Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-07T10:48:08.323387Z
Paper Citation Record · LEDGER
Gelfand hypergeometric function as a solution to the 2-dimensional Toda-Hirota equation
As of 21 August 2026, this Paper Citation Record lists 16 of 16 outbound references and 1 inbound Pith citation observation for arXiv:2506.04638.
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 2026-08-21T06:32:19.484+00:00
Pith citing papers itemized under the disclosed page cap.
Source: paper_references, paper_reference_links, observed 2026-08-07T04:26:50.047589Z
A source-named dated measurement, never combined with another source.
Source: pith, observed 2026-08-07T04:26:50.921386Z
Reference resolution
16 of 16 outbound references displayed
- verified exact0
- verified fuzzy5
- unresolved11
- parse uncertain0
- malformed identifier0
- metadata mismatch0
External citation measurements
No source-named external measurement is stored.
Outbound references
Observation 6a6a569c-6352-4992-b31d-af8136ad94c7 · outbound
This paper cites an unresolved cited work.
Gelfand hypergeometric function as a solution to the 2-dimensional Toda-Hirota equation Unresolved cited work
Reference 1
- Resolution
- unresolved
- raw_fallback, observed 2026-08-07T10:48:08.583864Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation b150e95e-5159-4347-aaff-39cf839ea5e8 · outbound
This paper cites an unresolved cited work.
Gelfand hypergeometric function as a solution to the 2-dimensional Toda-Hirota equation Unresolved cited work
Reference 2
- Resolution
- unresolved
- raw_fallback, observed 2026-08-07T10:48:08.571043Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation d41aa24e-f0ba-40c4-9094-0f9b91cc87ec · outbound
This paper cites et al., Higher transcendental functions, vol I,II, R.
Gelfand hypergeometric function as a solution to the 2-dimensional Toda-Hirota equation et al., Higher transcendental functions, vol I,II, R
Reference 3
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T10:48:08.555958Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation e963bc87-644f-48e6-8bfd-b43c13d08661 · outbound
This paper cites an unresolved cited work.
Gelfand hypergeometric function as a solution to the 2-dimensional Toda-Hirota equation Unresolved cited work
Reference 4
- Resolution
- unresolved
- raw_fallback, observed 2026-08-07T10:48:08.541339Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation ebb1a867-1445-4dd9-8385-9e4e2511e3f6 · outbound
This paper cites an unresolved cited work.
Gelfand hypergeometric function as a solution to the 2-dimensional Toda-Hirota equation Unresolved cited work
Reference 5
- Resolution
- unresolved
- raw_fallback, observed 2026-08-07T10:48:08.525934Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation 54140907-1947-4458-aa79-d6c29bc5e66d · outbound
This paper cites an unresolved cited work.
Gelfand hypergeometric function as a solution to the 2-dimensional Toda-Hirota equation Unresolved cited work
Reference 6
- Resolution
- unresolved
- raw_fallback, observed 2026-08-07T10:48:08.512200Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation 71c48385-672b-4cb3-a3d7-975b8e4f2fff · outbound
This paper cites Yoshida, M., From Gauss to Painlevé, Vieweg Verlag, (1991).
Gelfand hypergeometric function as a solution to the 2-dimensional Toda-Hirota equation Yoshida, M., From Gauss to Painlevé, Vieweg Verlag, (1991)
Reference 7
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T10:48:08.493425Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation ca7eff00-0b2b-4ee9-b38a-01ae73135ac8 · outbound
This paper cites an unresolved cited work.
Gelfand hypergeometric function as a solution to the 2-dimensional Toda-Hirota equation Unresolved cited work
Reference 8
- Resolution
- unresolved
- raw_fallback, observed 2026-08-07T10:48:08.479834Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation 958a0f8b-a80f-4ba7-b27a-28220d75f9e6 · outbound
This paper cites Kimura, Y.
Gelfand hypergeometric function as a solution to the 2-dimensional Toda-Hirota equation Kimura, Y
Reference 9
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T10:48:08.464638Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation 7816b831-0431-4ca3-93c1-93a9ad31e36d · outbound
This paper cites Japan Acad.
Gelfand hypergeometric function as a solution to the 2-dimensional Toda-Hirota equation Japan Acad
Reference 10
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T10:48:08.450811Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation d7c855c0-f0dc-4ae7-bd4d-dcc2662f0061 · outbound
This paper cites an unresolved cited work.
Gelfand hypergeometric function as a solution to the 2-dimensional Toda-Hirota equation Unresolved cited work
Reference 11
- Resolution
- unresolved
- raw_fallback, observed 2026-08-07T10:48:08.430751Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation dfc669ee-be3a-4356-bb3a-c0349d3c1803 · outbound
This paper cites an unresolved cited work.
Gelfand hypergeometric function as a solution to the 2-dimensional Toda-Hirota equation Unresolved cited work
Reference 12
- Resolution
- unresolved
- raw_fallback, observed 2026-08-07T10:48:08.415624Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation 57cb5714-f8fe-4791-954a-b3f52c5ea7f1 · outbound
This paper cites an unresolved cited work.
Gelfand hypergeometric function as a solution to the 2-dimensional Toda-Hirota equation Unresolved cited work
Reference 13
- Resolution
- unresolved
- raw_fallback, observed 2026-08-07T10:48:08.402302Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation e453041e-36e6-496a-970e-ffc2bbf94ba8 · outbound
This paper cites an unresolved cited work.
Gelfand hypergeometric function as a solution to the 2-dimensional Toda-Hirota equation Unresolved cited work
Reference 14
- Resolution
- unresolved
- raw_fallback, observed 2026-08-07T10:48:08.388024Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation 54b1a508-d3e1-40e2-ad7a-539b10d8e454 · outbound
This paper cites an unresolved cited work.
Gelfand hypergeometric function as a solution to the 2-dimensional Toda-Hirota equation Unresolved cited work
Reference 15
- Resolution
- unresolved
- raw_fallback, observed 2026-08-07T10:48:08.371796Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation d0df2a7b-07a2-4e15-b296-8016e6d33a5f · outbound
This paper cites Physics Letters A 236 (1997) 21-29.
Gelfand hypergeometric function as a solution to the 2-dimensional Toda-Hirota equation Physics Letters A 236 (1997) 21-29
Reference 16
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T10:48:08.357464Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Pith citing papers
Observation be941e23-4c41-4d90-a725-4f4001f6b82e · inbound
Gelfand hypergeometric functions as solutions to the 2-dimensional Toda-Hirota equations II cites this paper.
Gelfand hypergeometric functions as solutions to the 2-dimensional Toda-Hirota equations II Gelfand hypergeometric function as a solution to the 2-dimensional Toda-Hirota equation
Reference 9
- Resolution
- verified exact
- local_arxiv, observed 2026-08-07T04:26:51.100557Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.