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Paper Citation Record · LEDGER

Brakke inequality and the existence of Brakke-flow for volume preserving mean curvature flow

As of 8 August 2026, this Paper Citation Record lists 28 of 28 outbound references and 0 inbound Pith citation observations for arXiv:2505.23222.

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

pith.paper-citation-record.v1
2505.23222 v2

Coverage vector

measured 28 of 28 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-07T13:01:25.204129Z

measured 28 of 28 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 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

28 of 28 outbound references displayed

  • verified exact1
  • verified fuzzy14
  • unresolved13
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 0005a01a-1fcf-4dfd-b355-2e0515cb75a5 · outbound

This paper cites Almgren, J.

Brakke inequality and the existence of Brakke-flow for volume preserving mean curvature flow Almgren, J

Reference 1

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T13:01:30.100738Z

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.

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Observation d681d21c-661a-4056-a33b-e4067f30400b · outbound

This paper cites Ambrosio, N.

Brakke inequality and the existence of Brakke-flow for volume preserving mean curvature flow Ambrosio, N

Reference 2

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T13:01:29.938863Z

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.

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Observation 6de002fe-c998-4b1e-bce2-5e9f6ace5655 · outbound

This paper cites Asymptotic behavior of a diffused interface volume-preserving mean curvature flow.

Brakke inequality and the existence of Brakke-flow for volume preserving mean curvature flow Asymptotic behavior of a diffused interface volume-preserving mean curvature flow

Reference 3

Resolution
unresolved
no resolver link, observed 2026-08-07T13:01:22.894062Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

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Observation e6ba79ab-078a-4f5e-8c61-0ee60dd3a9ad · outbound

This paper cites an unresolved cited work.

Brakke inequality and the existence of Brakke-flow for volume preserving mean curvature flow Unresolved cited work

Reference 4

Resolution
unresolved
raw_fallback, observed 2026-08-07T13:01:29.663991Z

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.

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Observation 14c38276-bc33-478f-ad67-47c84a662dab · outbound

This paper cites an unresolved cited work.

Brakke inequality and the existence of Brakke-flow for volume preserving mean curvature flow Unresolved cited work

Reference 5

Resolution
unresolved
raw_fallback, observed 2026-08-07T13:01:29.404622Z

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.

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Observation 77ceb9f8-7d81-473c-bddd-2ad0c2be7848 · outbound

This paper cites Escher, G.

Brakke inequality and the existence of Brakke-flow for volume preserving mean curvature flow Escher, G

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T13:01:29.169278Z

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.

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Observation ee57eb51-6cdb-4e07-ac33-00fce140273b · outbound

This paper cites The local structure of the energy landscape in multiphase mean curvature flow: Weak-strong uniqueness and stability of evolutions.

Brakke inequality and the existence of Brakke-flow for volume preserving mean curvature flow The local structure of the energy landscape in multiphase mean curvature flow: Weak-strong uniqueness and stability of evolutions

Reference 7

Resolution
verified exact
local_arxiv, observed 2026-08-07T13:01:25.342672Z

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=2026-08-07T13:01:23.367062Z digest=sha256:04b72764266d1c868b590b8d7c4c3acd20f71bad2d0eb2603f634880fa4c5d25

Observation dcd1fc68-f100-4abe-ab0d-c6893d39d0bc · outbound

This paper cites an unresolved cited work.

Brakke inequality and the existence of Brakke-flow for volume preserving mean curvature flow Unresolved cited work

Reference 8

Resolution
unresolved
raw_fallback, observed 2026-08-07T13:01:28.901693Z

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=2026-08-07T13:01:23.452514Z digest=sha256:8959cd6d9a923826a318755e8581e134fb670b76963de78d33b37360cfb7c38b

Observation 0a3b0459-45bd-4509-9072-d751480916c4 · outbound

This paper cites Golovaty.

Brakke inequality and the existence of Brakke-flow for volume preserving mean curvature flow Golovaty

Reference 9

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T13:01:28.688245Z

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.

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Observation e4bd6383-6005-4e07-95b7-0caf656dd5c6 · outbound

This paper cites an unresolved cited work.

Brakke inequality and the existence of Brakke-flow for volume preserving mean curvature flow Unresolved cited work

Reference 10

Resolution
unresolved
raw_fallback, observed 2026-08-07T13:01:28.518887Z

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.

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Observation 0ce57af0-5d93-4d8f-bb24-4458b098b544 · outbound

This paper cites an unresolved cited work.

Brakke inequality and the existence of Brakke-flow for volume preserving mean curvature flow Unresolved cited work

Reference 11

Resolution
unresolved
raw_fallback, observed 2026-08-07T13:01:28.370681Z

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.

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Observation 98b48bed-b8fd-4deb-94f4-5ff0a010fc53 · outbound

This paper cites Julin, J.

Brakke inequality and the existence of Brakke-flow for volume preserving mean curvature flow Julin, J

Reference 12

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T13:01:28.232815Z

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.

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Observation 3623b79e-ad37-4d28-bc81-6bc919418a17 · outbound

This paper cites Kasai, Y.

Brakke inequality and the existence of Brakke-flow for volume preserving mean curvature flow Kasai, Y

Reference 13

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T13:01:28.060494Z

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.

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Observation 5e7a3dc3-0280-46a3-92f1-9ee2716e093d · outbound

This paper cites an unresolved cited work.

