Paper Citation Record · LEDGER

Third Order Upper Bound for the Ground State Energy of the Dilute Bose Gas

As of 23 August 2026, this Paper Citation Record lists 39 of 39 outbound references and 3 inbound Pith citation observations for arXiv:2506.04153.

A citation records a reference. It does not transfer a finding from one paper to another.

pith.paper-citation-record.v1
2506.04153 v1

Coverage vector

measured 39 of 39 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-07T10:56:26.731592Z

measured 42 of 42 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-23T06:30:58.430688+00:00

measured 3 of 3 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-07-02T04:32:57.533931Z

measured 0 of 1 external citation measurements

A source-named dated measurement, never combined with another source.

Source: arxiv_reference, observed 2026-07-02T04:36:35.910169Z

Reference resolution

39 of 39 outbound references displayed

verified exact4
verified fuzzy12
unresolved23
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 167dc738-da09-4688-b8d2-98433e768c5f · outbound

This paper cites Adhikari, C.

Third Order Upper Bound for the Ground State Energy of the Dilute Bose Gas Adhikari, C

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T10:56:27.348825Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation fe202ff7-584c-47e6-87ec-6de46317a0a2 · outbound

This paper cites Upper bound for the ground state energy of a dilute Bose gas of hard spheres.

Third Order Upper Bound for the Ground State Energy of the Dilute Bose Gas Upper bound for the ground state energy of a dilute Bose gas of hard spheres

Reference 2

Resolution: verified exact; local_arxiv, observed 2026-08-07T10:56:26.899166Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation e8521390-5e11-4895-b86f-148b86abf854 · outbound

This paper cites Basti, S.

Third Order Upper Bound for the Ground State Energy of the Dilute Bose Gas Basti, S

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T10:56:27.334657Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation b5a5d045-7f31-4ea0-834e-442e1b21e1af · outbound

This paper cites Basti, S.

Third Order Upper Bound for the Ground State Energy of the Dilute Bose Gas Basti, S

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T10:56:27.319798Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 6680bef2-223d-497d-84ba-ee840bde6fea · outbound

This paper cites Boccato, C.

Third Order Upper Bound for the Ground State Energy of the Dilute Bose Gas Boccato, C

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T10:56:27.303476Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 68cae0f8-1c0f-4359-95af-877a4c72ae75 · outbound

This paper cites Boccato, C.

Third Order Upper Bound for the Ground State Energy of the Dilute Bose Gas Boccato, C

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T10:56:27.289563Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 3ccf6f62-3475-4931-9076-00f7a6c3453e · outbound

This paper cites Upper bound for the grand canonical free energy of the Bose gas in the Gross-Pitaevskii limit.

Third Order Upper Bound for the Ground State Energy of the Dilute Bose Gas Upper bound for the grand canonical free energy of the Bose gas in the Gross-Pitaevskii limit

Reference 7

Resolution: verified exact; local_arxiv, observed 2026-08-07T10:56:26.878311Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 6e959ab4-2ef3-4a5e-a0f8-18297b520486 · outbound

This paper cites an unresolved cited work.

Third Order Upper Bound for the Ground State Energy of the Dilute Bose Gas Unresolved cited work

Reference 8

Resolution: unresolved; raw_fallback, observed 2026-08-07T10:56:27.273586Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation c2d1ead0-885d-4e98-b89b-82cea2f57b8b · outbound

This paper cites Third order corrections to the ground state energy of a Bose gas in the Gross-Pitaevskii regime.

Third Order Upper Bound for the Ground State Energy of the Dilute Bose Gas Third order corrections to the ground state energy of a Bose gas in the Gross-Pitaevskii regime

Reference 9

Resolution: verified exact; local_arxiv, observed 2026-08-07T10:56:26.857665Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation de634db4-b442-4557-a88d-a88d75afb49a · outbound

This paper cites Brennecke, M.

Third Order Upper Bound for the Ground State Energy of the Dilute Bose Gas Brennecke, M

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T10:56:27.244010Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation adb77af7-7a18-4edc-9787-8844ad6bd373 · outbound

This paper cites Brennecke, M.

Third Order Upper Bound for the Ground State Energy of the Dilute Bose Gas Brennecke, M

Reference 11

Resolution: unresolved; no resolver link, observed 2026-08-07T10:56:26.606384Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 10e4638d-864c-4e44-9262-09e315cb3b7a · outbound

This paper cites Brennecke, B.

Third Order Upper Bound for the Ground State Energy of the Dilute Bose Gas Brennecke, B

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T10:56:27.218679Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 62309b6e-d876-495e-a401-185aefc64176 · outbound

This paper cites Brennecke, B.

Third Order Upper Bound for the Ground State Energy of the Dilute Bose Gas Brennecke, B

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T10:56:27.204491Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation fb069ae8-bac6-4a7b-a5da-c51c245a86de · outbound

This paper cites Diagonalizing Bose Gases in the Gross-Pitaevskii Regime and Beyond.

