{"as_of":"2026-08-03T18:48:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:53c2eb1c43b40b3a48427f333e64a2f0bf3301728c74511f05b08ac71d6ff565","coverage":[{"denominator":69,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":69,"source":"paper_references, paper_reference_links","source_observed_at":"2026-05-18T19:29:21.545454Z","state":"measured"},{"denominator":70,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":70,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-03T06:30:56.289259+00:00","state":"measured"},{"denominator":1,"lane":"inbound_itemization","note":"Pith citing papers itemized under the disclosed page cap.","records_observed":1,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-02T21:02:25.902811Z","state":"measured"},{"denominator":1,"lane":"external_citation_measurements","note":"A source-named dated measurement, never combined with another source.","records_observed":0,"source":"cited_works","source_observed_at":null,"state":"measured"}],"external_citation_measurements":[],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"2509.00536","last_updated":"2026-04-11T14:36:29Z","snapshot_observed_at":"2026-08-01T22:50:03.240777Z","submitted_at":"2025-08-30T15:38:45Z","title":"Ground State Energy of Dilute Fermi Gases in 1D","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2509.00536","snapshot_observed_at":"2026-08-02T21:02:25.902811Z","title":"Agerskov, R","venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2602.21640","last_updated":"2026-06-01T12:05:39Z","snapshot_observed_at":"2026-08-02T21:02:23.695592Z","submitted_at":"2026-02-25T07:08:00Z","title":"Semi-classical limit of an attractive Fermi gas in one or two dimensions","version":2},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-08-02T21:02:25.902811Z"},"links":{"cited_paper":"/paper/2509.00536","citing_paper":"/paper/2602.21640"},"observation_digest":"sha256:e48c7d90c01ba3e3de75dee2cee5bfaa5bab97500a1dd27d35421afef4295cdd","observation_id":"4235b41c-982b-4d53-94b5-75fbe4172e28","resolution":{"observed_at":"2026-08-02T21:02:25.902811Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}}],"links":{"evidence":"/evidence","html":"/paper/2509.00536/citation-record","integrity":"/paper/2509.00536/integrity","json":"/paper/2509.00536/citation-record.json","paper":"/paper/2509.00536"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":"Eigenvalues and eigenfunctions of a Bose system of hard spheres and its low-temperature properties","venue":null,"work_id":"a6dcda84-0e9f-470e-a83d-7be6dcba73dd","year":1957},"citing_paper":{"arxiv_id":"2509.00536","last_updated":"2026-04-11T14:36:29Z","snapshot_observed_at":"2026-08-01T22:50:03.240777Z","submitted_at":"2025-08-30T15:38:45Z","title":"Ground State Energy of Dilute Fermi Gases in 1D","version":2},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-05-18T19:29:21.545454Z"},"links":{"citing_paper":"/paper/2509.00536"},"observation_digest":"sha256:e474161a5535a3ddba0b94c7acbbf35a466e9c581ba96503f2a5ffcaa22f416b","observation_id":"3d7dc9b5-b402-487c-aa0d-34c58c5d669a","resolution":{"observed_at":"2026-05-18T19:31:48.274474Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-03T06:30:56.289259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-03T06:30:56.289259+00:00","source":"crossref"},{"observed_at":"2026-08-03T06:30:50.922721+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":"Ground-state energy of a hard-sphere gas","venue":null,"work_id":"87391c34-cfd2-4053-a5e0-3e6ce11aed5c","year":1957},"citing_paper":{"arxiv_id":"2509.00536","last_updated":"2026-04-11T14:36:29Z","snapshot_observed_at":"2026-08-01T22:50:03.240777Z","submitted_at":"2025-08-30T15:38:45Z","title":"Ground State Energy of Dilute Fermi Gases in 1D","version":2},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-05-18T19:29:21.545454Z"},"links":{"citing_paper":"/paper/2509.00536"},"observation_digest":"sha256:3bee5a0e854292c5763b92826071ebbbddfc221d61c01cb7e5568ff45f01b2ac","observation_id":"58e24b33-4319-4b71-821d-d52cd9ee821e","resolution":{"observed_at":"2026-05-18T19:31:48.279133Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-03T06:30:56.289259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-03T06:30:56.289259+00:00","source":"crossref"},{"observed_at":"2026-08-03T06:30:50.922721+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":"Ground state energy of the low density Bose gas","venue":null,"work_id":"4db432c2-16e1-49e5-becf-dbfb402d62cd","year":1998},"citing_paper":{"arxiv_id":"2509.00536","last_updated":"2026-04-11T14:36:29Z","snapshot_observed_at":"2026-08-01T22:50:03.240777Z","submitted_at":"2025-08-30T15:38:45Z","title":"Ground State Energy of Dilute Fermi Gases in 1D","version":2},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-05-18T19:29:21.545454Z"},"links":{"citing_paper":"/paper/2509.00536"},"observation_digest":"sha256:f2d90212dae6cacc2d09208fa9c9c08ac03818c29fd95c1ea4ff5710e1a634a7","observation_id":"1c5a437d-01dd-4a7c-9e46-34053164278e","resolution":{"observed_at":"2026-05-18T19:32:49.050662Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-03T06:30:56.289259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-03T06:30:56.289259+00:00","source":"crossref"},{"observed_at":"2026-08-03T06:30:50.922721+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":"The second order upper bound for the ground energy of a Bose gas","venue":null,"work_id":"940c346c-85bb-4b9c-ad3e-9d8a513c0e89","year":2009},"citing_paper":{"arxiv_id":"2509.00536","last_updated":"2026-04-11T14:36:29Z","snapshot_observed_at":"2026-08-01T22:50:03.240777Z","submitted_at":"2025-08-30T15:38:45Z","title":"Ground State Energy of Dilute Fermi Gases in 1D","version":2},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-05-18T19:29:21.545454Z"},"links":{"citing_paper":"/paper/2509.00536"},"observation_digest":"sha256:579b44d424cef1a4d0143b4e4cb74868832fef9224d51c0fc906c6353bdfb9b0","observation_id":"4287b5b2-428b-4640-a5fc-58954a1c3f7c","resolution":{"observed_at":"2026-05-18T19:31:48.289399Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-03T06:30:56.289259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-03T06:30:56.289259+00:00","source":"crossref"},{"observed_at":"2026-08-03T06:30:50.922721+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":"The energy of dilute Bose gases","venue":null,"work_id":"428dde26-5d51-4b3a-85ad-02125a62e752","year":2020},"citing_paper":{"arxiv_id":"2509.00536","last_updated":"2026-04-11T14:36:29Z","snapshot_observed_at":"2026-08-01T22:50:03.240777Z","submitted_at":"2025-08-30T15:38:45Z","title":"Ground State Energy of Dilute Fermi Gases in 1D","version":2},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-05-18T19:29:21.545454Z"},"links":{"citing_paper":"/paper/2509.00536"},"observation_digest":"sha256:f48486dc02527e0bf610579760a89dcf058435002ffe6ba03d6ab5b6011bca4b","observation_id":"84a7b9e7-d837-408e-870a-54cce3e871a1","resolution":{"observed_at":"2026-05-18T19:32:49.092382Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-03T06:30:56.289259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-03T06:30:56.289259+00:00","source":"crossref"},{"observed_at":"2026-08-03T06:30:50.922721+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":"A new second-order upper bound for the ground state energy of dilute Bose gases","venue":null,"work_id":"d4e6cab7-589a-4949-8195-7f4d42cab958","year":2021},"citing_paper":{"arxiv_id":"2509.00536","last_updated":"2026-04-11T14:36:29Z","snapshot_observed_at":"2026-08-01T22:50:03.240777Z","submitted_at":"2025-08-30T15:38:45Z","title":"Ground State Energy of Dilute Fermi Gases in 1D","version":2},"reference_index":6,"source":"pdf_text","source_observed_at":"2026-05-18T19:29:21.545454Z"},"links":{"citing_paper":"/paper/2509.00536"},"observation_digest":"sha256:8caa9fe603f98189e7889d9cfd1f2ede23bbb86756e6581e99172401afb86f00","observation_id":"9acfc80a-f4dc-4b3a-8e8f-4f865a789ed6","resolution":{"observed_at":"2026-05-18T19:31:48.286832Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-03T06:30:56.289259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-03T06:30:56.289259+00:00","source":"crossref"},{"observed_at":"2026-08-03T06:30:50.922721+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":"The energy of dilute Bose gases II: The general case","venue":null,"work_id":"5e09f212-cf2a-426f-9769-70fc0e4556d8","year":2023},"citing_paper":{"arxiv_id":"2509.00536","last_updated":"2026-04-11T14:36:29Z","snapshot_observed_at":"2026-08-01T22:50:03.240777Z","submitted_at":"2025-08-30T15:38:45Z","title":"Ground State Energy of Dilute Fermi Gases in 1D","version":2},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-05-18T19:29:21.545454Z"},"links":{"citing_paper":"/paper/2509.00536"},"observation_digest":"sha256:ae1b5de43f30b8340047160377b11024328af240d0313ea230025801c3a7c643","observation_id":"85492b2c-9106-4d48-8179-3409d35dd2c5","resolution":{"observed_at":"2026-05-18T19:32:49.058641Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-03T06:30:56.289259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-03T06:30:56.289259+00:00","source":"crossref"},{"observed_at":"2026-08-03T06:30:50.922721+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":"Upper bound for the ground state energy of a dilute Bose gas of hard