Paper Citation Record · LEDGER

Tropical linear series and matroids

As of 19 August 2026, this Paper Citation Record lists 42 of 42 outbound references and 3 inbound Pith citation observations for arXiv:2508.20062.

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

pith.paper-citation-record.v1
2508.20062 v1

Coverage vector

measured 42 of 42 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-05T15:21:45.705340Z

measured 45 of 45 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-18T06:34:40.430872+00:00

measured 3 of 3 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-15T19:38:02.063148Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-05-22T11:26:28.799099Z

Reference resolution

42 of 42 outbound references displayed

verified exact3
verified fuzzy22
unresolved17
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 25e79a5b-13d7-4fa5-ba84-a105d33706f0 · outbound

This paper cites Amini, M.

Tropical linear series and matroids Amini, M

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T15:21:46.163892Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 99511a76-039d-401e-8fdd-964e01395e56 · outbound

This paper cites Abramovich, L.

Tropical linear series and matroids Abramovich, L

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T15:21:46.156235Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 8e6c47ab-c598-42f3-934f-06b54bd96537 · outbound

This paper cites Amini, S.

Tropical linear series and matroids Amini, S

Reference 3

Resolution: unresolved; no resolver link, observed 2026-08-05T15:21:45.610182Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation c8a4c28d-9d34-47b2-90fa-e048cd41528d · outbound

This paper cites an unresolved cited work.

Tropical linear series and matroids Unresolved cited work

Reference 4

Resolution: unresolved; no resolver link, observed 2026-08-05T15:21:45.612694Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 9e9adf0f-e4b9-4125-bbb5-54dbd3d87b8e · outbound

This paper cites Bainbridge, D.

Tropical linear series and matroids Bainbridge, D

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T15:21:46.144990Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 033f14d4-b2c3-462f-944c-f0c10fe7dfba · outbound

This paper cites Barbosa, M.

Tropical linear series and matroids Barbosa, M

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T15:21:46.135970Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 5e351f8b-c174-49f5-b9c6-255dcbc20ab0 · outbound

This paper cites Brandt, C.

Tropical linear series and matroids Brandt, C

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T15:21:46.129132Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation fa1a0e26-1a8e-4aa3-befd-2694b9c224f0 · outbound

This paper cites Bachem and W.

Tropical linear series and matroids Bachem and W

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T15:21:46.035842Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 271d396a-3ff6-4844-b604-b8222d2913cc · outbound

This paper cites Baker and S.

Tropical linear series and matroids Baker and S

Reference 9

Resolution: unresolved; no resolver link, observed 2026-08-05T15:21:45.625747Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 0a2d8c9f-4c9f-4a2a-9b2f-32fd6ef74727 · outbound

This paper cites Baker, S.

Tropical linear series and matroids Baker, S

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T15:21:46.024739Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 971b5698-15e1-481e-b29a-1281cdc9cff1 · outbound

This paper cites Baker and J.

Tropical linear series and matroids Baker and J

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T15:21:46.017176Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 81f05655-4fa7-413f-a90c-f8974e8585bb · outbound

This paper cites Baker and F.

Tropical linear series and matroids Baker and F

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T15:21:46.008889Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 6529ccbd-5493-49dd-a521-d55777589ff9 · outbound

This paper cites Cartwright.

Tropical linear series and matroids Cartwright

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T15:21:46.001441Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 208ee2a5-a8af-48f7-a101-86d8125e485c · outbound

This paper cites Cools, J.

Tropical linear series and matroids Cools, J

Reference 14

Resolution: unresolved; no resolver link, observed 2026-08-05T15:21:45.637803Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 94d57258-3afd-43eb-9bcf-0ffbd1a7234e · outbound

This paper cites Caporaso, Y.

Tropical linear series and matroids Caporaso, Y

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T15:21:45.989974Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation d5541509-7632-4cbc-a62f-6d3e543a2022 · outbound

This paper cites Tropical linear systems and the realizability problem.

