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Paper Citation Record · LEDGER

Existence of curvature flow with forcing in a critical Sobolev space

As of 22 August 2026, this Paper Citation Record lists 19 of 19 outbound references and 1 inbound Pith citation observation for arXiv:2411.18284.

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

pith.paper-citation-record.v1
2411.18284 v2

Coverage vector

measured 19 of 19 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-12T11:26:01.829643Z

measured 20 of 20 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 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-15T14:45:33.139089Z

measured 0 of 1 external citation measurements

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

Source: pith, observed 2026-08-15T14:45:33.200404Z

Reference resolution

19 of 19 outbound references displayed

  • verified exact0
  • verified fuzzy9
  • unresolved10
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 60bd46d3-5de8-4373-908b-1a0cca1939e3 · outbound

This paper cites an unresolved cited work.

Existence of curvature flow with forcing in a critical Sobolev space Unresolved cited work

Reference 1

Resolution
unresolved
no resolver link, observed 2026-08-12T11:26:01.754344Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-12T11:26:01.754344Z digest=sha256:0d8ddc41d1833548799eaf187c0fb88df5c52a405dc53c51d4ade412c9251432

Observation 90b3f2a6-3112-48f6-aa95-d1dcb3b96f39 · outbound

This paper cites an unresolved cited work.

Existence of curvature flow with forcing in a critical Sobolev space Unresolved cited work

Reference 2

Resolution
unresolved
raw_fallback, observed 2026-08-12T11:26:02.063417Z

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.

source=pdf_text observed=2026-08-12T11:26:01.759364Z digest=sha256:50b5a9d4b21b1cd25d5af9533571e0291aade1f271eab27ba670e4ef0eba4450

Observation fefdb463-62b5-414a-b243-b064bef6a193 · outbound

This paper cites an unresolved cited work.

Existence of curvature flow with forcing in a critical Sobolev space Unresolved cited work

Reference 3

Resolution
unresolved
raw_fallback, observed 2026-08-12T11:26:02.051974Z

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.

source=pdf_text observed=2026-08-12T11:26:01.764478Z digest=sha256:ae6f947556035ead7e8cc9aebc2b302d3394323a57c68d10fd41d4480bad9c9c

Observation 8b7e37ab-339d-4b0c-b743-254411e61686 · outbound

This paper cites Caffarelli, R.

Existence of curvature flow with forcing in a critical Sobolev space Caffarelli, R

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T11:26:02.039983Z

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.

source=pdf_text observed=2026-08-12T11:26:01.768369Z digest=sha256:9d80e4deb9754601a3a095bdcc7bbad5b6570f040ccbb8f9e50420213a755156

Observation fecc64cd-351e-4112-8d7c-ec3f9622e11b · outbound

This paper cites an unresolved cited work.

Existence of curvature flow with forcing in a critical Sobolev space Unresolved cited work

Reference 5

Resolution
unresolved
raw_fallback, observed 2026-08-12T11:26:02.025732Z

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.

source=pdf_text observed=2026-08-12T11:26:01.772602Z digest=sha256:d7d0a2d78496e375343ad0c33d623235d12ff6494b0688408e99fa695058bc74

Observation c0aa202a-cc00-4e07-a8b5-adfbac0c329e · outbound

This paper cites an unresolved cited work.

Existence of curvature flow with forcing in a critical Sobolev space Unresolved cited work

Reference 6

Resolution
unresolved
raw_fallback, observed 2026-08-12T11:26:02.014166Z

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.

source=pdf_text observed=2026-08-12T11:26:01.777361Z digest=sha256:b087b0564fca672778a2893b26907e9917a0906425826a132a1ed839f6652635

Observation 7c662a33-71a1-476e-b20a-e4c3e87d9311 · outbound

This paper cites Kasai and Y.

Existence of curvature flow with forcing in a critical Sobolev space Kasai and Y

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T11:26:02.003498Z

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.

source=pdf_text observed=2026-08-12T11:26:01.781709Z digest=sha256:6218a1766d284c1d363fee62cf45668ba3d6c08b0b79594511a60862df8efd95

Observation 6112b0c8-330a-4b05-b6bc-fef2b96fd916 · outbound

This paper cites Kim and Y.

Existence of curvature flow with forcing in a critical Sobolev space Kim and Y

Reference 8

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T11:26:01.993225Z

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.

source=pdf_text observed=2026-08-12T11:26:01.786255Z digest=sha256:9af5a7769ef4493a86f0245a587b03bcdcc3a83e5146b1c3f1986c05520b4a06

Observation fafc02d6-7137-4e84-b03b-663167611c6f · outbound

This paper cites Kim and Y.

Existence of curvature flow with forcing in a critical Sobolev space Kim and Y

Reference 9

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T11:26:01.982656Z

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.

source=pdf_text observed=2026-08-12T11:26:01.790644Z digest=sha256:9643551cf35051bb056ca10d136ec2dbd677ec378dd73379696bfcfd01d59f52

Observation 1ec79867-f340-4998-bfdb-05c564f2b923 · outbound

This paper cites an unresolved cited work.

