Paper Citation Record · LEDGER

The vector-valued Allen-Cahn equation with potentials of high-dimensional double-wells under Robin boundary conditions

As of 18 August 2026, this Paper Citation Record lists 43 of 43 outbound references and 0 inbound Pith citation observations for arXiv:2506.00392.

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

pith.paper-citation-record.v1
2506.00392 v1

Coverage vector

measured 43 of 43 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-07T12:14:35.705362Z

measured 43 of 43 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-18T06:34:40.430872+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

43 of 43 outbound references displayed

verified exact2
verified fuzzy24
unresolved17
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 98493fb3-01a1-474a-94f5-47ffa2ad950e · outbound

This paper cites Abels and M.

The vector-valued Allen-Cahn equation with potentials of high-dimensional double-wells under Robin boundary conditions Abels and M

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T12:14:45.848643Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation f564ba48-d893-452c-87ab-944bd881943f · outbound

This paper cites Abels and M.

The vector-valued Allen-Cahn equation with potentials of high-dimensional double-wells under Robin boundary conditions Abels and M

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T12:14:45.699750Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation d5a2e215-2aa9-47f5-b6ce-1c650a4dd574 · outbound

This paper cites Ambrosio.

The vector-valued Allen-Cahn equation with potentials of high-dimensional double-wells under Robin boundary conditions Ambrosio

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T12:14:45.420459Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 913005e0-acd5-428a-ace0-98ac787a658d · outbound

This paper cites Ambrosio and G.

The vector-valued Allen-Cahn equation with potentials of high-dimensional double-wells under Robin boundary conditions Ambrosio and G

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T12:14:45.172304Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation dab254ce-a59c-40a3-abc5-bd541fd26f90 · outbound

This paper cites Ambrosio, N.

The vector-valued Allen-Cahn equation with potentials of high-dimensional double-wells under Robin boundary conditions Ambrosio, N

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T12:14:44.924203Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation c0045909-8b90-4bbf-a1c7-36bf50d01448 · outbound

This paper cites an unresolved cited work.

The vector-valued Allen-Cahn equation with potentials of high-dimensional double-wells under Robin boundary conditions Unresolved cited work

Reference 6

Resolution: unresolved; raw_fallback, observed 2026-08-07T12:14:44.576791Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation eb530659-1d02-4513-9fc3-270156d64a58 · outbound

This paper cites an unresolved cited work.

The vector-valued Allen-Cahn equation with potentials of high-dimensional double-wells under Robin boundary conditions Unresolved cited work

Reference 7

Resolution: unresolved; raw_fallback, observed 2026-08-07T12:14:44.347963Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 6a568236-edb7-4a34-b6f1-6d7ee79cb05c · outbound

This paper cites Chen and M.

The vector-valued Allen-Cahn equation with potentials of high-dimensional double-wells under Robin boundary conditions Chen and M

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T12:14:44.042152Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 77b40250-bb71-40fc-b5a4-b3e8a1582911 · outbound

This paper cites De Mottoni and M.

The vector-valued Allen-Cahn equation with potentials of high-dimensional double-wells under Robin boundary conditions De Mottoni and M

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T12:14:43.763966Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation e3fce461-c76a-4638-90aa-ead62fb5798e · outbound

This paper cites an unresolved cited work.

The vector-valued Allen-Cahn equation with potentials of high-dimensional double-wells under Robin boundary conditions Unresolved cited work

Reference 10

Resolution: unresolved; raw_fallback, observed 2026-08-07T12:14:43.333774Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation c87f2eb9-ec22-46f2-8ef4-a61d54d72b36 · outbound

This paper cites an unresolved cited work.

The vector-valued Allen-Cahn equation with potentials of high-dimensional double-wells under Robin boundary conditions Unresolved cited work

Reference 11

Resolution: unresolved; raw_fallback, observed 2026-08-07T12:14:43.126866Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 7e2c6419-0649-4742-aefd-361ee582b45c · outbound

This paper cites Fischer and S.

The vector-valued Allen-Cahn equation with potentials of high-dimensional double-wells under Robin boundary conditions Fischer and S

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T12:14:42.829806Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 641be8bf-83e3-420c-84c7-a177499af2b0 · outbound

This paper cites Fischer, S.

The vector-valued Allen-Cahn equation with potentials of high-dimensional double-wells under Robin boundary conditions Fischer, S

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T12:14:42.590740Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 4757f64a-08a5-4106-bae5-e6b6b620b98e · outbound

This paper cites Fischer, T.

The vector-valued Allen-Cahn equation with potentials of high-dimensional double-wells under Robin boundary conditions Fischer, T

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T12:14:42.296623Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 31f50455-16a8-40c5-aac3-173da09c9ed4 · outbound

This paper cites Fonseca and L.

