-bfc5-984183a5b694","resolution":{"observed_at":"2026-08-03T17:14:21.513830Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-03T17:14:21.671493Z","title":"Klco and M","venue":null,"work_id":null,"year":2021},"citing_paper":{"arxiv_id":"2512.11055","last_updated":"2026-07-17T01:40:11Z","snapshot_observed_at":"2026-08-05T13:32:20.827674Z","submitted_at":"2025-12-11T19:13:00Z","title":"Correlation and Entanglement partners in Gaussian systems","version":2},"reference_index":45,"source":"pdf_text","source_observed_at":"2026-08-03T17:14:21.671493Z"},"links":{"citing_paper":"/paper/2512.11055"},"observation_digest":"sha256:e17d64cbceeb2af4fe6da9008fcfbe3c231ff973390ce2e6b8ca2789415620a7","observation_id":"ebf1d283-aaf4-4ae4-802c-0e2ca1946bb5","resolution":{"observed_at":"2026-08-03T17:14:21.671493Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-03T17:14:21.781871Z","title":null,"venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2512.11055","last_updated":"2026-07-17T01:40:11Z","snapshot_observed_at":"2026-08-05T13:32:20.827674Z","submitted_at":"2025-12-11T19:13:00Z","title":"Correlation and Entanglement partners in Gaussian systems","version":2},"reference_index":46,"source":"pdf_text","source_observed_at":"2026-08-03T17:14:21.781871Z"},"links":{"citing_paper":"/paper/2512.11055"},"observation_digest":"sha256:5571181419ff573d26691688e745f3f08099eb582612d3056632384c5713853e","observation_id":"3617fae9-a94b-4d38-8bc4-84a354f436d4","resolution":{"observed_at":"2026-08-03T17:14:21.781871Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-03T17:14:21.915048Z","title":"Gao and N","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2512.11055","last_updated":"2026-07-17T01:40:11Z","snapshot_observed_at":"2026-08-05T13:32:20.827674Z","submitted_at":"2025-12-11T19:13:00Z","title":"Correlation and Entanglement partners in Gaussian systems","version":2},"reference_index":47,"source":"pdf_text","source_observed_at":"2026-08-03T17:14:21.915048Z"},"links":{"citing_paper":"/paper/2512.11055"},"observation_digest":"sha256:8383a05f698ff14ac41d9fa24dc4ddd784c22e0ab199c7bf69c62dd631c84443","observation_id":"ca31de23-625c-4ca6-83dc-245f8b568d86","resolution":{"observed_at":"2026-08-03T17:14:21.915048Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1904.04051","last_updated":"2019-11-18T15:39:40Z","snapshot_observed_at":"2026-07-06T07:44:40.937729Z","submitted_at":"2019-04-08T13:36:11Z","title":"Algebraic Quantum Field Theory -- an introduction","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1904.04051","snapshot_observed_at":"2026-08-03T17:14:22.023134Z","title":null,"venue":null,"work_id":null,"year":2019},"citing_paper":{"arxiv_id":"2512.11055","last_updated":"2026-07-17T01:40:11Z","snapshot_observed_at":"2026-08-05T13:32:20.827674Z","submitted_at":"2025-12-11T19:13:00Z","title":"Correlation and Entanglement partners in Gaussian systems","version":2},"reference_index":48,"source":"pdf_text","source_observed_at":"2026-08-03T17:14:22.023134Z"},"links":{"cited_paper":"/paper/1904.04051","citing_paper":"/paper/2512.11055"},"observation_digest":"sha256:76e8c295c740fc19cabe282e899b4ffa4a42ec66303ad3d63e69536318cfd4d9","observation_id":"b1fb3acb-bb7b-499a-a781-a2b8230477e5","resolution":{"observed_at":"2026-08-03T17:14:22.023134Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-03T17:14:22.173509Z","title":"Serafini,Quantum