Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-15T18:05:03.517893Z
Paper Citation Record · LEDGER
Self-expanders of positive genus
As of 19 August 2026, this Paper Citation Record lists 44 of 44 outbound references and 2 inbound Pith citation observations for arXiv:2507.19428.
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 2026-08-19T06:32:44.657259+00:00
Pith citing papers itemized under the disclosed page cap.
Source: paper_references, paper_reference_links, observed 2026-08-05T13:09:33.419557Z
A source-named dated measurement, never combined with another source.
Source: arxiv_reference, observed 2026-07-02T10:56:52.717819Z
Reference resolution
44 of 44 outbound references displayed
- verified exact2
- verified fuzzy16
- unresolved26
- parse uncertain0
- malformed identifier0
- metadata mismatch0
External citation measurements
No source-named external measurement is stored.
Outbound references
Observation ba2d9fd4-8523-4cbf-90f1-95ef41deef09 · outbound
This paper cites Allard, On the first variation of a varifold , Ann.
Self-expanders of positive genus Allard, On the first variation of a varifold , Ann
Reference 1
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-15T18:05:04.219634Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation 3cd2c98d-7230-481b-b113-b2aae96ef3a5 · outbound
This paper cites Angenent, T.
Self-expanders of positive genus Angenent, T
Reference 2
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-15T18:05:04.206887Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation ecfd81e1-ca61-49d7-9a59-95c80a5bb80d · outbound
This paper cites On the Multiplicity One Conjecture for Mean Curvature Flows of surfaces.
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.
Observation 2f6704a4-b74b-45f6-a5ad-c8da5e507238 · outbound
This paper cites Existence of monotone Morse flow lines of the expander functional.
Self-expanders of positive genus Existence of monotone Morse flow lines of the expander functional
Reference 4
- Resolution
- unresolved
- no resolver link, observed 2026-08-15T18:05:03.342235Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 866496b7-f5ee-4b9e-a3dc-b676accb3bfc · outbound
This paper cites an unresolved cited work.
Self-expanders of positive genus Unresolved cited work
Reference 5
- Resolution
- unresolved
- raw_fallback, observed 2026-08-15T18:05:04.190625Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation f95d45e6-154a-4d84-a8bb-482ec0b05547 · outbound
This paper cites an unresolved cited work.
Self-expanders of positive genus Unresolved cited work
Reference 6
- Resolution
- unresolved
- raw_fallback, observed 2026-08-15T18:05:04.175111Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation 28a1498a-f68f-4e45-a283-6d81598fa08e · outbound
This paper cites an unresolved cited work.
Self-expanders of positive genus Unresolved cited work
Reference 7
- Resolution
- unresolved
- raw_fallback, observed 2026-08-15T18:05:04.160942Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation d3465e9d-f34f-4ae9-b0dd-8900bbee8f1d · outbound
This paper cites an unresolved cited work.
Self-expanders of positive genus Unresolved cited work
Reference 8
- Resolution
- unresolved
- raw_fallback, observed 2026-08-15T18:05:04.144962Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation 4a3df882-fdf9-4e9c-9510-eea4ec91c6a0 · outbound
This paper cites an unresolved cited work.
Self-expanders of positive genus Unresolved cited work
Reference 9
- Resolution
- unresolved
- raw_fallback, observed 2026-08-15T18:05:04.132025Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation 81df2e41-7ca4-48c5-a5b4-2038c1e41fec · outbound
This paper cites Brakke, The motion of a surface by its mean curvature, Mathematical Notes, vol.
Self-expanders of positive genus Brakke, The motion of a surface by its mean curvature, Mathematical Notes, vol
Reference 10
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-15T18:05:04.119513Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation b3eb41e1-bb9b-4d87-8f0e-bf7dfaee9528 · outbound
This paper cites an unresolved cited work.
Self-expanders of positive genus Unresolved cited work
Reference 11
- Resolution
- unresolved
- raw_fallback, observed 2026-08-15T18:05:04.106354Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation e7b554f5-9183-4f8e-ba6c-3fffac8d3f62 · outbound
This paper cites Schulz, Noncompact self-shrinkers for mean curvature flow with arbitrary genus, J.
Self-expanders of positive genus Schulz, Noncompact self-shrinkers for mean curvature flow with arbitrary genus, J
Reference 12
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-15T18:05:04.093861Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation 2dd0e600-0897-4602-bf0c-0152ab743709 · outbound
This paper cites Schulz, Free boundary minimal surfaces with connected boundary and arbitrary genus , Camb.
Self-expanders of positive genus Schulz, Free boundary minimal surfaces with connected boundary and arbitrary genus , Camb
Reference 13
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-15T18:05:04.079651Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation 19da53da-f7e7-4709-9839-0cd449861103 · outbound
This paper cites an unresolved cited work.
