Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-05-10T15:53:05.366859Z
Paper Citation Record · LEDGER
A second order upper bound to the free energy of the two dimensional Bose gas
As of 5 August 2026, this Paper Citation Record lists 36 of 36 outbound references and 0 inbound Pith citation observations for arXiv:2604.10270.
A citation records a reference. It does not transfer a finding from one paper to another.
Coverage vector
One-hop event checks from named stored sources.
Source: scholarly_work_events, retraction_status_cache, observed 2026-08-05T06:32:48.257954+00:00
Pith citing papers itemized under the disclosed page cap.
Source: paper_references, paper_reference_links
A source-named dated measurement, never combined with another source.
Source: cited_works
Reference resolution
36 of 36 outbound references displayed
- verified exact4
- verified fuzzy16
- unresolved16
- parse uncertain0
- malformed identifier0
- metadata mismatch0
External citation measurements
No source-named external measurement is stored.
Outbound references
Observation fb3c2509-eaca-419e-89a7-9079cf5c094c · outbound
This paper cites an unresolved cited work.
A second order upper bound to the free energy of the two dimensional Bose gas Unresolved cited work
Reference 1
- Resolution
- unresolved
- raw_fallback, observed 2026-05-17T18:12:02.878713Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.
Observation 20458d41-0575-446c-95a9-b4923127e02d · outbound
This paper cites Basti, C.
A second order upper bound to the free energy of the two dimensional Bose gas Basti, C
Reference 2
- Resolution
- verified exact
- arxiv_id, observed 2026-05-11T09:41:03.564463Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.
Observation f267b4b5-1774-487b-a0ae-e4491a17f6da · outbound
This paper cites an unresolved cited work.
A second order upper bound to the free energy of the two dimensional Bose gas Unresolved cited work
Reference 3
- Resolution
- unresolved
- raw_fallback, observed 2026-05-17T18:12:02.932067Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.
Observation de487611-b3a7-412b-bde8-5e8cd47a198c · outbound
This paper cites an unresolved cited work.
A second order upper bound to the free energy of the two dimensional Bose gas Unresolved cited work
Reference 4
- Resolution
- unresolved
- raw_fallback, observed 2026-05-17T18:12:02.887213Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.
Observation ecddd91f-2bc1-457c-ae89-ac984846d708 · outbound
This paper cites an unresolved cited work.
A second order upper bound to the free energy of the two dimensional Bose gas Unresolved cited work
Reference 5
- Resolution
- unresolved
- raw_fallback, observed 2026-05-17T18:12:02.921104Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.
Observation 5757a3e5-f16a-4e60-8f89-7fd6e3eb13f7 · outbound
This paper cites L.Berezinskii, Destruction of Long-range Order in One-dimensional and Two-dimen- sional Systems Possessing a Continuous Symmetry Group.
A second order upper bound to the free energy of the two dimensional Bose gas L.Berezinskii, Destruction of Long-range Order in One-dimensional and Two-dimen- sional Systems Possessing a Continuous Symmetry Group
Reference 6
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-17T18:10:05.351285Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.
Observation 25ee3ef9-995d-4ba5-a391-a19e9d00da59 · outbound
This paper cites N.Bose, Plancks Gesetz und Lichtquantenhypothese,Z.
A second order upper bound to the free energy of the two dimensional Bose gas N.Bose, Plancks Gesetz und Lichtquantenhypothese,Z
Reference 7
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-17T18:12:02.894659Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.
Observation d507d577-15bd-4071-b5a0-dffa3ef0f8cb · outbound
This paper cites Henri Poincar´ e24.8(2023), pp.
A second order upper bound to the free energy of the two dimensional Bose gas Henri Poincar´ e24.8(2023), pp
Reference 8
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-17T18:12:02.907189Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.
Observation 867a5079-44c3-416f-870d-a307d6b494dd · outbound
This paper cites Y.Chernyand A.
A second order upper bound to the free energy of the two dimensional Bose gas Y.Chernyand A
Reference 9
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-17T18:12:02.884097Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.
Observation 527d00bb-aecd-43c2-bf88-21bae37ab63a · outbound
This paper cites an unresolved cited work.
A second order upper bound to the free energy of the two dimensional Bose gas Unresolved cited work
Reference 10
- Resolution
- unresolved
- raw_fallback, observed 2026-05-17T18:12:02.909941Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.
Observation 832891a8-edee-4b50-a2f4-5796ffb228f9 · outbound
This paper cites J.Dyson, Ground-state energy of a hard-sphere gas,Phys.
A second order upper bound to the free energy of the two dimensional Bose gas J.Dyson, Ground-state energy of a hard-sphere gas,Phys
Reference 11
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-17T18:12:02.929409Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.
