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Paper Citation Record · LEDGER

Parametric formal Gevrey asymptotic expansions in two complex time variable problems

As of 8 August 2026, this Paper Citation Record lists 30 of 30 outbound references and 0 inbound Pith citation observations for arXiv:2506.00916.

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

pith.paper-citation-record.v1
2506.00916 v1

Coverage vector

measured 30 of 30 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-07T12:00:51.276873Z

measured 30 of 30 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-08T06:32:00.761636+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

30 of 30 outbound references displayed

  • verified exact0
  • verified fuzzy29
  • unresolved1
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 4f7c5d64-1a73-4ce4-b9ee-f3cb26a6b8b4 · outbound

This paper cites Balser,Multisummability of complete formal solutions for non-linear systems of mero- morphic ordinary differential equations.Complex Var.

Parametric formal Gevrey asymptotic expansions in two complex time variable problems Balser,Multisummability of complete formal solutions for non-linear systems of mero- morphic ordinary differential equations.Complex Var

Reference 1

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T12:00:52.537504Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T12:00:51.129267Z digest=sha256:2315e55e536327a3b8bdc70265f5894312bd37b5460ef015bcf17070cc67a8c0

Observation c0beaf47-60bc-4cf9-8171-a660f97295b2 · outbound

This paper cites Balser,Formal power series and linear systems of meromorphic ordinary differential equations.Universitext.

Parametric formal Gevrey asymptotic expansions in two complex time variable problems Balser,Formal power series and linear systems of meromorphic ordinary differential equations.Universitext

Reference 2

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T12:00:52.529493Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T12:00:51.134543Z digest=sha256:43ffe2ac04c4a896f460346ecaf66ffa3be2b6ff232ae6e1d5fe9ba4e83d8950

Observation 36cef6e1-91a4-47d5-82a5-a928c814c2f0 · outbound

This paper cites Balser,Multisummability of formal power series solutions of partial differential equations with constant coefficients.J.

Parametric formal Gevrey asymptotic expansions in two complex time variable problems Balser,Multisummability of formal power series solutions of partial differential equations with constant coefficients.J

Reference 3

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T12:00:52.520818Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T12:00:51.140065Z digest=sha256:67ce07fc1ff9effe74b52e0c5dd8de0fe8b42c7695e1636d3ebe6bee9e1f7735

Observation 8724244d-49bb-4dcd-82f7-04acc1848b54 · outbound

This paper cites Balser, B.

Parametric formal Gevrey asymptotic expansions in two complex time variable problems Balser, B

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T12:00:52.512293Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T12:00:51.144889Z digest=sha256:4732892853ae58913fea573f7e9d79f0d0f4376b99a9b4aaf3f0d161e3b0a797

Observation d5ef6765-b1f9-47fb-857d-04a404bbda2c · outbound

This paper cites Braaksma,Multisummability of formal power series solutions of nonlinear meromorphic differential equations.Ann.

Parametric formal Gevrey asymptotic expansions in two complex time variable problems Braaksma,Multisummability of formal power series solutions of nonlinear meromorphic differential equations.Ann

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T12:00:52.504180Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T12:00:51.149678Z digest=sha256:868335adfc2cb2ee43a01117d60688c5755dbbe99b733b1a8653016b731d6f7b

Observation 25ee8131-24ca-4f9b-921e-b43ab3301188 · outbound

This paper cites an unresolved cited work.

Parametric formal Gevrey asymptotic expansions in two complex time variable problems Unresolved cited work

Reference 6

Resolution
unresolved
raw_fallback, observed 2026-08-07T12:00:52.495573Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T12:00:51.154552Z digest=sha256:28d51bc3cf43079de97cbfed26ed9f863d5b1b5d64e994daa429df2fee7630ed

Observation 073a235e-e117-479b-b0b8-7eb71d8f9ed1 · outbound

This paper cites Costin, S.

