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Paper Citation Record · LEDGER

Elliptic asymptotic behaviour of $q$-Painlev\'e transcendents

As of 8 August 2026, this Paper Citation Record lists 16 of 16 outbound references and 0 inbound Pith citation observations for arXiv:2506.05724.

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

pith.paper-citation-record.v1
2506.05724 v1

Coverage vector

measured 16 of 16 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-07T10:21:37.924168Z

measured 16 of 16 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-07T06:34:17.273281+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

16 of 16 outbound references displayed

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  • verified fuzzy16
  • unresolved0
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  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 62d93f56-2a67-4a01-9bb1-29711009d476 · outbound

This paper cites A request: the Painlev´ e project.

Elliptic asymptotic behaviour of $q$-Painlev\'e transcendents A request: the Painlev´ e project

Reference 1

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T10:21:38.076436Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T10:21:37.881224Z digest=sha256:43f1fbff60e0aa4c80e71b27b84020cc62fc6db9f25d4575f7b4e4b7a3869b35

Observation aa7bbfb7-3788-4233-b27e-de22d008d523 · outbound

This paper cites Recherches sur les transcendantes de M. Painlev´ e et l’´ etude asymptotique des ´ equations diff´ erentielles du second ordre (suite).

Elliptic asymptotic behaviour of $q$-Painlev\'e transcendents Recherches sur les transcendantes de M. Painlev´ e et l’´ etude asymptotique des ´ equations diff´ erentielles du second ordre (suite)

Reference 2

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T10:21:38.068182Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T10:21:37.884324Z digest=sha256:84854e7ad808869ee9e1ba24f4c4871e5d2050c0365b21b8d952cc82f0bba7b8

Observation e5e227db-fac2-4a6e-a9f4-d3fee3da317f · outbound

This paper cites Recherches sur les transcendantes de M. Painlev´ e et l’´ etude asymptotique des ´ equations diff´ erentielles du second ordre.

Elliptic asymptotic behaviour of $q$-Painlev\'e transcendents Recherches sur les transcendantes de M. Painlev´ e et l’´ etude asymptotique des ´ equations diff´ erentielles du second ordre

Reference 3

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T10:21:38.058059Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T10:21:37.887618Z digest=sha256:8fce5dac7ccab4fb63516f27c0632b6ec956110b276c5a06b0c1bb776f16e738

Observation e0c1ba46-284a-4977-9f4b-2746e4cd36e8 · outbound

This paper cites Sur quelque ´ equations diff´ erentielles lin´ eaires du second ordre.

Elliptic asymptotic behaviour of $q$-Painlev\'e transcendents Sur quelque ´ equations diff´ erentielles lin´ eaires du second ordre

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T10:21:38.049760Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T10:21:37.890307Z digest=sha256:585b8ccd53980691f30e84a114ff30b78771090ba0d05752fe8e2d8b9ae2f489

Observation d5071f3c-7223-449d-a77b-82e63ab05093 · outbound

This paper cites Sur les ´ equations diff´ erentielles du second ordre et du premier degr´ e dont l’int´ egrale g´ en´ erale est ` a points critiques fixes.

Elliptic asymptotic behaviour of $q$-Painlev\'e transcendents Sur les ´ equations diff´ erentielles du second ordre et du premier degr´ e dont l’int´ egrale g´ en´ erale est ` a points critiques fixes

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T10:21:38.041078Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T10:21:37.893293Z digest=sha256:83be968dd06ff084399cfcc7c9d5e0b67cb213628fe3f5973ae58f4da15699e0

Observation bba961b8-248e-4b66-812e-2039979223d7 · outbound

This paper cites The isomonodromy approach in the theory of two-dimensional quantum gravitation.

Elliptic asymptotic behaviour of $q$-Painlev\'e transcendents The isomonodromy approach in the theory of two-dimensional quantum gravitation

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T10:21:38.031890Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T10:21:37.895965Z digest=sha256:4d55287e7c5321ad1857c7cdc63103e97b680059bdd3301c3604936b00ca974a

Observation a2bda2d6-81cb-4921-8788-483ffe60860f · outbound

This paper cites The connection problem for the first and the second Painlev´ e tran- scendents.

Elliptic asymptotic behaviour of $q$-Painlev\'e transcendents The connection problem for the first and the second Painlev´ e tran- scendents

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T10:21:38.023782Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T10:21:37.898782Z digest=sha256:475f54ba5300db850a6a7de6b36a0e5ccd2ebfac5131d1cdb0cd62511e5aea71

Observation 37aed4ce-550d-43b9-873d-6a5ec2556bd2 · outbound

This paper cites An asymptotic approach to the connection problem for the first and the second Painlev´ e equations.

