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Paper Citation Record · LEDGER

Gradient flow of phase transitions with fixed contact angle

As of 15 August 2026, this Paper Citation Record lists 18 of 18 outbound references and 1 inbound Pith citation observation for arXiv:2411.17979.

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

pith.paper-citation-record.v1
2411.17979 v2

Coverage vector

measured 18 of 18 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-12T11:46:34.412245Z

measured 19 of 19 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-15T06:32:42.880941+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-07T12:14:35.011632Z

measured 0 of 1 external citation measurements

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

Source: pith, observed 2026-08-07T12:14:35.869280Z

Reference resolution

18 of 18 outbound references displayed

  • verified exact0
  • verified fuzzy15
  • unresolved3
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 21aa854b-1f57-4446-be08-bf00c7abc521 · outbound

This paper cites Convergence of the A llen-- C ahn equation with a nonlinear R obin boundary condition to mean curvature flow with contact angle close to 90^.

Gradient flow of phase transitions with fixed contact angle Convergence of the A llen-- C ahn equation with a nonlinear R obin boundary condition to mean curvature flow with contact angle close to 90^

Reference 1

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T11:46:34.580917Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=arxiv_source observed=2026-08-12T11:46:34.365597Z digest=sha256:8cba2d6da17dcb7d55cd22d8c36c99d98269446666a936e251e337233ff432b9

Observation 2406e644-12c0-4f87-b3d4-2514d2c98ad0 · outbound

This paper cites an unresolved cited work.

Gradient flow of phase transitions with fixed contact angle Unresolved cited work

Reference 2

Resolution
unresolved
raw_fallback, observed 2026-08-12T11:46:34.573979Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=arxiv_source observed=2026-08-12T11:46:34.368918Z digest=sha256:3543a8f977fe568f480316aa403206dd48fbfc270a071b67b7c13e09c79776b1

Observation 6757d1d1-13ed-41ca-8f7a-17e691915825 · outbound

This paper cites Regularity of free boundaries in anisotropic capillarity problems and the validity of Y oung’s law.

Gradient flow of phase transitions with fixed contact angle Regularity of free boundaries in anisotropic capillarity problems and the validity of Y oung’s law

Reference 3

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T11:46:34.565765Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=arxiv_source observed=2026-08-12T11:46:34.371241Z digest=sha256:da74a15e376f05271b5810cf3c8733d8188066d9d26c3ac00b040ffa61210b62

Observation 11aa0e86-0384-481f-a0d4-50dd2113dd7a · outbound

This paper cites Evans and Ronald F.

Gradient flow of phase transitions with fixed contact angle Evans and Ronald F

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T11:46:34.558747Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=arxiv_source observed=2026-08-12T11:46:34.373705Z digest=sha256:0ac4c4f9be15beecc26ea5e1d081b32d1bf545f750f5b859785d7c1a4094426f

Observation a44ef630-7636-4148-88d8-1af774dac613 · outbound

This paper cites an unresolved cited work.

Gradient flow of phase transitions with fixed contact angle Unresolved cited work

Reference 5

Resolution
unresolved
raw_fallback, observed 2026-08-12T11:46:34.551671Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=arxiv_source observed=2026-08-12T11:46:34.376309Z digest=sha256:7879d4f8bcf78873a3ca2ee31eab47cdc099316b9aee4ba9720440daa3a8841a

Observation 8ffed60c-c574-48a1-ba84-d01759ac26f0 · outbound

This paper cites BV solutions for mean curvature flow with constant contact angle: A llen-- C ahn approximation and weak-strong uniqueness.

Gradient flow of phase transitions with fixed contact angle BV solutions for mean curvature flow with constant contact angle: A llen-- C ahn approximation and weak-strong uniqueness

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T11:46:34.544596Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=arxiv_source observed=2026-08-12T11:46:34.378612Z digest=sha256:d995f5957b0bdaa6b52fbd56d97a22585a40b5e55ce880dae2394f1ac0422faf

Observation ccbe26db-8e2e-429e-b5aa-0800597ac3ee · outbound

This paper cites Convergence rates for the A llen– C ahn equation with boundary contact energy: the non-perturbative regime.

Gradient flow of phase transitions with fixed contact angle Convergence rates for the A llen– C ahn equation with boundary contact energy: the non-perturbative regime

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T11:46:34.535915Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=arxiv_source observed=2026-08-12T11:46:34.381279Z digest=sha256:a77a9461bef257962fe6be8293be964cace0de06eec2d052ab423c8021b3f527

Observation c4b0befa-9b14-463d-a258-c96a28b73d09 · outbound

This paper cites Hutchinson and Yoshihiro Tonegawa.

Gradient flow of phase transitions with fixed contact angle Hutchinson and Yoshihiro Tonegawa

Reference 8

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T11:46:34.527280Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=arxiv_source observed=2026-08-12T11:46:34.383378Z digest=sha256:fc5e91b10be0f6f9a338553e9152cde675a78e96c89f84eacd33798786c3636c

Observation 2ea3fe7b-6b3c-4b7e-8617-1a1cab0089bc · outbound

This paper cites Convergence of the A llen-- C ahn equation to B rakke’s motion by mean curvature.