The vector-valued Allen-Cahn equation with potentials of high-dimensional double-wells under Robin boundary conditions Fonseca and L

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T12:14:42.060178Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation ee73c479-d018-46f0-b769-2ab9665327b7 · outbound

This paper cites an unresolved cited work.

The vector-valued Allen-Cahn equation with potentials of high-dimensional double-wells under Robin boundary conditions Unresolved cited work

Reference 16

Resolution: unresolved; raw_fallback, observed 2026-08-07T12:14:41.788807Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 6797ca84-ef0f-4634-ba66-4ba5781b2289 · outbound

This paper cites BV solutions for mean curvature flow with constant contact angle: Allen-Cahn approximation and weak-strong uniqueness.

The vector-valued Allen-Cahn equation with potentials of high-dimensional double-wells under Robin boundary conditions BV solutions for mean curvature flow with constant contact angle: Allen-Cahn approximation and weak-strong uniqueness

Reference 17

Resolution: verified exact; local_arxiv, observed 2026-08-07T12:14:36.201956Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 59f0d7be-b4ad-41da-bd0a-6f7195d8b5e6 · outbound

This paper cites Hensel and T.

The vector-valued Allen-Cahn equation with potentials of high-dimensional double-wells under Robin boundary conditions Hensel and T

Reference 18

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T12:14:41.604780Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 4f944c72-0eb9-4fce-af05-b3aa5a401522 · outbound

This paper cites Hensel and M.

The vector-valued Allen-Cahn equation with potentials of high-dimensional double-wells under Robin boundary conditions Hensel and M

Reference 19

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T12:14:41.436936Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation e3a90430-4892-4d32-a9f0-99196e3ed257 · outbound

This paper cites an unresolved cited work.

The vector-valued Allen-Cahn equation with potentials of high-dimensional double-wells under Robin boundary conditions Unresolved cited work

Reference 20

Resolution: unresolved; raw_fallback, observed 2026-08-07T12:14:41.224775Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation bea4a63f-3eac-4c7f-9d95-cbcc93ab1cd2 · outbound

This paper cites an unresolved cited work.

The vector-valued Allen-Cahn equation with potentials of high-dimensional double-wells under Robin boundary conditions Unresolved cited work

Reference 21

Resolution: unresolved; raw_fallback, observed 2026-08-07T12:14:40.978085Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation c9f47061-7668-4946-9247-751c268e7851 · outbound

This paper cites Katsoulakis, G.

The vector-valued Allen-Cahn equation with potentials of high-dimensional double-wells under Robin boundary conditions Katsoulakis, G

Reference 22

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T12:14:40.851230Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 3791f2da-9d8d-4c1f-bc5b-e41b30d32252 · outbound

This paper cites Kroemer and T.

The vector-valued Allen-Cahn equation with potentials of high-dimensional double-wells under Robin boundary conditions Kroemer and T

Reference 23

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T12:14:40.680217Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation a7e951d5-619d-485e-b370-872fd4b1236f · outbound

This paper cites an unresolved cited work.

The vector-valued Allen-Cahn equation with potentials of high-dimensional double-wells under Robin boundary conditions Unresolved cited work

Reference 24

Resolution: unresolved; raw_fallback, observed 2026-08-07T12:14:40.409788Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation e5a0169a-f7c0-4f38-bf11-5436ff748cea · outbound

This paper cites Laux and Y.

The vector-valued Allen-Cahn equation with potentials of high-dimensional double-wells under Robin boundary conditions Laux and Y

Reference 25

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T12:14:40.210198Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 890bc95d-6bb7-4d04-980a-033f30d30ddf · outbound

This paper cites Laux and T.

The vector-valued Allen-Cahn equation with potentials of high-dimensional double-wells under Robin boundary conditions Laux and T

Reference 26

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T12:14:40.024933Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 502252b4-084e-4b0f-a696-d444974f4abe · outbound

This paper cites an unresolved cited work.

The vector-valued Allen-Cahn equation with potentials of high-dimensional double-wells under Robin boundary conditions Unresolved cited work

Reference 27

Resolution: unresolved; raw_fallback, observed 2026-08-07T12:14:39.815827Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 81036cba-af81-4665-8f1e-c95f52962da6 · outbound

This paper cites an unresolved cited work.

The vector-valued Allen-Cahn equation with potentials of high-dimensional double-wells under Robin boundary conditions Unresolved cited work

Reference 28

Resolution: unresolved; raw_fallback, observed 2026-08-07T12:14:39.639026Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation e3cffe55-722e-4563-819e-4572d5e1c6ba · outbound

This paper cites Lin and C.

The vector-valued Allen-Cahn equation with potentials of high-dimensional double-wells under Robin boundary conditions Lin and C

Reference 29

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T12:14:39.474535Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 9798ec87-5741-43e4-b38d-943d11b39e67 · outbound

This paper cites Lin and C.