Third Order Upper Bound for the Ground State Energy of the Dilute Bose Gas Diagonalizing Bose Gases in the Gross-Pitaevskii Regime and Beyond

Reference 14

Resolution: unresolved; no resolver link, observed 2026-08-07T10:56:26.620984Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 8c4d35d3-7cd6-4a7d-9256-bc5d0e69f0cf · outbound

This paper cites Upper bound for the grand canonical free energy of the Bose gas in the Gross-Pitaevskii limit for general interaction potentials.

Third Order Upper Bound for the Ground State Energy of the Dilute Bose Gas Upper bound for the grand canonical free energy of the Bose gas in the Gross-Pitaevskii limit for general interaction potentials

Reference 15

Resolution: verified exact; local_arxiv, observed 2026-08-07T10:56:26.819977Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation e80ddd74-9fc7-4c3d-9989-77785eca645f · outbound

This paper cites an unresolved cited work.

Third Order Upper Bound for the Ground State Energy of the Dilute Bose Gas Unresolved cited work

Reference 16

Resolution: unresolved; raw_fallback, observed 2026-08-07T10:56:27.189802Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 92a98bf0-8072-4d50-9edf-42b78c05b514 · outbound

This paper cites Erd˝ os, B.

Third Order Upper Bound for the Ground State Energy of the Dilute Bose Gas Erd˝ os, B

Reference 17

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T10:56:27.175751Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 759cbb69-2213-4ad2-9538-a35325da584f · outbound

This paper cites Fournais, J.P.

Third Order Upper Bound for the Ground State Energy of the Dilute Bose Gas Fournais, J.P

Reference 18

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T10:56:27.160625Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 8c5785a7-c79d-42e8-875b-7c35e2a65afc · outbound

This paper cites Fournais, J.P.

Third Order Upper Bound for the Ground State Energy of the Dilute Bose Gas Fournais, J.P

Reference 19

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T10:56:27.146584Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 66b874eb-14fc-4532-885f-e4d28a914a0b · outbound

This paper cites The free energy of dilute Bose gases at low temperatures.

Third Order Upper Bound for the Ground State Energy of the Dilute Bose Gas The free energy of dilute Bose gases at low temperatures

Reference 20

Resolution: unresolved; no resolver link, observed 2026-08-07T10:56:26.648773Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation bdcaea88-be18-4bd2-9d05-4db4a74197d4 · outbound

This paper cites Upper Bound for the Free Energy of Dilute Bose Gases at Low Temperature.

Third Order Upper Bound for the Ground State Energy of the Dilute Bose Gas Upper Bound for the Free Energy of Dilute Bose Gases at Low Temperature

Reference 21

Resolution: unresolved; no resolver link, observed 2026-08-07T10:56:26.654424Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation ba1f70d0-14f7-4bbb-9d49-2d1ae21a7510 · outbound

This paper cites The free energy of dilute Bose gases at low temperatures interacting via strong potentials.

Third Order Upper Bound for the Ground State Energy of the Dilute Bose Gas The free energy of dilute Bose gases at low temperatures interacting via strong potentials

Reference 22

Resolution: unresolved; no resolver link, observed 2026-08-07T10:56:26.659030Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 0ac2e2cc-4156-4eef-93de-84eddb201c74 · outbound

This paper cites Hainzl, B.

Third Order Upper Bound for the Ground State Energy of the Dilute Bose Gas Hainzl, B

Reference 23

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T10:56:27.132525Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation cda8ff50-3430-42ec-ba3e-8d26a97251b7 · outbound

This paper cites an unresolved cited work.

Third Order Upper Bound for the Ground State Energy of the Dilute Bose Gas Unresolved cited work

Reference 24

Resolution: unresolved; raw_fallback, observed 2026-08-07T10:56:27.118087Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation d33e53b9-df12-4458-90f4-485ec51a0438 · outbound

This paper cites an unresolved cited work.

Third Order Upper Bound for the Ground State Energy of the Dilute Bose Gas Unresolved cited work

Reference 25

Resolution: unresolved; raw_fallback, observed 2026-08-07T10:56:27.103899Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 50eb37c0-568d-40d7-817a-2c66e7e554a8 · outbound

This paper cites an unresolved cited work.

Third Order Upper Bound for the Ground State Energy of the Dilute Bose Gas Unresolved cited work

Reference 26

Resolution: unresolved; raw_fallback, observed 2026-08-07T10:56:27.089927Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 9cef39be-6cf2-41d8-96b8-382e338cf665 · outbound

This paper cites an unresolved cited work.

Third Order Upper Bound for the Ground State Energy of the Dilute Bose Gas Unresolved cited work

Reference 27

Resolution: unresolved; raw_fallback, observed 2026-08-07T10:56:27.075630Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 8a04cd9c-da81-4543-90b5-e1d3233a8f20 · outbound

This paper cites an unresolved cited work.