Tropical linear series and matroids Tropical linear systems and the realizability problem

Reference 16

Resolution: verified exact; local_arxiv, observed 2026-08-05T15:21:45.761423Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 580aea10-5400-4d0e-a761-0f579386f85b · outbound

This paper cites an unresolved cited work.

Tropical linear series and matroids Unresolved cited work

Reference 17

Resolution: verified exact; doi, observed 2026-08-05T15:21:45.727188Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 23c9dba5-5ae9-4e32-b604-f01f6d85677d · outbound

This paper cites Farkas, D.

Tropical linear series and matroids Farkas, D

Reference 18

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T15:21:45.982765Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 6da1c841-523e-41f0-91ba-2fd65b9b9123 · outbound

This paper cites Farkas, D.

Tropical linear series and matroids Farkas, D

Reference 19

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T15:21:45.975950Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 820366e1-fe5e-4559-9e55-632edd8e9de7 · outbound

This paper cites Incidences and tilings.

Tropical linear series and matroids Incidences and tilings

Reference 20

Resolution: verified exact; local_arxiv, observed 2026-08-05T15:21:45.750630Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 2329feff-bf0a-4f2f-a2b0-a3b65fbf1f19 · outbound

This paper cites an unresolved cited work.

Tropical linear series and matroids Unresolved cited work

Reference 21

Resolution: unresolved; raw_fallback, observed 2026-08-05T15:21:45.969069Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 17593246-1d54-4099-9366-be6d0f70034e · outbound

This paper cites Gathmann and M.

Tropical linear series and matroids Gathmann and M

Reference 22

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T15:21:45.961149Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 20e465ae-0fbc-4361-9c1a-b7e6a0cba0c4 · outbound

This paper cites Gross, F.

Tropical linear series and matroids Gross, F

Reference 23

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T15:21:45.954243Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 6621d7f0-c3c4-4c4d-a00e-11834449b93e · outbound

This paper cites an unresolved cited work.

Tropical linear series and matroids Unresolved cited work

Reference 24

Resolution: unresolved; raw_fallback, observed 2026-08-05T15:21:45.946531Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation cf3b5b98-d26c-446e-ac61-4a7b4245a772 · outbound

This paper cites Haase, G.

Tropical linear series and matroids Haase, G

Reference 25

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T15:21:45.938932Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 1cd9202a-a55e-4dcd-950d-c9a411df5258 · outbound

This paper cites The locus of B rill- N oether general graphs is not dense.

Tropical linear series and matroids The locus of B rill- N oether general graphs is not dense

Reference 26

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T15:21:45.931101Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 12381c0e-a619-4ee6-9f9b-29a5d6e7ad6c · outbound

This paper cites Jensen and S.

Tropical linear series and matroids Jensen and S

Reference 27

Resolution: unresolved; no resolver link, observed 2026-08-05T15:21:45.669304Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation e6f05d37-ee9f-49b2-bcec-81ad982fd776 · outbound

This paper cites Jensen and S.

Tropical linear series and matroids Jensen and S

Reference 28

Resolution: unresolved; no resolver link, observed 2026-08-05T15:21:45.671904Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 9cecc5c0-47a1-47df-8c1b-0494a3d6f2c0 · outbound

This paper cites Jensen and S.

Tropical linear series and matroids Jensen and S

Reference 29

Resolution: unresolved; no resolver link, observed 2026-08-05T15:21:45.674247Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 9ff16ab6-7e40-495a-b2bf-9e459b8933b6 · outbound

This paper cites Tropical Linear Series and Tropical Independence.

Tropical linear series and matroids Tropical Linear Series and Tropical Independence

Reference 30

Resolution: unresolved; no resolver link, observed 2026-08-05T15:21:45.676649Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 0ed2569f-20b8-4083-90e3-620a9d2b5039 · outbound

This paper cites an unresolved cited work.