spheres","venue":null,"work_id":"02c9ab94-7677-4647-971d-059a04b2082f","year":2024},"citing_paper":{"arxiv_id":"2509.00536","last_updated":"2026-04-11T14:36:29Z","snapshot_observed_at":"2026-08-01T22:50:03.240777Z","submitted_at":"2025-08-30T15:38:45Z","title":"Ground State Energy of Dilute Fermi Gases in 1D","version":2},"reference_index":8,"source":"pdf_text","source_observed_at":"2026-05-18T19:29:21.545454Z"},"links":{"citing_paper":"/paper/2509.00536"},"observation_digest":"sha256:702e2ebe54d1c81f4e669a56ac9a1eea45b7c2796a85e8d4b97baf073fd8ff69","observation_id":"8511c457-d606-4975-8d7c-9180dc224e37","resolution":{"observed_at":"2026-05-18T19:32:49.088197Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-03T06:30:56.289259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-03T06:30:56.289259+00:00","source":"crossref"},{"observed_at":"2026-08-03T06:30:50.922721+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2304.02405","last_updated":"2024-02-26T15:22:47Z","snapshot_observed_at":"2026-08-03T18:15:08.492041Z","submitted_at":"2023-04-05T12:28:06Z","title":"The free energy of dilute Bose gases at low temperatures","version":2},"cited_work":{"arxiv_id":"2304.02405","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2304.02405","snapshot_observed_at":"2026-07-02T04:36:35.914110Z","title":"The free energy of dilute Bose gases at low temperatures","venue":null,"work_id":"fd4ba4bc-d281-4f09-836b-bc420f6dba39","year":2024},"citing_paper":{"arxiv_id":"2509.00536","last_updated":"2026-04-11T14:36:29Z","snapshot_observed_at":"2026-08-01T22:50:03.240777Z","submitted_at":"2025-08-30T15:38:45Z","title":"Ground State Energy of Dilute Fermi Gases in 1D","version":2},"reference_index":9,"source":"pdf_text","source_observed_at":"2026-05-18T19:29:21.545454Z"},"links":{"cited_paper":"/paper/2304.02405","citing_paper":"/paper/2509.00536"},"observation_digest":"sha256:5813b4f7ca540d08fb69a33ee7206ac7db801460651f72ffe835c5e8965403f8","observation_id":"2e442d60-1ee9-4ab9-a804-ca598388c352","resolution":{"observed_at":"2026-05-18T19:31:47.094072Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-03T06:30:56.289259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-03T06:30:56.289259+00:00","source":"crossref"},{"observed_at":"2026-08-03T06:30:50.922721+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2405.03378","last_updated":"2024-05-06T11:32:39Z","snapshot_observed_at":"2026-07-06T18:10:20.988634Z","submitted_at":"2024-05-06T11:32:39Z","title":"Upper Bound for the Free Energy of Dilute Bose Gases at Low Temperature","version":1},"cited_work":{"arxiv_id":"2405.03378","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2405.03378","snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":"Upper bound for the free energy of dilute Bose gases at low temperature","venue":null,"work_id":"0f220f8f-d07d-4e8a-9767-75604387e224","year":2024},"citing_paper":{"arxiv_id":"2509.00536","last_updated":"2026-04-11T14:36:29Z","snapshot_observed_at":"2026-08-01T22:50:03.240777Z","submitted_at":"2025-08-30T15:38:45Z","title":"Ground State Energy of Dilute Fermi Gases in 1D","version":2},"reference_index":10,"source":"pdf_text","source_observed_at":"2026-05-18T19:29:21.545454Z"},"links":{"cited_paper":"/paper/2405.03378","citing_paper":"/paper/2509.00536"},"observation_digest":"sha256:2b96b281a5b50f9f0d92d9416d1fc6010536d72631242492a791755ca8b5ae7d","observation_id":"2b508640-268a-42e9-9984-ec7bb9e2f05d","resolution":{"observed_at":"2026-05-18T19:31:47.089576Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-03T06:30:56.289259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-03T06:30:56.289259+00:00","source":"crossref"},{"observed_at":"2026-08-03T06:30:50.922721+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2408.14222","last_updated":"2024-08-26T12:36:15Z","snapshot_observed_at":"2026-07-06T19:05:57.653074Z","submitted_at":"2024-08-26T12:36:15Z","title":"The free energy of dilute Bose gases at low temperatures interacting via strong potentials","version":1},"cited_work":{"arxiv_id":"2408.14222","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2408.14222","snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":"The free energy of dilute Bose gases at low temperatures interacting via strong potentials","venue":null,"work_id":"6c1a5705-88b0-4f05-8bd7-00787766f08c","year":2024},"citing_paper":{"arxiv_id":"2509.00536","last_updated":"2026-04-11T14:36:29Z","snapshot_observed_at":"2026-08-01T22:50:03.240777Z","submitted_at":"2025-08-30T15:38:45Z","title":"Ground State Energy of Dilute Fermi Gases in 1D","version":2},"reference_index":11,"source":"pdf_text","source_observed_at":"2026-05-18T19:29:21.545454Z"},"links":{"cited_paper":"/paper/2408.14222","citing_paper":"/paper/2509.00536"},"observation_digest":"sha256:d547367eefb2d475c488f9b63e9425734d2afe850fd765fe12616690f566a09e","observation_id":"e0d757e0-f0de-488d-a2e0-9d87bf7d6a2c","resolution":{"observed_at":"2026-05-18T19:31:47.107089Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-03T06:30:56.289259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-03T06:30:56.289259+00:00","source":"crossref"},{"observed_at":"2026-08-03T06:30:50.922721+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2506.04153","last_updated":"2025-06-04T16:50:56Z","snapshot_observed_at":"2026-07-06T21:36:40.449308Z","submitted_at":"2025-06-04T16:50:56Z","title":"Third Order Upper Bound for the Ground State Energy of the Dilute Bose Gas","version":1},"cited_work":{"arxiv_id":"2506.04153","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2506.04153","snapshot_observed_at":"2026-07-02T04:36:35.910169Z","title":"Third order upper bound for the ground state energy of the dilute Bose gas","venue":null,"work_id":"f32c1620-4b6f-48e9-9133-f9477e2feea3","year":2025},"citing_paper":{"arxiv_id":"2509.00536","last_updated":"2026-04-11T14:36:29Z","snapshot_observed_at":"2026-08-01T22:50:03.240777Z","submitted_at":"2025-08-30T15:38:45Z","title":"Ground State Energy of Dilute Fermi Gases in 1D","version":2},"reference_index":12,"source":"pdf_text","source_observed_at":"2026-05-18T19:29:21.545454Z"},"links":{"cited_paper":"/paper/2506.04153","citing_paper":"/paper/2509.00536"},"observation_digest":"sha256:846162faec1bdfcea9e10b9982d2e666abcdcec1c525e4920419b12206d655c1","observation_id":"43e66ea3-e651-4196-92b4-c8f00e33a4d9","resolution":{"observed_at":"2026-05-18T19:31:47.103208Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-03T06:30:56.289259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-03T06:30:56.289259+00:00","source":"crossref"},{"observed_at":"2026-08-03T06:30:50.922721+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":"Two-dimensional system of hard-core bosons","venue":null,"work_id":"7d26805b-1b2b-466a-8252-c6b41c34e000","year":1971},"citing_paper":{"arxiv_id":"2509.00536","last_updated":"2026-04-11T14:36:29Z","snapshot_observed_at":"2026-08-01T22:50:03.240777Z","submitted_at":"2025-08-30T15:38:45Z","title":"Ground State Energy of Dilute Fermi Gases in 1D","version":2},"reference_index":13,"source":"pdf_text","source_observed_at":"2026-05-18T19:29:21.545454Z"},"links":{"citing_paper":"/paper/2509.00536"},"observation_digest":"sha256:9262b97a0429e91511af31ba43139f2db2c2aa4b4cdc37fcb54d4e35d161c412","observation_id":"d6b03394-8cdc-4bbe-a189-b5839cc4d911","resolution":{"observed_at":"2026-05-18T19:32:49.077619Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-03T06:30:56.289259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-03T06:30:56.289259+00:00","source":"crossref"},{"observed_at":"2026-08-03T06:30:50.922721+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":"The ground state energy of a dilute two-dimensional Bose gas","venue":null,"work_id":"1a0c16ae-86c1-4e31-bd67-192a3c73c6fe","year":2001},"citing_paper":{"arxiv_id":"2509.00536","last_updated":"2026-04-11T14:36:29Z","snapshot_observed_at":"2026-08-01T22:50:03.240777Z","submitted_at":"2025-08-30T15:38:45Z","title":"Ground State Energy of Dilute Fermi Gases in 1D","version":2},"reference_index":14,"source":"pdf_text","source_observed_at":"2026-05-18T19:29:21.545454Z"},"links":{"citing_paper":"/paper/2509.00536"},"observation_digest":"sha256:804d30449516571ab8640ac90d1382136885a696ccbeaa126b34a32e08d06ea6","observation_id":"e32b5e06-6b39-406e-a4a2-cb5079def3ec","resolution":{"observed_at":"2026-05-18T19:32:49.058408Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-03T06:30:56.289259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-03T06:30:56.289259+00:00","source":"crossref"},{"observed_at":"2026-08-03T06:30:50.922721+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":"Ground state pressure and energy density of an interacting homogeneous Bose gas in two dimensions","venue":null,"work_id":"04bdbb43-7ff3-47c1-8d9c-f06d3aac01c4","year":2002},"citing_paper":{"arxiv_id":"2509.00536","last_updated":"2026-04-11T14:36:29Z","snapshot_observed_at":"2026-08-01T22:50:03.240777Z","submitted_at":"2025-08-30T15:38:45Z","title":"Ground State Energy of Dilute Fermi Gases in 1D","version":2},"reference_index":15,"source":"pdf_text","source_observed_at":"2026-05-18T19:29:21.545454Z"},"links":{"citing_paper":"/paper/2509.00536"},"observation_digest":"sha256:4b26f210fcde56269b2173fd1a4235f5f9ffd60b1b7db1b92d86b8218775fba9","observation_id":"6712ddbb-943e-4cfe-83d6-2e00078457d6","resolution":{"observed_at":"2026-05-18T19:32:49.108632Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-03T06:30:56.289259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-03T06:30:56.289259+00:00","source":"crossref"},{"observed_at":"2026-08-03T06:30:50.922721+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":"Ground