Parametric formal Gevrey asymptotic expansions in two complex time variable problems Costin, S

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T12:00:52.487095Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T12:00:51.159512Z digest=sha256:86dd4382bb9fdd9df6679d433b3cb77a09b66940bd3129e4d9a68ddf61dfe1fc

Observation af41bd6e-0b1f-4b73-82c4-74d7d3b6237d · outbound

This paper cites Hsieh, Y.

Parametric formal Gevrey asymptotic expansions in two complex time variable problems Hsieh, Y

Reference 8

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T12:00:52.479383Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T12:00:51.164095Z digest=sha256:8bc1c27f8e5d901b8a0e04bc692a3a8176d2a06b0ab898a54fc7171405fd6cf2

Observation 403282c4-6f58-410f-a816-4826e5d72cb9 · outbound

This paper cites Jim´ enez-Garrido, S.

Parametric formal Gevrey asymptotic expansions in two complex time variable problems Jim´ enez-Garrido, S

Reference 9

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T12:00:52.471086Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T12:00:51.168393Z digest=sha256:4327960f9665b20c3019d4569fc13e2206870909d6c516a1cd42c865e849b428

Observation d7c5319c-f3d9-49cf-b2c9-7f256bfd8cd1 · outbound

This paper cites Lastra, S.

Parametric formal Gevrey asymptotic expansions in two complex time variable problems Lastra, S

Reference 10

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T12:00:52.462335Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T12:00:51.174515Z digest=sha256:5cee913bca8c9553a95d427528f93fdcd4c87db2fd430299eb6db64dec4f0b00

Observation 826a3a2c-db1d-4b66-8779-67c252398761 · outbound

This paper cites Lastra, S.

Parametric formal Gevrey asymptotic expansions in two complex time variable problems Lastra, S

Reference 11

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T12:00:52.453461Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T12:00:51.180999Z digest=sha256:3012a8a9464f01f7f7b77291f4a9a5428469774cd7d0a8cedb2e7b81aba52de4

Observation 5d6b46eb-6f39-43bc-85ce-6c7ed2ce9c45 · outbound

This paper cites Lastra, S.

Parametric formal Gevrey asymptotic expansions in two complex time variable problems Lastra, S

Reference 12

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T12:00:52.444829Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T12:00:51.185792Z digest=sha256:53391e620a7ac552b7dd7ad46dd287fd5a1b569fa3bcbcab4db4c42f81397422

Observation 1047eb8d-be8d-4149-a1b5-81147eb8697a · outbound

This paper cites Lastra, S.

Parametric formal Gevrey asymptotic expansions in two complex time variable problems Lastra, S

Reference 13

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T12:00:52.327296Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T12:00:51.192316Z digest=sha256:51952a5de80fb7982a9143d28a8858d136eeeec873800a144653baef75c186a5

Observation e5a11f81-3a60-4eb5-a2eb-2df96928370c · outbound

This paper cites Lastra, S.

Parametric formal Gevrey asymptotic expansions in two complex time variable problems Lastra, S

Reference 14

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T12:00:52.273659Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T12:00:51.197110Z digest=sha256:082aa636f355c7af0f6ef6434c8db1ba9fbe39c15e29cceb6e736c4603177afa

Observation 25cd3911-9bb0-45f5-8834-ba664d32dcc3 · outbound

This paper cites Lastra, S.

Parametric formal Gevrey asymptotic expansions in two complex time variable problems Lastra, S

Reference 15

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T12:00:52.191079Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T12:00:51.201960Z digest=sha256:0e74cb8fad4fdcfd13c02f046b68018d40f31584b603d098cf249f6b5a96afe8

Observation 3e39e467-858e-4b59-9e69-10225941d639 · outbound

This paper cites Lastra, S.

