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Paper Citation Record · LEDGER

The existence and local uniqueness of the eigenfunctions of the non-linear operator $ \Delta_H u^{n}$ in the hyperbolic Poincar\'e half-plane

As of 7 August 2026, this Paper Citation Record lists 12 of 12 outbound references and 0 inbound Pith citation observations for arXiv:2504.16168.

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

pith.paper-citation-record.v1
2504.16168 v3

Coverage vector

measured 12 of 12 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-05-22T18:29:19.209379Z

measured 12 of 12 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

12 of 12 outbound references displayed

  • verified exact4
  • verified fuzzy4
  • unresolved4
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation cdd00773-38e6-4957-a160-0687128647ed · outbound

This paper cites an unresolved cited work.

The existence and local uniqueness of the eigenfunctions of the non-linear operator $ \Delta_H u^{n}$ in the hyperbolic Poincar\'e half-plane Unresolved cited work

Reference 1

Resolution
unresolved
raw_fallback, observed 2026-05-22T18:31:56.026140Z

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=2026-05-22T18:29:19.209379Z digest=sha256:f6125c8c27d32e29f3b62cd525b7b6a00bda6a54eb394aaf2ca3ceae30fcfc7e

Observation b5dd8768-34fd-4942-aee1-ae48ba629110 · outbound

This paper cites A note on nonlinear diffusive equations on Poincar\'e half plane.

The existence and local uniqueness of the eigenfunctions of the non-linear operator $ \Delta_H u^{n}$ in the hyperbolic Poincar\'e half-plane A note on nonlinear diffusive equations on Poincar\'e half plane

Reference 2

Resolution
verified exact
arxiv_id, observed 2026-05-22T18:31:55.778156Z

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=2026-05-22T18:29:19.209379Z digest=sha256:25690b321f801ba8d2a935ff188a0509ea370cc7ecc6b0073aa1d41c91d16aa5

Observation e3d9a321-18d4-4f1b-93e1-e9d091a5a420 · outbound

This paper cites Construction of exact solutions for fractional order differential equations by the invariant subspace methodComputers and Mathematics with Applications 66(2013) 576–584.

The existence and local uniqueness of the eigenfunctions of the non-linear operator $ \Delta_H u^{n}$ in the hyperbolic Poincar\'e half-plane Construction of exact solutions for fractional order differential equations by the invariant subspace methodComputers and Mathematics with Applications 66(2013) 576–584

Reference 3

Resolution
verified fuzzy
raw_fallback, observed 2026-05-22T18:31:56.030320Z

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=2026-05-22T18:29:19.209379Z digest=sha256:dc6007228caf6813628a5c1ec3ced614d63df4dd15fcc9530cb34c940390a6d8

Observation c6f1081b-7bb7-4f4c-9447-e67fe8a270f5 · outbound

This paper cites Stochastics: An International Journal of Probability and Stochastics Processes, 79:6, 505-522, DOI:10.1080/17442500701433509.

The existence and local uniqueness of the eigenfunctions of the non-linear operator $ \Delta_H u^{n}$ in the hyperbolic Poincar\'e half-plane Stochastics: An International Journal of Probability and Stochastics Processes, 79:6, 505-522, DOI:10.1080/17442500701433509

Reference 4

Resolution
verified exact
doi, observed 2026-05-22T18:31:55.780234Z

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=2026-05-22T18:29:19.209379Z digest=sha256:70294de0d8ad2e7b9e1efca625f217a121a8432d66474c0bd6e50eb5c8ed079f

Observation dd8cc3ae-9891-40a5-9f8e-0798cecb53ba · outbound

This paper cites Teorema di Cauchy-Kovalevskaja per le equazioni differenzialiRivoluzioni Matematiche I grandi teoremi da Pitagora a Nash, Le Scienze19(2024) 84-85.

The existence and local uniqueness of the eigenfunctions of the non-linear operator $ \Delta_H u^{n}$ in the hyperbolic Poincar\'e half-plane Teorema di Cauchy-Kovalevskaja per le equazioni differenzialiRivoluzioni Matematiche I grandi teoremi da Pitagora a Nash, Le Scienze19(2024) 84-85

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-05-22T18:31:56.028119Z

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=2026-05-22T18:29:19.209379Z digest=sha256:b113edd85342975742f54f833e7330b5ee0bdb8c5adbfeb277b685d988404f6a

Observation 6829b32f-4b15-4bda-bcaf-b00e3db1afa2 · outbound

This paper cites A non-homogeneous generalization of Burgers equations.