state energy of the two-dimensional weakly interacting Bose gas: first correction beyond Bogoliubov theory","venue":null,"work_id":"29d5e1cb-ec9e-433e-8c77-e0ac0325d6d2","year":2009},"citing_paper":{"arxiv_id":"2509.00536","last_updated":"2026-04-11T14:36:29Z","snapshot_observed_at":"2026-08-01T22:50:03.240777Z","submitted_at":"2025-08-30T15:38:45Z","title":"Ground State Energy of Dilute Fermi Gases in 1D","version":2},"reference_index":16,"source":"pdf_text","source_observed_at":"2026-05-18T19:29:21.545454Z"},"links":{"citing_paper":"/paper/2509.00536"},"observation_digest":"sha256:4e022d5ec76e330dd9b4717ee6daafac75cdd088bbf55db839afdf244350ab0f","observation_id":"097ab830-f195-4fa9-b90e-a0390721593e","resolution":{"observed_at":"2026-05-18T19:32:49.067727Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-03T06:30:56.289259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-03T06:30:56.289259+00:00","source":"crossref"},{"observed_at":"2026-08-03T06:30:50.922721+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":"Ground state energy of a dilute two-dimensional Bose gas from the Bogoliubov free energy functional","venue":null,"work_id":"7c24e6cc-677e-48fd-ab70-a251a455b10d","year":2019},"citing_paper":{"arxiv_id":"2509.00536","last_updated":"2026-04-11T14:36:29Z","snapshot_observed_at":"2026-08-01T22:50:03.240777Z","submitted_at":"2025-08-30T15:38:45Z","title":"Ground State Energy of Dilute Fermi Gases in 1D","version":2},"reference_index":17,"source":"pdf_text","source_observed_at":"2026-05-18T19:29:21.545454Z"},"links":{"citing_paper":"/paper/2509.00536"},"observation_digest":"sha256:8115bcb304b5c131f848d66a9ce44aeb4a4f8a0c0da3d9a45874544a28c745ff","observation_id":"287b02eb-c08d-4eb6-9ee6-ff63688bd4dc","resolution":{"observed_at":"2026-05-18T19:32:48.986393Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-03T06:30:56.289259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-03T06:30:56.289259+00:00","source":"crossref"},{"observed_at":"2026-08-03T06:30:50.922721+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":"The ground state energy of a two-dimensional Bose gas","venue":null,"work_id":"4aacf9ff-a86e-48b9-86a5-1697c97a59aa","year":2024},"citing_paper":{"arxiv_id":"2509.00536","last_updated":"2026-04-11T14:36:29Z","snapshot_observed_at":"2026-08-01T22:50:03.240777Z","submitted_at":"2025-08-30T15:38:45Z","title":"Ground State Energy of Dilute Fermi Gases in 1D","version":2},"reference_index":18,"source":"pdf_text","source_observed_at":"2026-05-18T19:29:21.545454Z"},"links":{"citing_paper":"/paper/2509.00536"},"observation_digest":"sha256:b8fa5431def41857e4a77021ae7412d24837bc3c0634c6f8c1156e6e9dd6d0bb","observation_id":"62629794-9be2-4f04-b334-28183dc498cb","resolution":{"observed_at":"2026-05-18T19:32:49.070619Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-03T06:30:56.289259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-03T06:30:56.289259+00:00","source":"crossref"},{"observed_at":"2026-08-03T06:30:50.922721+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":"Lower bounds on the energy of the Bose gas","venue":null,"work_id":"313b027c-3084-42bf-a70d-89d41f54341b","year":2024},"citing_paper":{"arxiv_id":"2509.00536","last_updated":"2026-04-11T14:36:29Z","snapshot_observed_at":"2026-08-01T22:50:03.240777Z","submitted_at":"2025-08-30T15:38:45Z","title":"Ground State Energy of Dilute Fermi Gases in 1D","version":2},"reference_index":19,"source":"pdf_text","source_observed_at":"2026-05-18T19:29:21.545454Z"},"links":{"citing_paper":"/paper/2509.00536"},"observation_digest":"sha256:9ce69b11f1683add2cb349dce6a1c72a38b650f5037fd251846630c0cce2230e","observation_id":"bcc09f19-6caa-411b-8a6f-dacc1189817d","resolution":{"observed_at":"2026-05-18T19:32:49.120789Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-03T06:30:56.289259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-03T06:30:56.289259+00:00","source":"crossref"},{"observed_at":"2026-08-03T06:30:50.922721+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":"Ground-state energy of the low-density Fermi gas","venue":null,"work_id":"0ff129f9-bedc-48aa-84ad-a18ff50d46a4","year":2005},"citing_paper":{"arxiv_id":"2509.00536","last_updated":"2026-04-11T14:36:29Z","snapshot_observed_at":"2026-08-01T22:50:03.240777Z","submitted_at":"2025-08-30T15:38:45Z","title":"Ground State Energy of Dilute Fermi Gases in 1D","version":2},"reference_index":20,"source":"pdf_text","source_observed_at":"2026-05-18T19:29:21.545454Z"},"links":{"citing_paper":"/paper/2509.00536"},"observation_digest":"sha256:70af74bfb01199c1a55f09244adc277133e86d7b50481dfcc6c45bfe1d514351","observation_id":"ea229eed-8e3a-4677-9605-60f0af5cae24","resolution":{"observed_at":"2026-05-18T19:32:49.027579Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-03T06:30:56.289259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-03T06:30:56.289259+00:00","source":"crossref"},{"observed_at":"2026-08-03T06:30:50.922721+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":"Ground state energy of the dilute spin-polarized Fermi gas: upper bound via cluster expansion","venue":null,"work_id":"cae3836c-5012-4d09-a3e7-b30201c8e7ea","year":2024},"citing_paper":{"arxiv_id":"2509.00536","last_updated":"2026-04-11T14:36:29Z","snapshot_observed_at":"2026-08-01T22:50:03.240777Z","submitted_at":"2025-08-30T15:38:45Z","title":"Ground State Energy of Dilute Fermi Gases in 1D","version":2},"reference_index":21,"source":"pdf_text","source_observed_at":"2026-05-18T19:29:21.545454Z"},"links":{"citing_paper":"/paper/2509.00536"},"observation_digest":"sha256:ee5c4422390d10f6d75db3b5240d3ee1bd12d0108b05f6b068aef71842c953e7","observation_id":"2f1bf341-0f0d-47e1-acf5-58c1843a2af6","resolution":{"observed_at":"2026-05-18T19:32:49.063225Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-03T06:30:56.289259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-03T06:30:56.289259+00:00","source":"crossref"},{"observed_at":"2026-08-03T06:30:50.922721+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":"Pressure of a dilute spin-polarized Fermi gas: Lower bound","venue":null,"work_id":"442d24be-c795-4307-ae25-c507413f1db6","year":2024},"citing_paper":{"arxiv_id":"2509.00536","last_updated":"2026-04-11T14:36:29Z","snapshot_observed_at":"2026-08-01T22:50:03.240777Z","submitted_at":"2025-08-30T15:38:45Z","title":"Ground State Energy of Dilute Fermi Gases in 1D","version":2},"reference_index":22,"source":"pdf_text","source_observed_at":"2026-05-18T19:29:21.545454Z"},"links":{"citing_paper":"/paper/2509.00536"},"observation_digest":"sha256:7b929240d8f2b8ecb7fc7dfb05493d68c40280929dd18e358276407575e833c3","observation_id":"7255e8e4-9f6b-4ae2-bf9b-4f4894e949ed","resolution":{"observed_at":"2026-05-18T19:31:48.276809Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-03T06:30:56.289259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-03T06:30:56.289259+00:00","source":"crossref"},{"observed_at":"2026-08-03T06:30:50.922721+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2409.17914","last_updated":"2026-02-23T12:31:57Z","snapshot_observed_at":"2026-08-01T22:52:35.765807Z","submitted_at":"2024-09-26T15:00:19Z","title":"The Huang-Yang formula for the low-density Fermi gas: upper bound","version":2},"cited_work":{"arxiv_id":"2409.17914","doi":null,"metadata_source":"pith","pith_arxiv_id":"2409.17914","snapshot_observed_at":"2026-07-02T05:16:40.032099Z","title":"The Huang-Yang formula for the low-density Fermi gas: upper bound","venue":"math-ph","work_id":"a27155b9-7c7c-4765-a0a0-e2abfa3eaccb","year":2024},"citing_paper":{"arxiv_id":"2509.00536","last_updated":"2026-04-11T14:36:29Z","snapshot_observed_at":"2026-08-01T22:50:03.240777Z","submitted_at":"2025-08-30T15:38:45Z","title":"Ground State Energy of Dilute Fermi Gases in 1D","version":2},"reference_index":23,"source":"pdf_text","source_observed_at":"2026-05-18T19:29:21.545454Z"},"links":{"cited_paper":"/paper/2409.17914","citing_paper":"/paper/2509.00536"},"observation_digest":"sha256:680ffe20d84617bb2beb63eb861effb697937b369236f160a30b82c8ad2fc2c5","observation_id":"e438c805-d264-455a-9be2-4991fa35ebf6","resolution":{"observed_at":"2026-06-25T02:17:29.061340Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-03T06:30:56.289259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-03T06:30:56.289259+00:00","source":"crossref"},{"observed_at":"2026-08-03T06:30:50.922721+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2505.22340","last_updated":"2025-05-28T13:25:07Z","snapshot_observed_at":"2026-08-02T11:11:54.373117Z","submitted_at":"2025-05-28T13:25:07Z","title":"The Huang-Yang conjecture for the low-density Fermi gas","version":1},"cited_work":{"arxiv_id":"2505.22340","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2505.22340","snapshot_observed_at":"2026-07-02T05:16:40.053271Z","title":"The Huang-Yang conjecture for the low-density Fermi gas","venue":null,"work_id":"de2da937-eed8-40c2-9bb4-2f62e5706c98","year":2025},"citing_paper":{"arxiv_id":"2509.00536","last_updated":"2026-04-11T14:36:29Z","snapshot_observed_at":"2026-08-01T22:50:03.240777Z","submitted_at":"2025-08-30T15:38:45Z","title":"Ground State Energy of Dilute Fermi Gases in 