Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-15T18:14:18.370410Z
Paper Citation Record · LEDGER
Self-shrinkers with any number of ends in $\mathbb{R}^{3}$ by stacking $\mathbb{R}^{2}$
As of 22 August 2026, this Paper Citation Record lists 30 of 30 outbound references and 1 inbound Pith citation observation for arXiv:2507.18825.
A citation records a reference. It does not transfer a finding from one paper to another.
Coverage vector
One-hop event checks from named stored sources.
Source: scholarly_work_events, retraction_status_cache, observed 2026-08-22T06:32:14.747728+00:00
Pith citing papers itemized under the disclosed page cap.
Source: paper_references, paper_reference_links, observed 2026-08-15T18:05:03.500993Z
A source-named dated measurement, never combined with another source.
Source: pith, observed 2026-08-15T18:05:03.555182Z
Reference resolution
30 of 30 outbound references displayed
- verified exact1
- verified fuzzy13
- unresolved16
- parse uncertain0
- malformed identifier0
- metadata mismatch0
External citation measurements
No source-named external measurement is stored.
Outbound references
Observation aa95592c-9051-40f0-a7fa-d6ccb9b739ce · outbound
This paper cites Angenent,Shrinking doughnuts, Nonlinear diffusion equations and their equilibrium states, 3 (Greg- ynog, 1989), 1992, pp.
Self-shrinkers with any number of ends in $\mathbb{R}^{3}$ by stacking $\mathbb{R}^{2}$ Angenent,Shrinking doughnuts, Nonlinear diffusion equations and their equilibrium states, 3 (Greg- ynog, 1989), 1992, pp
Reference 1
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-15T18:14:18.849105Z
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.
Observation dec83c48-68ce-423b-8f1a-7b89ea02a34f · outbound
This paper cites Schulz,Noncompact self-shrinkers for mean curvature flow with arbitrary genus, J.
Self-shrinkers with any number of ends in $\mathbb{R}^{3}$ by stacking $\mathbb{R}^{2}$ Schulz,Noncompact self-shrinkers for mean curvature flow with arbitrary genus, J
Reference 2
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-15T18:14:18.838410Z
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.
Observation ab4fee94-1695-41eb-a590-bcf5193884d8 · outbound
This paper cites Disc stackings and their Morse index.
Self-shrinkers with any number of ends in $\mathbb{R}^{3}$ by stacking $\mathbb{R}^{2}$ Disc stackings and their Morse index
Reference 3
- Resolution
- unresolved
- no resolver link, observed 2026-08-15T18:14:18.268978Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 5e960c5d-2714-4e75-8274-a058c7ea5604 · outbound
This paper cites an unresolved cited work.
Self-shrinkers with any number of ends in $\mathbb{R}^{3}$ by stacking $\mathbb{R}^{2}$ Unresolved cited work
Reference 4
- Resolution
- unresolved
- raw_fallback, observed 2026-08-15T18:14:18.826369Z
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.
Observation 5a046dae-65e0-46c2-a40f-ab07bddae7fe · outbound
This paper cites J.170 (2021), no.
Self-shrinkers with any number of ends in $\mathbb{R}^{3}$ by stacking $\mathbb{R}^{2}$ J.170 (2021), no
Reference 5
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-15T18:14:18.812928Z
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.
Observation 893d8b55-a966-4615-b80a-70b0f9866204 · outbound
This paper cites an unresolved cited work.
Self-shrinkers with any number of ends in $\mathbb{R}^{3}$ by stacking $\mathbb{R}^{2}$ Unresolved cited work
Reference 6
- Resolution
- unresolved
- no resolver link, observed 2026-08-15T18:14:18.281238Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 4a26ad60-4911-45b6-a755-c713ce4e24d1 · outbound
This paper cites 154 (2017), no.
Self-shrinkers with any number of ends in $\mathbb{R}^{3}$ by stacking $\mathbb{R}^{2}$ 154 (2017), no
Reference 7
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-15T18:14:18.792416Z
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.
Observation e30e125b-4a9a-4837-957f-5ac9739286f3 · outbound
This paper cites Trudinger,Elliptic partial differential equations of second order, Classics in Mathe- matics, Springer-Verlag, Berlin, 2001.
Self-shrinkers with any number of ends in $\mathbb{R}^{3}$ by stacking $\mathbb{R}^{2}$ Trudinger,Elliptic partial differential equations of second order, Classics in Mathe- matics, Springer-Verlag, Berlin, 2001
Reference 8
- Resolution
- unresolved
- no resolver link, observed 2026-08-15T18:14:18.289304Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 1f2261fa-01d7-48ff-9289-30742dcc3bb9 · outbound
This paper cites an unresolved cited work.
