Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-07T12:46:03.731841Z
Paper Citation Record · LEDGER
A positivity-preserving hybrid DDG method for Poisson--Nernst--Planck systems
As of 8 August 2026, this Paper Citation Record lists 39 of 39 outbound references and 0 inbound Pith citation observations for arXiv:2505.24058.
A citation records a reference. It does not transfer a finding from one paper to another.
Coverage vector
One-hop event checks from named stored sources.
Source: scholarly_work_events, retraction_status_cache, observed 2026-08-08T06:32:00.761636+00:00
Pith citing papers itemized under the disclosed page cap.
Source: paper_references, paper_reference_links
A source-named dated measurement, never combined with another source.
Source: cited_works
Reference resolution
39 of 39 outbound references displayed
- verified exact0
- verified fuzzy22
- unresolved16
- parse uncertain0
- malformed identifier1
- metadata mismatch0
External citation measurements
No source-named external measurement is stored.
Outbound references
Observation e8973daa-ee5c-4598-8b24-69f8d7a2867f · outbound
This paper cites Benamou and Y.
A positivity-preserving hybrid DDG method for Poisson--Nernst--Planck systems Benamou and Y
Reference 1
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T12:46:09.841785Z
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.
Observation 87192e4c-3fa5-4509-9337-e40b8337d36b · outbound
This paper cites an unresolved cited work.
A positivity-preserving hybrid DDG method for Poisson--Nernst--Planck systems Unresolved cited work
Reference 2
- Resolution
- unresolved
- raw_fallback, observed 2026-08-07T12:46:09.715845Z
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.
Observation b34b909c-9cf6-425a-962e-b2694ce61c7f · outbound
This paper cites an unresolved cited work.
A positivity-preserving hybrid DDG method for Poisson--Nernst--Planck systems Unresolved cited work
Reference 3
- Resolution
- unresolved
- raw_fallback, observed 2026-08-07T12:46:09.585116Z
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.
Observation c7a35e42-0ee0-45a5-b46b-64a37af55afd · outbound
This paper cites an unresolved cited work.
A positivity-preserving hybrid DDG method for Poisson--Nernst--Planck systems Unresolved cited work
Reference 4
- Resolution
- unresolved
- raw_fallback, observed 2026-08-07T12:46:09.458968Z
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.
Observation d0467cb5-5e35-4f6d-9705-2036673621a2 · outbound
This paper cites Datta.Electronic Transport in Mesoscopic Systems.
A positivity-preserving hybrid DDG method for Poisson--Nernst--Planck systems Datta.Electronic Transport in Mesoscopic Systems
Reference 5
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T12:46:09.323925Z
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.
Observation 35939415-a22c-4640-b7ce-29a4f558c6cd · outbound
This paper cites an unresolved cited work.
A positivity-preserving hybrid DDG method for Poisson--Nernst--Planck systems Unresolved cited work
Reference 6
- Resolution
- unresolved
- raw_fallback, observed 2026-08-07T12:46:09.195759Z
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.
Observation 2892d623-0f12-4811-afb2-72ee47f3687d · outbound
This paper cites an unresolved cited work.
A positivity-preserving hybrid DDG method for Poisson--Nernst--Planck systems Unresolved cited work
Reference 7
- Resolution
- unresolved
- raw_fallback, observed 2026-08-07T12:46:09.070553Z
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.
Observation 43dc4731-edfa-4276-bb07-12a35f03de56 · outbound
This paper cites Eisenberg and W.
A positivity-preserving hybrid DDG method for Poisson--Nernst--Planck systems Eisenberg and W
Reference 8
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T12:46:08.934840Z
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.
Observation 8d5324de-4135-4a75-95db-edf29f54f03f · outbound
This paper cites Glasstone.An introduction to Electrochemstry.
A positivity-preserving hybrid DDG method for Poisson--Nernst--Planck systems Glasstone.An introduction to Electrochemstry
Reference 9
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T12:46:08.801779Z
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.
Observation 070ae185-3761-4333-9294-3d80dc733c7e · outbound
This paper cites Gottlieb, C.
A positivity-preserving hybrid DDG method for Poisson--Nernst--Planck systems Gottlieb, C
Reference 10
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T12:46:08.671348Z
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.
Observation b7eef065-09d5-4c65-8e28-a92f1720197d · outbound
This paper cites an unresolved cited work.
A positivity-preserving hybrid DDG method for Poisson--Nernst--Planck systems Unresolved cited work
Reference 11
- Resolution
- unresolved
- raw_fallback, observed 2026-08-07T12:46:08.552576Z
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.
