Paper Citation Record · LEDGER

Stability of Type A Mirkovi\'c-Vilonen Polytopes under Minkowski Sum via Weak Separation

As of 19 August 2026, this Paper Citation Record lists 35 of 35 outbound references and 0 inbound Pith citation observations for arXiv:2605.25023.

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

pith.paper-citation-record.v1
2605.25023 v2

Coverage vector

measured 35 of 35 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-06-29T23:52:50.943214Z

measured 35 of 35 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-19T06:32:44.657259+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

35 of 35 outbound references displayed

verified exact6
verified fuzzy0
unresolved27
parse uncertain0
malformed identifier0
metadata mismatch2

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 0facab9d-6792-420c-9026-f2b7021644f0 · outbound

This paper cites Anderson, A polytope calculus for semisimple groups, Duke Math.

Stability of Type A Mirkovi\'c-Vilonen Polytopes under Minkowski Sum via Weak Separation Anderson, A polytope calculus for semisimple groups, Duke Math

Reference 1

Resolution: unresolved; no resolver link, observed 2026-06-29T23:52:50.943214Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 13cf26a4-e73e-405f-ae0f-4b013720040d · outbound

This paper cites Anderson and M.

Stability of Type A Mirkovi\'c-Vilonen Polytopes under Minkowski Sum via Weak Separation Anderson and M

Reference 2

Resolution: unresolved; no resolver link, observed 2026-06-29T23:52:50.943214Z

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Observation 119b25d0-6fbe-49bc-9b06-fc0d26dc7d6c · outbound

This paper cites Positroids and non-crossing partitions.

Stability of Type A Mirkovi\'c-Vilonen Polytopes under Minkowski Sum via Weak Separation Positroids and non-crossing partitions

Reference 3

Resolution: unresolved; no resolver link, observed 2026-06-29T23:52:50.943214Z

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Observation 4779efde-3ae1-4556-8992-b54bf2e9ae1c · outbound

This paper cites A Speyer, Tropical Linear Spaces, SIAM Journal on Discrete Mathematics 2008.

Stability of Type A Mirkovi\'c-Vilonen Polytopes under Minkowski Sum via Weak Separation A Speyer, Tropical Linear Spaces, SIAM Journal on Discrete Mathematics 2008

Reference 4

Resolution: unresolved; no resolver link, observed 2026-06-29T23:52:50.943214Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 784dc136-6134-44d0-abe5-9d65a5d62036 · outbound

This paper cites Borovik, I.

Stability of Type A Mirkovi\'c-Vilonen Polytopes under Minkowski Sum via Weak Separation Borovik, I

Reference 5

Resolution: unresolved; no resolver link, observed 2026-06-29T23:52:50.943214Z

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Observation c9fec9a8-d308-4c3b-ac8e-e8612ecabe3d · outbound

This paper cites an unresolved cited work.

Stability of Type A Mirkovi\'c-Vilonen Polytopes under Minkowski Sum via Weak Separation Unresolved cited work

Reference 6

Resolution: unresolved; no resolver link, observed 2026-06-29T23:52:50.943214Z

Source-reported events for the cited work

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Observation 47f64718-a31c-4ea5-b75e-cb27b1bc158c · outbound

This paper cites Bonin, Anna de Mier, Lattice path matroids: Structural properties, European Journal of Combinatorics, Volume 27, Issue 5, 2006, Pages 701-738, ISSN 0195-6698.

Stability of Type A Mirkovi\'c-Vilonen Polytopes under Minkowski Sum via Weak Separation Bonin, Anna de Mier, Lattice path matroids: Structural properties, European Journal of Combinatorics, Volume 27, Issue 5, 2006, Pages 701-738, ISSN 0195-6698

Reference 7

Resolution: unresolved; no resolver link, observed 2026-06-29T23:52:50.943214Z

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Observation d6180a24-7704-4911-8204-a8f1a0e1f60b · outbound

This paper cites an unresolved cited work.

Stability of Type A Mirkovi\'c-Vilonen Polytopes under Minkowski Sum via Weak Separation Unresolved cited work

Reference 8

Resolution: unresolved; no resolver link, observed 2026-06-29T23:52:50.943214Z

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Observation 1af41714-dd2b-497d-9d0e-accaa1a81b1c · outbound

This paper cites Danilov, Gleb A.

Stability of Type A Mirkovi\'c-Vilonen Polytopes under Minkowski Sum via Weak Separation Danilov, Gleb A

Reference 9

Resolution: unresolved; no resolver link, observed 2026-06-29T23:52:50.943214Z

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Observation fbf3be7e-cbfa-46b1-86f6-22b33dcb6f19 · outbound

This paper cites Danilov, Gleb A.

Stability of Type A Mirkovi\'c-Vilonen Polytopes under Minkowski Sum via Weak Separation Danilov, Gleb A

Reference 10

Resolution: verified exact; doi, observed 2026-06-29T23:54:02.213917Z

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 ee8d0f5d-e4fc-41e4-b4cb-3c9543aa0b28 · outbound

This paper cites Danilov, Alexander V.

