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Paper Citation Record · LEDGER

Modeling Concentration Profiles in Electrolytes by Solving 3-D Poisson-Nernst-Planck Equations via Finite Difference Method

As of 14 August 2026, this Paper Citation Record lists 10 of 10 outbound references and 0 inbound Pith citation observations for arXiv:2501.05917.

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

pith.paper-citation-record.v1
2501.05917 v1

Coverage vector

measured 10 of 10 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-10T21:08:51.301775Z

measured 10 of 10 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-14T06:32:32.682623+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

10 of 10 outbound references displayed

  • verified exact0
  • verified fuzzy6
  • unresolved4
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 3bd997eb-bf97-40d1-aa76-12e0521dd4a8 · outbound

This paper cites Yan, M.Z.

Modeling Concentration Profiles in Electrolytes by Solving 3-D Poisson-Nernst-Planck Equations via Finite Difference Method Yan, M.Z

Reference 1

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T21:08:51.486666Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-10T21:08:51.255484Z digest=sha256:50e5a94bc9b304470ab0ab9e868d36302ac2688a2b102bddd2e6526b6985f954

Observation 6b022d93-1ac8-4af0-99b1-1e4b12ce70a0 · outbound

This paper cites Horng, T.C.

Modeling Concentration Profiles in Electrolytes by Solving 3-D Poisson-Nernst-Planck Equations via Finite Difference Method Horng, T.C

Reference 2

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T21:08:51.466864Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-10T21:08:51.260385Z digest=sha256:b61784b30c2d6f20b7af41e15483536a27583b6863d3dc5178b8b73f78bd4554

Observation 0b9e39b0-055d-4100-a206-e793f0214674 · outbound

This paper cites Mitscha -Baude, A.

Modeling Concentration Profiles in Electrolytes by Solving 3-D Poisson-Nernst-Planck Equations via Finite Difference Method Mitscha -Baude, A

Reference 3

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T21:08:51.454070Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-10T21:08:51.264562Z digest=sha256:bce6e935ec53f14d7ec3975422964b75c774e215fc62abcdd7a0b0d4ed87ff15

Observation 5891982f-4008-4e01-99e6-a80fd90f9a4c · outbound

This paper cites Newman, C.W.

Modeling Concentration Profiles in Electrolytes by Solving 3-D Poisson-Nernst-Planck Equations via Finite Difference Method Newman, C.W

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T21:08:51.440549Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-10T21:08:51.269529Z digest=sha256:1d07e20a19035496b5fb45ea88fbe2681ca260e1728d979b3dd561b9dead73f0

Observation b9567e4e-6f8c-4a46-9e3f-7c838877ae02 · outbound

This paper cites an unresolved cited work.

Modeling Concentration Profiles in Electrolytes by Solving 3-D Poisson-Nernst-Planck Equations via Finite Difference Method Unresolved cited work

Reference 5

Resolution
unresolved
raw_fallback, observed 2026-08-10T21:08:51.422462Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-10T21:08:51.274331Z digest=sha256:c94d8742d35fc3d5857bc8d743f40e971aac05bd01ec16a3cb308a20dae035eb

Observation b154d203-0461-4f22-883f-9944c23d1f9f · outbound

This paper cites Souza, M.T.

Modeling Concentration Profiles in Electrolytes by Solving 3-D Poisson-Nernst-Planck Equations via Finite Difference Method Souza, M.T

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T21:08:51.405615Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-10T21:08:51.280889Z digest=sha256:b30e335e9577ae586b94054399b06a490952df8c6c20f0d656a57707ca3e9575

Observation 1d05fa56-8906-49c7-ad65-2c674c293edd · outbound

This paper cites an unresolved cited work.

Modeling Concentration Profiles in Electrolytes by Solving 3-D Poisson-Nernst-Planck Equations via Finite Difference Method Unresolved cited work

Reference 7

Resolution
unresolved
raw_fallback, observed 2026-08-10T21:08:51.389943Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-10T21:08:51.288152Z digest=sha256:526af7e21c1eb8af921b6fa063b1c76fc6bab42e4c228d004c4393a84e4cba4c

Observation 8a8801ba-eb09-43d2-88d6-fe7fec0d7b5e · outbound

This paper cites an unresolved cited work.

Modeling Concentration Profiles in Electrolytes by Solving 3-D Poisson-Nernst-Planck Equations via Finite Difference Method Unresolved cited work

Reference 8

Resolution
unresolved
raw_fallback, observed 2026-08-10T21:08:51.376797Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-10T21:08:51.292846Z digest=sha256:6c48863948a5dc69825b0826d8ff1b31e0fe4c14da27147c894cf7dd966804bb

Observation 076f9d72-4df5-40ef-a6b7-be95c6bc5a33 · outbound

This paper cites Dolatabadi, A.

Modeling Concentration Profiles in Electrolytes by Solving 3-D Poisson-Nernst-Planck Equations via Finite Difference Method Dolatabadi, A

Reference 9

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T21:08:51.362885Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-10T21:08:51.297412Z digest=sha256:83efacc20e36079af678dabe61672102eb4b0476238ac51b144e7033e5925f59

Observation 8506fbfb-daba-48eb-8426-85e66fa3fbe0 · outbound

This paper cites an unresolved cited work.

Modeling Concentration Profiles in Electrolytes by Solving 3-D Poisson-Nernst-Planck Equations via Finite Difference Method Unresolved cited work

Reference 10

Resolution
unresolved
raw_fallback, observed 2026-08-10T21:08:51.347515Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-10T21:08:51.301775Z digest=sha256:cd9ccae0bb85f7ef88e2f2ba01f987e453da3c1b57b46661801a1f50be00d360

Pith citing papers

No inbound Pith citation observations are available.