Observation ffc0a8f3-2f7a-43ea-9ee7-39d4e1568f17 · outbound
This paper cites Hille.Ion channels of excitable membranes, volume 507.
A positivity-preserving hybrid DDG method for Poisson--Nernst--Planck systems Hille.Ion channels of excitable membranes, volume 507
Reference 12
- Resolution
- malformed identifier
- raw_fallback, observed 2026-08-07T12:46:08.420041Z
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.
Observation c3171a83-ca54-4946-8041-b6f6d8b9cb74 · outbound
This paper cites Hu and X.
A positivity-preserving hybrid DDG method for Poisson--Nernst--Planck systems Hu and X
Reference 13
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T12:46:08.314730Z
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.
Observation 4e8d8fbf-fca7-4947-93b0-10ffc9a44f65 · outbound
This paper cites Jerome.Analysis of Charge Transport: A Mathematical Study of Semiconductor Devices.
A positivity-preserving hybrid DDG method for Poisson--Nernst--Planck systems Jerome.Analysis of Charge Transport: A Mathematical Study of Semiconductor Devices
Reference 14
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T12:46:08.193160Z
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.
Observation ac32b60f-a4f9-4ab1-a496-ef7af10b7ca3 · outbound
This paper cites Jordan, D.
A positivity-preserving hybrid DDG method for Poisson--Nernst--Planck systems Jordan, D
Reference 15
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T12:46:08.084439Z
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.
Observation b4f70f0e-e8de-4866-99d3-29bcdccd78d5 · outbound
This paper cites Kinderlehrer, L.
A positivity-preserving hybrid DDG method for Poisson--Nernst--Planck systems Kinderlehrer, L
Reference 16
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T12:46:07.794441Z
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.
Observation 6d4d6312-65e5-4814-8cf3-cf69e972f1c7 · outbound
This paper cites Li.Electrokinetics in Microfluidics.
A positivity-preserving hybrid DDG method for Poisson--Nernst--Planck systems Li.Electrokinetics in Microfluidics
Reference 17
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T12:46:07.637917Z
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.
Observation d09eb878-f82f-4bde-86d8-3dafd2bbdca1 · outbound
This paper cites an unresolved cited work.
A positivity-preserving hybrid DDG method for Poisson--Nernst--Planck systems Unresolved cited work
Reference 18
- Resolution
- unresolved
- raw_fallback, observed 2026-08-07T12:46:07.496022Z
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.
Observation 80c5f6ef-5b5c-4661-835a-d1a7e2be8d80 · outbound
This paper cites an unresolved cited work.
A positivity-preserving hybrid DDG method for Poisson--Nernst--Planck systems Unresolved cited work
Reference 19
- Resolution
- unresolved
- raw_fallback, observed 2026-08-07T12:46:07.374786Z
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.
Observation 9c4fb417-5d41-48d6-b8af-9f0c16537a32 · outbound
This paper cites an unresolved cited work.
A positivity-preserving hybrid DDG method for Poisson--Nernst--Planck systems Unresolved cited work
Reference 20
- Resolution
- unresolved
- raw_fallback, observed 2026-08-07T12:46:07.266275Z
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.
Observation 8de6b3fa-194e-4a48-aab3-755e5f8f4331 · outbound
This paper cites Liu and W.
A positivity-preserving hybrid DDG method for Poisson--Nernst--Planck systems Liu and W
Reference 21
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T12:46:07.149286Z
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.
Observation 1d12dec3-66b2-4945-b24b-830eb6a93b52 · outbound
This paper cites Liu and W.
A positivity-preserving hybrid DDG method for Poisson--Nernst--Planck systems Liu and W
Reference 22
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T12:46:06.993167Z
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.
Observation 284d3723-ebdd-46e0-bdb7-ae38318ef1a3 · outbound
This paper cites Liu and W.
A positivity-preserving hybrid DDG method for Poisson--Nernst--Planck systems Liu and W
Reference 23
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T12:46:06.836508Z
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.
Observation 16821184-7f92-4dca-a5c8-cdb5a2e8885c · outbound
This paper cites Liu and Z.
A positivity-preserving hybrid DDG method for Poisson--Nernst--Planck systems Liu and Z
Reference 24
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T12:46:06.649085Z
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.
Observation 4be886b3-07a1-4591-93b0-d01605ead320 · outbound
This paper cites an unresolved cited work.
A positivity-preserving hybrid DDG method for Poisson--Nernst--Planck systems Unresolved cited work
Reference 25
- Resolution
- unresolved
- raw_fallback, observed 2026-08-07T12:46:06.517484Z
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.