Stability of Type A Mirkovi\'c-Vilonen Polytopes under Minkowski Sum via Weak Separation Danilov, Alexander V

Reference 11

Resolution: unresolved; no resolver link, observed 2026-06-29T23:52:50.943214Z

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Observation e67c771d-067b-4f7b-a2a0-95cbf6d2c15f · outbound

This paper cites Danilov, Alexander V.

Stability of Type A Mirkovi\'c-Vilonen Polytopes under Minkowski Sum via Weak Separation Danilov, Alexander V

Reference 12

Resolution: unresolved; no resolver link, observed 2026-06-29T23:52:50.943214Z

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Observation c0f8a9de-c3d5-4e92-a528-94c0b1193ff8 · outbound

This paper cites Honeycomb Tessellations and Graded Permutohedral Blades.

Stability of Type A Mirkovi\'c-Vilonen Polytopes under Minkowski Sum via Weak Separation Honeycomb Tessellations and Graded Permutohedral Blades

Reference 13

Resolution: verified exact; arxiv_id, observed 2026-06-29T23:54:03.244519Z

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 92772dbd-8b0a-42dd-8265-efe3de633968 · outbound

This paper cites Weighted blade arrangements and the positive tropical Grassmannian.

Stability of Type A Mirkovi\'c-Vilonen Polytopes under Minkowski Sum via Weak Separation Weighted blade arrangements and the positive tropical Grassmannian

Reference 14

Resolution: verified exact; arxiv_id, observed 2026-06-29T23:54:03.248133Z

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 e58ec9c7-048e-45b7-a3d4-3f458ecac07b · outbound

This paper cites Combinatorial Theory, 2022.526.

Stability of Type A Mirkovi\'c-Vilonen Polytopes under Minkowski Sum via Weak Separation Combinatorial Theory, 2022.526

Reference 15

Resolution: unresolved; no resolver link, observed 2026-06-29T23:52:50.943214Z

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Observation ac196088-50f9-40c5-87f5-452adf9b703c · outbound

This paper cites an unresolved cited work.

Stability of Type A Mirkovi\'c-Vilonen Polytopes under Minkowski Sum via Weak Separation Unresolved cited work

Reference 16

Resolution: unresolved; no resolver link, observed 2026-06-29T23:52:50.943214Z

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Observation 2dd20a13-86c1-449b-afdf-f981e4232538 · outbound

This paper cites an unresolved cited work.

Stability of Type A Mirkovi\'c-Vilonen Polytopes under Minkowski Sum via Weak Separation Unresolved cited work

Reference 17

Resolution: unresolved; no resolver link, observed 2026-06-29T23:52:50.943214Z

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Observation 426e0615-c689-4d37-a535-17b344472b16 · outbound

This paper cites an unresolved cited work.

Stability of Type A Mirkovi\'c-Vilonen Polytopes under Minkowski Sum via Weak Separation Unresolved cited work

Reference 18

Resolution: verified exact; doi, observed 2026-06-29T23:54:02.220961Z

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 f02c9d81-5152-44e6-81e0-4a1dfee18237 · outbound

This paper cites Generalized polymatroids and submodular flows.

Stability of Type A Mirkovi\'c-Vilonen Polytopes under Minkowski Sum via Weak Separation Generalized polymatroids and submodular flows

Reference 19

Resolution: verified exact; doi, observed 2026-06-29T23:54:02.209447Z

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 41e9131e-ffd9-44e9-943f-54ca264276da · outbound

This paper cites Dizier, Schubert polynomials as integer point transforms of generalized permutahedra, Advances in Mathematics, Volume 332, 2018, Pages 465-475, ISSN 0001-8708.

Stability of Type A Mirkovi\'c-Vilonen Polytopes under Minkowski Sum via Weak Separation Dizier, Schubert polynomials as integer point transforms of generalized permutahedra, Advances in Mathematics, Volume 332, 2018, Pages 465-475, ISSN 0001-8708

Reference 20

Resolution: unresolved; no resolver link, observed 2026-06-29T23:52:50.943214Z

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Observation 2692a874-3c33-4550-bf4e-049540890886 · outbound

This paper cites an unresolved cited work.

Stability of Type A Mirkovi\'c-Vilonen Polytopes under Minkowski Sum via Weak Separation Unresolved cited work

Reference 21

Resolution: unresolved; no resolver link, observed 2026-06-29T23:52:50.943214Z

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Observation 77e1dd54-1e67-45fd-9b8d-2a8eefde2d30 · outbound

This paper cites an unresolved cited work.

Stability of Type A Mirkovi\'c-Vilonen Polytopes under Minkowski Sum via Weak Separation Unresolved cited work

Reference 22

Resolution: unresolved; no resolver link, observed 2026-06-29T23:52:50.943214Z

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Observation 59ab6071-786f-4c4e-b1d8-6a61c214e2c9 · outbound

This paper cites Kashiwara, Crystalizing the q-analogue of universal enveloping algebras, Comm.