Continuous Variables: A Primer of Theoretical Methods(CRC Press, Taylor & Francis Group, 2017)","venue":null,"work_id":null,"year":2017},"citing_paper":{"arxiv_id":"2512.11055","last_updated":"2026-07-17T01:40:11Z","snapshot_observed_at":"2026-08-05T13:32:20.827674Z","submitted_at":"2025-12-11T19:13:00Z","title":"Correlation and Entanglement partners in Gaussian systems","version":2},"reference_index":49,"source":"pdf_text","source_observed_at":"2026-08-03T17:14:22.173509Z"},"links":{"citing_paper":"/paper/2512.11055"},"observation_digest":"sha256:ebc5425af53f9617ce92a4f7b3e7c1e07d0a06ae26d3de321a203af5288765e1","observation_id":"38e2bbf7-8afb-4ff6-b34e-bd1213774b7f","resolution":{"observed_at":"2026-08-03T17:14:22.173509Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2208.08682","last_updated":"2024-02-04T23:32:48Z","snapshot_observed_at":"2026-08-04T23:28:38.399019Z","submitted_at":"2022-08-18T07:32:37Z","title":"Quantum Mechanics in Phase Space: An introduction","version":6},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2208.08682","snapshot_observed_at":"2026-08-03T17:14:22.253921Z","title":"Mart ´ ın-Mart ´ ınez, Quantum Mechanics in Phase Space: An introduction (2022), arXiv:2208.08682","venue":null,"work_id":null,"year":2022},"citing_paper":{"arxiv_id":"2512.11055","last_updated":"2026-07-17T01:40:11Z","snapshot_observed_at":"2026-08-05T13:32:20.827674Z","submitted_at":"2025-12-11T19:13:00Z","title":"Correlation and Entanglement partners in Gaussian systems","version":2},"reference_index":50,"source":"pdf_text","source_observed_at":"2026-08-03T17:14:22.253921Z"},"links":{"cited_paper":"/paper/2208.08682","citing_paper":"/paper/2512.11055"},"observation_digest":"sha256:4527d079e5a820e4e756fdf39ebb0597d1f74ddd37091e08edad4ea2166b0677","observation_id":"69040e71-041c-47bc-a222-66e37905b696","resolution":{"observed_at":"2026-08-03T17:14:22.253921Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"quant-ph/0702069","last_updated":"2007-02-07T15:05:27Z","snapshot_observed_at":"2026-07-07T07:25:07.607774Z","submitted_at":"2007-02-07T15:05:27Z","title":"Entanglement of Gaussian states","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"quant-ph/0702069","snapshot_observed_at":"2026-08-03T17:14:22.348313Z","title":"Adesso, Entanglement of gaussian states (2007), arXiv:quant-ph/0702069 [quant-ph]","venue":null,"work_id":null,"year":2007},"citing_paper":{"arxiv_id":"2512.11055","last_updated":"2026-07-17T01:40:11Z","snapshot_observed_at":"2026-08-05T13:32:20.827674Z","submitted_at":"2025-12-11T19:13:00Z","title":"Correlation and Entanglement partners in Gaussian systems","version":2},"reference_index":51,"source":"pdf_text","source_observed_at":"2026-08-03T17:14:22.348313Z"},"links":{"cited_paper":"/paper/quant-ph/0702069","citing_paper":"/paper/2512.11055"},"observation_digest":"sha256:1fbe59995c45f176d122f4493ebc8d2a03f10c62416b9c7d61c61e8eaa31306a","observation_id":"c334f859-66fd-4ae2-8467-7bdbb69ed7e2","resolution":{"observed_at":"2026-08-03T17:14:22.348313Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1209.2748","last_updated":"2012-09-12T22:50:32Z","snapshot_observed_at":"2026-07-06T02:55:30.184256Z","submitted_at":"2012-09-12T22:50:32Z","title":"Pedagogical introduction to the entropy of entanglement for Gaussian