Observation 51bb5df9-b466-4516-a8ee-58a3012484a8 · outbound
This paper cites Liu and J.
A positivity-preserving hybrid DDG method for Poisson--Nernst--Planck systems Liu and J
Reference 26
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T12:46:06.333192Z
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.
Observation fc3a3467-e22e-44b9-b11f-fcf9a2e02293 · outbound
This paper cites Liu and J.
A positivity-preserving hybrid DDG method for Poisson--Nernst--Planck systems Liu and J
Reference 27
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T12:46:06.127092Z
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.
Observation 1f5ee013-ec10-483c-91e6-1b2c84564d4e · outbound
This paper cites Liu and H.
A positivity-preserving hybrid DDG method for Poisson--Nernst--Planck systems Liu and H
Reference 28
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T12:46:05.936260Z
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.
Observation a63ddab3-cf7a-4921-ba8e-6b99005ef95e · outbound
This paper cites Markowich.The Stationary Semiconductor Device Equations.
A positivity-preserving hybrid DDG method for Poisson--Nernst--Planck systems Markowich.The Stationary Semiconductor Device Equations
Reference 29
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T12:46:05.747128Z
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.
Observation e673a8e8-7bd0-4dd6-9ca7-88ea2ff0d780 · outbound
This paper cites an unresolved cited work.
A positivity-preserving hybrid DDG method for Poisson--Nernst--Planck systems Unresolved cited work
Reference 30
- Resolution
- unresolved
- raw_fallback, observed 2026-08-07T12:46:05.596319Z
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.
Observation fd7cad26-f25b-4a19-b008-ebbb77eff490 · outbound
This paper cites Metti, J.
A positivity-preserving hybrid DDG method for Poisson--Nernst--Planck systems Metti, J
Reference 31
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T12:46:05.451592Z
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.
Observation 8ca155a4-5517-43e6-af66-0c973962e4f8 · outbound
This paper cites an unresolved cited work.
A positivity-preserving hybrid DDG method for Poisson--Nernst--Planck systems Unresolved cited work
Reference 32
- Resolution
- unresolved
- raw_fallback, observed 2026-08-07T12:46:05.262468Z
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.
Observation f7f09ff6-3d4f-4b42-aa5b-6634d520a889 · outbound
This paper cites Shen and J.
A positivity-preserving hybrid DDG method for Poisson--Nernst--Planck systems Shen and J
Reference 33
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T12:46:05.024341Z
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.
Observation 23a8ae58-3c94-4f40-bd17-5c4fab5318da · outbound
This paper cites Su and H.
A positivity-preserving hybrid DDG method for Poisson--Nernst--Planck systems Su and H
Reference 34
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T12:46:04.863999Z
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.
Observation e78b41bf-f4b6-424c-a0e5-f6c1b70211be · outbound
This paper cites an unresolved cited work.
A positivity-preserving hybrid DDG method for Poisson--Nernst--Planck systems Unresolved cited work
Reference 35
- Resolution
- unresolved
- raw_fallback, observed 2026-08-07T12:46:04.671973Z
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.
Observation 65f798d8-a65a-42f9-8a50-98cff0b152d6 · outbound
This paper cites an unresolved cited work.
A positivity-preserving hybrid DDG method for Poisson--Nernst--Planck systems Unresolved cited work
Reference 36
- Resolution
- unresolved
- raw_fallback, observed 2026-08-07T12:46:04.470988Z
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.
Observation c457907e-ba85-42f7-aba3-6f61601f7229 · outbound
This paper cites an unresolved cited work.
A positivity-preserving hybrid DDG method for Poisson--Nernst--Planck systems Unresolved cited work
Reference 37
- Resolution
- unresolved
- raw_fallback, observed 2026-08-07T12:46:04.299933Z
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.
Observation ea579237-722a-488b-a416-86fbf3266f5f · outbound
This paper cites an unresolved cited work.
A positivity-preserving hybrid DDG method for Poisson--Nernst--Planck systems Unresolved cited work
Reference 38
- Resolution
- unresolved
- raw_fallback, observed 2026-08-07T12:46:04.054725Z
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.
Observation 7494872c-30f9-46bc-ba65-916e699b8632 · outbound
This paper cites Zhang and C.-W.
A positivity-preserving hybrid DDG method for Poisson--Nernst--Planck systems Zhang and C.-W
Reference 39
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T12:46:03.886562Z
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.
Pith citing papers
No inbound Pith citation observations are available.