Brakke inequality and the existence of Brakke-flow for volume preserving mean curvature flow Unresolved cited work

Reference 14

Resolution
unresolved
raw_fallback, observed 2026-08-07T13:01:27.887786Z

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.

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Observation 5fdb94d2-6443-4f84-9825-67117f897473 · outbound

This paper cites Lambert, E.

Brakke inequality and the existence of Brakke-flow for volume preserving mean curvature flow Lambert, E

Reference 15

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T13:01:27.723130Z

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.

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Observation 938a541a-6929-4092-a9b4-c715269f3df9 · outbound

This paper cites an unresolved cited work.

Brakke inequality and the existence of Brakke-flow for volume preserving mean curvature flow Unresolved cited work

Reference 16

Resolution
unresolved
raw_fallback, observed 2026-08-07T13:01:27.546547Z

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.

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Observation bb123663-2ac6-414a-af4b-79a4eb673835 · outbound

This paper cites an unresolved cited work.

Brakke inequality and the existence of Brakke-flow for volume preserving mean curvature flow Unresolved cited work

Reference 17

Resolution
unresolved
raw_fallback, observed 2026-08-07T13:01:27.381353Z

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.

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Observation 567c1732-cb53-4604-b419-620f50ede8bb · outbound

This paper cites an unresolved cited work.

Brakke inequality and the existence of Brakke-flow for volume preserving mean curvature flow Unresolved cited work

Reference 18

Resolution
unresolved
raw_fallback, observed 2026-08-07T13:01:27.223909Z

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.

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Observation 4930a226-e16a-4856-95cb-f2676aabf61d · outbound

This paper cites an unresolved cited work.

Brakke inequality and the existence of Brakke-flow for volume preserving mean curvature flow Unresolved cited work

Reference 19

Resolution
unresolved
raw_fallback, observed 2026-08-07T13:01:27.023560Z

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=2026-08-07T13:01:24.423765Z digest=sha256:78ec3ccb01cb363bd922e0eeacb540438c672c3c4526e479a8d274d584b89795

Observation 6c3ae5a9-71e9-41c7-beae-dad5e4a41879 · outbound

This paper cites Luckhaus, T.

Brakke inequality and the existence of Brakke-flow for volume preserving mean curvature flow Luckhaus, T

Reference 20

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T13:01:26.840286Z

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.

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Observation 3bee1d50-8a96-4bfc-ac40-dd9d141e9c93 · outbound

This paper cites Mugnai, M.

Brakke inequality and the existence of Brakke-flow for volume preserving mean curvature flow Mugnai, M

Reference 21

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T13:01:26.699017Z

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.

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Observation 5e25c226-b956-4a0f-b202-32f2351002b5 · outbound

This paper cites Mugnai, C.

Brakke inequality and the existence of Brakke-flow for volume preserving mean curvature flow Mugnai, C

Reference 22

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T13:01:26.512596Z

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.

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Observation 1b395b71-d211-43d2-9535-9ccb9e00570a · outbound

This paper cites an unresolved cited work.

Brakke inequality and the existence of Brakke-flow for volume preserving mean curvature flow Unresolved cited work

Reference 23

Resolution
unresolved
raw_fallback, observed 2026-08-07T13:01:26.316606Z

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.

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Observation b20c58a3-3603-4338-8b4a-efde5a8b73e1 · outbound

This paper cites Stuvard, Y.

Brakke inequality and the existence of Brakke-flow for volume preserving mean curvature flow Stuvard, Y

Reference 24

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T13:01:26.146459Z

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.

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Observation 1c9fac90-8291-4edc-9137-cf44bde6eb15 · outbound

This paper cites an unresolved cited work.

Brakke inequality and the existence of Brakke-flow for volume preserving mean curvature flow Unresolved cited work

Reference 25

Resolution
unresolved
raw_fallback, observed 2026-08-07T13:01:25.939932Z

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=2026-08-07T13:01:24.922324Z digest=sha256:d2dcd0cecf9d4dc701e62a893926dc316a08e19b6354ab13bcd1f04baba11543

Observation c716926e-4d89-4e7c-bc48-27771af94f66 · outbound

This paper cites Takasao, Y.

Brakke inequality and the existence of Brakke-flow for volume preserving mean curvature flow Takasao, Y

Reference 26

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T13:01:25.780133Z

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=2026-08-07T13:01:25.009304Z digest=sha256:1930015dbed176ba3f6c52931f1d780feba4296b6582705c6c1ff43ff4211d56

Observation 0bd719e2-6989-43b3-9205-cd3a0798e91b · outbound

This paper cites Tonegawa.

Brakke inequality and the existence of Brakke-flow for volume preserving mean curvature flow Tonegawa

Reference 27

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T13:01:25.641503Z

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=2026-08-07T13:01:25.083771Z digest=sha256:0d6f089d85a5087688542645a18be407d4936c4d1dda1a2cdd9a08761756dcbd

Observation ac3d0322-5a73-492f-a907-140cddbba6b0 · outbound

This paper cites Tonegawa.Brakke’s mean curvature flow.

Brakke inequality and the existence of Brakke-flow for volume preserving mean curvature flow Tonegawa.Brakke’s mean curvature flow

Reference 28

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T13:01:25.489082Z

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=2026-08-07T13:01:25.204129Z digest=sha256:121fc40fbf6c05f86b6fce1b710aa76e10fd65f51b4fabeb2176d3c2354421b6

Pith citing papers

No inbound Pith citation observations are available.