states","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1209.2748","snapshot_observed_at":"2026-08-03T17:14:22.408298Z","title":null,"venue":null,"work_id":null,"year":2012},"citing_paper":{"arxiv_id":"2512.11055","last_updated":"2026-07-17T01:40:11Z","snapshot_observed_at":"2026-08-05T13:32:20.827674Z","submitted_at":"2025-12-11T19:13:00Z","title":"Correlation and Entanglement partners in Gaussian systems","version":2},"reference_index":52,"source":"pdf_text","source_observed_at":"2026-08-03T17:14:22.408298Z"},"links":{"cited_paper":"/paper/1209.2748","citing_paper":"/paper/2512.11055"},"observation_digest":"sha256:35947e458ec8e32dddd651f9d9a35dabfc4daa6ec474200fed1a6c94c48a2ff2","observation_id":"6244a11d-1820-4201-9365-8307862c7b89","resolution":{"observed_at":"2026-08-03T17:14:22.408298Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-03T17:14:22.475017Z","title":"Ashtekar and A","venue":null,"work_id":null,"year":1975},"citing_paper":{"arxiv_id":"2512.11055","last_updated":"2026-07-17T01:40:11Z","snapshot_observed_at":"2026-08-05T13:32:20.827674Z","submitted_at":"2025-12-11T19:13:00Z","title":"Correlation and Entanglement partners in Gaussian systems","version":2},"reference_index":53,"source":"pdf_text","source_observed_at":"2026-08-03T17:14:22.475017Z"},"links":{"citing_paper":"/paper/2512.11055"},"observation_digest":"sha256:2da583cec26d3969a354346b71d81a2ff3f69c317ca6f19990159f3b1678edc8","observation_id":"3d2100c8-0687-4b7c-9d4c-e88976110755","resolution":{"observed_at":"2026-08-03T17:14:22.475017Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-03T17:14:22.533663Z","title":"Serafini, G","venue":null,"work_id":null,"year":2005},"citing_paper":{"arxiv_id":"2512.11055","last_updated":"2026-07-17T01:40:11Z","snapshot_observed_at":"2026-08-05T13:32:20.827674Z","submitted_at":"2025-12-11T19:13:00Z","title":"Correlation and Entanglement partners in Gaussian systems","version":2},"reference_index":54,"source":"pdf_text","source_observed_at":"2026-08-03T17:14:22.533663Z"},"links":{"citing_paper":"/paper/2512.11055"},"observation_digest":"sha256:b0d9372d83ec9c518ce87a2160b686840efc6d52cf0284ae6390da386317b170","observation_id":"3a60f680-bc52-4321-a242-d766e76fc754","resolution":{"observed_at":"2026-08-03T17:14:22.533663Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-03T17:14:22.633253Z","title":"Simon, Peres-Horodecki Separability Criterion for Continuous Variable Systems, Phys","venue":null,"work_id":null,"year":2000},"citing_paper":{"arxiv_id":"2512.11055","last_updated":"2026-07-17T01:40:11Z","snapshot_observed_at":"2026-08-05T13:32:20.827674Z","submitted_at":"2025-12-11T19:13:00Z","title":"Correlation and Entanglement partners in Gaussian systems","version":2},"reference_index":55,"source":"pdf_text","source_observed_at":"2026-08-03T17:14:22.633253Z"},"links":{"citing_paper":"/paper/2512.11055"},"observation_digest":"sha256:dacfa5b27a7a72efc43c389436520f766f2b80ef4c3dbecb3eb67e626aa91307","observation_id":"ed400aa2-63ec-4fa2-862c-1d57c3471bbd","resolution":{"observed_at":"2026-08-03T17:14:22.633253Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-03T17:14:22.701732Z","title":"Vidal and R","venue":null,"work_id":null,"year":2002},"citing_paper":{"arxiv_id":"2512.11055","last_updated":"2026-07-17T01:40:11Z","snapshot_observed_at":"2026-08-05T13:32:20.827674Z","submitted_at":"2025-12-11T19:13:00Z","title":"Correlation and Entanglement partners in Gaussian