Self-expanders of positive genus Unresolved cited work
Reference 14
- Resolution
- unresolved
- raw_fallback, observed 2026-08-15T18:05:04.066968Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation d5ba7a98-39c8-4259-8cce-157e88cf6f81 · outbound
This paper cites an unresolved cited work.
Self-expanders of positive genus Unresolved cited work
Reference 15
- Resolution
- unresolved
- raw_fallback, observed 2026-08-15T18:05:04.053242Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation f5f84e26-beb0-4f92-acdd-414731f16e2b · outbound
This paper cites Mean curvature flow with generic initial data II.
Self-expanders of positive genus Mean curvature flow with generic initial data II
Reference 16
- Resolution
- unresolved
- no resolver link, observed 2026-08-15T18:05:03.401655Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 9e2c5c0b-5c5e-4bcc-88da-da5e46762184 · outbound
This paper cites an unresolved cited work.
Self-expanders of positive genus Unresolved cited work
Reference 17
- Resolution
- unresolved
- raw_fallback, observed 2026-08-15T18:05:04.040483Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation c4dfe4f8-5906-4fcf-94e7-14e1681d2d02 · outbound
This paper cites an unresolved cited work.
Self-expanders of positive genus Unresolved cited work
Reference 18
- Resolution
- unresolved
- raw_fallback, observed 2026-08-15T18:05:04.027901Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation 3f80433c-3200-4ade-be9e-5799cc53bb48 · outbound
This paper cites an unresolved cited work.
Self-expanders of positive genus Unresolved cited work
Reference 19
- Resolution
- unresolved
- raw_fallback, observed 2026-08-15T18:05:04.014614Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation ff841687-0a8d-447a-a056-46d965fc954c · outbound
This paper cites Colding and Camillo De Lellis, The min-max construction of minimal surfaces, Sur- veys in differential geometry, Vol.
Self-expanders of positive genus Colding and Camillo De Lellis, The min-max construction of minimal surfaces, Sur- veys in differential geometry, Vol
Reference 20
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-15T18:05:04.000732Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation d66c2b01-e7f1-4737-91e4-18902d146dc3 · outbound
This paper cites Colding and William P.
Self-expanders of positive genus Colding and William P
Reference 21
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-15T18:05:03.987309Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation 360f49da-544f-4192-9cf4-7a5dab49e9ae · outbound
This paper cites Minicozzi II, and Brian White, The round sphere minimizes entropy among closed self-shrinkers, J.
Self-expanders of positive genus Minicozzi II, and Brian White, The round sphere minimizes entropy among closed self-shrinkers, J
Reference 22
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-15T18:05:03.970352Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation 5cbd586e-7343-4f97-a2c8-fd858c163821 · outbound
This paper cites Reine Angew.
Self-expanders of positive genus Reine Angew
Reference 23
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-15T18:05:03.957080Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation 145c83d7-f39c-42f9-a9a9-8eb068a9d825 · outbound
This paper cites an unresolved cited work.
Self-expanders of positive genus Unresolved cited work
Reference 24
- Resolution
- unresolved
- raw_fallback, observed 2026-08-15T18:05:03.942753Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation 4dfb4710-67d1-49d9-a99c-a303cab2f998 · outbound
This paper cites an unresolved cited work.
Self-expanders of positive genus Unresolved cited work
Reference 25
- Resolution
- unresolved
- raw_fallback, observed 2026-08-15T18:05:03.927540Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation 0714db15-fbdc-4784-84ac-deb3d68f246b · outbound
This paper cites an unresolved cited work.
Self-expanders of positive genus Unresolved cited work
Reference 26
- Resolution
- verified exact
- raw_fallback, observed 2026-08-15T18:05:03.695081Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation feb0f4d0-1697-4bd5-aead-56c87c6a8590 · outbound
This paper cites Meeks III, Embedded minimal surfaces of finite topology, Ann.
Self-expanders of positive genus Meeks III, Embedded minimal surfaces of finite topology, Ann
Reference 27
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-15T18:05:03.915705Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation eb3d36c4-3b7a-4d79-864d-a5658fffc2d7 · outbound
This paper cites an unresolved cited work.
Self-expanders of positive genus Unresolved cited work
Reference 28
- Resolution
- unresolved
- raw_fallback, observed 2026-08-15T18:05:03.903882Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation 91748768-fd20-4f1f-9d45-13da8a9b133b · outbound
This paper cites an unresolved cited work.
Self-expanders of positive genus Unresolved cited work
Reference 29
- Resolution
- unresolved
- raw_fallback, observed 2026-08-15T18:05:03.892457Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation 9beb70da-f483-48a7-8808-e17ea0e9002d · outbound
This paper cites Differ- ential Geom.