Self-shrinkers with any number of ends in $\mathbb{R}^{3}$ by stacking $\mathbb{R}^{2}$ Unresolved cited work
Reference 9
- Resolution
- unresolved
- no resolver link, observed 2026-08-15T18:14:18.293401Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 575af2f5-3989-410c-910b-cfe10d1e8956 · outbound
This paper cites an unresolved cited work.
Self-shrinkers with any number of ends in $\mathbb{R}^{3}$ by stacking $\mathbb{R}^{2}$ Unresolved cited work
Reference 10
- Resolution
- unresolved
- raw_fallback, observed 2026-08-15T18:14:18.773142Z
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.
Observation 3b26b026-a841-4023-946e-f0a14a665187 · outbound
This paper cites Differential Geom.
Self-shrinkers with any number of ends in $\mathbb{R}^{3}$ by stacking $\mathbb{R}^{2}$ Differential Geom
Reference 11
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-15T18:14:18.762092Z
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.
Observation ca6b72cf-5eef-43c2-a854-4cb56ccf2f68 · outbound
This paper cites Reine Angew.
Self-shrinkers with any number of ends in $\mathbb{R}^{3}$ by stacking $\mathbb{R}^{2}$ Reine Angew
Reference 12
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-15T18:14:18.751486Z
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.
Observation a344d9a3-541d-46c9-ae9c-f34f0b619364 · outbound
This paper cites Pure Appl.
Self-shrinkers with any number of ends in $\mathbb{R}^{3}$ by stacking $\mathbb{R}^{2}$ Pure Appl
Reference 13
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-15T18:14:18.740119Z
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.
Observation f2bc4d96-3a1a-4224-b35e-12fd768a9798 · outbound
This paper cites an unresolved cited work.
Self-shrinkers with any number of ends in $\mathbb{R}^{3}$ by stacking $\mathbb{R}^{2}$ Unresolved cited work
Reference 14
- Resolution
- unresolved
- raw_fallback, observed 2026-08-15T18:14:18.727918Z
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.
Observation f289a953-f524-4820-87ea-3642df312d38 · outbound
This paper cites Differential Geom.123 (2023), no.
Self-shrinkers with any number of ends in $\mathbb{R}^{3}$ by stacking $\mathbb{R}^{2}$ Differential Geom.123 (2023), no
Reference 15
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-15T18:14:18.714831Z
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.
Observation 0b93f7d2-10bc-430c-b1f0-061e0e6eeca8 · outbound
This paper cites an unresolved cited work.
Self-shrinkers with any number of ends in $\mathbb{R}^{3}$ by stacking $\mathbb{R}^{2}$ Unresolved cited work
Reference 16
- Resolution
- unresolved
- raw_fallback, observed 2026-08-15T18:14:18.702160Z
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.
Observation 597fdb2d-07f1-429c-a6e6-3f11c0a5ccc9 · outbound
This paper cites Minimal hypersurfaces in $\mathbb{S}^{4}(1)$ by doubling the equatorial $\mathbb{S}^{3}$.
Self-shrinkers with any number of ends in $\mathbb{R}^{3}$ by stacking $\mathbb{R}^{2}$ Minimal hypersurfaces in $\mathbb{S}^{4}(1)$ by doubling the equatorial $\mathbb{S}^{3}$
Reference 17
- Resolution
- unresolved
- no resolver link, observed 2026-08-15T18:14:18.324983Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation ee2d0649-a963-4c2e-aa4f-da66343f2a17 · outbound
This paper cites Self-shrinking Platonic solids.
Self-shrinkers with any number of ends in $\mathbb{R}^{3}$ by stacking $\mathbb{R}^{2}$ Self-shrinking Platonic solids
Reference 18
- Resolution
- verified exact
- local_arxiv, observed 2026-08-15T18:14:18.432758Z
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.
Observation d4b315db-696f-4f16-a121-138cb394d689 · outbound
This paper cites Self-shrinkers whose asymptotic cones fatten.
Self-shrinkers with any number of ends in $\mathbb{R}^{3}$ by stacking $\mathbb{R}^{2}$ Self-shrinkers whose asymptotic cones fatten
Reference 19
- Resolution
- unresolved
- no resolver link, observed 2026-08-15T18:14:18.331860Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation fdc187c6-0400-4917-8152-56811a1855f2 · outbound
This paper cites an unresolved cited work.
