Paper Citation Record · LEDGER

Overcoming logarithmic singularities in the Cahn-Hilliard equation with Flory-Huggins potential: An unconditionally convergent ADMM approach

As of 7 August 2026, this Paper Citation Record lists 27 of 27 outbound references and 1 inbound Pith citation observation for arXiv:2506.09361.

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

pith.paper-citation-record.v1
2506.09361 v1

Coverage vector

measured 27 of 27 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-07T05:00:59.195803Z

measured 28 of 28 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 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-06-29T16:15:14.122778Z

measured 0 of 1 external citation measurements

A source-named dated measurement, never combined with another source.

Source: arxiv_reference, observed 2026-06-29T16:23:39.612146Z

Reference resolution

27 of 27 outbound references displayed

verified exact0
verified fuzzy14
unresolved12
parse uncertain0
malformed identifier1
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation eac1e862-11bc-4178-918f-629c0b9312c2 · outbound

This paper cites Abels and M.

Overcoming logarithmic singularities in the Cahn-Hilliard equation with Flory-Huggins potential: An unconditionally convergent ADMM approach Abels and M

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T05:00:59.497368Z

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.

Observation 7ead3234-3ee7-4d04-aac1-54b749559359 · outbound

This paper cites an unresolved cited work.

Overcoming logarithmic singularities in the Cahn-Hilliard equation with Flory-Huggins potential: An unconditionally convergent ADMM approach Unresolved cited work

Reference 2

Resolution: malformed identifier; raw_fallback, observed 2026-08-07T05:00:59.487081Z

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.

Observation 13ef8083-782d-45ae-861a-6fadbece3bf3 · outbound

This paper cites an unresolved cited work.

Overcoming logarithmic singularities in the Cahn-Hilliard equation with Flory-Huggins potential: An unconditionally convergent ADMM approach Unresolved cited work

Reference 3

Resolution: unresolved; raw_fallback, observed 2026-08-07T05:00:59.476870Z

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.

Observation bd6c0f93-eb17-48c7-a496-6374734a2904 · outbound

This paper cites an unresolved cited work.

Overcoming logarithmic singularities in the Cahn-Hilliard equation with Flory-Huggins potential: An unconditionally convergent ADMM approach Unresolved cited work

Reference 4

Resolution: unresolved; raw_fallback, observed 2026-08-07T05:00:59.466538Z

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.

Observation b00289b0-2aa3-431d-ae32-362a88d8e3ef · outbound

This paper cites an unresolved cited work.

Overcoming logarithmic singularities in the Cahn-Hilliard equation with Flory-Huggins potential: An unconditionally convergent ADMM approach Unresolved cited work

Reference 5

Resolution: unresolved; raw_fallback, observed 2026-08-07T05:00:59.456575Z

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.

Observation 0106d272-887c-441d-be62-5df69fe1464d · outbound

This paper cites Cherfils, A.

Overcoming logarithmic singularities in the Cahn-Hilliard equation with Flory-Huggins potential: An unconditionally convergent ADMM approach Cherfils, A

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T05:00:59.446194Z

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.

Observation 6bd8ed67-c9af-4fe7-a59c-1534a9b9afbb · outbound

This paper cites an unresolved cited work.

Overcoming logarithmic singularities in the Cahn-Hilliard equation with Flory-Huggins potential: An unconditionally convergent ADMM approach Unresolved cited work

Reference 7

Resolution: unresolved; raw_fallback, observed 2026-08-07T05:00:59.436140Z

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.

Observation 23398ab4-5194-42b8-bcf4-d5ff8a971e1a · outbound

This paper cites Debussche and L.

Overcoming logarithmic singularities in the Cahn-Hilliard equation with Flory-Huggins potential: An unconditionally convergent ADMM approach Debussche and L

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T05:00:59.426309Z

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.

Observation 2dccc1a8-5966-4bf1-8d8c-9461b29cc828 · outbound

This paper cites an unresolved cited work.