Elliptic asymptotic behaviour of $q$-Painlev\'e transcendents An asymptotic approach to the connection problem for the first and the second Painlev´ e equations

Reference 8

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T10:21:38.014835Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T10:21:37.901283Z digest=sha256:eee47133f01521b9fd94093bf191d5b3dd05fd6c92f73dc833d5f13c07a4c126

Observation cc6788a9-7567-4ad7-8ff8-d0d373eea5ae · outbound

This paper cites The Painlev´ e connection problem: an asymp- totic approach. I.

Elliptic asymptotic behaviour of $q$-Painlev\'e transcendents The Painlev´ e connection problem: an asymp- totic approach. I

Reference 9

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T10:21:38.005469Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T10:21:37.904309Z digest=sha256:ab3ae4674ea6561086853aad4c784fc78f1a318b7a041baff970c3c8c220596b

Observation 15f3a986-d72f-4dc2-b1a0-d53a212c3f7b · outbound

This paper cites Asymptotic behaviours given by elliptic functions in PI-PV.

Elliptic asymptotic behaviour of $q$-Painlev\'e transcendents Asymptotic behaviours given by elliptic functions in PI-PV

Reference 10

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T10:21:37.996855Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T10:21:37.907394Z digest=sha256:03782d3ff6237664683be2a524e8d05ed5bae56705ce620cc6d26904da5e3c2b

Observation 6c4f9590-1dd4-4ac7-be4b-781740487f30 · outbound

This paper cites Painlev´ e functions of the third kind.

Elliptic asymptotic behaviour of $q$-Painlev\'e transcendents Painlev´ e functions of the third kind

Reference 11

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T10:21:37.988745Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T10:21:37.909866Z digest=sha256:86c23b7c8aa86bdff479f8d58f296ab2b8dd92ec04813dcd497b058a03a38a87

Observation d72c89d0-8976-436b-aee9-821df87bf9e3 · outbound

This paper cites Sur les ´ equations diff´ erentielles du second ordre et d’ordre sup´ erieur dont l’int´ egrale g´ en´ erale est uniforme.

Elliptic asymptotic behaviour of $q$-Painlev\'e transcendents Sur les ´ equations diff´ erentielles du second ordre et d’ordre sup´ erieur dont l’int´ egrale g´ en´ erale est uniforme

Reference 12

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T10:21:37.980385Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T10:21:37.913218Z digest=sha256:d85e1a1544caae3fdc21d2fd20f94e4ae8fa7a913bbf75ae70f11764f8bfad33

Observation 9b7bf0d0-b974-488e-b9b7-94b9cb6d7090 · outbound

This paper cites Discrete Painlev´ e equations: coalescences, limits and degeneracies.

Elliptic asymptotic behaviour of $q$-Painlev\'e transcendents Discrete Painlev´ e equations: coalescences, limits and degeneracies

Reference 13

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T10:21:37.972309Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T10:21:37.916068Z digest=sha256:0e73404fbc4fb6da6b2459965c9cf22ccc43c4b335a551977748592b140f32b9

Observation a60893d5-5b03-4078-a4cf-24e6dc117c60 · outbound

This paper cites Discrete versions of the Painlev´ e equations.

Elliptic asymptotic behaviour of $q$-Painlev\'e transcendents Discrete versions of the Painlev´ e equations

Reference 14

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T10:21:37.964074Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T10:21:37.918747Z digest=sha256:13c0b4642dbfdb4e07488a5cd2dde1e1fdbe75e21787fff94ccb0c5758cd7bbe

Observation 2a9e1e59-41f3-4298-bc3e-0da032fef7e3 · outbound

This paper cites A differential equation for orthogonal polynomials.

Elliptic asymptotic behaviour of $q$-Painlev\'e transcendents A differential equation for orthogonal polynomials

Reference 15

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T10:21:37.956152Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T10:21:37.921685Z digest=sha256:01a6b03af1312d65cfd5d5123f353cef171b0b1d3393b85263db84d9f4fdb091

Observation 11ae6a7a-2740-4563-97d8-f4c63b008a38 · outbound

This paper cites Spin-spin correlation functions for the two-dimensional Ising model: Exact theory in the scaling region.

Elliptic asymptotic behaviour of $q$-Painlev\'e transcendents Spin-spin correlation functions for the two-dimensional Ising model: Exact theory in the scaling region

Reference 16

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T10:21:37.947861Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T10:21:37.924168Z digest=sha256:b25af74c1f4448f55dbee0096e0ed3e8b8a8a2824bd864ad9a6f0280d8dcb761

Pith citing papers

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