1D","version":2},"reference_index":24,"source":"pdf_text","source_observed_at":"2026-05-18T19:29:21.545454Z"},"links":{"cited_paper":"/paper/2505.22340","citing_paper":"/paper/2509.00536"},"observation_digest":"sha256:c40dbd537047b0f976f168d8242938d2a223b668f9290f3ead23e11218fc6345","observation_id":"b59cc35b-c147-41f0-ab9d-be2acfcbcaac","resolution":{"observed_at":"2026-05-18T19:31:47.080832Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-03T06:30:56.289259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-03T06:30:56.289259+00:00","source":"crossref"},{"observed_at":"2026-08-03T06:30:50.922721+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2505.23136","last_updated":"2025-06-12T13:51:32Z","snapshot_observed_at":"2026-07-06T21:32:43.441417Z","submitted_at":"2025-05-29T06:22:28Z","title":"The second order Huang-Yang approximation to the Fermi thermodynamic pressure","version":2},"cited_work":{"arxiv_id":"2505.23136","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2505.23136","snapshot_observed_at":"2026-07-02T05:16:40.034897Z","title":"The second order Huang-Yang approximation to the Fermi thermodynamic pressure","venue":null,"work_id":"83d93768-48a2-4605-ac14-48ae178d9e1b","year":2025},"citing_paper":{"arxiv_id":"2509.00536","last_updated":"2026-04-11T14:36:29Z","snapshot_observed_at":"2026-08-01T22:50:03.240777Z","submitted_at":"2025-08-30T15:38:45Z","title":"Ground State Energy of Dilute Fermi Gases in 1D","version":2},"reference_index":25,"source":"pdf_text","source_observed_at":"2026-05-18T19:29:21.545454Z"},"links":{"cited_paper":"/paper/2505.23136","citing_paper":"/paper/2509.00536"},"observation_digest":"sha256:e8e639f0790ac5e168d3c573d726db6cc5613f0d6d3e2e62c7dc84f4fe058189","observation_id":"55e096da-e2e9-4199-a86a-0069c3739745","resolution":{"observed_at":"2026-05-18T19:31:47.098304Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-03T06:30:56.289259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-03T06:30:56.289259+00:00","source":"crossref"},{"observed_at":"2026-08-03T06:30:50.922721+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":"Ground state energy of dilute Bose gases in 1D","venue":null,"work_id":"4e83b156-319b-48c5-8330-be28ac0937ac","year":2025},"citing_paper":{"arxiv_id":"2509.00536","last_updated":"2026-04-11T14:36:29Z","snapshot_observed_at":"2026-08-01T22:50:03.240777Z","submitted_at":"2025-08-30T15:38:45Z","title":"Ground State Energy of Dilute Fermi Gases in 1D","version":2},"reference_index":26,"source":"pdf_text","source_observed_at":"2026-05-18T19:29:21.545454Z"},"links":{"citing_paper":"/paper/2509.00536"},"observation_digest":"sha256:4f0273f9ee27aeaba430f3720f9394f567c9bef01ad1a288317a61933ef95908","observation_id":"62a4deb4-2b11-4a23-a3b8-7922a0e2d050","resolution":{"observed_at":"2026-05-18T19:31:48.238367Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-03T06:30:56.289259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-03T06:30:56.289259+00:00","source":"crossref"},{"observed_at":"2026-08-03T06:30:50.922721+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":"Relationship between systems of impenetrable bosons and fermions in one dimension","venue":null,"work_id":"56800199-d3e0-4f48-a609-6815b004b11d","year":1960},"citing_paper":{"arxiv_id":"2509.00536","last_updated":"2026-04-11T14:36:29Z","snapshot_observed_at":"2026-08-01T22:50:03.240777Z","submitted_at":"2025-08-30T15:38:45Z","title":"Ground State Energy of Dilute Fermi Gases in 1D","version":2},"reference_index":27,"source":"pdf_text","source_observed_at":"2026-05-18T19:29:21.545454Z"},"links":{"citing_paper":"/paper/2509.00536"},"observation_digest":"sha256:4185fc8e9a5cce487c5dcfcbc7a456a442db42347feb11c98824bf7041da2c6e","observation_id":"503a98d6-04d4-4f2c-9e5f-74e3b7072f41","resolution":{"observed_at":"2026-05-18T19:31:48.231960Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-03T06:30:56.289259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-03T06:30:56.289259+00:00","source":"crossref"},{"observed_at":"2026-08-03T06:30:50.922721+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":"Exact analysis of an interacting Bose gas. i. the general solution and the ground state","venue":null,"work_id":"ba1f68aa-8e9d-43c5-9c39-74cbd60bcb39","year":1963},"citing_paper":{"arxiv_id":"2509.00536","last_updated":"2026-04-11T14:36:29Z","snapshot_observed_at":"2026-08-01T22:50:03.240777Z","submitted_at":"2025-08-30T15:38:45Z","title":"Ground State Energy of Dilute Fermi Gases in 1D","version":2},"reference_index":28,"source":"pdf_text","source_observed_at":"2026-05-18T19:29:21.545454Z"},"links":{"citing_paper":"/paper/2509.00536"},"observation_digest":"sha256:ba351d4d8c95654e19806f1c04bec1fcbd6a7db092cf811c8a6ac6c7b8557b4c","observation_id":"f53c3d4f-cff0-45df-bbd1-492b5b87f3c3","resolution":{"observed_at":"2026-05-18T19:31:48.227343Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-03T06:30:56.289259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-03T06:30:56.289259+00:00","source":"crossref"},{"observed_at":"2026-08-03T06:30:50.922721+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":"Low- dimensional weakly interacting Bose gases: Nonuniversal equations of state","venue":null,"work_id":"1148874c-b10b-4d39-ad06-5ac5f6a57220","year":2010},"citing_paper":{"arxiv_id":"2509.00536","last_updated":"2026-04-11T14:36:29Z","snapshot_observed_at":"2026-08-01T22:50:03.240777Z","submitted_at":"2025-08-30T15:38:45Z","title":"Ground State Energy of Dilute Fermi Gases in 1D","version":2},"reference_index":29,"source":"pdf_text","source_observed_at":"2026-05-18T19:29:21.545454Z"},"links":{"citing_paper":"/paper/2509.00536"},"observation_digest":"sha256:2f38b1f2fee1e2485feca655b868390af003a79809fda94ca534a5b1105ad7c1","observation_id":"44459368-6ec8-4cad-889e-a5fe68da8c9c","resolution":{"observed_at":"2026-05-18T19:31:48.229490Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-03T06:30:56.289259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-03T06:30:56.289259+00:00","source":"crossref"},{"observed_at":"2026-08-03T06:30:50.922721+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":"Zur Theorie der Metalle","venue":null,"work_id":"ec775c80-1ac5-46e1-91e9-c85f0af5f6c7","year":1931},"citing_paper":{"arxiv_id":"2509.00536","last_updated":"2026-04-11T14:36:29Z","snapshot_observed_at":"2026-08-01T22:50:03.240777Z","submitted_at":"2025-08-30T15:38:45Z","title":"Ground State Energy of Dilute Fermi Gases in 1D","version":2},"reference_index":30,"source":"pdf_text","source_observed_at":"2026-05-18T19:29:21.545454Z"},"links":{"citing_paper":"/paper/2509.00536"},"observation_digest":"sha256:eb945f9abc23538649396690c55bb4404cb3383ef2b552a64d715140e94fdd34","observation_id":"59733d49-c7e2-4861-9403-f4f27b52c6ab","resolution":{"observed_at":"2026-05-18T19:31:48.234020Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-03T06:30:56.289259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-03T06:30:56.289259+00:00","source":"crossref"},{"observed_at":"2026-08-03T06:30:50.922721+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":"¨Uber das Austauschproblem eines Kristalles","venue":null,"work_id":"45756ab7-8548-41bf-847e-e9876aa60c88","year":1938},"citing_paper":{"arxiv_id":"2509.00536","last_updated":"2026-04-11T14:36:29Z","snapshot_observed_at":"2026-08-01T22:50:03.240777Z","submitted_at":"2025-08-30T15:38:45Z","title":"Ground State Energy of Dilute Fermi Gases in 1D","version":2},"reference_index":31,"source":"pdf_text","source_observed_at":"2026-05-18T19:29:21.545454Z"},"links":{"citing_paper":"/paper/2509.00536"},"observation_digest":"sha256:4aea66f3a75f7adc740237f476a2d61fb1ee0b2bf18954c644303da4988428ce","observation_id":"c489a824-ea05-4ef9-8857-67ee1e0a58fd","resolution":{"observed_at":"2026-05-18T19:31:48.236186Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-03T06:30:56.289259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-03T06:30:56.289259+00:00","source":"crossref"},{"observed_at":"2026-08-03T06:30:50.922721+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":"Lattice gas with nearest-neighbor interaction in one dimension with arbitrary statistics","venue":null,"work_id":"20b2dd2b-1d2a-4b8f-9cff-d696b631d871","year":1974},"citing_paper":{"arxiv_id":"2509.00536","last_updated":"2026-04-11T14:36:29Z","snapshot_observed_at":"2026-08-01T22:50:03.240777Z","submitted_at":"2025-08-30T15:38:45Z","title":"Ground State Energy of Dilute Fermi Gases in 1D","version":2},"reference_index":32,"source":"pdf_text","source_observed_at":"2026-05-18T19:29:21.545454Z"},"links":{"citing_paper":"/paper/2509.00536"},"observation_digest":"sha256:7f6b788dafaa4afc7b25ea897722067846d967931e87d9f0b03ffeae21b117e7","observation_id":"afe52afb-6920-4f9f-8f1b-e400589b5652","resolution":{"observed_at":"2026-05-18T19:31:48.240739Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-03T06:30:56.289259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-03T06:30:56.289259+00:00","source":"crossref"},{"observed_at":"2026-08-03T06:30:50.922721+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":"Model for a multicomponent quantum system","venue":null,"work_id":"a67a37ec-9500-42b2-8453-253cdf10643f","year":1975},"citing_paper":{"arxiv_id":"2509.00536","last_updated":"2026-04-11T14:36:29Z","snapshot_observed_at":"2026-08-01T22:50:03.240777Z","submitted_at":"2025-08-30T15:38:45Z","title":"Ground State Energy of Dilute Fermi Gases in 