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Paper Citation Record · LEDGER

On the Multiplicity One Conjecture for Mean Curvature Flows of surfaces

As of 19 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 12 inbound Pith citation observations for arXiv:2312.02106.

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

pith.paper-citation-record.v1
2312.02106 v3

Coverage vector

measured 0 of 0 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links

measured 12 of 12 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-18T06:34:40.430872+00:00

measured 12 of 12 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-15T21:06:00.592526Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-07-03T19:18:54.755791Z

Reference resolution

0 of 0 outbound references displayed

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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 90da892f-e7c1-4e42-ac32-cd552bdf5751 · inbound

Classification of ancient noncollapsed flows in $\mathbb{R}^4$ cites this paper.

Classification of ancient noncollapsed flows in $\mathbb{R}^4$ On the Multiplicity One Conjecture for Mean Curvature Flows of surfaces

Reference 12

Resolution
unresolved
no resolver link, observed 2026-08-11T15:56:41.464417Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-11T15:56:41.464417Z digest=sha256:99a3501012f0e8e51c95cc12b4c2e207dfeefb400e74e17308f90279ffb8c8bf

Observation ee36b894-2c33-47bb-b7a3-087251a0c0aa · inbound

Singularities of mean curvature flow with bounded mean curvature and Morse index cites this paper.

Singularities of mean curvature flow with bounded mean curvature and Morse index On the Multiplicity One Conjecture for Mean Curvature Flows of surfaces

Reference 5

Resolution
unresolved
no resolver link, observed 2026-08-10T21:35:04.317152Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-10T21:35:04.317152Z digest=sha256:c8e1b91044ee2d067b4e401b2dda629a970a32ca7949cb968705ffa08a0e2b13

Observation 80901fd2-9196-40ec-97ec-840fb19324fe · inbound

Passing through nondegenerate singularities in mean curvature flows cites this paper.

Passing through nondegenerate singularities in mean curvature flows On the Multiplicity One Conjecture for Mean Curvature Flows of surfaces

Reference 15

Resolution
unresolved
no resolver link, observed 2026-08-10T11:34:57.668639Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-10T11:34:57.668639Z digest=sha256:5933d2748173e591d6c2a1a00aca48bd669314754703ff398f7d7bedbe2f5fcf

Observation dd05bf11-d30a-430d-b716-35972d0598f7 · inbound

An Intersection Principle for Mean Curvature Flow cites this paper.

An Intersection Principle for Mean Curvature Flow On the Multiplicity One Conjecture for Mean Curvature Flows of surfaces

Reference 3

Resolution
unresolved
no resolver link, observed 2026-08-15T21:06:00.592526Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-15T21:06:00.592526Z digest=sha256:187131f7ae023364f638651bcd4a55af4a5752d173160c30ec5026e670d8f740

Observation 66fc8fc3-295c-4d7d-af66-dfe64cab13b6 · inbound

When can minimal hypersurfaces be connected by mean curvature flow? cites this paper.

When can minimal hypersurfaces be connected by mean curvature flow? On the Multiplicity One Conjecture for Mean Curvature Flows of surfaces

Reference 1

Resolution
unresolved
no resolver link, observed 2026-08-06T20:16:24.433742Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-06T20:16:24.433742Z digest=sha256:10b3fe2b8d739312df7512673b87cd027c731c4b3ef917969a7b021fcf303cbc

Observation ecfd81e1-ca61-49d7-9a59-95c80a5bb80d · inbound

Self-expanders of positive genus cites this paper.

Self-expanders of positive genus On the Multiplicity One Conjecture for Mean Curvature Flows of surfaces

Reference 3

Resolution
unresolved
no resolver link, observed 2026-08-15T18:05:03.336026Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-15T18:05:03.336026Z digest=sha256:2e9e0a2a4c8320f819dae09a9edafdcad2dd3adad4f7caa4c287126842f1dc9d

Observation 7277ee36-8859-4643-a14d-91977d51d340 · inbound

Regularity of cylindrical singular sets of mean curvature flow cites this paper.

Regularity of cylindrical singular sets of mean curvature flow On the Multiplicity One Conjecture for Mean Curvature Flows of surfaces

Reference 6

Resolution
unresolved
no resolver link, observed 2026-08-05T12:24:44.989382Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-05T12:24:44.989382Z digest=sha256:dc2a0c1fc5610e7ac40ef0a076c356a89fb527f36d0b13d365159fe9f2cbab40

Observation 62fd63ce-41e1-48f0-80f9-4cb368a25856 · inbound

The linearized translator equation and applications cites this paper.

The linearized translator equation and applications On the Multiplicity One Conjecture for Mean Curvature Flows of surfaces

Reference 8

Resolution
unresolved
no resolver link, observed 2026-08-15T16:23:03.171983Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-15T16:23:03.171983Z digest=sha256:9d5f1a107dd3d26f9bbecc6b6a96290e4144104a41220c326dc626988bbab300

Observation 24be81f7-8f81-45f9-b58f-ab0a73735b67 · inbound

An Ancient Stacked Pancake Solution to Mean Curvature Flow cites this paper.

An Ancient Stacked Pancake Solution to Mean Curvature Flow On the Multiplicity One Conjecture for Mean Curvature Flows of surfaces

Reference 2

Resolution
unresolved
no resolver link, observed 2026-08-04T13:37:42.070532Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-04T13:37:42.070532Z digest=sha256:59e8b1f480e3690bba598ef6b3ef2b581f4df5512e32efb2a6f905accaa87275

Observation e260fc0e-7c18-47d3-a266-71bde2f072bc · inbound

Mean convex flows with surgery cites this paper.

Mean convex flows with surgery On the Multiplicity One Conjecture for Mean Curvature Flows of surfaces

Reference 2

Resolution
verified exact
arxiv_id, observed 2026-07-01T21:26:16.490186Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-06-28T16:53:37.363763Z digest=sha256:2fdb389ff5b77f7558f1d81bb467eca611a98cf691363131c15cb03f4d32c449

Observation 91903deb-0286-4e43-8a58-3f5c9602835b · inbound

Free boundary flow through cylindrical singularities cites this paper.

Free boundary flow through cylindrical singularities On the Multiplicity One Conjecture for Mean Curvature Flows of surfaces

Reference 4

Resolution
verified exact
arxiv_id, observed 2026-07-03T19:18:54.757212Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-06-27T01:57:01.968206Z digest=sha256:c0c5c3935e4097c0b718fbee6ffc898d030cda9c4d60be732d5067c41ea31684

Observation 22cb863e-9566-4af0-a047-9ea30419b9a0 · inbound

Min-Max Construction of Anisotropic Minimal Surfaces with Genus Bound cites this paper.

Min-Max Construction of Anisotropic Minimal Surfaces with Genus Bound On the Multiplicity One Conjecture for Mean Curvature Flows of surfaces

Reference 7

Resolution
metadata mismatch
arxiv_id, observed 2026-06-30T14:44:45.816874Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-06-30T05:19:44.261334Z digest=sha256:b2ead3589d77c44458ad8ba4311d902ca3d4ee51e3cb819c11b88653fa3e77fa