{"as_of":"2026-08-06T00:21:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:80718de20dd881f9479b57cee84412293b62f274e20015433da59148722eab24","coverage":[{"denominator":36,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":36,"source":"paper_references, paper_reference_links","source_observed_at":"2026-05-10T15:53:05.366859Z","state":"measured"},{"denominator":36,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":36,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-05T06:32:48.257954+00:00","state":"measured"},{"denominator":0,"lane":"inbound_itemization","note":"Pith citing papers itemized under the disclosed page cap.","records_observed":0,"source":"paper_references, paper_reference_links","source_observed_at":null,"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":[],"links":{"evidence":"/evidence","html":"/paper/2604.10270/citation-record","integrity":"/paper/2604.10270/integrity","json":"/paper/2604.10270/citation-record.json","paper":"/paper/2604.10270"},"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":null,"venue":null,"work_id":"396a2be1-7e0f-4f1b-96d1-621e563ec3ec","year":2002},"citing_paper":{"arxiv_id":"2604.10270","last_updated":"2026-04-11T16:22:12Z","snapshot_observed_at":"2026-07-06T22:58:56.307161Z","submitted_at":"2026-04-11T16:22:12Z","title":"A second order upper bound to the free energy of the two dimensional Bose gas","version":1},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-05-10T15:53:05.366859Z"},"links":{"citing_paper":"/paper/2604.10270"},"observation_digest":"sha256:224f7d8aac3e84e042b5ccb264fd57a9f383dc68a657fe0b30b3b5c5e1904ca4","observation_id":"fb3c2509-eaca-419e-89a7-9079cf5c094c","resolution":{"observed_at":"2026-05-17T18:12:02.878713Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-05T06:32:48.257954+00:00","source":"crossref"},{"observed_at":"2026-08-05T06:32:44.755628+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":"2507.20877","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-07-02T04:36:35.911404Z","title":"Basti, C","venue":null,"work_id":"97873cf0-8799-4bbf-97f7-5f2c1f6140d5","year":2025},"citing_paper":{"arxiv_id":"2604.10270","last_updated":"2026-04-11T16:22:12Z","snapshot_observed_at":"2026-07-06T22:58:56.307161Z","submitted_at":"2026-04-11T16:22:12Z","title":"A second order upper bound to the free energy of the two dimensional Bose gas","version":1},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-05-10T15:53:05.366859Z"},"links":{"citing_paper":"/paper/2604.10270"},"observation_digest":"sha256:1c09cab42fca4d08e1fe9215afc921977773e8c18ccab5470fdbf1cc82691fa2","observation_id":"20458d41-0575-446c-95a9-b4923127e02d","resolution":{"observed_at":"2026-05-11T09:41:03.564463Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-05T06:32:48.257954+00:00","source":"crossref"},{"observed_at":"2026-08-05T06:32:44.755628+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":"62864f8d-c8d8-4e0c-8956-268a2380df03","year":2024},"citing_paper":{"arxiv_id":"2604.10270","last_updated":"2026-04-11T16:22:12Z","snapshot_observed_at":"2026-07-06T22:58:56.307161Z","submitted_at":"2026-04-11T16:22:12Z","title":"A second order upper bound to the free energy of the two dimensional Bose gas","version":1},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-05-10T15:53:05.366859Z"},"links":{"citing_paper":"/paper/2604.10270"},"observation_digest":"sha256:fe0e05da3a0004f56c65a352a65b6d7a6e5de87abb01412baf28a8119fc5291b","observation_id":"f267b4b5-1774-487b-a0ae-e4491a17f6da","resolution":{"observed_at":"2026-05-17T18:12:02.932067Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-05T06:32:48.257954+00:00","source":"crossref"},{"observed_at":"2026-08-05T06:32:44.755628+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":"82b9a1b2-9a1c-40a6-98d7-69deb2364edd","year":2023},"citing_paper":{"arxiv_id":"2604.10270","last_updated":"2026-04-11T16:22:12Z","snapshot_observed_at":"2026-07-06T22:58:56.307161Z","submitted_at":"2026-04-11T16:22:12Z","title":"A second order upper bound to the free energy of the two dimensional Bose