Observation 6c671195-e120-4b47-9d46-a045cde9f6f3 · outbound
This paper cites Zweite Abhandlung.Sitzungs- berichte der Preußischen Akademie der Wissenschaften, I(1925), pp.
A second order upper bound to the free energy of the two dimensional Bose gas Zweite Abhandlung.Sitzungs- berichte der Preußischen Akademie der Wissenschaften, I(1925), pp
Reference 12
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-17T18:12:02.923810Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.
Observation 7c4955bb-50d3-4200-86d1-c02b6048f230 · outbound
This paper cites an unresolved cited work.
A second order upper bound to the free energy of the two dimensional Bose gas Unresolved cited work
Reference 13
- Resolution
- unresolved
- raw_fallback, observed 2026-05-17T18:12:02.940814Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.
Observation 6707812b-c0b0-418f-af67-d1a5fdabbf73 · outbound
This paper cites an unresolved cited work.
A second order upper bound to the free energy of the two dimensional Bose gas Unresolved cited work
Reference 14
- Resolution
- unresolved
- raw_fallback, observed 2026-05-17T18:12:02.901058Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.
Observation a9a063ef-4e0a-441d-9b8c-9bd9146c2f70 · outbound
This paper cites an unresolved cited work.
A second order upper bound to the free energy of the two dimensional Bose gas Unresolved cited work
Reference 15
- Resolution
- unresolved
- raw_fallback, observed 2026-05-17T18:12:02.904127Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.
Observation e792a7af-6825-410f-afc7-9870508e441a · outbound
This paper cites The free energy of dilute Bose gases at low temperatures interacting via strong potentials.
A second order upper bound to the free energy of the two dimensional Bose gas The free energy of dilute Bose gases at low temperatures interacting via strong potentials
Reference 16
- Resolution
- verified exact
- arxiv_id, observed 2026-05-11T09:41:03.553746Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.
Observation 9f9435e0-020d-4291-bdc8-27a88c4da5fe · outbound
This paper cites The free energy of dilute Bose gases at low temperatures.
A second order upper bound to the free energy of the two dimensional Bose gas The free energy of dilute Bose gases at low temperatures
Reference 17
- Resolution
- verified exact
- arxiv_id, observed 2026-05-11T09:41:03.518941Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.
Observation cfda91a6-2b72-4153-9de4-033471e4a031 · outbound
This paper cites Upper Bound for the Free Energy of Dilute Bose Gases at Low Temperature.
A second order upper bound to the free energy of the two dimensional Bose gas Upper Bound for the Free Energy of Dilute Bose Gases at Low Temperature
Reference 18
- Resolution
- verified exact
- arxiv_id, observed 2026-05-11T09:41:03.532737Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.
Observation a1db01de-8532-447f-b138-39c78abe9bc9 · outbound
This paper cites C.Hohenberg, Existence of long-range order in one and two dimensions,Phys.
A second order upper bound to the free energy of the two dimensional Bose gas C.Hohenberg, Existence of long-range order in one and two dimensions,Phys
Reference 19
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-17T18:12:02.946148Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.
Observation 542d1987-fd0b-41ba-beb8-e9122945af98 · outbound
This paper cites Rev.98.5(1955), pp.
A second order upper bound to the free energy of the two dimensional Bose gas Rev.98.5(1955), pp
Reference 20
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-17T18:12:02.898145Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.
Observation 8eccdbba-fd1e-4f09-864b-6ec18331b295 · outbound
This paper cites M.Kosterlitzand D.
A second order upper bound to the free energy of the two dimensional Bose gas M.Kosterlitzand D
Reference 21
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-17T18:12:02.890264Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.
Observation 8ba1b22d-b291-4a38-9511-4d448c6c79d5 · outbound
This paper cites H.Lieb, R.Seiringer, J.
A second order upper bound to the free energy of the two dimensional Bose gas H.Lieb, R.Seiringer, J
Reference 22
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-17T18:12:02.962176Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.
Observation da332fee-9149-4c20-9813-17719277c32a · outbound
This paper cites H.Lieband J.Yngvason, The ground state energy of a dilute two-dimensional bose gas,Journal of Statistical Physics103.3(2001), pp.
A second order upper bound to the free energy of the two dimensional Bose gas H.Lieband J.Yngvason, The ground state energy of a dilute two-dimensional bose gas,Journal of Statistical Physics103.3(2001), pp
Reference 23
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-17T18:12:02.918746Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.
Observation 97d8db35-8ede-498c-abef-a5cb276fad6b · outbound
This paper cites an unresolved cited work.
A second order upper bound to the free energy of the two dimensional Bose gas Unresolved cited work
Reference 24
- Resolution
- unresolved
- raw_fallback, observed 2026-05-17T18:12:02.938153Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.