1D","version":2},"reference_index":33,"source":"pdf_text","source_observed_at":"2026-05-18T19:29:21.545454Z"},"links":{"citing_paper":"/paper/2509.00536"},"observation_digest":"sha256:776194589b5f662219aec1124d14afd2aead1e597193ecc1cbba1e779e11b46e","observation_id":"a7c6f37d-ba72-4e5c-be61-31e7867cb9fc","resolution":{"observed_at":"2026-05-18T19:31:48.224965Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-03T06:30:56.289259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-03T06:30:56.289259+00:00","source":"crossref"},{"observed_at":"2026-08-03T06:30:50.922721+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":"Strongly interacting confined quantum systems in one dimension","venue":null,"work_id":"9f6c1dd5-c451-4097-a5af-063b77f25e59","year":2014},"citing_paper":{"arxiv_id":"2509.00536","last_updated":"2026-04-11T14:36:29Z","snapshot_observed_at":"2026-08-01T22:50:03.240777Z","submitted_at":"2025-08-30T15:38:45Z","title":"Ground State Energy of Dilute Fermi Gases in 1D","version":2},"reference_index":34,"source":"pdf_text","source_observed_at":"2026-05-18T19:29:21.545454Z"},"links":{"citing_paper":"/paper/2509.00536"},"observation_digest":"sha256:d861025aa02d76b42da56c30d8b60544c69825b4d3d563efdbf5c5eda53da801","observation_id":"0f893412-8c7d-43dd-95f3-1d73cb45f2b7","resolution":{"observed_at":"2026-05-18T19:31:48.243366Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-03T06:30:56.289259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-03T06:30:56.289259+00:00","source":"crossref"},{"observed_at":"2026-08-03T06:30:50.922721+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":"Quantum magnetism without lattices in strongly interacting one-dimensional spinor gases","venue":null,"work_id":"2a343a57-bfdf-4901-bf62-04133db0e7e3","year":2014},"citing_paper":{"arxiv_id":"2509.00536","last_updated":"2026-04-11T14:36:29Z","snapshot_observed_at":"2026-08-01T22:50:03.240777Z","submitted_at":"2025-08-30T15:38:45Z","title":"Ground State Energy of Dilute Fermi Gases in 1D","version":2},"reference_index":35,"source":"pdf_text","source_observed_at":"2026-05-18T19:29:21.545454Z"},"links":{"citing_paper":"/paper/2509.00536"},"observation_digest":"sha256:87c8aa1131c6af3a8502607282ff84c84a329695e29b8abdb6f6b702c884c714","observation_id":"6fdbfe6c-d7da-4ba7-b0ea-abd957e12dd2","resolution":{"observed_at":"2026-05-18T19:31:48.283926Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-03T06:30:56.289259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-03T06:30:56.289259+00:00","source":"crossref"},{"observed_at":"2026-08-03T06:30:50.922721+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":"Strongly interacting quantum gases in one-dimensional traps","venue":null,"work_id":"2baeb8d7-e94e-48b5-802f-e9c51b9e91a7","year":2015},"citing_paper":{"arxiv_id":"2509.00536","last_updated":"2026-04-11T14:36:29Z","snapshot_observed_at":"2026-08-01T22:50:03.240777Z","submitted_at":"2025-08-30T15:38:45Z","title":"Ground State Energy of Dilute Fermi Gases in 1D","version":2},"reference_index":36,"source":"pdf_text","source_observed_at":"2026-05-18T19:29:21.545454Z"},"links":{"citing_paper":"/paper/2509.00536"},"observation_digest":"sha256:a8cb3d5c32cd07e22f60a6574a2a90d71a8e0a3d8bbefdb7d16f6b82db789744","observation_id":"36362057-6dba-4c33-aea0-0cf26e558c35","resolution":{"observed_at":"2026-05-18T19:32:49.104906Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-03T06:30:56.289259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-03T06:30:56.289259+00:00","source":"crossref"},{"observed_at":"2026-08-03T06:30:50.922721+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":"Strong-coupling ansatz for the one-dimensional Fermi gas in a harmonic potential","venue":null,"work_id":"780b4ebb-cd1a-4500-b7b1-3f19f3c16caa","year":2015},"citing_paper":{"arxiv_id":"2509.00536","last_updated":"2026-04-11T14:36:29Z","snapshot_observed_at":"2026-08-01T22:50:03.240777Z","submitted_at":"2025-08-30T15:38:45Z","title":"Ground State Energy of Dilute Fermi Gases in 1D","version":2},"reference_index":37,"source":"pdf_text","source_observed_at":"2026-05-18T19:29:21.545454Z"},"links":{"citing_paper":"/paper/2509.00536"},"observation_digest":"sha256:a7fbda6b4dd67d4f23b59e454564b93c976916a6b84ec23333a8751c7e25c3d4","observation_id":"686e7e77-ceae-42a8-9ac5-ffd283be9d3b","resolution":{"observed_at":"2026-05-18T19:32:49.063555Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-03T06:30:56.289259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-03T06:30:56.289259+00:00","source":"crossref"},{"observed_at":"2026-08-03T06:30:50.922721+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":"Fermi gases in one dimension: From Bethe ansatz to experiments","venue":null,"work_id":"3e6536fd-85a2-4922-849e-108d24d5ffde","year":2013},"citing_paper":{"arxiv_id":"2509.00536","last_updated":"2026-04-11T14:36:29Z","snapshot_observed_at":"2026-08-01T22:50:03.240777Z","submitted_at":"2025-08-30T15:38:45Z","title":"Ground State Energy of Dilute Fermi Gases in 1D","version":2},"reference_index":38,"source":"pdf_text","source_observed_at":"2026-05-18T19:29:21.545454Z"},"links":{"citing_paper":"/paper/2509.00536"},"observation_digest":"sha256:13c3316a4faead54663b14ee0868a97c17832a17080d8260999cd7787f4a56b0","observation_id":"00943e7c-7013-46ae-a5a4-ad1ab9ce97b4","resolution":{"observed_at":"2026-05-18T19:32:49.040441Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-03T06:30:56.289259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-03T06:30:56.289259+00:00","source":"crossref"},{"observed_at":"2026-08-03T06:30:50.922721+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":"Strongly interacting trapped one-dimensional quantum gases: Exact solution","venue":null,"work_id":"85bb80be-fa55-4902-a0a0-30b99b6d5c58","year":2022},"citing_paper":{"arxiv_id":"2509.00536","last_updated":"2026-04-11T14:36:29Z","snapshot_observed_at":"2026-08-01T22:50:03.240777Z","submitted_at":"2025-08-30T15:38:45Z","title":"Ground State Energy of Dilute Fermi Gases in 1D","version":2},"reference_index":39,"source":"pdf_text","source_observed_at":"2026-05-18T19:29:21.545454Z"},"links":{"citing_paper":"/paper/2509.00536"},"observation_digest":"sha256:1cdfd444ab6ede2ca60d56ef5b4e399075adc36d59817acbf0639b70d3eb1dfd","observation_id":"c86bb8be-954b-4363-9065-344a268785b5","resolution":{"observed_at":"2026-05-18T19:32:49.040063Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-03T06:30:56.289259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-03T06:30:56.289259+00:00","source":"crossref"},{"observed_at":"2026-08-03T06:30:50.922721+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":"Many-body physics with ultracold gases","venue":null,"work_id":"62c419cc-160f-477f-a689-5a5c4392aa21","year":2008},"citing_paper":{"arxiv_id":"2509.00536","last_updated":"2026-04-11T14:36:29Z","snapshot_observed_at":"2026-08-01T22:50:03.240777Z","submitted_at":"2025-08-30T15:38:45Z","title":"Ground State Energy of Dilute Fermi Gases in 1D","version":2},"reference_index":40,"source":"pdf_text","source_observed_at":"2026-05-18T19:29:21.545454Z"},"links":{"citing_paper":"/paper/2509.00536"},"observation_digest":"sha256:18ae0f9f63aed600a8a1d90d81508ef0c6ae00a0f12abcc478bc04570defaa94","observation_id":"fde37ce7-e8ff-4a42-b2f3-dd0247f27828","resolution":{"observed_at":"2026-05-18T19:32:49.082140Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-03T06:30:56.289259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-03T06:30:56.289259+00:00","source":"crossref"},{"observed_at":"2026-08-03T06:30:50.922721+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":"Yang-Gaudin model: A paradigm of many-body physics","venue":null,"work_id":"6d651140-f550-4883-8d67-b7a901c77e46","year":2022},"citing_paper":{"arxiv_id":"2509.00536","last_updated":"2026-04-11T14:36:29Z","snapshot_observed_at":"2026-08-01T22:50:03.240777Z","submitted_at":"2025-08-30T15:38:45Z","title":"Ground State Energy of Dilute Fermi Gases in 1D","version":2},"reference_index":41,"source":"pdf_text","source_observed_at":"2026-05-18T19:29:21.545454Z"},"links":{"citing_paper":"/paper/2509.00536"},"observation_digest":"sha256:b83933658e1c6cbd092d90d249024dcf7351e8d21277d06502f6b62a58b45476","observation_id":"0318e867-d062-4fc9-9aad-e0051e217a15","resolution":{"observed_at":"2026-05-18T19:32:49.096335Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-03T06:30:56.289259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-03T06:30:56.289259+00:00","source":"crossref"},{"observed_at":"2026-08-03T06:30:50.922721+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":"Some exact results for the many-body problem in one dimension with repul- sive delta-function interaction","venue":null,"work_id":"21422bee-54f6-4db3-8acd-c6c30e2dc564","year":1967},"citing_paper":{"arxiv_id":"2509.00536","last_updated":"2026-04-11T14:36:29Z","snapshot_observed_at":"2026-08-01T22:50:03.240777Z","submitted_at":"2025-08-30T15:38:45Z","title":"Ground State Energy of Dilute Fermi Gases in 1D","version":2},"reference_index":42,"source":"pdf_text","source_observed_at":"2026-05-18T19:29:21.545454Z"},"links":{"citing_paper":"/paper/2509.00536"},"observation_digest":"sha256:2b67b2913d4ebda2573f1fd9d1f8d7cf9051957401bbd4e47b6c092198fdde8a","observation_id":"e7c03e6d-183b-4378-bdd2-fb331d48ce7c","resolution":{"observed_at":"2026-05-18T19:32:49.044427Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-03T06:30:56.289259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-03T06:30:56.289259+00:00","source":"crossref"},{"observed_at":"2026-08-03T06:30:50.922721+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":"Un