Gradient flow of phase transitions with fixed contact angle Convergence of the A llen-- C ahn equation to B rakke’s motion by mean curvature

Reference 9

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T11:46:34.518110Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=arxiv_source observed=2026-08-12T11:46:34.385536Z digest=sha256:78dae3ede6cb73d065abfd82e966a7cc2c1badf0d60a4b2a2b9ff5adecd0158f

Observation 5103407f-5e91-4fe6-9311-949a00168621 · outbound

This paper cites Convergence of the A llen-- C ahn equation with a zero N eumann boundary condition on non-convex domains.

Gradient flow of phase transitions with fixed contact angle Convergence of the A llen-- C ahn equation with a zero N eumann boundary condition on non-convex domains

Reference 10

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T11:46:34.509436Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=arxiv_source observed=2026-08-12T11:46:34.388351Z digest=sha256:b4973ad6b0dc56e13cbb2a43412c85fa6ba7c345576f524a702a2c8612e1f30a

Observation 10025950-4980-4192-8117-4bd57fec1b7a · outbound

This paper cites A fixed contact angle condition for varifolds.

Gradient flow of phase transitions with fixed contact angle A fixed contact angle condition for varifolds

Reference 11

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T11:46:34.499916Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=arxiv_source observed=2026-08-12T11:46:34.391164Z digest=sha256:a863c521bf22166495d60d1b76c7abb0e6e75b26123662640007897072966c92

Observation 034ea744-81e1-4ab8-aa55-fdf964fd98e7 · outbound

This paper cites A singular perturbation limit of diffused interface energy with a fixed contact angle condition.

Gradient flow of phase transitions with fixed contact angle A singular perturbation limit of diffused interface energy with a fixed contact angle condition

Reference 12

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T11:46:34.490283Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=arxiv_source observed=2026-08-12T11:46:34.393945Z digest=sha256:c82a8b0806899db2e6d484964dfc55e18f4e1bdf4b87044fb4205671574da630

Observation 8fea04de-7c53-4831-805d-5bac75c47e22 · outbound

This paper cites Equality of the usual definitions of Brakke flow.

Gradient flow of phase transitions with fixed contact angle Equality of the usual definitions of Brakke flow

Reference 13

Resolution
unresolved
no resolver link, observed 2026-08-12T11:46:34.396719Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-12T11:46:34.396719Z digest=sha256:cc53ebcc51e3c9b4388aa61e9ab927353387bcf1047bd2419485e8e9fd8728ad

Observation 22344fb4-b4c3-411b-b784-96eb0abb6a70 · outbound

This paper cites Gradient theory of phase transitions with boundary contact energy.

Gradient flow of phase transitions with fixed contact angle Gradient theory of phase transitions with boundary contact energy

Reference 14

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T11:46:34.480673Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=arxiv_source observed=2026-08-12T11:46:34.400301Z digest=sha256:a539aa6b0bdd0933b621668e5680591f205cdd07879fa4559e8b5258f8ea6615

Observation 6d103912-bf29-48d1-833b-84383a43f2a4 · outbound

This paper cites Convergence of the A llen-- C ahn equation with N eumann boundary conditions.

Gradient flow of phase transitions with fixed contact angle Convergence of the A llen-- C ahn equation with N eumann boundary conditions

Reference 15

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T11:46:34.472677Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=arxiv_source observed=2026-08-12T11:46:34.403788Z digest=sha256:a1987fb25ab60ad4bb05ba050f2142437842ff3f050bc3cd5305d4008801b7ca

Observation 35c68e76-26ef-4097-982b-ef5768887128 · outbound

This paper cites Owen and Peter Sternberg.

Gradient flow of phase transitions with fixed contact angle Owen and Peter Sternberg

Reference 16

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T11:46:34.464994Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=arxiv_source observed=2026-08-12T11:46:34.406606Z digest=sha256:906469fa9b33908a202d861d6d29346fc6931aa88e9f3b8772df9ebcb06fe984

Observation 516c681c-741a-4a45-a23c-a4982a219ba5 · outbound

This paper cites Time-global existence of generalized BV flow via the A llen-- C ahn equation.

Gradient flow of phase transitions with fixed contact angle Time-global existence of generalized BV flow via the A llen-- C ahn equation

Reference 17

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T11:46:34.456834Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=arxiv_source observed=2026-08-12T11:46:34.409346Z digest=sha256:57999865f3994694d36d9909ab9fddaf0fd05176d9eb9102bb87a50d227a01a8

Observation 2da51aaf-9bfd-492d-9725-fa6ba6e82c63 · outbound

This paper cites Integrality of varifolds in the singular limit of reaction-diffusion equations.

Gradient flow of phase transitions with fixed contact angle Integrality of varifolds in the singular limit of reaction-diffusion equations

Reference 18

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T11:46:34.447584Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=arxiv_source observed=2026-08-12T11:46:34.412245Z digest=sha256:3062e3b63ec548bb82faaebe2a75a58bc37515a6ac7f4e5893942f911b585961

Pith citing papers

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

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

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 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-07T12:14:35.011632Z digest=sha256:6168f2c5fbd364716db1d90a8f8119f92b388cb56fbe6ef1c6eb2c772fa7673f