systems","version":2},"reference_index":56,"source":"pdf_text","source_observed_at":"2026-08-03T17:14:22.701732Z"},"links":{"citing_paper":"/paper/2512.11055"},"observation_digest":"sha256:caf8407b1a5139f5fec3157245516c83c4689f15c2f54de96000c07277e497bb","observation_id":"566950d3-8405-4cf2-8fde-4c4df65da823","resolution":{"observed_at":"2026-08-03T17:14:22.701732Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-03T17:14:22.760156Z","title":null,"venue":null,"work_id":null,"year":2005},"citing_paper":{"arxiv_id":"2512.11055","last_updated":"2026-07-17T01:40:11Z","snapshot_observed_at":"2026-08-05T13:32:20.827674Z","submitted_at":"2025-12-11T19:13:00Z","title":"Correlation and Entanglement partners in Gaussian systems","version":2},"reference_index":57,"source":"pdf_text","source_observed_at":"2026-08-03T17:14:22.760156Z"},"links":{"citing_paper":"/paper/2512.11055"},"observation_digest":"sha256:2363f18acaca6900641c2080c1a1415714921e9cbed8d43af992d9f1eb472863","observation_id":"8d534615-a57e-438e-a8a1-4b79566a6e14","resolution":{"observed_at":"2026-08-03T17:14:22.760156Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-03T17:14:22.818514Z","title":"Audenaert, M","venue":null,"work_id":null,"year":2003},"citing_paper":{"arxiv_id":"2512.11055","last_updated":"2026-07-17T01:40:11Z","snapshot_observed_at":"2026-08-05T13:32:20.827674Z","submitted_at":"2025-12-11T19:13:00Z","title":"Correlation and Entanglement partners in Gaussian systems","version":2},"reference_index":58,"source":"pdf_text","source_observed_at":"2026-08-03T17:14:22.818514Z"},"links":{"citing_paper":"/paper/2512.11055"},"observation_digest":"sha256:8f33486b7b568a472b9e660326e2a655c0495a3f96a0bb4f3d9e0dfe1cd9743a","observation_id":"d645983c-9432-4368-bdcc-7446ec9cf654","resolution":{"observed_at":"2026-08-03T17:14:22.818514Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-03T17:14:22.877793Z","title":null,"venue":null,"work_id":null,"year":2007},"citing_paper":{"arxiv_id":"2512.11055","last_updated":"2026-07-17T01:40:11Z","snapshot_observed_at":"2026-08-05T13:32:20.827674Z","submitted_at":"2025-12-11T19:13:00Z","title":"Correlation and Entanglement partners in Gaussian systems","version":2},"reference_index":59,"source":"pdf_text","source_observed_at":"2026-08-03T17:14:22.877793Z"},"links":{"citing_paper":"/paper/2512.11055"},"observation_digest":"sha256:e0755ffb092e84a35e2d539b8f15436b368249907899b1ce2ef80bd2a0d5fce9","observation_id":"68abac08-26cb-445c-b9fc-d75fec8b302d","resolution":{"observed_at":"2026-08-03T17:14:22.877793Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}}],"paper":{"arxiv_id":"2512.11055","last_updated":"2026-07-17T01:40:11Z","latest_version":2,"primary_category":"quant-ph","snapshot_observed_at":"2026-08-05T13:32:20.827674Z","submitted_at":"2025-12-11T19:13:00Z","title":"Correlation and Entanglement partners in Gaussian systems"},"reference_resolution":{"displayed":59,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":59,"verified_exact":0,"verified_fuzzy":0},"total_outbound_references":59},"refusal":"A citation records a reference. It does not transfer a finding from one paper to another.","schema":"pith.paper-citation-record.v1","standing_sources":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"thesis":"As of 7 August 2026, this Paper Citation Record lists 59 of 59 outbound references and 5 inbound Pith citation observations for arXiv:2512.11055."}