gas","version":1},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-05-10T15:53:05.366859Z"},"links":{"citing_paper":"/paper/2604.10270"},"observation_digest":"sha256:500ebb665c4243794a7e33de41443691fb6c2ee7ed43d949b340a7128cb4cf69","observation_id":"de487611-b3a7-412b-bde8-5e8cd47a198c","resolution":{"observed_at":"2026-05-17T18:12:02.887213Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-05T06:32:48.257954+00:00","source":"crossref"},{"observed_at":"2026-08-05T06:32:44.755628+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":"df7cb926-196f-442c-808b-e576de71e431","year":2021},"citing_paper":{"arxiv_id":"2604.10270","last_updated":"2026-04-11T16:22:12Z","snapshot_observed_at":"2026-07-06T22:58:56.307161Z","submitted_at":"2026-04-11T16:22:12Z","title":"A second order upper bound to the free energy of the two dimensional Bose gas","version":1},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-05-10T15:53:05.366859Z"},"links":{"citing_paper":"/paper/2604.10270"},"observation_digest":"sha256:60629a347acb7bec5228fdbc2653ce394aacb0b3253ae9360a4e2121e01f2505","observation_id":"ecddd91f-2bc1-457c-ae89-ac984846d708","resolution":{"observed_at":"2026-05-17T18:12:02.921104Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-05T06:32:48.257954+00:00","source":"crossref"},{"observed_at":"2026-08-05T06:32:44.755628+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":"L.Berezinskii, Destruction of Long-range Order in One-dimensional and Two-dimen- sional Systems Possessing a Continuous Symmetry Group","venue":null,"work_id":"18c6fe7a-0415-41ea-afbf-1a602aaee0ca","year":1972},"citing_paper":{"arxiv_id":"2604.10270","last_updated":"2026-04-11T16:22:12Z","snapshot_observed_at":"2026-07-06T22:58:56.307161Z","submitted_at":"2026-04-11T16:22:12Z","title":"A second order upper bound to the free energy of the two dimensional Bose gas","version":1},"reference_index":6,"source":"pdf_text","source_observed_at":"2026-05-10T15:53:05.366859Z"},"links":{"citing_paper":"/paper/2604.10270"},"observation_digest":"sha256:fb0bf240d33358061b0a36539cc569f9662b24589dd750bde1a7d183c80ed382","observation_id":"5757a3e5-f16a-4e60-8f89-7fd6e3eb13f7","resolution":{"observed_at":"2026-05-17T18:10:05.351285Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-05T06:32:48.257954+00:00","source":"crossref"},{"observed_at":"2026-08-05T06:32:44.755628+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":"N.Bose, Plancks Gesetz und Lichtquantenhypothese,Z","venue":null,"work_id":"f6944a43-ea86-4a5b-bbc7-2e1d7e3684e4","year":1924},"citing_paper":{"arxiv_id":"2604.10270","last_updated":"2026-04-11T16:22:12Z","snapshot_observed_at":"2026-07-06T22:58:56.307161Z","submitted_at":"2026-04-11T16:22:12Z","title":"A second order upper bound to the free energy of the two dimensional Bose gas","version":1},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-05-10T15:53:05.366859Z"},"links":{"citing_paper":"/paper/2604.10270"},"observation_digest":"sha256:c33846c0682c202ade40f6ec00e3d20c7dc1f8923e48c805208103b2861edbad","observation_id":"25ee3ef9-995d-4ba5-a391-a19e9d00da59","resolution":{"observed_at":"2026-05-17T18:12:02.894659Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-05T06:32:48.257954+00:00","source":"crossref"},{"observed_at":"2026-08-05T06:32:44.755628+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":"Henri Poincar´ e24.8(2023), pp","venue":null,"work_id":"a2f361cb-c5ad-4c3b-92ad-062365f4df80","year":2023},"citing_paper":{"arxiv_id":"2604.10270","last_updated":"2026-04-11T16:22:12Z","snapshot_observed_at":"2026-07-06T22:58:56.307161Z","submitted_at":"2026-04-11T16:22:12Z","title":"A second order upper bound to the free energy of the two dimensional Bose gas","version":1},"reference_index":8,"source":"pdf_text","source_observed_at":"2026-05-10T15:53:05.366859Z"},"links":{"citing_paper":"/paper/2604.10270"},"observation_digest":"sha256:3d1ead14e907eb2d80a7a4e988eeafde7df1fe53a7a83e65098df460a6513597","observation_id":"d507d577-15bd-4071-b5a0-dffa3ef0f8cb","resolution":{"observed_at":"2026-05-17T18:12:02.907189Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-05T06:32:48.257954+00:00","source":"crossref"},{"observed_at":"2026-08-05T06:32:44.755628+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":"Y.Chernyand A","venue":null,"work_id":"cf4f0db8-63db-4f6b-9fcc-e70c7566bf09","year":2001},"citing_paper":{"arxiv_id":"2604.10270","last_updated":"2026-04-11T16:22:12Z","snapshot_observed_at":"2026-07-06T22:58:56.307161Z","submitted_at":"2026-04-11T16:22:12Z","title":"A second order upper