Paper Citation Record · LEDGER

The space-time-Grassmann measure of the Brakke flow

As of 15 August 2026, this Paper Citation Record lists 15 of 15 outbound references and 1 inbound Pith citation observation for arXiv:2512.19227.

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

pith.paper-citation-record.v1
2512.19227 v2

Coverage vector

measured 15 of 15 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-03T14:51:54.827879Z

measured 16 of 16 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 2026-06-26T10:07:31.734049Z

measured 0 of 1 external citation measurements

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

Source: pith, observed 2026-07-04T09:19:44.146494Z

Reference resolution

15 of 15 outbound references displayed

verified exact0
verified fuzzy0
unresolved15
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation dd888885-c090-4630-a0dd-92397e8c74dd · outbound

This paper cites an unresolved cited work.

The space-time-Grassmann measure of the Brakke flow Unresolved cited work

Reference 1

Resolution: unresolved; no resolver link, observed 2026-08-03T14:51:54.771900Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 23213818-8e27-48c5-b5e8-f1f568c45164 · outbound

This paper cites Ambrosio, N.

The space-time-Grassmann measure of the Brakke flow Ambrosio, N

Reference 2

Resolution: unresolved; no resolver link, observed 2026-08-03T14:51:54.776737Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 96c4ee61-a66e-4749-ba3c-dd78ab088a97 · outbound

This paper cites Ambrosio and H.

The space-time-Grassmann measure of the Brakke flow Ambrosio and H

Reference 3

Resolution: unresolved; no resolver link, observed 2026-08-03T14:51:54.780820Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 2bb289c1-1411-42f4-9496-bbbbc6c71546 · outbound

This paper cites Brakke.The Motion of a Surface by Its Mean Curvature.

The space-time-Grassmann measure of the Brakke flow Brakke.The Motion of a Surface by Its Mean Curvature

Reference 4

Resolution: unresolved; no resolver link, observed 2026-08-03T14:51:54.784801Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 30714d26-f6a2-4155-8971-be16650485db · outbound

This paper cites Approximate mean curvature flows of a general varifold, and their limit spacetime brakke flow.arXiv: 2510.00746, 2025.

The space-time-Grassmann measure of the Brakke flow Approximate mean curvature flows of a general varifold, and their limit spacetime brakke flow.arXiv: 2510.00746, 2025

Reference 5

Resolution: unresolved; no resolver link, observed 2026-08-03T14:51:54.788794Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 76112c52-2b21-44f1-9112-e805e31d4d0d · outbound

This paper cites Springer, Berlin, 1969, Band.

The space-time-Grassmann measure of the Brakke flow Springer, Berlin, 1969, Band

Reference 6

Resolution: unresolved; no resolver link, observed 2026-08-03T14:51:54.792941Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 590d968c-e641-4ffe-b48c-1a6e3027aebe · outbound

This paper cites A new varifold solution concept for mean curvature flow: Convergence of the Allen–Cahn equation and weak-strong uniqueness.Journal of Differential Geometry, 130(1):209 – 268, 2025.

The space-time-Grassmann measure of the Brakke flow A new varifold solution concept for mean curvature flow: Convergence of the Allen–Cahn equation and weak-strong uniqueness.Journal of Differential Geometry, 130(1):209 – 268, 2025

Reference 7

Resolution: unresolved; no resolver link, observed 2026-08-03T14:51:54.801097Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 36427e41-d9c8-48d4-b3e7-0e301715123c · outbound

This paper cites Elliptic regularizationand partial regularityfor motion by mean curvature.Memoirs of the American Mathematical Society, 108(250), 1994.

The space-time-Grassmann measure of the Brakke flow Elliptic regularizationand partial regularityfor motion by mean curvature.Memoirs of the American Mathematical Society, 108(250), 1994

Reference 8

Resolution: unresolved; no resolver link, observed 2026-08-03T14:51:54.804762Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 7a6a3491-a18c-46de-be3f-7cc80cedfac4 · outbound

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

The space-time-Grassmann measure of the Brakke flow Equality of the usual definitions of Brakke flow

Reference 9

Resolution: unresolved; no resolver link, observed 2026-08-03T14:51:54.808497Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 88020336-6963-4cfd-8607-a18bdde8498e · outbound

This paper cites Second order rectifiability of integral varifolds of locally bounded first variation.J.

The space-time-Grassmann measure of the Brakke flow Second order rectifiability of integral varifolds of locally bounded first variation.J

Reference 10

Resolution: unresolved; no resolver link, observed 2026-08-03T14:51:54.812551Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 2544962e-5747-471b-a276-10296cda200e · outbound

This paper cites Weakly differentiable functions on varifolds.Indiana Uni- versity Mathematics Journal, 65(3):977 – 1088, 2016.

The space-time-Grassmann measure of the Brakke flow Weakly differentiable functions on varifolds.Indiana Uni- versity Mathematics Journal, 65(3):977 – 1088, 2016

Reference 11

Resolution: unresolved; no resolver link, observed 2026-08-03T14:51:54.816438Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 1e262288-d327-40ca-9b5d-12e941c6a697 · outbound

This paper cites An isoperimetric inequality for dif- fused surfaces.Kodai Mathematical Journal, 41(1):70 – 85, 2018.

The space-time-Grassmann measure of the Brakke flow An isoperimetric inequality for dif- fused surfaces.Kodai Mathematical Journal, 41(1):70 – 85, 2018

Reference 12

Resolution: unresolved; no resolver link, observed 2026-08-03T14:51:54.820295Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 189eb47c-c3e7-4470-90d5-fd92d0fc89cc · outbound

This paper cites A priori bounds for geodesic diam- eter.

The space-time-Grassmann measure of the Brakke flow A priori bounds for geodesic diam- eter

Reference 13

Resolution: unresolved; no resolver link, observed 2026-08-03T14:51:54.824150Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation d2b950eb-2188-4cde-8d50-72b1c5924db0 · outbound

This paper cites Tonegawa.Brakke’s Mean Curvature Flow: An Introduction.

The space-time-Grassmann measure of the Brakke flow Tonegawa.Brakke’s Mean Curvature Flow: An Introduction

Reference 14

Resolution: unresolved; no resolver link, observed 2026-08-03T14:51:54.827879Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation c224f53b-6681-43c1-9b6b-47963e9d5a20 · outbound

This paper cites an unresolved cited work.

The space-time-Grassmann measure of the Brakke flow Unresolved cited work

Reference 153

Resolution: unresolved; no resolver link, observed 2026-08-03T14:51:54.797422Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Pith citing papers

Observation b1c2903f-a54a-45a3-8675-f500fcdcd133 · inbound

Parabolic rectifiability of the Brakke flow cites this paper.

Parabolic rectifiability of the Brakke flow The space-time-Grassmann measure of the Brakke flow

Reference 10

Resolution: verified exact; local_arxiv, observed 2026-07-04T09:19:44.148528Z

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.