Existence of curvature flow with forcing in a critical Sobolev space Unresolved cited work

Reference 10

Resolution
unresolved
raw_fallback, observed 2026-08-12T11:26:01.971856Z

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.

source=pdf_text observed=2026-08-12T11:26:01.795073Z digest=sha256:2dfc0fb8160353de3fc70916ee268b18cf0565acb434f30152ace5861395db30

Observation 4882d691-0085-4886-a189-77ad37cb227f · outbound

This paper cites an unresolved cited work.

Existence of curvature flow with forcing in a critical Sobolev space Unresolved cited work

Reference 11

Resolution
unresolved
raw_fallback, observed 2026-08-12T11:26:01.960067Z

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.

source=pdf_text observed=2026-08-12T11:26:01.798976Z digest=sha256:48904b618a440997489ae086463c85aa406c255666b22f08c88a21658f654721

Observation 31af080c-ea9d-4cfa-802f-3082308371ae · outbound

This paper cites an unresolved cited work.

Existence of curvature flow with forcing in a critical Sobolev space Unresolved cited work

Reference 12

Resolution
unresolved
raw_fallback, observed 2026-08-12T11:26:01.948218Z

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.

source=pdf_text observed=2026-08-12T11:26:01.803563Z digest=sha256:4b7f43afa634d199589840bf5f72f704a1d939d5422138e9084212dc4eed373f

Observation 0887218e-1433-44b0-afc6-fa38d129380b · outbound

This paper cites an unresolved cited work.

Existence of curvature flow with forcing in a critical Sobolev space Unresolved cited work

Reference 13

Resolution
unresolved
raw_fallback, observed 2026-08-12T11:26:01.936843Z

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.

source=pdf_text observed=2026-08-12T11:26:01.807595Z digest=sha256:aa2d49173581313a6ff39cfc8d345733ba88ae0277881cc4c965a005000277b3

Observation a6ec2011-2bf0-463e-b3c4-c0c6b7a02e7c · outbound

This paper cites Pozzetta.

Existence of curvature flow with forcing in a critical Sobolev space Pozzetta

Reference 14

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T11:26:01.924668Z

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.

source=pdf_text observed=2026-08-12T11:26:01.811239Z digest=sha256:d58eb8ea6342023e4a57c585c4e9d03e7369d3297aa3e9fbd6f00ab0fa3adefb

Observation 27489f38-301d-4a47-90a5-5b45b14005ac · outbound

This paper cites an unresolved cited work.

Existence of curvature flow with forcing in a critical Sobolev space Unresolved cited work

Reference 15

Resolution
unresolved
raw_fallback, observed 2026-08-12T11:26:01.910925Z

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.

source=pdf_text observed=2026-08-12T11:26:01.814922Z digest=sha256:80b31f0f280ff2f10f6eae620164a25647ede78bf6751ef6044cca70b75fadb1

Observation 8521cd2b-45d4-49aa-88bf-7bd66f30aa4b · outbound

This paper cites Stuvard and Y.

Existence of curvature flow with forcing in a critical Sobolev space Stuvard and Y

Reference 16

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T11:26:01.898427Z

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.

source=pdf_text observed=2026-08-12T11:26:01.818509Z digest=sha256:399c70b6e289da51c3f8be52e90ccfb8f29d2ec052c33514f7013679410f7ad3

Observation a59a5d68-695e-4025-8ab9-bb5245e165e7 · outbound

This paper cites Stuvard and Y.

Existence of curvature flow with forcing in a critical Sobolev space Stuvard and Y

Reference 17

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T11:26:01.885387Z

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.

source=pdf_text observed=2026-08-12T11:26:01.821944Z digest=sha256:97eedb8076b8d06b574781958c921055f1d3ef81c3ba50f9c241878c8ccb2f57

Observation 618f38c1-ee67-4bd2-ba8c-25fd02d11f26 · outbound

This paper cites Takasao and Y.

Existence of curvature flow with forcing in a critical Sobolev space Takasao and Y

Reference 18

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T11:26:01.873912Z

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.

source=pdf_text observed=2026-08-12T11:26:01.825749Z digest=sha256:e1170c764d688f1dac838dc5b308cb5b18d4b5e6081997a65b1439934ca134fc

Observation 9722f342-c31b-47f0-944d-e2c5d109bb70 · outbound

This paper cites Tonegawa.

Existence of curvature flow with forcing in a critical Sobolev space Tonegawa

Reference 19

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T11:26:01.862573Z

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.

source=pdf_text observed=2026-08-12T11:26:01.829643Z digest=sha256:662edd68cc395fde97c98d2fa06db55f3b8c556f3ffdd278f7bec91ec81228c1

Pith citing papers

Observation 349cf528-eb5b-43a9-b5e8-5f65d744c167 · inbound

A note on generalized BV mean curvature flow with a critical forcing term cites this paper.

A note on generalized BV mean curvature flow with a critical forcing term Existence of curvature flow with forcing in a critical Sobolev space

Reference 10

Resolution
verified exact
local_arxiv, observed 2026-08-15T14:45:33.205669Z

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.

source=arxiv_source observed=2026-08-15T14:45:33.139089Z digest=sha256:946d1283b5b46d15f3374d6e5ef0f9ea0cb8a746b3e0ca16a47bac7438e2af8f