bound to the free energy of the two dimensional Bose gas","version":1},"reference_index":9,"source":"pdf_text","source_observed_at":"2026-05-10T15:53:05.366859Z"},"links":{"citing_paper":"/paper/2604.10270"},"observation_digest":"sha256:d62c2de1882dae6e1a9493ff4e7e129fa376ab06a52867ed17c94e0227a47c70","observation_id":"867a5079-44c3-416f-870d-a307d6b494dd","resolution":{"observed_at":"2026-05-17T18:12:02.884097Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-05T06:32:48.257954+00:00","source":"crossref"},{"observed_at":"2026-08-05T06:32:44.755628+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":"abfd1e05-e700-41a3-99d6-bbd49584e707","year":2020},"citing_paper":{"arxiv_id":"2604.10270","last_updated":"2026-04-11T16:22:12Z","snapshot_observed_at":"2026-07-06T22:58:56.307161Z","submitted_at":"2026-04-11T16:22:12Z","title":"A second order upper bound to the free energy of the two dimensional Bose gas","version":1},"reference_index":10,"source":"pdf_text","source_observed_at":"2026-05-10T15:53:05.366859Z"},"links":{"citing_paper":"/paper/2604.10270"},"observation_digest":"sha256:646c0f43323986c388dfecb4652fed6dc3fec8cb3170ece5480195a62640963c","observation_id":"527d00bb-aecd-43c2-bf88-21bae37ab63a","resolution":{"observed_at":"2026-05-17T18:12:02.909941Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-05T06:32:48.257954+00:00","source":"crossref"},{"observed_at":"2026-08-05T06:32:44.755628+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":"J.Dyson, Ground-state energy of a hard-sphere gas,Phys","venue":null,"work_id":"758846a7-8177-45e7-9b06-e318addce1e4","year":1957},"citing_paper":{"arxiv_id":"2604.10270","last_updated":"2026-04-11T16:22:12Z","snapshot_observed_at":"2026-07-06T22:58:56.307161Z","submitted_at":"2026-04-11T16:22:12Z","title":"A second order upper bound to the free energy of the two dimensional Bose gas","version":1},"reference_index":11,"source":"pdf_text","source_observed_at":"2026-05-10T15:53:05.366859Z"},"links":{"citing_paper":"/paper/2604.10270"},"observation_digest":"sha256:3b03aaabcbff7c0a8c68cf4d48e731f5a67c9bcf8538f61a8e587ba2485ffade","observation_id":"832891a8-edee-4b50-a2f4-5796ffb228f9","resolution":{"observed_at":"2026-05-17T18:12:02.929409Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-05T06:32:48.257954+00:00","source":"crossref"},{"observed_at":"2026-08-05T06:32:44.755628+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":"Zweite Abhandlung.Sitzungs- berichte der Preußischen Akademie der Wissenschaften, I(1925), pp","venue":null,"work_id":"5c581d5f-ee45-4578-b98f-4df19cbfe1c7","year":1925},"citing_paper":{"arxiv_id":"2604.10270","last_updated":"2026-04-11T16:22:12Z","snapshot_observed_at":"2026-07-06T22:58:56.307161Z","submitted_at":"2026-04-11T16:22:12Z","title":"A second order upper bound to the free energy of the two dimensional Bose gas","version":1},"reference_index":12,"source":"pdf_text","source_observed_at":"2026-05-10T15:53:05.366859Z"},"links":{"citing_paper":"/paper/2604.10270"},"observation_digest":"sha256:e40363e6a44116e5eb8551efe21a25c7c54ffd9c1aa49c2f564d93b4e8c204c4","observation_id":"6c671195-e120-4b47-9d46-a045cde9f6f3","resolution":{"observed_at":"2026-05-17T18:12:02.923810Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-05T06:32:48.257954+00:00","source":"crossref"},{"observed_at":"2026-08-05T06:32:44.755628+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":"5f4a500b-6319-418b-b8ec-f7df5b119fdd","year":2008},"citing_paper":{"arxiv_id":"2604.10270","last_updated":"2026-04-11T16:22:12Z","snapshot_observed_at":"2026-07-06T22:58:56.307161Z","submitted_at":"2026-04-11T16:22:12Z","title":"A second order upper bound to the free energy of the two dimensional Bose gas","version":1},"reference_index":13,"source":"pdf_text","source_observed_at":"2026-05-10T15:53:05.366859Z"},"links":{"citing_paper":"/paper/2604.10270"},"observation_digest":"sha256:9b8063574afbb72b2a80a13e2dbc10d2ed8d7dc4c5bfcc2739c542ee4be2d41e","observation_id":"7c4955bb-50d3-4200-86d1-c02b6048f230","resolution":{"observed_at":"2026-05-17T18:12:02.940814Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-05T06:32:48.257954+00:00","source":"crossref"},{"observed_at":"2026-08-05T06:32:44.755628+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":"ffdbb14e-444c-42cd-813a-cf69f9bf70bd","year":1973},"citing_paper":{"arxiv_id":"2604.10270","last_updated":"2026-04-11T16:22:12Z","snapshot_observed_at":"2026-07-06T22:58:56.307161Z","submitted_at":"2026-04-11T16:22:12Z","title":"A