Self-shrinkers with any number of ends in $\mathbb{R}^{3}$ by stacking $\mathbb{R}^{2}$ Unresolved cited work
Reference 20
- Resolution
- unresolved
- raw_fallback, observed 2026-08-15T18:14:18.691452Z
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.
Observation 93f17d08-3ef6-4864-9527-e8b71d974658 · outbound
This paper cites Closed mean curvature flows with asymptotically conical singularities.
Self-shrinkers with any number of ends in $\mathbb{R}^{3}$ by stacking $\mathbb{R}^{2}$ Closed mean curvature flows with asymptotically conical singularities
Reference 21
- Resolution
- unresolved
- no resolver link, observed 2026-08-15T18:14:18.338927Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 3f46aaca-1438-453c-ad6b-324d9e35ad49 · outbound
This paper cites 6, 065215.
Self-shrinkers with any number of ends in $\mathbb{R}^{3}$ by stacking $\mathbb{R}^{2}$ 6, 065215
Reference 22
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-15T18:14:18.680273Z
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.
Observation eebb5b5c-5912-4192-8090-d6661a89ca69 · outbound
This paper cites I, Trans.
Self-shrinkers with any number of ends in $\mathbb{R}^{3}$ by stacking $\mathbb{R}^{2}$ I, Trans
Reference 23
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-15T18:14:18.669173Z
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.
Observation 319dc4b5-6360-4fd8-9d41-cdbf0b5aa421 · outbound
This paper cites an unresolved cited work.
Self-shrinkers with any number of ends in $\mathbb{R}^{3}$ by stacking $\mathbb{R}^{2}$ Unresolved cited work
Reference 24
- Resolution
- unresolved
- raw_fallback, observed 2026-08-15T18:14:18.657478Z
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.
Observation 759d524f-24da-404c-9a03-b7f9528f347c · outbound
This paper cites an unresolved cited work.
Self-shrinkers with any number of ends in $\mathbb{R}^{3}$ by stacking $\mathbb{R}^{2}$ Unresolved cited work
Reference 25
- Resolution
- unresolved
- raw_fallback, observed 2026-08-15T18:14:18.644944Z
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.
Observation f859746e-8f59-4c2c-ba58-f64446039e6a · outbound
This paper cites Linear Algebra Appl.20 (2013), no.
Self-shrinkers with any number of ends in $\mathbb{R}^{3}$ by stacking $\mathbb{R}^{2}$ Linear Algebra Appl.20 (2013), no
Reference 26
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-15T18:14:18.632306Z
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.
Observation db5c6921-82e5-4ae0-a22a-b28da423e2af · outbound
This paper cites an unresolved cited work.
Self-shrinkers with any number of ends in $\mathbb{R}^{3}$ by stacking $\mathbb{R}^{2}$ Unresolved cited work
Reference 27
- Resolution
- unresolved
- raw_fallback, observed 2026-08-15T18:14:18.619984Z
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.
Observation 0bba58c2-4dda-447e-bca2-fa85bac6b672 · outbound
This paper cites an unresolved cited work.
Self-shrinkers with any number of ends in $\mathbb{R}^{3}$ by stacking $\mathbb{R}^{2}$ Unresolved cited work
Reference 28
- Resolution
- unresolved
- raw_fallback, observed 2026-08-15T18:14:18.608201Z
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.
Observation 265874ff-12be-4b28-ac43-e95fdf196f30 · outbound
This paper cites Differential Geom.114 (2020), no.
Self-shrinkers with any number of ends in $\mathbb{R}^{3}$ by stacking $\mathbb{R}^{2}$ Differential Geom.114 (2020), no
Reference 29
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-15T18:14:18.596301Z
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.
Observation b398bc1a-19e9-4f28-810f-eea6d21f3c6a · outbound
This paper cites Thesis, 2023.
Self-shrinkers with any number of ends in $\mathbb{R}^{3}$ by stacking $\mathbb{R}^{2}$ Thesis, 2023
Reference 30
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-15T18:14:18.584217Z
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.
Pith citing papers
Observation 20996227-ffe3-404b-8ab3-f781d24c0fec · inbound
Self-expanders of positive genus cites this paper.
Self-expanders of positive genus Self-shrinkers with any number of ends in $\mathbb{R}^{3}$ by stacking $\mathbb{R}^{2}$
Reference 40
- Resolution
- verified exact
- local_arxiv, observed 2026-08-15T18:05:03.561911Z
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.