systeme a une dimension de fermions en interaction","venue":null,"work_id":"2a8ddbc0-5df5-48f9-838f-53af88410809","year":1967},"citing_paper":{"arxiv_id":"2509.00536","last_updated":"2026-04-11T14:36:29Z","snapshot_observed_at":"2026-08-01T22:50:03.240777Z","submitted_at":"2025-08-30T15:38:45Z","title":"Ground State Energy of Dilute Fermi Gases in 1D","version":2},"reference_index":43,"source":"pdf_text","source_observed_at":"2026-05-18T19:29:21.545454Z"},"links":{"citing_paper":"/paper/2509.00536"},"observation_digest":"sha256:eb73b4879b3be2ca38f791a651fc47b347096d3b4d9849564cba354c7b776410","observation_id":"099cf9a2-8bdc-4d7e-b76a-6af17230d868","resolution":{"observed_at":"2026-05-18T19:32:49.006118Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-03T06:30:56.289259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-03T06:30:56.289259+00:00","source":"crossref"},{"observed_at":"2026-08-03T06:30:50.922721+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":"Further results for the many-body problem in one dimension","venue":null,"work_id":"f0aca59a-65d7-4e2c-a314-2248b461dbfb","year":1968},"citing_paper":{"arxiv_id":"2509.00536","last_updated":"2026-04-11T14:36:29Z","snapshot_observed_at":"2026-08-01T22:50:03.240777Z","submitted_at":"2025-08-30T15:38:45Z","title":"Ground State Energy of Dilute Fermi Gases in 1D","version":2},"reference_index":44,"source":"pdf_text","source_observed_at":"2026-05-18T19:29:21.545454Z"},"links":{"citing_paper":"/paper/2509.00536"},"observation_digest":"sha256:d95ae079503c4151e2c08e5f7a057eb3f5a515200234b269e3b53e2de55e9257","observation_id":"1dc5ab83-9b44-43c4-82c2-b91db209ad3e","resolution":{"observed_at":"2026-05-18T19:32:49.074891Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-03T06:30:56.289259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-03T06:30:56.289259+00:00","source":"crossref"},{"observed_at":"2026-08-03T06:30:50.922721+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":"Bethe-ansatz wave function, momentum distribution, and spin correlation in the one-dimensional strongly correlated Hubbard model","venue":null,"work_id":"a66b9429-af4f-4b80-bf84-318515913504","year":1990},"citing_paper":{"arxiv_id":"2509.00536","last_updated":"2026-04-11T14:36:29Z","snapshot_observed_at":"2026-08-01T22:50:03.240777Z","submitted_at":"2025-08-30T15:38:45Z","title":"Ground State Energy of Dilute Fermi Gases in 1D","version":2},"reference_index":45,"source":"pdf_text","source_observed_at":"2026-05-18T19:29:21.545454Z"},"links":{"citing_paper":"/paper/2509.00536"},"observation_digest":"sha256:4804aebc2d28ff74eefa47f6d540e45affe984cb22452b5c3f1d5b10a6ad8584","observation_id":"bf575b4a-dd41-49dc-ba1c-203144eaab1d","resolution":{"observed_at":"2026-05-18T19:32:49.003581Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-03T06:30:56.289259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-03T06:30:56.289259+00:00","source":"crossref"},{"observed_at":"2026-08-03T06:30:50.922721+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":"Absence of Mott transition in an exact solution of the short- range, one-band model in one dimension","venue":null,"work_id":"4909d2ce-8b81-4068-9e9b-6f0b0e867667","year":1968},"citing_paper":{"arxiv_id":"2509.00536","last_updated":"2026-04-11T14:36:29Z","snapshot_observed_at":"2026-08-01T22:50:03.240777Z","submitted_at":"2025-08-30T15:38:45Z","title":"Ground State Energy of Dilute Fermi Gases in 1D","version":2},"reference_index":46,"source":"pdf_text","source_observed_at":"2026-05-18T19:29:21.545454Z"},"links":{"citing_paper":"/paper/2509.00536"},"observation_digest":"sha256:48daf8709909578009557df35c1c53b39d5fbef0c69ebca455305c373c1b97da","observation_id":"fbee327b-3fef-44c0-9578-49508dba6ac9","resolution":{"observed_at":"2026-05-18T19:32:49.036160Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-03T06:30:56.289259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-03T06:30:56.289259+00:00","source":"crossref"},{"observed_at":"2026-08-03T06:30:50.922721+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":"Ferromagnetic behavior in the strongly interacting two-component Bose gas","venue":null,"work_id":"9cf40fe3-cd38-4c4d-b2dd-af6a22a721dd","year":2007},"citing_paper":{"arxiv_id":"2509.00536","last_updated":"2026-04-11T14:36:29Z","snapshot_observed_at":"2026-08-01T22:50:03.240777Z","submitted_at":"2025-08-30T15:38:45Z","title":"Ground State Energy of Dilute Fermi Gases in 1D","version":2},"reference_index":47,"source":"pdf_text","source_observed_at":"2026-05-18T19:29:21.545454Z"},"links":{"citing_paper":"/paper/2509.00536"},"observation_digest":"sha256:c7025121e63bee721f688a9412478c706bcead5edd20a5c3dcb70484a3035666","observation_id":"08dca9ec-23b1-47cd-9114-1d53f2783830","resolution":{"observed_at":"2026-05-18T19:31:48.266541Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-03T06:30:56.289259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-03T06:30:56.289259+00:00","source":"crossref"},{"observed_at":"2026-08-03T06:30:50.922721+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":"Spectral functions of strongly interacting isospin-1 2 bosons in one dimension","venue":null,"work_id":"a7cdec54-6875-434c-83bc-e27e8a4c2fc4","year":2008},"citing_paper":{"arxiv_id":"2509.00536","last_updated":"2026-04-11T14:36:29Z","snapshot_observed_at":"2026-08-01T22:50:03.240777Z","submitted_at":"2025-08-30T15:38:45Z","title":"Ground State Energy of Dilute Fermi Gases in 1D","version":2},"reference_index":48,"source":"pdf_text","source_observed_at":"2026-05-18T19:29:21.545454Z"},"links":{"citing_paper":"/paper/2509.00536"},"observation_digest":"sha256:c80ba4a9ddb5d6ad73aa424541fdf424059e9e4f9444ae64b1be82d67e7bc014","observation_id":"4c5d7e35-3f88-4393-a79a-a3f8f6fbdd62","resolution":{"observed_at":"2026-05-18T19:31:48.260339Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-03T06:30:56.289259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-03T06:30:56.289259+00:00","source":"crossref"},{"observed_at":"2026-08-03T06:30:50.922721+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":"Engineering the dynamics of effective spin-chain models for strongly interacting atomic gases","venue":null,"work_id":"a03387f7-3322-4de0-9dff-73da0aabebab","year":2015},"citing_paper":{"arxiv_id":"2509.00536","last_updated":"2026-04-11T14:36:29Z","snapshot_observed_at":"2026-08-01T22:50:03.240777Z","submitted_at":"2025-08-30T15:38:45Z","title":"Ground State Energy of Dilute Fermi Gases in 1D","version":2},"reference_index":49,"source":"pdf_text","source_observed_at":"2026-05-18T19:29:21.545454Z"},"links":{"citing_paper":"/paper/2509.00536"},"observation_digest":"sha256:cf8e94aba47d58560e436443320919d3be6638b0501b42480dbee20c5d3e22b6","observation_id":"a2792782-994b-4f12-8ecf-a0913d01defd","resolution":{"observed_at":"2026-05-18T19:31:48.262387Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-03T06:30:56.289259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-03T06:30:56.289259+00:00","source":"crossref"},{"observed_at":"2026-08-03T06:30:50.922721+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":"Magnetism in strongly interacting one- dimensional quantum mixtures","venue":null,"work_id":"a7d7c535-3556-419c-ad3f-a1177c77b81a","year":2015},"citing_paper":{"arxiv_id":"2509.00536","last_updated":"2026-04-11T14:36:29Z","snapshot_observed_at":"2026-08-01T22:50:03.240777Z","submitted_at":"2025-08-30T15:38:45Z","title":"Ground State Energy of Dilute Fermi Gases in 1D","version":2},"reference_index":50,"source":"pdf_text","source_observed_at":"2026-05-18T19:29:21.545454Z"},"links":{"citing_paper":"/paper/2509.00536"},"observation_digest":"sha256:42386be002015b84a3a61382921c29e484b908c395acc9f2829f3c9d5865ddbb","observation_id":"99723256-b231-43d5-b651-0a84a5699ff4","resolution":{"observed_at":"2026-05-18T19:31:48.264381Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-03T06:30:56.289259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-03T06:30:56.289259+00:00","source":"crossref"},{"observed_at":"2026-08-03T06:30:50.922721+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":"Engineering quantum magnetism in one-dimensional trapped Fermi gases with p-wave interactions","venue":null,"work_id":"7e337c68-0f3d-4236-bfb1-11d510c81708","year":2016},"citing_paper":{"arxiv_id":"2509.00536","last_updated":"2026-04-11T14:36:29Z","snapshot_observed_at":"2026-08-01T22:50:03.240777Z","submitted_at":"2025-08-30T15:38:45Z","title":"Ground State Energy of Dilute Fermi Gases in 1D","version":2},"reference_index":51,"source":"pdf_text","source_observed_at":"2026-05-18T19:29:21.545454Z"},"links":{"citing_paper":"/paper/2509.00536"},"observation_digest":"sha256:9e9019868fc57884c9e2af61f3dbc0293aa12ee96202bf8d5c565f852cb49cd2","observation_id":"b59a3cde-3ad9-468d-8955-ef4d9ccf1ed8","resolution":{"observed_at":"2026-05-18T19:31:48.270360Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-03T06:30:56.289259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-03T06:30:56.289259+00:00","source":"crossref"},{"observed_at":"2026-08-03T06:30:50.922721+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":"Tuning an effective spin chain of three strongly inter- acting one-dimensional fermions with the