Overcoming logarithmic singularities in the Cahn-Hilliard equation with Flory-Huggins potential: An unconditionally convergent ADMM approach Unresolved cited work

Reference 9

Resolution: unresolved; raw_fallback, observed 2026-08-07T05:00:59.416157Z

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.

Observation 17a78438-0f6c-4b4f-8c2b-da4564494d2f · outbound

This paper cites Doi,Soft matter physics, Oxford University Press, 2013.

Overcoming logarithmic singularities in the Cahn-Hilliard equation with Flory-Huggins potential: An unconditionally convergent ADMM approach Doi,Soft matter physics, Oxford University Press, 2013

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T05:00:59.406181Z

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.

Observation 0fb1e270-f797-49e7-bad8-594191009b07 · outbound

This paper cites Du and X.

Overcoming logarithmic singularities in the Cahn-Hilliard equation with Flory-Huggins potential: An unconditionally convergent ADMM approach Du and X

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T05:00:59.395969Z

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.

Observation e1200871-ed27-4720-99b4-b5b54cf06f16 · outbound

This paper cites an unresolved cited work.

Overcoming logarithmic singularities in the Cahn-Hilliard equation with Flory-Huggins potential: An unconditionally convergent ADMM approach Unresolved cited work

Reference 12

Resolution: unresolved; raw_fallback, observed 2026-08-07T05:00:59.385652Z

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.

Observation c5b67f64-ffc6-4ae1-8f74-d3a24f0c30de · outbound

This paper cites an unresolved cited work.

Overcoming logarithmic singularities in the Cahn-Hilliard equation with Flory-Huggins potential: An unconditionally convergent ADMM approach Unresolved cited work

Reference 13

Resolution: unresolved; raw_fallback, observed 2026-08-07T05:00:59.375000Z

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.

Observation 580e8ebb-ebd3-4114-8ce5-115d2ce578ec · outbound

This paper cites Fazel, K.

Overcoming logarithmic singularities in the Cahn-Hilliard equation with Flory-Huggins potential: An unconditionally convergent ADMM approach Fazel, K

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T05:00:59.365167Z

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.

Observation 38f3f011-65a0-4930-8e0a-67be56e1bc6f · outbound

This paper cites Furihata,A stable and conservative finite difference scheme for the Cahn-Hilliard equa- tion, Numerische Mathematik87(2001), 675–699.

Overcoming logarithmic singularities in the Cahn-Hilliard equation with Flory-Huggins potential: An unconditionally convergent ADMM approach Furihata,A stable and conservative finite difference scheme for the Cahn-Hilliard equa- tion, Numerische Mathematik87(2001), 675–699

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T05:00:59.355004Z

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.

Observation e3bffc92-59c9-4469-8a44-81bb232e9aae · outbound

This paper cites Hochbruck and A.

Overcoming logarithmic singularities in the Cahn-Hilliard equation with Flory-Huggins potential: An unconditionally convergent ADMM approach Hochbruck and A

Reference 16

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T05:00:59.344956Z

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.

Observation 4437ea67-b514-4c49-9648-f72a23f54f37 · outbound

This paper cites an unresolved cited work.

Overcoming logarithmic singularities in the Cahn-Hilliard equation with Flory-Huggins potential: An unconditionally convergent ADMM approach Unresolved cited work

Reference 17

Resolution: unresolved; raw_fallback, observed 2026-08-07T05:00:59.334497Z

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.

Observation 33e1d4be-2307-43a9-9041-284315dd8ee8 · outbound

This paper cites an unresolved cited work.

Overcoming logarithmic singularities in the Cahn-Hilliard equation with Flory-Huggins potential: An unconditionally convergent ADMM approach Unresolved cited work

Reference 18

Resolution: unresolved; raw_fallback, observed 2026-08-07T05:00:59.324450Z

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.

Observation 0c01a0f0-4d9d-4475-ada4-b85d33f84a95 · outbound

This paper cites Li and T.

Overcoming logarithmic singularities in the Cahn-Hilliard equation with Flory-Huggins potential: An unconditionally convergent ADMM approach Li and T

Reference 19

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T05:00:59.313214Z

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.