Self-expanders of positive genus Differ- ential Geom
Reference 30
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-15T18:05:03.880594Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation b99cb1a0-adbf-44f5-90b5-0e1f521f94f7 · outbound
This paper cites Equivariant min-max theory.
Reference 31
- Resolution
- unresolved
- no resolver link, observed 2026-08-15T18:05:03.463691Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation eba37149-b276-40cd-a5da-1084f04d2300 · outbound
This paper cites an unresolved cited work.
Self-expanders of positive genus Unresolved cited work
Reference 32
- Resolution
- unresolved
- raw_fallback, observed 2026-08-15T18:05:03.867107Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation 5ed040ef-4b77-4939-9330-883ae8353ee0 · outbound
This paper cites Differential Geom.
Self-expanders of positive genus Differential Geom
Reference 33
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-15T18:05:03.855396Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation 5307425e-5330-4978-81ee-b08674b712d1 · outbound
This paper cites Self-shrinkers whose asymptotic cones fatten.
Self-expanders of positive genus Self-shrinkers whose asymptotic cones fatten
Reference 34
- Resolution
- unresolved
- no resolver link, observed 2026-08-15T18:05:03.476005Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation ae34def0-65ee-407d-974d-8234529ae57e · outbound
This paper cites Closed mean curvature flows with asymptotically conical singularities.
Self-expanders of positive genus Closed mean curvature flows with asymptotically conical singularities
Reference 35
- Resolution
- unresolved
- no resolver link, observed 2026-08-15T18:05:03.480278Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation cef4a444-eea9-45a9-a81a-6ace557b4661 · outbound
This paper cites Pure Appl.
Self-expanders of positive genus Pure Appl
Reference 36
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-15T18:05:03.842554Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation 4373bdf8-a65a-4406-93b3-41a868c5e61d · outbound
This paper cites 135, Cambridge University Press, Cambridge, 2012.
Self-expanders of positive genus 135, Cambridge University Press, Cambridge, 2012
Reference 37
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-15T18:05:03.829524Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation 0e409810-6047-40cd-8c62-1ae359e71b4e · outbound
This paper cites an unresolved cited work.
Self-expanders of positive genus Unresolved cited work
Reference 38
- Resolution
- unresolved
- raw_fallback, observed 2026-08-15T18:05:03.816998Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation 4549f25b-4505-4286-9af3-40d358dc98a6 · outbound
This paper cites an unresolved cited work.
Self-expanders of positive genus Unresolved cited work
Reference 39
- Resolution
- unresolved
- raw_fallback, observed 2026-08-15T18:05:03.802126Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation 20996227-ffe3-404b-8ab3-f781d24c0fec · outbound
This paper cites Self-shrinkers with any number of ends in $\mathbb{R}^{3}$ by stacking $\mathbb{R}^{2}$.
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 2026-08-19T06:32:44.657259+00:00.
Observation d3975799-ad35-4ecd-88a9-0d83196f11e3 · outbound
This paper cites 3, Australian National University, Centre for Mathematical Analysis, Canberra, 1983.
Self-expanders of positive genus 3, Australian National University, Centre for Mathematical Analysis, Canberra, 1983
Reference 41
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-15T18:05:03.789889Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation 41393b9b-2775-4609-a187-4e1907e13bc0 · outbound
This paper cites an unresolved cited work.
Self-expanders of positive genus Unresolved cited work
Reference 42
- Resolution
- unresolved
- raw_fallback, observed 2026-08-15T18:05:03.776107Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation 1ea3f16c-75b1-4eea-8eee-412c263f7846 · outbound
This paper cites an unresolved cited work.
Self-expanders of positive genus Unresolved cited work
Reference 43
- Resolution
- unresolved
- raw_fallback, observed 2026-08-15T18:05:03.762726Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation bb7d242c-319a-4208-be3e-76c6b0f31362 · outbound
This paper cites Accessed: 2025-06-25.
Self-expanders of positive genus Accessed: 2025-06-25
Reference 44
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-15T18:05:03.749465Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Pith citing papers
Observation 7756d06b-9d30-4f9d-9fc2-c37a4651f153 · inbound
Convexity of mean convex asymptotically conical self-expanders to the mean curvature flow cites this paper.
Convexity of mean convex asymptotically conical self-expanders to the mean curvature flow Self-expanders of positive genus
Reference 27
- Resolution
- unresolved
- no resolver link, observed 2026-08-05T13:09:33.419557Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation bae048e4-6418-4c77-acfe-3273d5e1348c · inbound
Calibration energy and mean curvature flow cites this paper.
Calibration energy and mean curvature flow Self-expanders of positive genus
Reference 73
- Resolution
- verified exact
- arxiv_id, observed 2026-07-02T10:56:52.719182Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.