transversal confinement","venue":null,"work_id":"0e3c2cac-43f9-4d8b-9a57-f013c72436db","year":2017},"citing_paper":{"arxiv_id":"2509.00536","last_updated":"2026-04-11T14:36:29Z","snapshot_observed_at":"2026-08-01T22:50:03.240777Z","submitted_at":"2025-08-30T15:38:45Z","title":"Ground State Energy of Dilute Fermi Gases in 1D","version":2},"reference_index":52,"source":"pdf_text","source_observed_at":"2026-05-18T19:29:21.545454Z"},"links":{"citing_paper":"/paper/2509.00536"},"observation_digest":"sha256:80c51eae790a121a8b7132cf4a4fd9535c51f10f709916809c9f85bce8efb9b8","observation_id":"1a5d1876-e05c-4c2a-ac0a-858063abedd8","resolution":{"observed_at":"2026-05-18T19:31:48.272432Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-03T06:30:56.289259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-03T06:30:56.289259+00:00","source":"crossref"},{"observed_at":"2026-08-03T06:30:50.922721+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":"Antiferromagnetic Heisenberg spin chain of a few cold atoms in a one- dimensional trap","venue":null,"work_id":"f1bb0d0a-e7ed-437e-97f7-4eb61894d525","year":2015},"citing_paper":{"arxiv_id":"2509.00536","last_updated":"2026-04-11T14:36:29Z","snapshot_observed_at":"2026-08-01T22:50:03.240777Z","submitted_at":"2025-08-30T15:38:45Z","title":"Ground State Energy of Dilute Fermi Gases in 1D","version":2},"reference_index":53,"source":"pdf_text","source_observed_at":"2026-05-18T19:29:21.545454Z"},"links":{"citing_paper":"/paper/2509.00536"},"observation_digest":"sha256:cae271702c46e19fdae19aa786bd428e3386a915f32348ca93d6eb46ce5f52bb","observation_id":"833ed2bd-6c33-4e8d-9678-9ab8c3783649","resolution":{"observed_at":"2026-05-18T19:32:49.036577Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-03T06:30:56.289259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-03T06:30:56.289259+00:00","source":"crossref"},{"observed_at":"2026-08-03T06:30:50.922721+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":"Polarization of interacting bosons with spin","venue":null,"work_id":"e86d40d3-2efb-41ea-a805-8a350e13b5c7","year":2002},"citing_paper":{"arxiv_id":"2509.00536","last_updated":"2026-04-11T14:36:29Z","snapshot_observed_at":"2026-08-01T22:50:03.240777Z","submitted_at":"2025-08-30T15:38:45Z","title":"Ground State Energy of Dilute Fermi Gases in 1D","version":2},"reference_index":54,"source":"pdf_text","source_observed_at":"2026-05-18T19:29:21.545454Z"},"links":{"citing_paper":"/paper/2509.00536"},"observation_digest":"sha256:734c8e139f243b2283ecf668537d51e8fd8520d4df7d684b1b8b0cf99b23cb3e","observation_id":"72ff2ac3-5658-43ef-b864-63b3519b7d9b","resolution":{"observed_at":"2026-05-18T19:32:49.096698Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-03T06:30:56.289259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-03T06:30:56.289259+00:00","source":"crossref"},{"observed_at":"2026-08-03T06:30:50.922721+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":"One-dimensional Heisenberg model at finite temperature","venue":null,"work_id":"5fb34c2d-651e-4c7b-97dc-fbbaadef39ef","year":1971},"citing_paper":{"arxiv_id":"2509.00536","last_updated":"2026-04-11T14:36:29Z","snapshot_observed_at":"2026-08-01T22:50:03.240777Z","submitted_at":"2025-08-30T15:38:45Z","title":"Ground State Energy of Dilute Fermi Gases in 1D","version":2},"reference_index":55,"source":"pdf_text","source_observed_at":"2026-05-18T19:29:21.545454Z"},"links":{"citing_paper":"/paper/2509.00536"},"observation_digest":"sha256:45684d1335e52f9ecd9ff33ffccc6093cd07df081c8a3564e4527c14a924ff2c","observation_id":"a3a7c79e-1c62-4b1f-bd37-e58e5ea42ab4","resolution":{"observed_at":"2026-05-18T19:31:48.256149Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-03T06:30:56.289259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-03T06:30:56.289259+00:00","source":"crossref"},{"observed_at":"2026-08-03T06:30:50.922721+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":"Orthogonality and completeness of the Bethe ansatz eigenstates of the nonlinear Schroedinger model","venue":null,"work_id":"2347948b-1512-440a-a50e-bfb0a504ed77","year":1993},"citing_paper":{"arxiv_id":"2509.00536","last_updated":"2026-04-11T14:36:29Z","snapshot_observed_at":"2026-08-01T22:50:03.240777Z","submitted_at":"2025-08-30T15:38:45Z","title":"Ground State Energy of Dilute Fermi Gases in 1D","version":2},"reference_index":56,"source":"pdf_text","source_observed_at":"2026-05-18T19:29:21.545454Z"},"links":{"citing_paper":"/paper/2509.00536"},"observation_digest":"sha256:3f40acf88494771e369f17ed613704b0fb72cefd4335a9fad35409cbca6c6341","observation_id":"a70a7a70-fe02-46ee-b099-7f6e6e1652d2","resolution":{"observed_at":"2026-05-18T19:32:49.116721Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-03T06:30:56.289259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-03T06:30:56.289259+00:00","source":"crossref"},{"observed_at":"2026-08-03T06:30:50.922721+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":"One-dimensional chain of anisotropic spin-spin interactions. i. proof of Bethe’s hypothesis for ground state in a finite system","venue":null,"work_id":"fd29ddb9-d065-4351-a34f-86753754f8ed","year":1966},"citing_paper":{"arxiv_id":"2509.00536","last_updated":"2026-04-11T14:36:29Z","snapshot_observed_at":"2026-08-01T22:50:03.240777Z","submitted_at":"2025-08-30T15:38:45Z","title":"Ground State Energy of Dilute Fermi Gases in 1D","version":2},"reference_index":57,"source":"pdf_text","source_observed_at":"2026-05-18T19:29:21.545454Z"},"links":{"citing_paper":"/paper/2509.00536"},"observation_digest":"sha256:461bbd50436647255a0502d19f05b8521401822e0012f516f331ee4af82a6a22","observation_id":"19a4c97f-39e1-4fb9-b507-e657c9dba3c9","resolution":{"observed_at":"2026-05-18T19:32:49.072651Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-03T06:30:56.289259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-03T06:30:56.289259+00:00","source":"crossref"},{"observed_at":"2026-08-03T06:30:50.922721+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":"Mattis, The Theory of Magnetism I: Statics and Dynamics","venue":null,"work_id":"a62eb3c6-6462-45c3-830e-c50ddc366b3e","year":2012},"citing_paper":{"arxiv_id":"2509.00536","last_updated":"2026-04-11T14:36:29Z","snapshot_observed_at":"2026-08-01T22:50:03.240777Z","submitted_at":"2025-08-30T15:38:45Z","title":"Ground State Energy of Dilute Fermi Gases in 1D","version":2},"reference_index":58,"source":"pdf_text","source_observed_at":"2026-05-18T19:29:21.545454Z"},"links":{"citing_paper":"/paper/2509.00536"},"observation_digest":"sha256:9969feec9b43894f6547896afb68ac3ebfd513e254f87a91186b32de9694c004","observation_id":"1d129063-b5ea-40c1-9259-2f5a880b9241","resolution":{"observed_at":"2026-05-18T19:32:49.106396Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-03T06:30:56.289259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-03T06:30:56.289259+00:00","source":"crossref"},{"observed_at":"2026-08-03T06:30:50.922721+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":"Theory of spinor Fermi and Bose gases in tight atom waveguides","venue":null,"work_id":"cf51c988-9f8a-4518-82bb-9854439a01aa","year":2004},"citing_paper":{"arxiv_id":"2509.00536","last_updated":"2026-04-11T14:36:29Z","snapshot_observed_at":"2026-08-01T22:50:03.240777Z","submitted_at":"2025-08-30T15:38:45Z","title":"Ground State Energy of Dilute Fermi Gases in 1D","version":2},"reference_index":59,"source":"pdf_text","source_observed_at":"2026-05-18T19:29:21.545454Z"},"links":{"citing_paper":"/paper/2509.00536"},"observation_digest":"sha256:a23a1e12afd9bd8d9496d3184d60d3802ea3509cf831a25b44c388e80f77443b","observation_id":"2d95cd37-8e2e-42eb-ac20-a4399336e1af","resolution":{"observed_at":"2026-05-18T19:32:49.010711Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-03T06:30:56.289259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-03T06:30:56.289259+00:00","source":"crossref"},{"observed_at":"2026-08-03T06:30:50.922721+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":"Ground and excited states of spinor Fermi gases in tight waveguides and the Lieb-Liniger-Heisenberg model","venue":null,"work_id":"9f63ead2-8cfc-440e-93de-fc135003b48e","year":2006},"citing_paper":{"arxiv_id":"2509.00536","last_updated":"2026-04-11T14:36:29Z","snapshot_observed_at":"2026-08-01T22:50:03.240777Z","submitted_at":"2025-08-30T15:38:45Z","title":"Ground State Energy of Dilute Fermi Gases in 1D","version":2},"reference_index":60,"source":"pdf_text","source_observed_at":"2026-05-18T19:29:21.545454Z"},"links":{"citing_paper":"/paper/2509.00536"},"observation_digest":"sha256:803531f149086da6d29314641a151fd197b537eabb135de71f5a2a923018fb05","observation_id":"8c2d85fc-a4dd-448b-9184-5f050d77add6","resolution":{"observed_at":"2026-05-18T19:32:49.112291Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-03T06:30:56.289259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-03T06:30:56.289259+00:00","source":"crossref"},{"observed_at":"2026-08-03T06:30:50.922721+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":"Momentum distributions and numerical methods for strongly interacting one-dimensional spinor gases","venue":null,"work_id":"6b74a6f5-5096-49ef-a223-781992dde081","year":2016},"citing_paper":{"arxiv_id":"2509.00536","last_updated":"2026-04-11T14:36:29Z","snapshot_observed_at":"2026-08-01T22:50:03.240777Z","submitted_at":"2025-08-30T15:38:45Z","title":"Ground State Energy