Paper Citation Record · LEDGER

The worst destabilizing 1-parameter subgroup for toric rational curves with one unibranch singularity

As of 10 August 2026, this Paper Citation Record lists 30 of 30 outbound references and 0 inbound Pith citation observations for arXiv:2502.00458.

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

pith.paper-citation-record.v1
2502.00458 v1

Coverage vector

measured 30 of 30 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-09T19:08:52.299592Z

measured 30 of 30 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-10T06:31:04.303077+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

30 of 30 outbound references displayed

verified exact5
verified fuzzy18
unresolved5
parse uncertain0
malformed identifier0
metadata mismatch2

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 34a337a8-18ab-49f9-99d1-bf270634fb67 · outbound

This paper cites 2122, Springer, Cham, 2014.

The worst destabilizing 1-parameter subgroup for toric rational curves with one unibranch singularity 2122, Springer, Cham, 2014

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-09T19:08:52.974089Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 13045ed3-1472-45e9-ae81-41038492327b · outbound

This paper cites MR2061575 ↑7.

The worst destabilizing 1-parameter subgroup for toric rational curves with one unibranch singularity MR2061575 ↑7

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-09T19:08:52.958849Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation c459fd02-49fa-42ed-8872-32e85556aaf1 · outbound

This paper cites Publ., Dordrecht, 1995, pp.

The worst destabilizing 1-parameter subgroup for toric rational curves with one unibranch singularity Publ., Dordrecht, 1995, pp

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-09T19:08:52.943930Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation a01c4af9-c7c2-47c7-bcd5-dbf3e4de8218 · outbound

This paper cites Available at https://www.gap-system.org.

The worst destabilizing 1-parameter subgroup for toric rational curves with one unibranch singularity Available at https://www.gap-system.org

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-09T19:08:52.930291Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 64b83609-781c-4557-a0d7-f57962b242f8 · outbound

This paper cites Jensen, Gfan, a software system for Gr¨ obner fans and tropical varie ties.

The worst destabilizing 1-parameter subgroup for toric rational curves with one unibranch singularity Jensen, Gfan, a software system for Gr¨ obner fans and tropical varie ties

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-09T19:08:52.894743Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 39d143c2-a866-4561-97e4-3e15c0e76108 · outbound

This paper cites an unresolved cited work.

The worst destabilizing 1-parameter subgroup for toric rational curves with one unibranch singularity Unresolved cited work

Reference 6

Resolution: unresolved; raw_fallback, observed 2026-08-09T19:08:52.872281Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 0b7d3602-10cd-437f-8e07-e9c8fd7cd459 · outbound

This paper cites Gieseker, Lectures on moduli of curves , Tata Institute of Fundamental Research Lectures on Mathem atics and Physics, vol.

The worst destabilizing 1-parameter subgroup for toric rational curves with one unibranch singularity Gieseker, Lectures on moduli of curves , Tata Institute of Fundamental Research Lectures on Mathem atics and Physics, vol

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-09T19:08:52.849529Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation aa5611aa-611c-4baa-a7cc-eb4695306cc8 · outbound

This paper cites On the structure of instability in moduli theory.

The worst destabilizing 1-parameter subgroup for toric rational curves with one unibranch singularity On the structure of instability in moduli theory

Reference 8

Resolution: unresolved; no resolver link, observed 2026-08-09T19:08:51.973851Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 19d3ccd0-65c1-4fd2-90f0-7f4942be0f15 · outbound

This paper cites 187, Springer-Verlag , New York, 1998.

The worst destabilizing 1-parameter subgroup for toric rational curves with one unibranch singularity 187, Springer-Verlag , New York, 1998

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-08-09T19:08:52.833401Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 9f9bebf8-f9fd-4925-8bce-6dad93e21df1 · outbound

This paper cites an unresolved cited work.