second order upper bound to the free energy of the two dimensional Bose gas","version":1},"reference_index":14,"source":"pdf_text","source_observed_at":"2026-05-10T15:53:05.366859Z"},"links":{"citing_paper":"/paper/2604.10270"},"observation_digest":"sha256:25d8c48a9b1618b875938cd92d5517997895f3ee40b55cdbca97cc9d43bf7731","observation_id":"6707812b-c0b0-418f-af67-d1a5fdabbf73","resolution":{"observed_at":"2026-05-17T18:12:02.901058Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-05T06:32:48.257954+00:00","source":"crossref"},{"observed_at":"2026-08-05T06:32:44.755628+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":"fd7dd772-8bd4-456f-bf99-d34d3db0978f","year":2024},"citing_paper":{"arxiv_id":"2604.10270","last_updated":"2026-04-11T16:22:12Z","snapshot_observed_at":"2026-07-06T22:58:56.307161Z","submitted_at":"2026-04-11T16:22:12Z","title":"A second order upper bound to the free energy of the two dimensional Bose gas","version":1},"reference_index":15,"source":"pdf_text","source_observed_at":"2026-05-10T15:53:05.366859Z"},"links":{"citing_paper":"/paper/2604.10270"},"observation_digest":"sha256:20270796567f2f75439c271fc47a532b0e0f3a4388b75ac157d3a15811fd8bf7","observation_id":"a9a063ef-4e0a-441d-9b8c-9bd9146c2f70","resolution":{"observed_at":"2026-05-17T18:12:02.904127Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-05T06:32:48.257954+00:00","source":"crossref"},{"observed_at":"2026-08-05T06:32:44.755628+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":"2604.10270","last_updated":"2026-04-11T16:22:12Z","snapshot_observed_at":"2026-07-06T22:58:56.307161Z","submitted_at":"2026-04-11T16:22:12Z","title":"A second order upper bound to the free energy of the two dimensional Bose gas","version":1},"reference_index":16,"source":"pdf_text","source_observed_at":"2026-05-10T15:53:05.366859Z"},"links":{"cited_paper":"/paper/2408.14222","citing_paper":"/paper/2604.10270"},"observation_digest":"sha256:31f070fdb9715aa283da6ee4e66a179f8bc859ae869030973a86b0c1c2cb27cd","observation_id":"e792a7af-6825-410f-afc7-9870508e441a","resolution":{"observed_at":"2026-05-11T09:41:03.553746Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-05T06:32:48.257954+00:00","source":"crossref"},{"observed_at":"2026-08-05T06:32:44.755628+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":"2604.10270","last_updated":"2026-04-11T16:22:12Z","snapshot_observed_at":"2026-07-06T22:58:56.307161Z","submitted_at":"2026-04-11T16:22:12Z","title":"A second order upper bound to the free energy of the two dimensional Bose gas","version":1},"reference_index":17,"source":"pdf_text","source_observed_at":"2026-05-10T15:53:05.366859Z"},"links":{"cited_paper":"/paper/2304.02405","citing_paper":"/paper/2604.10270"},"observation_digest":"sha256:67d4d472e168dbdb8ec0b1776bbdb878ca46890b1277b76cf239322845feb446","observation_id":"9f9435e0-020d-4291-bdc8-27a88c4da5fe","resolution":{"observed_at":"2026-05-11T09:41:03.518941Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-05T06:32:48.257954+00:00","source":"crossref"},{"observed_at":"2026-08-05T06:32:44.755628+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":"2604.10270","last_updated":"2026-04-11T16:22:12Z","snapshot_observed_at":"2026-07-06T22:58:56.307161Z","submitted_at":"2026-04-11T16:22:12Z","title":"A second order upper bound to the free energy of the two dimensional Bose gas","version":1},"reference_index":18,"source":"pdf_text","source_observed_at":"2026-05-10T15:53:05.366859Z"},"links":{"cited_paper":"/paper/2405.03378","citing_paper":"/paper/2604.10270"},"observation_digest":"sha256:ccbe01a9650839e0f5cefcf3f379842d00b8d546692e6fbdcbde616af430eb80","observation_id":"cfda91a6-2b72-4153-9de4-033471e4a031","resolution":{"observed_at":"2026-05-11T09:41:03.532737Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-05T06:32:48.257954+00:00","source":"crossref"},{"observed_at":"2026-08-05T06:32:44.755628+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":"C.Hohenberg, Existence of long-range order in one and two