Third Order Upper Bound for the Ground State Energy of the Dilute Bose Gas Unresolved cited work

Reference 28

Resolution: unresolved; raw_fallback, observed 2026-08-07T10:56:27.061608Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 960a0d4f-4732-4632-8080-e255f03b8981 · outbound

This paper cites an unresolved cited work.

Third Order Upper Bound for the Ground State Energy of the Dilute Bose Gas Unresolved cited work

Reference 29

Resolution: unresolved; raw_fallback, observed 2026-08-07T10:56:27.047145Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 9b0d9da6-d2b7-43c0-ade8-62f3a4c8bc4b · outbound

This paper cites an unresolved cited work.

Third Order Upper Bound for the Ground State Energy of the Dilute Bose Gas Unresolved cited work

Reference 30

Resolution: unresolved; raw_fallback, observed 2026-08-07T10:56:27.032690Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 2ca19786-000f-41ab-9ef1-0c0c79e90007 · outbound

This paper cites an unresolved cited work.

Third Order Upper Bound for the Ground State Energy of the Dilute Bose Gas Unresolved cited work

Reference 31

Resolution: unresolved; raw_fallback, observed 2026-08-07T10:56:27.018431Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 8e2e04e6-bd13-41fd-a7cd-90812f8ac77e · outbound

This paper cites an unresolved cited work.

Third Order Upper Bound for the Ground State Energy of the Dilute Bose Gas Unresolved cited work

Reference 32

Resolution: unresolved; raw_fallback, observed 2026-08-07T10:56:27.003836Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation af7ded60-c020-40a8-837e-eef441fb9bda · outbound

This paper cites an unresolved cited work.

Third Order Upper Bound for the Ground State Energy of the Dilute Bose Gas Unresolved cited work

Reference 33

Resolution: unresolved; raw_fallback, observed 2026-08-07T10:56:26.989224Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 78a9ab8b-26fc-4de4-8fd4-f39766b05643 · outbound

This paper cites an unresolved cited work.

Third Order Upper Bound for the Ground State Energy of the Dilute Bose Gas Unresolved cited work

Reference 34

Resolution: unresolved; raw_fallback, observed 2026-08-07T10:56:26.974740Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 62838aa0-e913-45e6-bb0d-f7e543a2c1bc · outbound

This paper cites an unresolved cited work.

Third Order Upper Bound for the Ground State Energy of the Dilute Bose Gas Unresolved cited work

Reference 35

Resolution: unresolved; raw_fallback, observed 2026-08-07T10:56:26.960479Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 682226a2-730d-46d0-add0-80c9082bdc4a · outbound

This paper cites an unresolved cited work.

Third Order Upper Bound for the Ground State Energy of the Dilute Bose Gas Unresolved cited work

Reference 36

Resolution: unresolved; raw_fallback, observed 2026-08-07T10:56:26.943959Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 1b0bc8e2-1900-47b5-95d3-8a12c5377516 · outbound

This paper cites an unresolved cited work.

Third Order Upper Bound for the Ground State Energy of the Dilute Bose Gas Unresolved cited work

Reference 37

Resolution: unresolved; raw_fallback, observed 2026-08-07T10:56:26.928707Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 8a4662f7-a422-4aed-aba1-678e0aa27bd5 · outbound

This paper cites an unresolved cited work.

Third Order Upper Bound for the Ground State Energy of the Dilute Bose Gas Unresolved cited work

Reference 38

Resolution: unresolved; raw_fallback, observed 2026-08-07T10:56:26.914206Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 7f893351-e32f-4e7e-984e-ba8c598de3ee · outbound

This paper cites an unresolved cited work.

Third Order Upper Bound for the Ground State Energy of the Dilute Bose Gas Unresolved cited work

Reference 77

Resolution: unresolved; raw_fallback, observed 2026-08-07T10:56:27.259428Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Pith citing papers

Observation 43e66ea3-e651-4196-92b4-c8f00e33a4d9 · inbound

Ground State Energy of Dilute Fermi Gases in 1D cites this paper.

Ground State Energy of Dilute Fermi Gases in 1D Third Order Upper Bound for the Ground State Energy of the Dilute Bose Gas

Reference 12

Resolution: verified exact; arxiv_id, observed 2026-05-18T19:31:47.103208Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 62210554-22ba-404d-9412-f4c30aa92a37 · inbound

A Note on the Construction of Trial States for the Dilute Bose Gas cites this paper.

A Note on the Construction of Trial States for the Dilute Bose Gas Third Order Upper Bound for the Ground State Energy of the Dilute Bose Gas

Reference 12

Resolution: verified exact; arxiv_id, observed 2026-05-11T04:40:59.774751Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 10be9273-07eb-4bcd-bbaa-d02e038677b9 · inbound

On the spherical symmetry and finite-range assumptions of the interaction potential in the low energy study of dilute Bose gases cites this paper.

On the spherical symmetry and finite-range assumptions of the interaction potential in the low energy study of dilute Bose gases Third Order Upper Bound for the Ground State Energy of the Dilute Bose Gas

Reference 14

Resolution: verified exact; arxiv_id, observed 2026-07-02T04:36:35.911595Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.