The worst destabilizing 1-parameter subgroup for toric rational curves with one unibranch singularity Unresolved cited work

Reference 10

Resolution: unresolved; no resolver link, observed 2026-08-09T19:08:52.052306Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 8f010430-01ae-4f99-8cc2-3c2088596b4f · outbound

This paper cites Hesselink, Uniform instability in reductive groups , J.

The worst destabilizing 1-parameter subgroup for toric rational curves with one unibranch singularity Hesselink, Uniform instability in reductive groups , J

Reference 11

Resolution: unresolved; no resolver link, observed 2026-08-09T19:08:52.073921Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 480d1328-661c-4ee9-9d44-d7834fabe205 · outbound

This paper cites Algebra 657 (2024), 207–285, DOI 10.1016/j.jalgebra.2024.05.021.

The worst destabilizing 1-parameter subgroup for toric rational curves with one unibranch singularity Algebra 657 (2024), 207–285, DOI 10.1016/j.jalgebra.2024.05.021

Reference 12

Resolution: verified exact; doi, observed 2026-08-09T19:08:52.410968Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 9d01393e-373e-4767-aa63-83ce54657937 · outbound

This paper cites an unresolved cited work.

The worst destabilizing 1-parameter subgroup for toric rational curves with one unibranch singularity Unresolved cited work

Reference 13

Resolution: verified exact; doi, observed 2026-08-09T19:08:52.391993Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 59cc5014-839c-43fd-83ad-56dfaab294f5 · outbound

This paper cites Generic states and stability.

The worst destabilizing 1-parameter subgroup for toric rational curves with one unibranch singularity Generic states and stability

Reference 14

Resolution: metadata mismatch; local_arxiv, observed 2026-08-09T19:08:52.628031Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 0c631a13-c72d-4a61-8d37-e082011c1a97 · outbound

This paper cites The worst 1-PS for rational curves with a u nibranch singularity.

The worst destabilizing 1-parameter subgroup for toric rational curves with one unibranch singularity The worst 1-PS for rational curves with a u nibranch singularity

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-08-09T19:08:52.818363Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 2e19df61-1246-446f-9da8-07a234d2550a · outbound

This paper cites Canonical Filtrations of Finite-Dimensional Algebras.

The worst destabilizing 1-parameter subgroup for toric rational curves with one unibranch singularity Canonical Filtrations of Finite-Dimensional Algebras

Reference 16

Resolution: metadata mismatch; local_arxiv, observed 2026-08-09T19:08:52.599175Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 69c24d67-03de-41cc-9aa9-3b1f3822a395 · outbound

This paper cites Kempf, Instability in invariant theory , Ann.

The worst destabilizing 1-parameter subgroup for toric rational curves with one unibranch singularity Kempf, Instability in invariant theory , Ann

Reference 17

Resolution: verified exact; doi, observed 2026-08-09T19:08:52.376620Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 25086ba6-e65a-401f-85a4-8fd3fee32351 · outbound

This paper cites an unresolved cited work.

The worst destabilizing 1-parameter subgroup for toric rational curves with one unibranch singularity Unresolved cited work

Reference 18

Resolution: verified exact; doi, observed 2026-08-09T19:08:52.360495Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 27c11772-956c-4951-bbc6-5e0f9360d29f · outbound

This paper cites 31, Prince- ton University Press, Princeton, NJ, 1984.

The worst destabilizing 1-parameter subgroup for toric rational curves with one unibranch singularity 31, Prince- ton University Press, Princeton, NJ, 1984

Reference 19

Resolution: verified fuzzy; raw_fallback, observed 2026-08-09T19:08:52.802702Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 58405eee-0064-49e8-8041-d05905e08a9a · outbound

This paper cites Grayson and Michael E.

The worst destabilizing 1-parameter subgroup for toric rational curves with one unibranch singularity Grayson and Michael E

Reference 20

Resolution: verified fuzzy; raw_fallback, observed 2026-08-09T19:08:52.786980Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 57a17d10-ae81-4774-9be2-f58bfb9b6e26 · outbound

This paper cites https://www.mathworks.com.