dimensions,Phys","venue":null,"work_id":"18daf9e5-2965-4dec-9755-4e607532f150","year":1967},"citing_paper":{"arxiv_id":"2604.10270","last_updated":"2026-04-11T16:22:12Z","snapshot_observed_at":"2026-07-06T22:58:56.307161Z","submitted_at":"2026-04-11T16:22:12Z","title":"A second order upper bound to the free energy of the two dimensional Bose gas","version":1},"reference_index":19,"source":"pdf_text","source_observed_at":"2026-05-10T15:53:05.366859Z"},"links":{"citing_paper":"/paper/2604.10270"},"observation_digest":"sha256:0153b94596acf7a668d08acaf978a3d8e098b9742247e218ae9755081b27cb63","observation_id":"a1db01de-8532-447f-b138-39c78abe9bc9","resolution":{"observed_at":"2026-05-17T18:12:02.946148Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-05T06:32:48.257954+00:00","source":"crossref"},{"observed_at":"2026-08-05T06:32:44.755628+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":"Rev.98.5(1955), pp","venue":null,"work_id":"2d9e5514-ba2c-4b1c-a3a2-f53f73e308c2","year":1955},"citing_paper":{"arxiv_id":"2604.10270","last_updated":"2026-04-11T16:22:12Z","snapshot_observed_at":"2026-07-06T22:58:56.307161Z","submitted_at":"2026-04-11T16:22:12Z","title":"A second order upper bound to the free energy of the two dimensional Bose gas","version":1},"reference_index":20,"source":"pdf_text","source_observed_at":"2026-05-10T15:53:05.366859Z"},"links":{"citing_paper":"/paper/2604.10270"},"observation_digest":"sha256:26f212d409136172e3094b5b86504dcc11537eebe3f3271d2018cc9ef1355340","observation_id":"542d1987-fd0b-41ba-beb8-e9122945af98","resolution":{"observed_at":"2026-05-17T18:12:02.898145Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-05T06:32:48.257954+00:00","source":"crossref"},{"observed_at":"2026-08-05T06:32:44.755628+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":"M.Kosterlitzand D","venue":null,"work_id":"214284bc-746b-4321-8229-3b5b7d03a381","year":1973},"citing_paper":{"arxiv_id":"2604.10270","last_updated":"2026-04-11T16:22:12Z","snapshot_observed_at":"2026-07-06T22:58:56.307161Z","submitted_at":"2026-04-11T16:22:12Z","title":"A second order upper bound to the free energy of the two dimensional Bose gas","version":1},"reference_index":21,"source":"pdf_text","source_observed_at":"2026-05-10T15:53:05.366859Z"},"links":{"citing_paper":"/paper/2604.10270"},"observation_digest":"sha256:a49e75263ca2cb03042510978534b0e8003abaf9dd11dbe82333769bbb3e3d20","observation_id":"8eccdbba-fd1e-4f09-864b-6ec18331b295","resolution":{"observed_at":"2026-05-17T18:12:02.890264Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-05T06:32:48.257954+00:00","source":"crossref"},{"observed_at":"2026-08-05T06:32:44.755628+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":"H.Lieb, R.Seiringer, J","venue":null,"work_id":"f42fe0df-a3bc-4bc4-a2c8-b07dd989719a","year":2005},"citing_paper":{"arxiv_id":"2604.10270","last_updated":"2026-04-11T16:22:12Z","snapshot_observed_at":"2026-07-06T22:58:56.307161Z","submitted_at":"2026-04-11T16:22:12Z","title":"A second order upper bound to the free energy of the two dimensional Bose gas","version":1},"reference_index":22,"source":"pdf_text","source_observed_at":"2026-05-10T15:53:05.366859Z"},"links":{"citing_paper":"/paper/2604.10270"},"observation_digest":"sha256:5ad7a5c38e1be21a485056459e8e30bd096afed8e9615af32200397326132eff","observation_id":"8ba1b22d-b291-4a38-9511-4d448c6c79d5","resolution":{"observed_at":"2026-05-17T18:12:02.962176Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-05T06:32:48.257954+00:00","source":"crossref"},{"observed_at":"2026-08-05T06:32:44.755628+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":"H.Lieband J.Yngvason, The ground state energy of a dilute two-dimensional bose gas,Journal of Statistical Physics103.3(2001), pp","venue":null,"work_id":"28bb5060-cee5-4b25-b583-49086fb7e57e","year":2001},"citing_paper":{"arxiv_id":"2604.10270","last_updated":"2026-04-11T16:22:12Z","snapshot_observed_at":"2026-07-06T22:58:56.307161Z","submitted_at":"2026-04-11T16:22:12Z","title":"A second order upper bound to the free energy of the two dimensional Bose