Observation 51ea9f65-aacf-4278-8b8a-f47521a57074 · outbound

This paper cites Miranville,On a phase-field model with a logarithmic nonlinearity, Applications of Math- ematics57(2012), 215–229.

Overcoming logarithmic singularities in the Cahn-Hilliard equation with Flory-Huggins potential: An unconditionally convergent ADMM approach Miranville,On a phase-field model with a logarithmic nonlinearity, Applications of Math- ematics57(2012), 215–229

Reference 20

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T05:00:59.302214Z

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.

Observation 3f8027fa-eee3-4ef5-9565-a6f4f49a16af · outbound

This paper cites an unresolved cited work.

Overcoming logarithmic singularities in the Cahn-Hilliard equation with Flory-Huggins potential: An unconditionally convergent ADMM approach Unresolved cited work

Reference 21

Resolution: unresolved; raw_fallback, observed 2026-08-07T05:00:59.291762Z

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.

Observation 3be81b13-ab51-422e-baf6-b42174ba9450 · outbound

This paper cites Miranville and S.

Overcoming logarithmic singularities in the Cahn-Hilliard equation with Flory-Huggins potential: An unconditionally convergent ADMM approach Miranville and S

Reference 22

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T05:00:59.280974Z

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.

Observation f0fc995c-9ddf-4a80-a182-ce39ad7a17d8 · outbound

This paper cites Tang,On effective numerical methods for phase-field models, Proceedings of the interna- tional congress of mathematicians: Rio de janeiro 2018, 2018, pp.

Overcoming logarithmic singularities in the Cahn-Hilliard equation with Flory-Huggins potential: An unconditionally convergent ADMM approach Tang,On effective numerical methods for phase-field models, Proceedings of the interna- tional congress of mathematicians: Rio de janeiro 2018, 2018, pp

Reference 23

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T05:00:59.269194Z

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.

Observation c6eb41e6-10f4-4095-980e-355369c17e5d · outbound

This paper cites Tang and Z.

Overcoming logarithmic singularities in the Cahn-Hilliard equation with Flory-Huggins potential: An unconditionally convergent ADMM approach Tang and Z

Reference 24

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T05:00:59.257316Z

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.

Observation 23bc957d-42cc-4d24-a53f-4626d5a03166 · outbound

This paper cites an unresolved cited work.

Overcoming logarithmic singularities in the Cahn-Hilliard equation with Flory-Huggins potential: An unconditionally convergent ADMM approach Unresolved cited work

Reference 25

Resolution: unresolved; raw_fallback, observed 2026-08-07T05:00:59.246280Z

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.

Observation c84d7058-4608-41e7-ac82-6b4b6c3a5b16 · outbound

This paper cites Wodo and B.

Overcoming logarithmic singularities in the Cahn-Hilliard equation with Flory-Huggins potential: An unconditionally convergent ADMM approach Wodo and B

Reference 26

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T05:00:59.235620Z

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.

Observation adaa4ae7-0820-4644-80d6-a975f39495d5 · outbound

This paper cites an unresolved cited work.

Overcoming logarithmic singularities in the Cahn-Hilliard equation with Flory-Huggins potential: An unconditionally convergent ADMM approach Unresolved cited work

Reference 27

Resolution: unresolved; raw_fallback, observed 2026-08-07T05:00:59.224526Z

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.

Pith citing papers

Observation b3c87d6f-d477-4f55-b26d-71f54c3d4234 · inbound

An Unconditionally Linearly Convergent ADMM Approach for the Allen-Cahn Equation with Flory-Huggins Potential cites this paper.

An Unconditionally Linearly Convergent ADMM Approach for the Allen-Cahn Equation with Flory-Huggins Potential Overcoming logarithmic singularities in the Cahn-Hilliard equation with Flory-Huggins potential: An unconditionally convergent ADMM approach

Reference 22

Resolution: verified exact; arxiv_id, observed 2026-06-29T16:23:39.613423Z

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.