Paper Citation Record · LEDGER

Asymptotic limit of a vector-valued Allen-Cahn equation for phase transition dynamics

As of 22 August 2026, this Paper Citation Record lists 36 of 36 outbound references and 0 inbound Pith citation observations for arXiv:2508.18754.

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

pith.paper-citation-record.v1
2508.18754 v1

Coverage vector

measured 36 of 36 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-05T16:23:48.022651Z

measured 36 of 36 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-22T06:32:14.747728+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

36 of 36 outbound references displayed

verified exact1
verified fuzzy3
unresolved32
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 4f10efc8-2898-49f6-85ca-2861ca8b5169 · outbound

This paper cites an unresolved cited work.

Asymptotic limit of a vector-valued Allen-Cahn equation for phase transition dynamics Unresolved cited work

Reference 1

Resolution: unresolved; raw_fallback, observed 2026-08-05T16:23:57.780717Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation db0fbf51-acb9-48cd-b77b-906f85501473 · outbound

This paper cites an unresolved cited work.

Asymptotic limit of a vector-valued Allen-Cahn equation for phase transition dynamics Unresolved cited work

Reference 2

Resolution: unresolved; raw_fallback, observed 2026-08-05T16:23:57.405977Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 916ec888-7f37-4b3c-b34d-923743bbbb16 · outbound

This paper cites an unresolved cited work.

Asymptotic limit of a vector-valued Allen-Cahn equation for phase transition dynamics Unresolved cited work

Reference 3

Resolution: unresolved; raw_fallback, observed 2026-08-05T16:23:56.993164Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation a6987c5e-39e3-49bf-93af-df33d71f868e · outbound

This paper cites Acta Metall.

Asymptotic limit of a vector-valued Allen-Cahn equation for phase transition dynamics Acta Metall

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T16:23:56.641746Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 6629bda4-aec4-4e40-8de0-524ce53983c1 · outbound

This paper cites Asymptotics for two-dimensional vectorial Allen-Cahn systems.

Asymptotic limit of a vector-valued Allen-Cahn equation for phase transition dynamics Asymptotics for two-dimensional vectorial Allen-Cahn systems

Reference 5

Resolution: verified exact; local_arxiv, observed 2026-08-05T16:23:48.292443Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation ef32d5e7-ea8c-443b-b17d-5e72aa54913d · outbound

This paper cites an unresolved cited work.

Asymptotic limit of a vector-valued Allen-Cahn equation for phase transition dynamics Unresolved cited work

Reference 6

Resolution: unresolved; raw_fallback, observed 2026-08-05T16:23:56.300059Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 2559b61e-7b46-4528-9577-638e6db6fbdd · outbound

This paper cites an unresolved cited work.

Asymptotic limit of a vector-valued Allen-Cahn equation for phase transition dynamics Unresolved cited work

Reference 7

Resolution: unresolved; raw_fallback, observed 2026-08-05T16:23:55.930927Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 09f34627-dc83-4f9e-a371-a4f3f5f0368a · outbound

This paper cites an unresolved cited work.

Asymptotic limit of a vector-valued Allen-Cahn equation for phase transition dynamics Unresolved cited work

Reference 8

Resolution: unresolved; raw_fallback, observed 2026-08-05T16:23:55.545606Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 65349d07-594d-4d24-9b16-bdbb75934bd5 · outbound

This paper cites an unresolved cited work.

Asymptotic limit of a vector-valued Allen-Cahn equation for phase transition dynamics Unresolved cited work

Reference 9

Resolution: unresolved; raw_fallback, observed 2026-08-05T16:23:55.176961Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 7b99a096-f8ad-4fef-abc8-544436e092a7 · outbound

This paper cites an unresolved cited work.

Asymptotic limit of a vector-valued Allen-Cahn equation for phase transition dynamics Unresolved cited work

Reference 10

Resolution: unresolved; raw_fallback, observed 2026-08-05T16:23:54.845936Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 7c07d714-95e6-4e44-bbbd-ffb0a0e67e21 · outbound

This paper cites an unresolved cited work.

