Paper Citation Record · LEDGER

Decompositions of augmentation varieties via weaves and rulings

As of 9 August 2026, this Paper Citation Record lists 14 of 14 outbound references and 1 inbound Pith citation observation for arXiv:2508.20226.

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

pith.paper-citation-record.v1
2508.20226 v1

Coverage vector

measured 14 of 14 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-05T15:23:44.103226Z

measured 15 of 15 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-09T06:31:02.800959+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-05-22T01:58:10.522362Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-05-22T02:00:55.133445Z

Reference resolution

14 of 14 outbound references displayed

verified exact2
verified fuzzy4
unresolved8
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation ccf3b906-12eb-4410-9f7d-390452ec3510 · outbound

This paper cites an unresolved cited work.

Decompositions of augmentation varieties via weaves and rulings Unresolved cited work

Reference 3

Resolution: unresolved; raw_fallback, observed 2026-08-05T15:23:46.190156Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 530df5d9-4e91-40b2-9be2-b0cf1b97a48e · outbound

This paper cites Braid variety cluster structures, I: 3D plabic graphs.

Decompositions of augmentation varieties via weaves and rulings Braid variety cluster structures, I: 3D plabic graphs

Reference 11

Resolution: unresolved; no resolver link, observed 2026-08-05T15:23:43.758286Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation b1ada7a2-5317-4da5-9aa9-436bf5a01207 · outbound

This paper cites Cell decompositions of character varieties.

Decompositions of augmentation varieties via weaves and rulings Cell decompositions of character varieties

Reference 12

Resolution: verified exact; local_arxiv, observed 2026-08-05T15:23:44.317373Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 318bedac-da72-44ac-a749-18f2819c4eda · outbound

This paper cites Richardson varieties, projected Richardson varieties and positroid varieties.

Decompositions of augmentation varieties via weaves and rulings Richardson varieties, projected Richardson varieties and positroid varieties

Reference 13

Resolution: unresolved; no resolver link, observed 2026-08-05T15:23:43.992365Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 21b59345-c5a7-4aff-9977-0be3d1d3c23b · outbound

This paper cites [EHK16] Tobias Ekholm, Ko Honda, and Tamás Kálmán.

Decompositions of augmentation varieties via weaves and rulings [EHK16] Tobias Ekholm, Ko Honda, and Tamás Kálmán

Reference 2000

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T15:23:45.720194Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation becdcfff-0012-48f5-8cc4-ea33f896314b · outbound

This paper cites Conjugate Fillings and Legendrian Weaves.

Decompositions of augmentation varieties via weaves and rulings Conjugate Fillings and Legendrian Weaves

Reference 2002

Resolution: unresolved; no resolver link, observed 2026-08-05T15:23:42.872910Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 165ead6f-b87e-453f-a06b-75f289442e97 · outbound

This paper cites Braid loops with infinite monodromy on the Legendrian contact DGA.

Decompositions of augmentation varieties via weaves and rulings Braid loops with infinite monodromy on the Legendrian contact DGA

Reference 2014

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T15:23:45.951581Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation cc77a113-5fba-4e89-96b2-c16352f1aea1 · outbound

This paper cites Duality between Lagrangian and Legendrian invariants.

Decompositions of augmentation varieties via weaves and rulings Duality between Lagrangian and Legendrian invariants

Reference 2016

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T15:23:45.453934Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation ed3f4475-a6fe-4439-b469-1eff29baac87 · outbound

This paper cites an unresolved cited work.

Decompositions of augmentation varieties via weaves and rulings Unresolved cited work

Reference 2020

Resolution: unresolved; raw_fallback, observed 2026-08-05T15:23:45.016606Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 6535289d-1f94-40a2-944c-7dfd1b4ae98c · outbound

This paper cites From the Hecke Category to the Unipotent Locus.

Decompositions of augmentation varieties via weaves and rulings From the Hecke Category to the Unipotent Locus

Reference 2021

Resolution: unresolved; no resolver link, observed 2026-08-05T15:23:44.103226Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation c8b85e6e-6d4a-4c5e-851c-8e92998a0f5a · outbound

This paper cites Augmentations, Fillings, and Clusters for 2-Bridge Links.

Decompositions of augmentation varieties via weaves and rulings Augmentations, Fillings, and Clusters for 2-Bridge Links

Reference 2022

Resolution: verified exact; local_arxiv, observed 2026-08-05T15:23:44.551559Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation b0ef3a2e-b477-41c0-aeeb-7c0595c23609 · outbound

This paper cites Invariants in contact topology.

Decompositions of augmentation varieties via weaves and rulings Invariants in contact topology

Reference 2023

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T15:23:45.234451Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation c530a62b-7185-4f47-a434-26b63664a620 · outbound

This paper cites Comparing cluster algebras on braid varieties.

Decompositions of augmentation varieties via weaves and rulings Comparing cluster algebras on braid varieties

Reference 2024

Resolution: unresolved; no resolver link, observed 2026-08-05T15:23:42.526545Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 15336ee1-2cae-4c10-a96e-c99a01f68a9f · outbound

This paper cites Positroid links and braid varieties.

Decompositions of augmentation varieties via weaves and rulings Positroid links and braid varieties

Reference 2025

Resolution: unresolved; no resolver link, observed 2026-08-05T15:23:42.631218Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Pith citing papers

Observation 7e0a7d78-d78b-4cdf-a5eb-c056feb610a7 · inbound

Categorical Lusztig cycles and weave schobers cites this paper.

Categorical Lusztig cycles and weave schobers Decompositions of augmentation varieties via weaves and rulings

Reference 1

Resolution: verified exact; arxiv_id, observed 2026-05-22T02:00:55.135753Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.