Stability of Type A Mirkovi\'c-Vilonen Polytopes under Minkowski Sum via Weak Separation Kashiwara, Crystalizing the q-analogue of universal enveloping algebras, Comm

Reference 23

Resolution: unresolved; no resolver link, observed 2026-06-29T23:52:50.943214Z

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Observation f9adf5e1-cbec-4200-b924-03e68c297f21 · outbound

This paper cites an unresolved cited work.

Stability of Type A Mirkovi\'c-Vilonen Polytopes under Minkowski Sum via Weak Separation Unresolved cited work

Reference 24

Resolution: unresolved; no resolver link, observed 2026-06-29T23:52:50.943214Z

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Observation 8ba4bedd-cefc-435e-9ab9-4b53f8538fe1 · outbound

This paper cites an unresolved cited work.

Stability of Type A Mirkovi\'c-Vilonen Polytopes under Minkowski Sum via Weak Separation Unresolved cited work

Reference 25

Resolution: unresolved; no resolver link, observed 2026-06-29T23:52:50.943214Z

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Observation ac617fe9-38fb-4370-a683-eff091afabfc · outbound

This paper cites Koshevoy, F.

Stability of Type A Mirkovi\'c-Vilonen Polytopes under Minkowski Sum via Weak Separation Koshevoy, F

Reference 26

Resolution: metadata mismatch; arxiv_id, observed 2026-06-29T23:54:02.206261Z

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 f6de5e3e-7539-4439-aef5-acee86cf465f · outbound

This paper cites Polypositroids.

Stability of Type A Mirkovi\'c-Vilonen Polytopes under Minkowski Sum via Weak Separation Polypositroids

Reference 27

Resolution: unresolved; no resolver link, observed 2026-06-29T23:52:50.943214Z

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Observation 6a550f2c-4688-4fc2-827a-3befbad7141a · outbound

This paper cites an unresolved cited work.

Stability of Type A Mirkovi\'c-Vilonen Polytopes under Minkowski Sum via Weak Separation Unresolved cited work

Reference 28

Resolution: verified exact; doi, observed 2026-06-29T23:54:02.217390Z

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No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 6d0fea66-a668-417c-a7a0-6cb50c25e65a · outbound

This paper cites an unresolved cited work.

Stability of Type A Mirkovi\'c-Vilonen Polytopes under Minkowski Sum via Weak Separation Unresolved cited work

Reference 29

Resolution: unresolved; no resolver link, observed 2026-06-29T23:52:50.943214Z

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Observation 35305787-fd9d-49ea-93cc-c067f8c36fbe · outbound

This paper cites Murota, Discrete Convex Analysis, SIAM, Philadelphia, 2003.

Stability of Type A Mirkovi\'c-Vilonen Polytopes under Minkowski Sum via Weak Separation Murota, Discrete Convex Analysis, SIAM, Philadelphia, 2003

Reference 30

Resolution: unresolved; no resolver link, observed 2026-06-29T23:52:50.943214Z

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Observation aa5e89a1-a8c4-471b-a112-f9e5c9bb5152 · outbound

This paper cites Mirkovi\'c and K.

Stability of Type A Mirkovi\'c-Vilonen Polytopes under Minkowski Sum via Weak Separation Mirkovi\'c and K

Reference 31

Resolution: unresolved; no resolver link, observed 2026-06-29T23:52:50.943214Z

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Observation ec3d70e1-1327-4727-87f4-e293c062764e · outbound

This paper cites an unresolved cited work.

Stability of Type A Mirkovi\'c-Vilonen Polytopes under Minkowski Sum via Weak Separation Unresolved cited work

Reference 32

Resolution: unresolved; no resolver link, observed 2026-06-29T23:52:50.943214Z

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Observation 452684d1-aa2d-4013-8769-f88a0192eeed · outbound

This paper cites an unresolved cited work.

Stability of Type A Mirkovi\'c-Vilonen Polytopes under Minkowski Sum via Weak Separation Unresolved cited work

Reference 33

Resolution: unresolved; no resolver link, observed 2026-06-29T23:52:50.943214Z

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Observation aa42bfab-b6a2-4421-b1b8-a8feb1340ecf · outbound

This paper cites Speyer, Weak separation and plabic graphs, Proceedings of the London Mathematical Society, 2015.

Stability of Type A Mirkovi\'c-Vilonen Polytopes under Minkowski Sum via Weak Separation Speyer, Weak separation and plabic graphs, Proceedings of the London Mathematical Society, 2015

Reference 34

Resolution: unresolved; no resolver link, observed 2026-06-29T23:52:50.943214Z

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Unavailable: canonical work link unavailable.

Observation 9a758477-fb89-499d-9ce4-c7484c84c6bc · outbound

This paper cites Mirkovi\'c-Vilonen Polytopes from Combinatorics.

Stability of Type A Mirkovi\'c-Vilonen Polytopes under Minkowski Sum via Weak Separation Mirkovi\'c-Vilonen Polytopes from Combinatorics

Reference 35

Resolution: metadata mismatch; arxiv_id, observed 2026-06-29T23:54:03.241163Z

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

No inbound Pith citation observations are available.