The worst destabilizing 1-parameter subgroup for toric rational curves with one unibranch singularity https://www.mathworks.com

Reference 21

Resolution: verified fuzzy; raw_fallback, observed 2026-08-09T19:08:52.772053Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation f855fb9f-1ebe-486e-a197-a75afe24dc98 · outbound

This paper cites an unresolved cited work.

The worst destabilizing 1-parameter subgroup for toric rational curves with one unibranch singularity Unresolved cited work

Reference 22

Resolution: unresolved; no resolver link, observed 2026-08-09T19:08:52.250566Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 643e28a9-37f7-43d8-a0d5-e7af722961fc · outbound

This paper cites Institut des Hautes ´Etudes Scientiﬁques.

The worst destabilizing 1-parameter subgroup for toric rational curves with one unibranch singularity Institut des Hautes ´Etudes Scientiﬁques

Reference 23

Resolution: verified fuzzy; raw_fallback, observed 2026-08-09T19:08:52.756365Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation fe98baa1-9dee-406b-bb63-a02c4692d8be · outbound

This paper cites Mumford, J.

The worst destabilizing 1-parameter subgroup for toric rational curves with one unibranch singularity Mumford, J

Reference 24

Resolution: verified fuzzy; raw_fallback, observed 2026-08-09T19:08:52.741404Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation e3dd0552-688c-4944-92b8-34d393879fd3 · outbound

This paper cites an unresolved cited work.

The worst destabilizing 1-parameter subgroup for toric rational curves with one unibranch singularity Unresolved cited work

Reference 25

Resolution: verified exact; doi, observed 2026-08-09T19:08:52.344253Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation fa60fd31-9fe9-452c-ba51-6682d8d4e390 · outbound

This paper cites Garcia-Sanchez Manuel Delgado Jose Morais, NumericalSgps - a GAP package , 2022.

The worst destabilizing 1-parameter subgroup for toric rational curves with one unibranch singularity Garcia-Sanchez Manuel Delgado Jose Morais, NumericalSgps - a GAP package , 2022

Reference 26

Resolution: verified fuzzy; raw_fallback, observed 2026-08-09T19:08:52.724299Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation b79c4c9a-80c0-46f5-b32e-a1df8282d6e3 · outbound

This paper cites Eaton and David Bateman and Soren Hauberg and Rik W ehbring, GNU Octave version 8.2.0 manual: a high-level interactive language for numerical computations , 2023.

The worst destabilizing 1-parameter subgroup for toric rational curves with one unibranch singularity Eaton and David Bateman and Soren Hauberg and Rik W ehbring, GNU Octave version 8.2.0 manual: a high-level interactive language for numerical computations , 2023

Reference 27

Resolution: verified fuzzy; raw_fallback, observed 2026-08-09T19:08:52.708919Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 128e58d5-e60d-471e-9392-b86ee9375970 · outbound

This paper cites 37, 2003.

The worst destabilizing 1-parameter subgroup for toric rational curves with one unibranch singularity 37, 2003

Reference 28

Resolution: verified fuzzy; raw_fallback, observed 2026-08-09T19:08:52.694041Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 2b8d8985-1010-40d2-bd02-c5f4f8f4bd3c · outbound

This paper cites 78 (1991), no.

The worst destabilizing 1-parameter subgroup for toric rational curves with one unibranch singularity 78 (1991), no

Reference 29

Resolution: verified fuzzy; raw_fallback, observed 2026-08-09T19:08:52.677816Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation c2eedae2-83c2-46cf-91e7-cc22fc785fa3 · outbound

This paper cites https://www.sagemath.org.

The worst destabilizing 1-parameter subgroup for toric rational curves with one unibranch singularity https://www.sagemath.org

Reference 30

Resolution: verified fuzzy; raw_fallback, observed 2026-08-09T19:08:52.661190Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Pith citing papers

No inbound Pith citation observations are available.