Tropical linear series and matroids Unresolved cited work

Reference 31

Resolution: unresolved; raw_fallback, observed 2026-08-05T15:21:45.911454Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 875e24f7-3449-474a-b118-b13d9c1884ae · outbound

This paper cites an unresolved cited work.

Tropical linear series and matroids Unresolved cited work

Reference 32

Resolution: unresolved; raw_fallback, observed 2026-08-05T15:21:45.904224Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 650bf82e-d77d-4f17-83ea-488447c34851 · outbound

This paper cites Idempotent Analysis, Tropical Convexity and Reduced Divisors.

Tropical linear series and matroids Idempotent Analysis, Tropical Convexity and Reduced Divisors

Reference 33

Resolution: unresolved; no resolver link, observed 2026-08-05T15:21:45.683863Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation ed8531aa-f0ab-4830-9fe2-172775304c18 · outbound

This paper cites Maclagan and B.

Tropical linear series and matroids Maclagan and B

Reference 34

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T15:21:45.897016Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 3abd8175-c5b2-4215-a885-a961b53243e5 · outbound

This paper cites Murota and A.

Tropical linear series and matroids Murota and A

Reference 35

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T15:21:45.889508Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation a5999455-0403-4928-93b6-571acbe66087 · outbound

This paper cites M\" o ller, M.

Tropical linear series and matroids M\" o ller, M

Reference 36

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T15:21:45.882242Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 5ff8d7dc-079c-454d-971a-18940b6e148f · outbound

This paper cites Mikhalkin and I.

Tropical linear series and matroids Mikhalkin and I

Reference 37

Resolution: unresolved; no resolver link, observed 2026-08-05T15:21:45.693793Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation f56a6667-80ef-434a-b2c3-8a0c4f7e9a5f · outbound

This paper cites an unresolved cited work.

Tropical linear series and matroids Unresolved cited work

Reference 38

Resolution: unresolved; raw_fallback, observed 2026-08-05T15:21:45.869706Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 68d957bc-45b0-4a5c-a92f-4bbff39df0dc · outbound

This paper cites Robinson.

Tropical linear series and matroids Robinson

Reference 39

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T15:21:45.862343Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 050f7f8f-7645-4efc-9d63-30785e73a63c · outbound

This paper cites an unresolved cited work.

Tropical linear series and matroids Unresolved cited work

Reference 40

Resolution: unresolved; raw_fallback, observed 2026-08-05T15:21:45.854875Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation f34d22a8-1a5a-4b5f-97f3-de02b0fde314 · outbound

This paper cites an unresolved cited work.

Tropical linear series and matroids Unresolved cited work

Reference 41

Resolution: unresolved; raw_fallback, observed 2026-08-05T15:21:45.847405Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation a8bc7a05-8367-418a-acf9-b8776702ea1a · outbound

This paper cites White, editor.

Tropical linear series and matroids White, editor

Reference 42

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T15:21:45.839363Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Pith citing papers

Observation bc4777e5-9db3-42c5-8296-58af476b0c74 · inbound

Relating Different Definitions of Linear Series on Tropical Curves cites this paper.

Relating Different Definitions of Linear Series on Tropical Curves Tropical linear series and matroids

Reference 5

Resolution: unresolved; no resolver link, observed 2026-08-15T19:38:02.063148Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 564fa1bc-03a0-469a-80ed-a553ca518706 · inbound

Asymptotic Behavior of Tropical Rank Functions cites this paper.

Asymptotic Behavior of Tropical Rank Functions Tropical linear series and matroids

Reference 1

Resolution: verified exact; arxiv_id, observed 2026-05-11T09:56:04.661642Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 4b3a1e62-fa50-4241-a1a2-fa6061a8aec2 · inbound

Asymptotic Behavior of Tropical Rank Functions cites this paper.

Asymptotic Behavior of Tropical Rank Functions Tropical linear series and matroids

Reference 1

Resolution: verified exact; arxiv_id, observed 2026-05-22T11:26:28.801895Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.