The existence and local uniqueness of the eigenfunctions of the non-linear operator $ \Delta_H u^{n}$ in the hyperbolic Poincar\'e half-plane A non-homogeneous generalization of Burgers equations

Reference 6

Resolution
verified exact
arxiv_id, observed 2026-05-22T18:31:55.775190Z

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=2026-05-22T18:29:19.209379Z digest=sha256:0edf6f85ff51cf0f44710b469054133486bdb823b72dea029c5250678ee65a14

Observation 95bc1b0c-9ea3-4df4-8810-de52976ce9eb · outbound

This paper cites an unresolved cited work.

The existence and local uniqueness of the eigenfunctions of the non-linear operator $ \Delta_H u^{n}$ in the hyperbolic Poincar\'e half-plane Unresolved cited work

Reference 7

Resolution
unresolved
raw_fallback, observed 2026-05-22T18:31:56.039480Z

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=2026-05-22T18:29:19.209379Z digest=sha256:16066610bd5aee54dba1f071625a7d1e17cfcee151d733651a989ab6a5e87102

Observation 67692e1e-a2e2-4624-b71e-a01b6939aa87 · outbound

This paper cites Note per il corso Equazioni Differenziali I parte,Universit` a degli studi di Roma ”La Sapienza”(versione 1.1 March 9, 2006), http://www.mat.uniroma1.it/people/mascia/edo0506.html.

The existence and local uniqueness of the eigenfunctions of the non-linear operator $ \Delta_H u^{n}$ in the hyperbolic Poincar\'e half-plane Note per il corso Equazioni Differenziali I parte,Universit` a degli studi di Roma ”La Sapienza”(versione 1.1 March 9, 2006), http://www.mat.uniroma1.it/people/mascia/edo0506.html

Reference 8

Resolution
verified fuzzy
raw_fallback, observed 2026-05-22T18:31:56.037613Z

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=2026-05-22T18:29:19.209379Z digest=sha256:e59f20a096b14cc488f5e76f4e36da10521f1b4042613d15d9999a56c76efb65

Observation 5a8ff36c-4ad3-4cbd-bfda-432746185055 · outbound

This paper cites Teorema di Dini sulle funzioni impliciteRivoluzioni Matematiche I grandi teoremi da Pitagora a Nash, Le Scienze 28(2025) 84-85.

The existence and local uniqueness of the eigenfunctions of the non-linear operator $ \Delta_H u^{n}$ in the hyperbolic Poincar\'e half-plane Teorema di Dini sulle funzioni impliciteRivoluzioni Matematiche I grandi teoremi da Pitagora a Nash, Le Scienze 28(2025) 84-85

Reference 9

Resolution
verified fuzzy
raw_fallback, observed 2026-05-22T18:31:56.035559Z

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=2026-05-22T18:29:19.209379Z digest=sha256:434ec60f7083a643142f6ccc0675b273e7535f0e1e1926a61954487aa14ec79a

Observation 4c2df40c-3a5e-4d1b-8d46-84471e482ccd · outbound

This paper cites an unresolved cited work.

The existence and local uniqueness of the eigenfunctions of the non-linear operator $ \Delta_H u^{n}$ in the hyperbolic Poincar\'e half-plane Unresolved cited work

Reference 10

Resolution
unresolved
raw_fallback, observed 2026-05-22T18:31:56.033698Z

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=2026-05-22T18:29:19.209379Z digest=sha256:a2ca545a8b91c3a484a1ba1b3dcc0aee0165c5f82b23dbeb6cd1e42a09e8b29d

Observation 1e351a71-137e-4c9b-9aab-e792e797b96d · outbound

This paper cites an unresolved cited work.

The existence and local uniqueness of the eigenfunctions of the non-linear operator $ \Delta_H u^{n}$ in the hyperbolic Poincar\'e half-plane Unresolved cited work

Reference 11

Resolution
unresolved
raw_fallback, observed 2026-05-22T18:31:56.032018Z

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=2026-05-22T18:29:19.209379Z digest=sha256:ab63bab6409b7330cab5123aea1255404881cee08eb6665feadaab70265148d7

Observation 31cec1f4-2bc4-41d3-a88b-f2ee7889f436 · outbound

This paper cites ”The J.C.P.

The existence and local uniqueness of the eigenfunctions of the non-linear operator $ \Delta_H u^{n}$ in the hyperbolic Poincar\'e half-plane ”The J.C.P

Reference 12

Resolution
verified exact
doi, observed 2026-05-22T18:31:55.782039Z

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=2026-05-22T18:29:19.209379Z digest=sha256:0c4644c7205a2e30949f2f8241b7e00a7f7d535c20117998380ad9bd3e6599e6

Pith citing papers

No inbound Pith citation observations are available.