Parametric formal Gevrey asymptotic expansions in two complex time variable problems Lastra, S

Reference 16

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T12:00:51.869729Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T12:00:51.206857Z digest=sha256:ce8d467768f38da9c0a791e7fb526b7d40988bd282db599526b2942c2c38e4c0

Observation 47756b97-fd72-4264-bb21-c73d604f92ef · outbound

This paper cites Loday-Richaud,Stokes phenomenon, multisummability and differential Galois groups.

Parametric formal Gevrey asymptotic expansions in two complex time variable problems Loday-Richaud,Stokes phenomenon, multisummability and differential Galois groups

Reference 17

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T12:00:51.576595Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T12:00:51.211439Z digest=sha256:74356ad1ca53f5308ce2a7a1b3eb9815a08e286dfc539c57dddd6938d3395a49

Observation 4f4528ce-1fbb-4698-a5cb-7702e515fb4a · outbound

This paper cites Loday-Richaud, Divergent series, summability and resurgence.

Parametric formal Gevrey asymptotic expansions in two complex time variable problems Loday-Richaud, Divergent series, summability and resurgence

Reference 18

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T12:00:51.517857Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T12:00:51.215663Z digest=sha256:f2e87773bcd89a2d0d0cedc79a7ecb7fcd18d84c0f9d405f48bc92c8607125f8

Observation bef4c3c5-fc9d-4cb6-a65e-0c4e77d13501 · outbound

This paper cites Malek,On a partialq−analog of a singularly perturbed problem with fuchsian and irregu- lar time singularities, Abstract and Applied Analysis, vol.

Parametric formal Gevrey asymptotic expansions in two complex time variable problems Malek,On a partialq−analog of a singularly perturbed problem with fuchsian and irregu- lar time singularities, Abstract and Applied Analysis, vol

Reference 19

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T12:00:51.475191Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T12:00:51.219886Z digest=sha256:ee45354ddaa48b3ec25c3138f34c0d5db190b0b6736584aac919ba4668c0d71b

Observation d0de4393-7a05-4728-868d-e06eb91a1b0c · outbound

This paper cites Malek,Double-scale expansions for a logarithmic type solution to a q-analog of a singu- lar initial value problem.

Parametric formal Gevrey asymptotic expansions in two complex time variable problems Malek,Double-scale expansions for a logarithmic type solution to a q-analog of a singu- lar initial value problem

Reference 20

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T12:00:51.453550Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T12:00:51.224607Z digest=sha256:b2326154b741edb7a8d9ddfae742f9f0bf1338f54cb6e7ed7e5adb55e7a054ac

Observation a9dca37f-37fa-4d81-8da7-ff4ede18e6a2 · outbound

This paper cites Malgrange, J.-P.

Parametric formal Gevrey asymptotic expansions in two complex time variable problems Malgrange, J.-P

Reference 21

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T12:00:51.439266Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T12:00:51.230129Z digest=sha256:405483935d47cf336cf1cb3e2422ce19b3928dda59cb38300be184a87e4a4c00

Observation bf8e2b05-4955-4c67-aa34-b3184c80b34d · outbound

This paper cites Michalik,On the multisummability of divergent solutions of linear partial differential equations with constant coefficients.J.

Parametric formal Gevrey asymptotic expansions in two complex time variable problems Michalik,On the multisummability of divergent solutions of linear partial differential equations with constant coefficients.J

Reference 22

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T12:00:51.425618Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T12:00:51.236601Z digest=sha256:ddb5119c37025de858b58575d9426f6a42df61ed1d2a08cc3461ca97d5200c55

Observation 488caf9f-19c7-432d-a68c-3313ea866ef6 · outbound

This paper cites Michalik,Multisummability of formal solutions of inhomogeneous linear partial differen- tial equations with constant coefficients, J.