Asymptotic limit of a vector-valued Allen-Cahn equation for phase transition dynamics Unresolved cited work

Reference 11

Resolution: unresolved; raw_fallback, observed 2026-08-05T16:23:54.505229Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 9a2d31bb-e2af-4d0d-a85b-b241c4f61f70 · outbound

This paper cites an unresolved cited work.

Asymptotic limit of a vector-valued Allen-Cahn equation for phase transition dynamics Unresolved cited work

Reference 12

Resolution: unresolved; raw_fallback, observed 2026-08-05T16:23:54.134350Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation ec673815-2778-4331-873e-8932728def35 · outbound

This paper cites an unresolved cited work.

Asymptotic limit of a vector-valued Allen-Cahn equation for phase transition dynamics Unresolved cited work

Reference 13

Resolution: unresolved; raw_fallback, observed 2026-08-05T16:23:53.829252Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 5977871b-d29e-45ec-b63c-ab91a38f481f · outbound

This paper cites Peking Math.

Asymptotic limit of a vector-valued Allen-Cahn equation for phase transition dynamics Peking Math

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T16:23:53.473661Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation c5dfb1aa-bf4e-42dc-a400-22709818ba3d · outbound

This paper cites an unresolved cited work.

Asymptotic limit of a vector-valued Allen-Cahn equation for phase transition dynamics Unresolved cited work

Reference 15

Resolution: unresolved; raw_fallback, observed 2026-08-05T16:23:53.198872Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation caa0d1e4-1888-4de1-86d3-39139197b0a3 · outbound

This paper cites an unresolved cited work.

Asymptotic limit of a vector-valued Allen-Cahn equation for phase transition dynamics Unresolved cited work

Reference 16

Resolution: unresolved; raw_fallback, observed 2026-08-05T16:23:52.846848Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 725a157c-9159-4181-ab5a-5c2867d50ef6 · outbound

This paper cites an unresolved cited work.

Asymptotic limit of a vector-valued Allen-Cahn equation for phase transition dynamics Unresolved cited work

Reference 17

Resolution: unresolved; raw_fallback, observed 2026-08-05T16:23:52.577087Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 4b6de26e-2170-4586-b57d-663c1298e416 · outbound

This paper cites an unresolved cited work.

Asymptotic limit of a vector-valued Allen-Cahn equation for phase transition dynamics Unresolved cited work

Reference 18

Resolution: unresolved; raw_fallback, observed 2026-08-05T16:23:52.193436Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation cb8e0ab5-dc7e-42f8-83de-e4d12f308671 · outbound

This paper cites an unresolved cited work.

Asymptotic limit of a vector-valued Allen-Cahn equation for phase transition dynamics Unresolved cited work

Reference 19

Resolution: unresolved; raw_fallback, observed 2026-08-05T16:23:51.984281Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 70d66c82-8da8-4c6a-bab2-27ba801dacb1 · outbound

This paper cites an unresolved cited work.

Asymptotic limit of a vector-valued Allen-Cahn equation for phase transition dynamics Unresolved cited work

Reference 20

Resolution: unresolved; raw_fallback, observed 2026-08-05T16:23:51.613698Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 4f78630d-115d-4037-b2d2-e0251e8f83e4 · outbound

This paper cites an unresolved cited work.

Asymptotic limit of a vector-valued Allen-Cahn equation for phase transition dynamics Unresolved cited work

Reference 21

Resolution: unresolved; raw_fallback, observed 2026-08-05T16:23:51.338255Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 70bbebfa-9b26-476d-9790-4cf6c7fa93a8 · outbound

This paper cites an unresolved cited work.

Asymptotic limit of a vector-valued Allen-Cahn equation for phase transition dynamics Unresolved cited work

Reference 22

Resolution: unresolved; raw_fallback, observed 2026-08-05T16:23:51.072791Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 9f2a4c9c-4229-4f20-8cc0-fdc5180fe7cc · outbound

This paper cites an unresolved cited work.

Asymptotic limit of a vector-valued Allen-Cahn equation for phase transition dynamics Unresolved cited work

Reference 23

Resolution: unresolved; raw_fallback, observed 2026-08-05T16:23:50.902674Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 049307ee-a5af-4ee8-80ca-b9b0a654249e · outbound

This paper cites an unresolved cited work.