gas","version":1},"reference_index":23,"source":"pdf_text","source_observed_at":"2026-05-10T15:53:05.366859Z"},"links":{"citing_paper":"/paper/2604.10270"},"observation_digest":"sha256:b06721ee9a19407957c79a9d74bca2e128925167aa209196bc78d1d4879362ca","observation_id":"da332fee-9149-4c20-9813-17719277c32a","resolution":{"observed_at":"2026-05-17T18:12:02.918746Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-05T06:32:48.257954+00:00","source":"crossref"},{"observed_at":"2026-08-05T06:32:44.755628+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":"cc127c2a-0f5a-4167-b99e-c282e2807298","year":2020},"citing_paper":{"arxiv_id":"2604.10270","last_updated":"2026-04-11T16:22:12Z","snapshot_observed_at":"2026-07-06T22:58:56.307161Z","submitted_at":"2026-04-11T16:22:12Z","title":"A second order upper bound to the free energy of the two dimensional Bose gas","version":1},"reference_index":24,"source":"pdf_text","source_observed_at":"2026-05-10T15:53:05.366859Z"},"links":{"citing_paper":"/paper/2604.10270"},"observation_digest":"sha256:9be97719dff1a40df7d6db42670911330b2f95bdbc17a7b2232ee640da3013d7","observation_id":"97d8db35-8ede-498c-abef-a5cb276fad6b","resolution":{"observed_at":"2026-05-17T18:12:02.938153Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-05T06:32:48.257954+00:00","source":"crossref"},{"observed_at":"2026-08-05T06:32:44.755628+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":"D.Merminand H.W agner, Absence of Ferromagnetism or Antiferromagnetism in One- or Two-Dimensional Isotropic Heisenberg Models,Phys","venue":null,"work_id":"79da29a0-0f95-4fc0-ae8e-cf9fdc25d48f","year":1966},"citing_paper":{"arxiv_id":"2604.10270","last_updated":"2026-04-11T16:22:12Z","snapshot_observed_at":"2026-07-06T22:58:56.307161Z","submitted_at":"2026-04-11T16:22:12Z","title":"A second order upper bound to the free energy of the two dimensional Bose gas","version":1},"reference_index":25,"source":"pdf_text","source_observed_at":"2026-05-10T15:53:05.366859Z"},"links":{"citing_paper":"/paper/2604.10270"},"observation_digest":"sha256:790c50384018f831cbbb0a16711c0f90d47dabb165c7325c603e1b9f8f41f788","observation_id":"49f82b38-2158-4c4a-b633-734d98cfd146","resolution":{"observed_at":"2026-05-17T18:12:02.954512Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-05T06:32:48.257954+00:00","source":"crossref"},{"observed_at":"2026-08-05T06:32:44.755628+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":"bcf1c19d-c3d6-4c4f-aa3d-71b51922d82d","year":2003},"citing_paper":{"arxiv_id":"2604.10270","last_updated":"2026-04-11T16:22:12Z","snapshot_observed_at":"2026-07-06T22:58:56.307161Z","submitted_at":"2026-04-11T16:22:12Z","title":"A second order upper bound to the free energy of the two dimensional Bose gas","version":1},"reference_index":26,"source":"pdf_text","source_observed_at":"2026-05-10T15:53:05.366859Z"},"links":{"citing_paper":"/paper/2604.10270"},"observation_digest":"sha256:b2e5abe327d330c3cbb722a2020adf6cb3bb1b98043268f6c344ce09f532444e","observation_id":"9e932cbd-403c-4dcb-a970-799db6633edc","resolution":{"observed_at":"2026-05-17T18:10:05.337748Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-05T06:32:48.257954+00:00","source":"crossref"},{"observed_at":"2026-08-05T06:32:44.755628+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":"4aec138b-9baa-4f4c-b288-6309dfbbee30","year":2009},"citing_paper":{"arxiv_id":"2604.10270","last_updated":"2026-04-11T16:22:12Z","snapshot_observed_at":"2026-07-06T22:58:56.307161Z","submitted_at":"2026-04-11T16:22:12Z","title":"A second order upper bound to the free energy of the two dimensional Bose gas","version":1},"reference_index":27,"source":"pdf_text","source_observed_at":"2026-05-10T15:53:05.366859Z"},"links":{"citing_paper":"/paper/2604.10270"},"observation_digest":"sha256:654d5c612286491384e73efd85560bd6442cfe503bdfd821c4300322b38f6330","observation_id":"6cc560e5-9bcd-41a1-aa45-b4096ae22d4f","resolution":{"observed_at":"2026-05-17T18:10:05.340782Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-05T06:32:48.257954+00:00","source":"crossref"},{"observed_at":"2026-08-05T06:32:44.755628+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.Nielsenand I","venue":null,"work_id":"2b7be0ce-9fb2-4873-94c2-b38341c50ab2","year":2012},"citing_paper":{"arxiv_id":"2604.10270","last_updated":"2026-04-11T16:22:12Z","snapshot_observed_at":"2026-07-06T22:58:56.307161Z","submitted_at":"2026-04-11T16:22:12Z","title":"A second order upper bound to the free energy of the two dimensional Bose