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Paper Citation Record · LEDGER

A penalized Allen-Cahn equation for the mean curvature flow of thin structures

As of 8 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 4 inbound Pith citation observations for arXiv:2310.10272.

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

pith.paper-citation-record.v1
2310.10272 v2

Coverage vector

measured 0 of 0 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links

measured 4 of 4 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 4 of 4 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-05T22:40:09.421273Z

measured 0 of 1 external citation measurements

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

Source: pith, observed 2026-07-03T00:47:30.210337Z

Reference resolution

0 of 0 outbound references displayed

  • verified exact0
  • verified fuzzy0
  • unresolved0
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

No outbound reference observations are available for this paper version.

Pith citing papers

Observation 3968f739-e61f-4365-9101-aed980d98861 · inbound

Variational volume reconstruction with the Deep Ritz Method cites this paper.

Variational volume reconstruction with the Deep Ritz Method A penalized Allen-Cahn equation for the mean curvature flow of thin structures

Reference 6

Resolution
unresolved
no resolver link, observed 2026-08-05T22:40:09.421273Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-05T22:40:09.421273Z digest=sha256:37941896c75502a713f4597b6c45a91f901c3d290049385975226aa96c6db7a1

Observation 2193f1e5-05d2-4e5b-acd7-43123fa97b94 · inbound

Learning Gradient Flow: Using Equation Discovery to Accelerate Engineering Optimization cites this paper.

Learning Gradient Flow: Using Equation Discovery to Accelerate Engineering Optimization A penalized Allen-Cahn equation for the mean curvature flow of thin structures

Reference 12

Resolution
unresolved
no resolver link, observed 2026-08-02T23:34:42.494741Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-02T23:34:42.494741Z digest=sha256:49058b6edd0143e1e0f9d933469619b2cb51a91fe57bf30d9fbc5451d8cb6c6a

Observation 3550f85a-090c-44d8-b3a4-7e8d6cd8d296 · inbound

From inverse problems to neural operators: prediction, mechanism, and generalization of data-driven models cites this paper.

From inverse problems to neural operators: prediction, mechanism, and generalization of data-driven models A penalized Allen-Cahn equation for the mean curvature flow of thin structures

Reference 38

Resolution
verified exact
local_arxiv, observed 2026-07-03T00:47:30.211758Z

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.

source=pdf_text observed=2026-06-27T17:03:15.379147Z digest=sha256:e10a185c58b01b854f275c5d3374655957b3bdf49c2bad8245864a7a7a5f2bf4

Observation b769689c-a1ba-427d-ad99-949783a682e9 · inbound

From inverse problems to neural operators: prediction, mechanism, and generalization of data-driven models cites this paper.

From inverse problems to neural operators: prediction, mechanism, and generalization of data-driven models A penalized Allen-Cahn equation for the mean curvature flow of thin structures

Reference 38

Resolution
unresolved
no resolver link, observed 2026-08-02T12:05:37.646705Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-02T12:05:37.646705Z digest=sha256:986e3af909dcfe958a41ab2ed33e2f0c18ded333c5ae5ea4a0b9c092f966d401