Observation 49f82b38-2158-4c4a-b633-734d98cfd146 · outbound
This paper cites D.Merminand H.W agner, Absence of Ferromagnetism or Antiferromagnetism in One- or Two-Dimensional Isotropic Heisenberg Models,Phys.
A second order upper bound to the free energy of the two dimensional Bose gas D.Merminand H.W agner, Absence of Ferromagnetism or Antiferromagnetism in One- or Two-Dimensional Isotropic Heisenberg Models,Phys
Reference 25
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-17T18:12:02.954512Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.
Observation 9e932cbd-403c-4dcb-a970-799db6633edc · outbound
This paper cites an unresolved cited work.
A second order upper bound to the free energy of the two dimensional Bose gas Unresolved cited work
Reference 26
- Resolution
- unresolved
- raw_fallback, observed 2026-05-17T18:10:05.337748Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.
Observation 6cc560e5-9bcd-41a1-aa45-b4096ae22d4f · outbound
This paper cites an unresolved cited work.
A second order upper bound to the free energy of the two dimensional Bose gas Unresolved cited work
Reference 27
- Resolution
- unresolved
- raw_fallback, observed 2026-05-17T18:10:05.340782Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.
Observation ecdbd124-1ea1-4402-9f64-58a5e769f4e0 · outbound
This paper cites A.Nielsenand I.
A second order upper bound to the free energy of the two dimensional Bose gas A.Nielsenand I
Reference 28
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-17T18:10:05.347735Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.
Observation 6eb514f6-4d46-4b08-87e7-a60c39c50bc4 · outbound
This paper cites W.Robinson, The Thermodynamic Pressure in Quantum Statistical Mechanics,9, Lecture Notes in Physics, Berlin, Heidelberg: Springer Berlin Heidelberg, (1971).
A second order upper bound to the free energy of the two dimensional Bose gas W.Robinson, The Thermodynamic Pressure in Quantum Statistical Mechanics,9, Lecture Notes in Physics, Berlin, Heidelberg: Springer Berlin Heidelberg, (1971)
Reference 29
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-17T18:10:05.344592Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.
Observation 02059f20-fbff-4145-9b19-02e6da42ce58 · outbound
This paper cites an unresolved cited work.
A second order upper bound to the free energy of the two dimensional Bose gas Unresolved cited work
Reference 30
- Resolution
- unresolved
- raw_fallback, observed 2026-05-17T18:12:02.915537Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.
Observation 6c3cfc26-12df-4af9-b975-ff9259b45b93 · outbound
This paper cites an unresolved cited work.
A second order upper bound to the free energy of the two dimensional Bose gas Unresolved cited work
Reference 31
- Resolution
- unresolved
- raw_fallback, observed 2026-05-17T18:10:05.331460Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.
Observation 4541b8df-51f5-4376-9230-926018ba378b · outbound
This paper cites an unresolved cited work.
A second order upper bound to the free energy of the two dimensional Bose gas Unresolved cited work
Reference 32
- Resolution
- unresolved
- raw_fallback, observed 2026-05-17T18:10:05.334806Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.
Observation 92f571a4-55be-4298-a0e4-627a4cf20640 · outbound
This paper cites an unresolved cited work.
A second order upper bound to the free energy of the two dimensional Bose gas Unresolved cited work
Reference 33
- Resolution
- unresolved
- raw_fallback, observed 2026-05-17T18:12:02.926439Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.
Observation c1a4e9cf-4463-4c59-a6b8-2d9639c2380d · outbound
This paper cites P.Solovej, Mathematical physics of dilute Bose gases,Comptes Rendus.
A second order upper bound to the free energy of the two dimensional Bose gas P.Solovej, Mathematical physics of dilute Bose gases,Comptes Rendus
Reference 34
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-17T18:12:02.935428Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.
Observation 0be8a554-3426-4865-a24a-4ca5688230fc · outbound
This paper cites S.Vladimirov, Equations of mathematical physics, Illustrated reprint,3, Monographs and textbooks in pure and applied mathematics, New York: M.Dekker, (1971).
A second order upper bound to the free energy of the two dimensional Bose gas S.Vladimirov, Equations of mathematical physics, Illustrated reprint,3, Monographs and textbooks in pure and applied mathematics, New York: M.Dekker, (1971)
Reference 35
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-17T18:12:02.943545Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.
Observation e7b4b6f3-e6f3-4e80-928f-c76330e7c579 · outbound
This paper cites an unresolved cited work.
A second order upper bound to the free energy of the two dimensional Bose gas Unresolved cited work
Reference 36
- Resolution
- unresolved
- raw_fallback, observed 2026-05-17T18:12:02.912784Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.
Pith citing papers
No inbound Pith citation observations are available.