Parametric formal Gevrey asymptotic expansions in two complex time variable problems Michalik,Multisummability of formal solutions of inhomogeneous linear partial differen- tial equations with constant coefficients, J

Reference 23

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T12:00:51.412283Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T12:00:51.242080Z digest=sha256:7791c75e13cdb1224a28b4fa1c164330c76e345029d2066d11e050a56daafd19

Observation 4895e1e8-7b91-464e-a71e-dcbbb74bce2c · outbound

This paper cites Ouchi,Multisummability of formal power series solutions of nonlinear partial differential equations in complex domains.

Parametric formal Gevrey asymptotic expansions in two complex time variable problems Ouchi,Multisummability of formal power series solutions of nonlinear partial differential equations in complex domains

Reference 24

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T12:00:51.398342Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T12:00:51.246371Z digest=sha256:ae86097c126b2ae8ea15d89ac57f136b63ed31546f3f7497fbc4501f8bb36227

Observation a85146e2-73f2-4459-9daf-7dd79c9cb21d · outbound

This paper cites Ramis, Y.

Parametric formal Gevrey asymptotic expansions in two complex time variable problems Ramis, Y

Reference 25

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T12:00:51.383388Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T12:00:51.250976Z digest=sha256:f08e9f3cca929c41f3c27c006e61bad92489867313ecf25fb3454aa26f4c57eb

Observation b95cf97c-3898-4409-b6f9-79bd8aad9067 · outbound

This paper cites Tahara,Asymptotic existence theorem for formal solutions with singularities of nonlinear partial differential equations via multisummability.J.

Parametric formal Gevrey asymptotic expansions in two complex time variable problems Tahara,Asymptotic existence theorem for formal solutions with singularities of nonlinear partial differential equations via multisummability.J

Reference 26

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T12:00:51.370172Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T12:00:51.255423Z digest=sha256:746764e7c82573c0cbb3f8ad05de9f4983069d3a1230d617bf53085bee13d0f6

Observation d02d1c4e-c5ce-4b12-bb10-f54d06c95bb6 · outbound

This paper cites Tahara, H.

Parametric formal Gevrey asymptotic expansions in two complex time variable problems Tahara, H

Reference 27

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T12:00:51.357917Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T12:00:51.260699Z digest=sha256:6789ea93abb331dc0c1c99a49f08b429a855b657c48703d2fb1648e19b7d112b

Observation eace1096-8e7c-48c6-96fa-8d322a65c15f · outbound

This paper cites Takei,On the multisummability of WKB solutions of certain singularly perturbed linear ordinary differential equations, Opuscula Math.

Parametric formal Gevrey asymptotic expansions in two complex time variable problems Takei,On the multisummability of WKB solutions of certain singularly perturbed linear ordinary differential equations, Opuscula Math

Reference 28

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T12:00:51.342831Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T12:00:51.266182Z digest=sha256:0f1e0b902384c5d5df0b77eaa9d5f186ab7e39d8739b3bb9c942044201663bab

Observation 18e13676-70f1-4623-a31a-c340a4c8033c · outbound

This paper cites Yamazawa,On multisummability of formal solutions with logarithmic terms for some linear partial differential equations, Funkc.

Parametric formal Gevrey asymptotic expansions in two complex time variable problems Yamazawa,On multisummability of formal solutions with logarithmic terms for some linear partial differential equations, Funkc

Reference 29

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T12:00:51.328720Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T12:00:51.271288Z digest=sha256:fad34137d149f3a27a6e76dd7dc234a5a4fcffbd9004fe794df72711c4bfd410

Observation a4c32fea-81a2-4a70-84b5-e5204f31e345 · outbound

This paper cites Yoshino,Parametric Borel summability of partial differential equations of irregular sin- gular type.

Parametric formal Gevrey asymptotic expansions in two complex time variable problems Yoshino,Parametric Borel summability of partial differential equations of irregular sin- gular type

Reference 30

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T12:00:51.310702Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T12:00:51.276873Z digest=sha256:5ba678e321aded4a00376b8deba816a3bfd636ff078d15d919a6c43f13886461

Pith citing papers

No inbound Pith citation observations are available.