of Dilute Fermi Gases in 1D","version":2},"reference_index":61,"source":"pdf_text","source_observed_at":"2026-05-18T19:29:21.545454Z"},"links":{"citing_paper":"/paper/2509.00536"},"observation_digest":"sha256:bccdf30327dc2ca6a8b601ee0873ca14f0b70b7771b47f987d388ea4050c68be","observation_id":"9e4fb49e-fabc-4393-8385-7b7ad43e5196","resolution":{"observed_at":"2026-05-18T19:32:49.101841Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-03T06:30:56.289259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-03T06:30:56.289259+00:00","source":"crossref"},{"observed_at":"2026-08-03T06:30:50.922721+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":"One-body density matrix and momentum distribution of strongly interacting one-dimensional spinor quantum gases","venue":null,"work_id":"75ba8e5d-48f0-492b-8c8a-27cf98d7d3ad","year":2017},"citing_paper":{"arxiv_id":"2509.00536","last_updated":"2026-04-11T14:36:29Z","snapshot_observed_at":"2026-08-01T22:50:03.240777Z","submitted_at":"2025-08-30T15:38:45Z","title":"Ground State Energy of Dilute Fermi Gases in 1D","version":2},"reference_index":62,"source":"pdf_text","source_observed_at":"2026-05-18T19:29:21.545454Z"},"links":{"citing_paper":"/paper/2509.00536"},"observation_digest":"sha256:1ea609973f3fa29eae21c26bb9d8037589a9aaa91f527a67e25b0d93ff46b31b","observation_id":"e0f1fce9-f54f-41a6-b027-5ea34a083c20","resolution":{"observed_at":"2026-05-18T19:31:48.254186Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-03T06:30:56.289259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-03T06:30:56.289259+00:00","source":"crossref"},{"observed_at":"2026-08-03T06:30:50.922721+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":"Analytic thermodynamic properties of the Lieb-Liniger gas","venue":null,"work_id":"1ae4a72f-4c63-474c-b1c7-ebcbc3cc98ee","year":2024},"citing_paper":{"arxiv_id":"2509.00536","last_updated":"2026-04-11T14:36:29Z","snapshot_observed_at":"2026-08-01T22:50:03.240777Z","submitted_at":"2025-08-30T15:38:45Z","title":"Ground State Energy of Dilute Fermi Gases in 1D","version":2},"reference_index":63,"source":"pdf_text","source_observed_at":"2026-05-18T19:29:21.545454Z"},"links":{"citing_paper":"/paper/2509.00536"},"observation_digest":"sha256:fd30ed934abea588d02f07b731a4dc0dde857269d96743b1dfec16675a6f57d8","observation_id":"07de6395-91b8-46bb-ba88-380f07167757","resolution":{"observed_at":"2026-05-18T19:31:48.258234Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-03T06:30:56.289259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-03T06:30:56.289259+00:00","source":"crossref"},{"observed_at":"2026-08-03T06:30:50.922721+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":null,"venue":null,"work_id":"8d91f17b-66e8-4146-8afd-0e29b173e9bc","year":2006},"citing_paper":{"arxiv_id":"2509.00536","last_updated":"2026-04-11T14:36:29Z","snapshot_observed_at":"2026-08-01T22:50:03.240777Z","submitted_at":"2025-08-30T15:38:45Z","title":"Ground State Energy of Dilute Fermi Gases in 1D","version":2},"reference_index":64,"source":"pdf_text","source_observed_at":"2026-05-18T19:29:21.545454Z"},"links":{"citing_paper":"/paper/2509.00536"},"observation_digest":"sha256:04f2b993665fa19352000e0dae34993aa063f6d3018d24522ab3a51abda89c24","observation_id":"df98fdae-97fe-4c74-afc6-d6a2563753e2","resolution":{"observed_at":"2026-05-18T19:31:48.268447Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-03T06:30:56.289259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-03T06:30:56.289259+00:00","source":"crossref"},{"observed_at":"2026-08-03T06:30:50.922721+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":"Agerskov, One-dimensional Dilute Quantum Gases and Their Ground State Energies","venue":null,"work_id":"9a02f783-53ab-4371-859b-59e9c3c96cfa","year":2023},"citing_paper":{"arxiv_id":"2509.00536","last_updated":"2026-04-11T14:36:29Z","snapshot_observed_at":"2026-08-01T22:50:03.240777Z","submitted_at":"2025-08-30T15:38:45Z","title":"Ground State Energy of Dilute Fermi Gases in 1D","version":2},"reference_index":65,"source":"pdf_text","source_observed_at":"2026-05-18T19:29:21.545454Z"},"links":{"citing_paper":"/paper/2509.00536"},"observation_digest":"sha256:be689395dfe6c607581046e2357e56de2c40e090bd4d113a3bfdf8dd567ef06c","observation_id":"8d886991-f3a5-44e4-b528-2defdcd976bc","resolution":{"observed_at":"2026-05-18T19:31:48.281418Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-03T06:30:56.289259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-03T06:30:56.289259+00:00","source":"crossref"},{"observed_at":"2026-08-03T06:30:50.922721+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":"Robinson, The Thermodynamic Pressure in Quantum Statistical Mechanics","venue":null,"work_id":"2e773d10-ee7a-48d2-9b3e-638f32558823","year":1971},"citing_paper":{"arxiv_id":"2509.00536","last_updated":"2026-04-11T14:36:29Z","snapshot_observed_at":"2026-08-01T22:50:03.240777Z","submitted_at":"2025-08-30T15:38:45Z","title":"Ground State Energy of Dilute Fermi Gases in 1D","version":2},"reference_index":66,"source":"pdf_text","source_observed_at":"2026-05-18T19:29:21.545454Z"},"links":{"citing_paper":"/paper/2509.00536"},"observation_digest":"sha256:575c27306ff4ebbfa5a51edaca85e37a1391846001c9a84a7cdb09c9a28bc908","observation_id":"2d7247f9-4f3e-4bd3-a3f5-856e06eae7c2","resolution":{"observed_at":"2026-05-18T19:31:48.247862Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-03T06:30:56.289259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-03T06:30:56.289259+00:00","source":"crossref"},{"observed_at":"2026-08-03T06:30:50.922721+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":"Theory of ferromagnetism and the ordering of electronic energy levels","venue":null,"work_id":"976289f4-0f1f-4edd-ac93-bf34b9e38f51","year":1962},"citing_paper":{"arxiv_id":"2509.00536","last_updated":"2026-04-11T14:36:29Z","snapshot_observed_at":"2026-08-01T22:50:03.240777Z","submitted_at":"2025-08-30T15:38:45Z","title":"Ground State Energy of Dilute Fermi Gases in 1D","version":2},"reference_index":67,"source":"pdf_text","source_observed_at":"2026-05-18T19:29:21.545454Z"},"links":{"citing_paper":"/paper/2509.00536"},"observation_digest":"sha256:dbc68cf218d1cd480cde232a82a22e8ea1c7826f714a1d2cc4a57b1c5014473b","observation_id":"443d89cd-1380-4d86-a3e8-0f9c3af8665d","resolution":{"observed_at":"2026-05-18T19:31:48.250003Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-03T06:30:56.289259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-03T06:30:56.289259+00:00","source":"crossref"},{"observed_at":"2026-08-03T06:30:50.922721+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":"Gaudin, The Bethe Wavefunction","venue":null,"work_id":"8250712e-6ead-465e-939a-a485e76fc3bd","year":2014},"citing_paper":{"arxiv_id":"2509.00536","last_updated":"2026-04-11T14:36:29Z","snapshot_observed_at":"2026-08-01T22:50:03.240777Z","submitted_at":"2025-08-30T15:38:45Z","title":"Ground State Energy of Dilute Fermi Gases in 1D","version":2},"reference_index":68,"source":"pdf_text","source_observed_at":"2026-05-18T19:29:21.545454Z"},"links":{"citing_paper":"/paper/2509.00536"},"observation_digest":"sha256:85058583edd37f59ebfca71f89687b1289439d9ea4e3d51f53c65176cf3cbca1","observation_id":"09cebdc7-dca4-4268-91f7-3dd3a72525a5","resolution":{"observed_at":"2026-05-18T19:31:48.252171Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-03T06:30:56.289259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-03T06:30:56.289259+00:00","source":"crossref"},{"observed_at":"2026-08-03T06:30:50.922721+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":"Thermodynamics of a one-dimensional system of bosons with repulsive delta-function interaction","venue":null,"work_id":"1a7533ad-e651-41db-9fe2-19fd8cb808fe","year":1969},"citing_paper":{"arxiv_id":"2509.00536","last_updated":"2026-04-11T14:36:29Z","snapshot_observed_at":"2026-08-01T22:50:03.240777Z","submitted_at":"2025-08-30T15:38:45Z","title":"Ground State Energy of Dilute Fermi Gases in 1D","version":2},"reference_index":69,"source":"pdf_text","source_observed_at":"2026-05-18T19:29:21.545454Z"},"links":{"citing_paper":"/paper/2509.00536"},"observation_digest":"sha256:26fe387586d7a2570a3f3ce5f81e99120ca9a59499e61b9b33f0c872bf02e33b","observation_id":"56a62068-7c21-4d49-853f-2aae6ff5c938","resolution":{"observed_at":"2026-05-18T19:31:48.245658Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-03T06:30:56.289259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-03T06:30:56.289259+00:00","source":"crossref"},{"observed_at":"2026-08-03T06:30:50.922721+00:00","source":"retraction_watch"}],"state":"measured"}}],"paper":{"arxiv_id":"2509.00536","last_updated":"2026-04-11T14:36:29Z","latest_version":2,"primary_category":"math-ph","snapshot_observed_at":"2026-08-01T22:50:03.240777Z","submitted_at":"2025-08-30T15:38:45Z","title":"Ground State Energy of Dilute Fermi Gases in 1D"},"reference_resolution":{"displayed":69,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":1,"verified_exact":7,"verified_fuzzy":61},"total_outbound_references":69},"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":"2026-08-03T06:30:56.289259+00:00","source":"crossref"},{"observed_at":"2026-08-03T06:30:50.922721+00:00","source":"retraction_watch"}],"thesis":"As of 3 August 2026, this Paper Citation Record lists 69 of 69 outbound references and 1 inbound Pith citation observation for arXiv:2509.00536."}