Paper Citation Record · LEDGER

Gelfand hypergeometric functions as solutions to the 2-dimensional Toda-Hirota equations II

As of 20 August 2026, this Paper Citation Record lists 17 of 17 outbound references and 0 inbound Pith citation observations for arXiv:2506.11426.

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

pith.paper-citation-record.v1
2506.11426 v1

Coverage vector

measured 17 of 17 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-07T04:26:50.810452Z

measured 17 of 17 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-19T06:32:44.657259+00:00

measured 0 of 0 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links

measured 0 of 1 external citation measurements

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

Source: cited_works

Reference resolution

17 of 17 outbound references displayed

verified exact1
verified fuzzy14
unresolved2
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 4b2190ef-3805-4229-b237-6cbecd2c58a0 · outbound

This paper cites Appell, J.

Gelfand hypergeometric functions as solutions to the 2-dimensional Toda-Hirota equations II Appell, J

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T04:26:53.951051Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 1464311d-6e0e-4935-bf4e-a01eee46ba68 · outbound

This paper cites Darboux, Leçon sur la Théorie Général des Surfaces, t.II, t.IV, Chelsea, New York, (1972).

Gelfand hypergeometric functions as solutions to the 2-dimensional Toda-Hirota equations II Darboux, Leçon sur la Théorie Général des Surfaces, t.II, t.IV, Chelsea, New York, (1972)

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T04:26:53.835172Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation ce62300d-1c41-4dba-a48e-471e6d202010 · outbound

This paper cites Erdelyi et al., Higher transcendental functions, vol I,II, R.

Gelfand hypergeometric functions as solutions to the 2-dimensional Toda-Hirota equations II Erdelyi et al., Higher transcendental functions, vol I,II, R

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T04:26:53.662714Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation c2bd9936-5fc4-44e7-9181-5f9d19909152 · outbound

This paper cites an unresolved cited work.

Gelfand hypergeometric functions as solutions to the 2-dimensional Toda-Hirota equations II Unresolved cited work

Reference 4

Resolution: unresolved; raw_fallback, observed 2026-08-07T04:26:53.484402Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation cd92b601-18b1-4e0c-8767-267ed531ef92 · outbound

This paper cites an unresolved cited work.

Gelfand hypergeometric functions as solutions to the 2-dimensional Toda-Hirota equations II Unresolved cited work

Reference 5

Resolution: unresolved; raw_fallback, observed 2026-08-07T04:26:53.383870Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation acca950f-2b45-4a6c-a8b4-32f4608aa502 · outbound

This paper cites Iwasaki, H.

Gelfand hypergeometric functions as solutions to the 2-dimensional Toda-Hirota equations II Iwasaki, H

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T04:26:53.209264Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 05343aa2-f506-4844-b78a-1cb1ce4d5927 · outbound

This paper cites Kametaka, Hypergeometric solutions of Toda equation, Sûrikaisekikenkyûsho Kôkyuroku 554 (1985), 26-46.

Gelfand hypergeometric functions as solutions to the 2-dimensional Toda-Hirota equations II Kametaka, Hypergeometric solutions of Toda equation, Sûrikaisekikenkyûsho Kôkyuroku 554 (1985), 26-46

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T04:26:53.036172Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation da87f14c-009c-4158-82a8-6aaec748f80a · outbound

This paper cites Kametaka, On the Euler-Poisson-Darboux equation and the Toda equation I, II, Proc.

Gelfand hypergeometric functions as solutions to the 2-dimensional Toda-Hirota equations II Kametaka, On the Euler-Poisson-Darboux equation and the Toda equation I, II, Proc

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T04:26:52.851981Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation be941e23-4c41-4d90-a725-4f4001f6b82e · outbound

This paper cites Gelfand hypergeometric function as a solution to the 2-dimensional Toda-Hirota equation.

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 2026-08-19T06:32:44.657259+00:00.

Observation 1b2bbad3-0721-4401-8c34-d1578f830e31 · outbound

This paper cites Kimura, Y.

Gelfand hypergeometric functions as solutions to the 2-dimensional Toda-Hirota equations II Kimura, Y

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T04:26:52.711851Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation fb6803c9-a2a5-4260-b691-fc76a396676c · outbound

This paper cites Kimura, Y.

Gelfand hypergeometric functions as solutions to the 2-dimensional Toda-Hirota equations II Kimura, Y

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T04:26:52.549917Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 67f9994d-e4a7-4137-a49b-365cd865fc3f · outbound

This paper cites Nakamura, Toda equation and its solutions in special functions.

Gelfand hypergeometric functions as solutions to the 2-dimensional Toda-Hirota equations II Nakamura, Toda equation and its solutions in special functions

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T04:26:52.309062Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 3c52afe9-73e6-4513-9900-71210d1dad7c · outbound

This paper cites Okamoto, Sur les échelles associées aux fonctions spéciales et l’équation de Toda, J.

Gelfand hypergeometric functions as solutions to the 2-dimensional Toda-Hirota equations II Okamoto, Sur les échelles associées aux fonctions spéciales et l’équation de Toda, J

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T04:26:52.145241Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 8442748d-944b-4017-9cc3-59f28cd3711e · outbound

This paper cites Okamoto, Échelles et l’équation de Toda, Publ.

Gelfand hypergeometric functions as solutions to the 2-dimensional Toda-Hirota equations II Okamoto, Échelles et l’équation de Toda, Publ

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T04:26:52.028307Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 3ee52188-05ac-494e-96ea-1d0f15c211fd · outbound

This paper cites Olshanetsky and A.M.

Gelfand hypergeometric functions as solutions to the 2-dimensional Toda-Hirota equations II Olshanetsky and A.M

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T04:26:51.774938Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 8fb2812a-4f44-4b16-ace3-625153a63c6c · outbound

This paper cites Pham, Introduction à l’étude topologique de singularités de Landau, Mé- moire Sci.

Gelfand hypergeometric functions as solutions to the 2-dimensional Toda-Hirota equations II Pham, Introduction à l’étude topologique de singularités de Landau, Mé- moire Sci

Reference 16

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T04:26:51.524992Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 572822d3-f367-45c4-906c-ccccfcea7db0 · outbound

This paper cites Tokihiro, J.

Gelfand hypergeometric functions as solutions to the 2-dimensional Toda-Hirota equations II Tokihiro, J

Reference 17

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T04:26:51.316380Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Pith citing papers

No inbound Pith citation observations are available.