Asymptotic limit of a vector-valued Allen-Cahn equation for phase transition dynamics Unresolved cited work

Reference 24

Resolution: unresolved; raw_fallback, observed 2026-08-05T16:23:50.803834Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation d23796e9-4e74-4cf0-87bb-52c0d71a80bd · outbound

This paper cites an unresolved cited work.

Asymptotic limit of a vector-valued Allen-Cahn equation for phase transition dynamics Unresolved cited work

Reference 25

Resolution: unresolved; raw_fallback, observed 2026-08-05T16:23:50.538158Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation d211fd73-5710-4752-8268-2fa272446c63 · outbound

This paper cites an unresolved cited work.

Asymptotic limit of a vector-valued Allen-Cahn equation for phase transition dynamics Unresolved cited work

Reference 26

Resolution: unresolved; raw_fallback, observed 2026-08-05T16:23:50.339502Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation ddd96de9-60ae-4489-9979-a732104ec985 · outbound

This paper cites an unresolved cited work.

Asymptotic limit of a vector-valued Allen-Cahn equation for phase transition dynamics Unresolved cited work

Reference 27

Resolution: unresolved; raw_fallback, observed 2026-08-05T16:23:50.132873Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation a701b3c8-3467-489c-b2d5-ab29f4ae6c13 · outbound

This paper cites an unresolved cited work.

Asymptotic limit of a vector-valued Allen-Cahn equation for phase transition dynamics Unresolved cited work

Reference 28

Resolution: unresolved; raw_fallback, observed 2026-08-05T16:23:49.948296Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 870bd2db-2522-4210-a0ee-94a33db60242 · outbound

This paper cites Asymptot.

Asymptotic limit of a vector-valued Allen-Cahn equation for phase transition dynamics Asymptot

Reference 29

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T16:23:49.770741Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 2839059c-246f-4765-bd09-86242dddd908 · outbound

This paper cites an unresolved cited work.

Asymptotic limit of a vector-valued Allen-Cahn equation for phase transition dynamics Unresolved cited work

Reference 30

Resolution: unresolved; raw_fallback, observed 2026-08-05T16:23:49.625400Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation f2949c54-fdd5-4838-9104-ac64417c582e · outbound

This paper cites an unresolved cited work.

Asymptotic limit of a vector-valued Allen-Cahn equation for phase transition dynamics Unresolved cited work

Reference 31

Resolution: unresolved; raw_fallback, observed 2026-08-05T16:23:49.508345Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 7f150ef0-3930-45d3-8c2a-2ed60c386c03 · outbound

This paper cites an unresolved cited work.

Asymptotic limit of a vector-valued Allen-Cahn equation for phase transition dynamics Unresolved cited work

Reference 32

Resolution: unresolved; raw_fallback, observed 2026-08-05T16:23:49.335314Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 272268c4-4ce8-4d28-b5c4-ad65ab756b08 · outbound

This paper cites an unresolved cited work.

Asymptotic limit of a vector-valued Allen-Cahn equation for phase transition dynamics Unresolved cited work

Reference 33

Resolution: unresolved; raw_fallback, observed 2026-08-05T16:23:49.211245Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 2237b008-4d00-4216-a767-aa7f88389541 · outbound

This paper cites an unresolved cited work.

Asymptotic limit of a vector-valued Allen-Cahn equation for phase transition dynamics Unresolved cited work

Reference 34

Resolution: unresolved; raw_fallback, observed 2026-08-05T16:23:49.048582Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation c80d3c8b-c140-42fc-9d96-86d183bdbd26 · outbound

This paper cites an unresolved cited work.

Asymptotic limit of a vector-valued Allen-Cahn equation for phase transition dynamics Unresolved cited work

Reference 35

Resolution: unresolved; raw_fallback, observed 2026-08-05T16:23:48.812842Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 24e0d418-d33f-41f7-b728-d668bc1debd8 · outbound

This paper cites an unresolved cited work.

Asymptotic limit of a vector-valued Allen-Cahn equation for phase transition dynamics Unresolved cited work

Reference 36

Resolution: unresolved; raw_fallback, observed 2026-08-05T16:23:48.543744Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Pith citing papers

No inbound Pith citation observations are available.