gas","version":1},"reference_index":28,"source":"pdf_text","source_observed_at":"2026-05-10T15:53:05.366859Z"},"links":{"citing_paper":"/paper/2604.10270"},"observation_digest":"sha256:996bd552daf47e7cc162d45dd4d382326f52ceb2d2a7392e41ff266606bcd527","observation_id":"ecdbd124-1ea1-4402-9f64-58a5e769f4e0","resolution":{"observed_at":"2026-05-17T18:10:05.347735Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-05T06:32:48.257954+00:00","source":"crossref"},{"observed_at":"2026-08-05T06:32:44.755628+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":"W.Robinson, The Thermodynamic Pressure in Quantum Statistical Mechanics,9, Lecture Notes in Physics, Berlin, Heidelberg: Springer Berlin Heidelberg, (1971)","venue":null,"work_id":"b4ff1a4f-47fa-4c7e-997e-62182b21aa9d","year":1971},"citing_paper":{"arxiv_id":"2604.10270","last_updated":"2026-04-11T16:22:12Z","snapshot_observed_at":"2026-07-06T22:58:56.307161Z","submitted_at":"2026-04-11T16:22:12Z","title":"A second order upper bound to the free energy of the two dimensional Bose gas","version":1},"reference_index":29,"source":"pdf_text","source_observed_at":"2026-05-10T15:53:05.366859Z"},"links":{"citing_paper":"/paper/2604.10270"},"observation_digest":"sha256:8b4a4554a6f6dac6b3708d4516e945fee357d4b80f47a46be68b5104547cf0fb","observation_id":"6eb514f6-4d46-4b08-87e7-a60c39c50bc4","resolution":{"observed_at":"2026-05-17T18:10:05.344592Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-05T06:32:48.257954+00:00","source":"crossref"},{"observed_at":"2026-08-05T06:32:44.755628+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":"3ca40924-8cfc-4db1-90c4-8b270a4af8cf","year":1969},"citing_paper":{"arxiv_id":"2604.10270","last_updated":"2026-04-11T16:22:12Z","snapshot_observed_at":"2026-07-06T22:58:56.307161Z","submitted_at":"2026-04-11T16:22:12Z","title":"A second order upper bound to the free energy of the two dimensional Bose gas","version":1},"reference_index":30,"source":"pdf_text","source_observed_at":"2026-05-10T15:53:05.366859Z"},"links":{"citing_paper":"/paper/2604.10270"},"observation_digest":"sha256:2dcab8de58d321d6e8a89cc17139b72ac712176403db3f675bad1e577b086753","observation_id":"02059f20-fbff-4145-9b19-02e6da42ce58","resolution":{"observed_at":"2026-05-17T18:12:02.915537Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-05T06:32:48.257954+00:00","source":"crossref"},{"observed_at":"2026-08-05T06:32:44.755628+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":"b7cbf956-11e2-4f91-8ab2-bbed326535a3","year":1971},"citing_paper":{"arxiv_id":"2604.10270","last_updated":"2026-04-11T16:22:12Z","snapshot_observed_at":"2026-07-06T22:58:56.307161Z","submitted_at":"2026-04-11T16:22:12Z","title":"A second order upper bound to the free energy of the two dimensional Bose gas","version":1},"reference_index":31,"source":"pdf_text","source_observed_at":"2026-05-10T15:53:05.366859Z"},"links":{"citing_paper":"/paper/2604.10270"},"observation_digest":"sha256:2f0ebd05266596e65df39ac75a6f24d4a5824204aa4767747afc83b06b71081e","observation_id":"6c3cfc26-12df-4af9-b975-ff9259b45b93","resolution":{"observed_at":"2026-05-17T18:10:05.331460Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-05T06:32:48.257954+00:00","source":"crossref"},{"observed_at":"2026-08-05T06:32:44.755628+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":"045c2292-67ea-4e80-88a0-f7aabe9ca04a","year":2008},"citing_paper":{"arxiv_id":"2604.10270","last_updated":"2026-04-11T16:22:12Z","snapshot_observed_at":"2026-07-06T22:58:56.307161Z","submitted_at":"2026-04-11T16:22:12Z","title":"A second order upper bound to the free energy of the two dimensional Bose gas","version":1},"reference_index":32,"source":"pdf_text","source_observed_at":"2026-05-10T15:53:05.366859Z"},"links":{"citing_paper":"/paper/2604.10270"},"observation_digest":"sha256:2dbe1b18f9c5139440e48a75658dbcad8d7edf02d6c15b49f28c8d92ced8ad03","observation_id":"4541b8df-51f5-4376-9230-926018ba378b","resolution":{"observed_at":"2026-05-17T18:10:05.334806Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-05T06:32:48.257954+00:00","source":"crossref"},{"observed_at":"2026-08-05T06:32:44.755628+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":"199a337c-6ba6-4b0b-82e9-df9db065fb4b","year":2006},"citing_paper":{"arxiv_id":"2604.10270","last_updated":"2026-04-11T16:22:12Z","snapshot_observed_at":"2026-07-06T22:58:56.307161Z","submitted_at":"2026-04-11T16:22:12Z","title":"A second