The vector-valued Allen-Cahn equation with potentials of high-dimensional double-wells under Robin boundary conditions Lin and C

Reference 30

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T12:14:39.305177Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation f382b267-c3c8-4a76-b3e3-a81b52b43b7e · outbound

This paper cites an unresolved cited work.

The vector-valued Allen-Cahn equation with potentials of high-dimensional double-wells under Robin boundary conditions Unresolved cited work

Reference 31

Resolution: unresolved; raw_fallback, observed 2026-08-07T12:14:39.137679Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation fa4a184a-835a-449e-82f0-0f9d0ad1519d · outbound

This paper cites an unresolved cited work.

The vector-valued Allen-Cahn equation with potentials of high-dimensional double-wells under Robin boundary conditions Unresolved cited work

Reference 32

Resolution: unresolved; raw_fallback, observed 2026-08-07T12:14:38.914927Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 4a96842f-6448-460f-aedf-927600d90e1a · outbound

This paper cites an unresolved cited work.

The vector-valued Allen-Cahn equation with potentials of high-dimensional double-wells under Robin boundary conditions Unresolved cited work

Reference 33

Resolution: unresolved; raw_fallback, observed 2026-08-07T12:14:38.694832Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation b622836d-dc25-4b33-a2ee-067ab70e1a64 · outbound

This paper cites A hierarchy of Plateau problems and the approximation of Plateau's laws via the Allen--Cahn equation.

The vector-valued Allen-Cahn equation with potentials of high-dimensional double-wells under Robin boundary conditions A hierarchy of Plateau problems and the approximation of Plateau's laws via the Allen--Cahn equation

Reference 34

Resolution: unresolved; no resolver link, observed 2026-08-07T12:14:34.811913Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation d58df645-2e4f-4d27-b533-e1f13c0d7b33 · outbound

This paper cites Mal´ y, D.

The vector-valued Allen-Cahn equation with potentials of high-dimensional double-wells under Robin boundary conditions Mal´ y, D

Reference 35

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T12:14:38.441988Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation a77a8255-7ab1-4c99-ae9e-163d0288af01 · outbound

This paper cites Gradient flow of phase transitions with fixed contact angle.

The vector-valued Allen-Cahn equation with potentials of high-dimensional double-wells under Robin boundary conditions Gradient flow of phase transitions with fixed contact angle

Reference 36

Resolution: verified exact; local_arxiv, observed 2026-08-07T12:14:35.978032Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 945bb00c-9143-4705-9c12-b6bc520fcb4f · outbound

This paper cites Mizuno and Y.

The vector-valued Allen-Cahn equation with potentials of high-dimensional double-wells under Robin boundary conditions Mizuno and Y

Reference 37

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T12:14:38.137974Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 26b78ecc-2a93-4669-b218-72213d5ea8d2 · outbound

This paper cites an unresolved cited work.

The vector-valued Allen-Cahn equation with potentials of high-dimensional double-wells under Robin boundary conditions Unresolved cited work

Reference 38

Resolution: unresolved; raw_fallback, observed 2026-08-07T12:14:37.876587Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation adfc6e21-52eb-4f50-b947-93874037acd1 · outbound

This paper cites an unresolved cited work.

The vector-valued Allen-Cahn equation with potentials of high-dimensional double-wells under Robin boundary conditions Unresolved cited work

Reference 39

Resolution: unresolved; raw_fallback, observed 2026-08-07T12:14:37.522658Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 47753543-e591-4992-b0a3-8f639d2d3c50 · outbound

This paper cites an unresolved cited work.

The vector-valued Allen-Cahn equation with potentials of high-dimensional double-wells under Robin boundary conditions Unresolved cited work

Reference 40

Resolution: unresolved; raw_fallback, observed 2026-08-07T12:14:37.287762Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 2f4f5d50-6c54-48a2-8e6b-b0859baa2c70 · outbound

This paper cites Rubinstein, P.

The vector-valued Allen-Cahn equation with potentials of high-dimensional double-wells under Robin boundary conditions Rubinstein, P

Reference 41

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T12:14:36.992382Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation a54f9105-35ca-49ba-8d94-7a976f41f3f3 · outbound

This paper cites Rubinstein, P.

The vector-valued Allen-Cahn equation with potentials of high-dimensional double-wells under Robin boundary conditions Rubinstein, P

Reference 42

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T12:14:36.726818Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 36fe27ba-886c-439d-8adf-59696a6d66a2 · outbound

This paper cites Sternberg.

The vector-valued Allen-Cahn equation with potentials of high-dimensional double-wells under Robin boundary conditions Sternberg

Reference 43

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T12:14:36.486375Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Pith citing papers

No inbound Pith citation observations are available.