order upper bound to the free energy of the two dimensional Bose gas","version":1},"reference_index":33,"source":"pdf_text","source_observed_at":"2026-05-10T15:53:05.366859Z"},"links":{"citing_paper":"/paper/2604.10270"},"observation_digest":"sha256:10b423366f9ddf73e07dcf691655364829f89d9e345096dfee779db3881f5325","observation_id":"92f571a4-55be-4298-a0e4-627a4cf20640","resolution":{"observed_at":"2026-05-17T18:12:02.926439Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-05T06:32:48.257954+00:00","source":"crossref"},{"observed_at":"2026-08-05T06:32:44.755628+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":"P.Solovej, Mathematical physics of dilute Bose gases,Comptes Rendus","venue":null,"work_id":"669da71d-b371-49be-87c4-fe8bef102f0e","year":2025},"citing_paper":{"arxiv_id":"2604.10270","last_updated":"2026-04-11T16:22:12Z","snapshot_observed_at":"2026-07-06T22:58:56.307161Z","submitted_at":"2026-04-11T16:22:12Z","title":"A second order upper bound to the free energy of the two dimensional Bose gas","version":1},"reference_index":34,"source":"pdf_text","source_observed_at":"2026-05-10T15:53:05.366859Z"},"links":{"citing_paper":"/paper/2604.10270"},"observation_digest":"sha256:c0c0488269c389d1eb2e0b57fbdd58aab03cdeca1dd288d9a1dc426f51977bc3","observation_id":"c1a4e9cf-4463-4c59-a6b8-2d9639c2380d","resolution":{"observed_at":"2026-05-17T18:12:02.935428Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-05T06:32:48.257954+00:00","source":"crossref"},{"observed_at":"2026-08-05T06:32:44.755628+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":"S.Vladimirov, Equations of mathematical physics, Illustrated reprint,3, Monographs and textbooks in pure and applied mathematics, New York: M.Dekker, (1971)","venue":null,"work_id":"6474e2f0-3296-4d70-8556-d730f2975420","year":1971},"citing_paper":{"arxiv_id":"2604.10270","last_updated":"2026-04-11T16:22:12Z","snapshot_observed_at":"2026-07-06T22:58:56.307161Z","submitted_at":"2026-04-11T16:22:12Z","title":"A second order upper bound to the free energy of the two dimensional Bose gas","version":1},"reference_index":35,"source":"pdf_text","source_observed_at":"2026-05-10T15:53:05.366859Z"},"links":{"citing_paper":"/paper/2604.10270"},"observation_digest":"sha256:eead6a837f73ed8bb496327c302c5a71c649ae5172339169f957197ac356283f","observation_id":"0be8a554-3426-4865-a24a-4ca5688230fc","resolution":{"observed_at":"2026-05-17T18:12:02.943545Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-05T06:32:48.257954+00:00","source":"crossref"},{"observed_at":"2026-08-05T06:32:44.755628+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":"5293046f-ca1c-41eb-bf0f-a16501febc3a","year":2010},"citing_paper":{"arxiv_id":"2604.10270","last_updated":"2026-04-11T16:22:12Z","snapshot_observed_at":"2026-07-06T22:58:56.307161Z","submitted_at":"2026-04-11T16:22:12Z","title":"A second order upper bound to the free energy of the two dimensional Bose gas","version":1},"reference_index":36,"source":"pdf_text","source_observed_at":"2026-05-10T15:53:05.366859Z"},"links":{"citing_paper":"/paper/2604.10270"},"observation_digest":"sha256:c2b6523637e88c0cca992049bcdd40c5dbc87d8267033af253c1c878b8f958a2","observation_id":"e7b4b6f3-e6f3-4e80-928f-c76330e7c579","resolution":{"observed_at":"2026-05-17T18:12:02.912784Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-05T06:32:48.257954+00:00","source":"crossref"},{"observed_at":"2026-08-05T06:32:44.755628+00:00","source":"retraction_watch"}],"state":"measured"}}],"paper":{"arxiv_id":"2604.10270","last_updated":"2026-04-11T16:22:12Z","latest_version":1,"primary_category":"math-ph","snapshot_observed_at":"2026-07-06T22:58:56.307161Z","submitted_at":"2026-04-11T16:22:12Z","title":"A second order upper bound to the free energy of the two dimensional Bose gas"},"reference_resolution":{"displayed":36,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":16,"verified_exact":4,"verified_fuzzy":16},"total_outbound_references":36},"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":"2026-08-05T06:32:48.257954+00:00","source":"crossref"},{"observed_at":"2026-08-05T06:32:44.755628+00:00","source":"retraction_watch"}],"thesis":"As of 6 August 2026, this Paper Citation Record lists 36 of 36 outbound references and 0 inbound Pith citation observations for arXiv:2604.10270."}