Paper Citation Record · LEDGER

Tropical representations and valuated matroids

As of 20 August 2026, this Paper Citation Record lists 20 of 20 outbound references and 2 inbound Pith citation observations for arXiv:2411.19889.

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

pith.paper-citation-record.v1
2411.19889 v1

Coverage vector

measured 20 of 20 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-12T05:56:44.138182Z

measured 22 of 22 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-20T06:33:59.587034+00:00

measured 2 of 2 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-12T05:56:42.653575Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-07-04T00:59:20.134115Z

Reference resolution

20 of 20 outbound references displayed

verified exact0
verified fuzzy10
unresolved10
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 4eeca2ab-dbfe-4af2-a2b2-2ae4109b2ae4 · outbound

This paper cites Facets of module theory over semirings.

Tropical representations and valuated matroids Facets of module theory over semirings

Reference 1

Resolution: unresolved; no resolver link, observed 2026-08-12T05:56:44.059918Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation d0d91701-2116-4f61-8e42-428b62fe1722 · outbound

This paper cites Cohomology of groups , volume 87.

Tropical representations and valuated matroids Cohomology of groups , volume 87

Reference 2

Resolution: unresolved; no resolver link, observed 2026-08-12T05:56:44.064438Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation f85efa93-9971-4f1a-8585-b5e792805bd6 · outbound

This paper cites Valuated matroids.

Tropical representations and valuated matroids Valuated matroids

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T05:56:44.360809Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation bec0cffe-ecc9-4463-a068-fb78475755bd · outbound

This paper cites Tropical cycles and C how polytopes.

Tropical representations and valuated matroids Tropical cycles and C how polytopes

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T05:56:44.348592Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 467c05a8-caf8-4a2e-8154-fc8798c23ac3 · outbound

This paper cites Tropical varieties, maps and gossip.

Tropical representations and valuated matroids Tropical varieties, maps and gossip

Reference 5

Resolution: unresolved; no resolver link, observed 2026-08-12T05:56:44.077090Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 3afd422f-1aa8-412d-bcd9-2e0d0103764d · outbound

This paper cites Equations of tropical varieties.

Tropical representations and valuated matroids Equations of tropical varieties

Reference 6

Resolution: unresolved; no resolver link, observed 2026-08-12T05:56:44.081695Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 0f66c70e-7b07-45d0-9003-c11ab0c22294 · outbound

This paper cites A G rassmann algebra for matroids.

Tropical representations and valuated matroids A G rassmann algebra for matroids

Reference 7

Resolution: unresolved; no resolver link, observed 2026-08-12T05:56:44.085749Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 3ac770a3-5235-477a-9b2c-3f5a61bd58ab · outbound

This paper cites Matroidal representations of groups.

Tropical representations and valuated matroids Matroidal representations of groups

Reference 8

Resolution: unresolved; no resolver link, observed 2026-08-12T05:56:44.090184Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 0d5fc0bf-5e23-42dc-94cb-def88984321f · outbound

This paper cites Methods and applications of (max,+) linear algebra.

Tropical representations and valuated matroids Methods and applications of (max,+) linear algebra

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T05:56:44.310035Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 8c97f2be-d94b-4f40-bd9b-bd3f7b2049bd · outbound

This paper cites On the automorphism group of a cone.

Tropical representations and valuated matroids On the automorphism group of a cone

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T05:56:44.297821Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation e3b031a4-0911-499b-8aa5-1f03fadf73c9 · outbound

This paper cites Tropical Quiver Grassmannians.

Tropical representations and valuated matroids Tropical Quiver Grassmannians

Reference 11

Resolution: unresolved; no resolver link, observed 2026-08-12T05:56:44.102315Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation a94de358-ab77-413f-ba36-462e3820486f · outbound

This paper cites Quiver matroids -- Matroid morphisms, quiver Grassmannians, their Euler characteristics and $\mathbb{F}_1$-points.

Tropical representations and valuated matroids Quiver matroids -- Matroid morphisms, quiver Grassmannians, their Euler characteristics and $\mathbb{F}_1$-points

Reference 12

Resolution: unresolved; no resolver link, observed 2026-08-12T05:56:44.106342Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 3ba5d048-7f8b-47dd-9720-5854145fcfcd · outbound

This paper cites Vector bundles on tropical schemes.

Tropical representations and valuated matroids Vector bundles on tropical schemes

Reference 13

Resolution: unresolved; no resolver link, observed 2026-08-12T05:56:44.111218Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 3041ab5b-43cf-4cb7-bc35-1efe63f769c9 · outbound

This paper cites Representation theory over semifields and matroidal representations.

Tropical representations and valuated matroids Representation theory over semifields and matroidal representations

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T05:56:44.278390Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 95b4de88-df97-478a-a396-5a828af93b85 · outbound

This paper cites Th \'e orie alg \'e brique des syst \`e mes \`a \'e v \'e nements discrets.

Tropical representations and valuated matroids Th \'e orie alg \'e brique des syst \`e mes \`a \'e v \'e nements discrets

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T05:56:44.264908Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation aaae21b1-79b6-488f-ac1f-f6016211aedb · outbound

This paper cites Tropical subrepresentations of the boolean regular representation in low dimension.

Tropical representations and valuated matroids Tropical subrepresentations of the boolean regular representation in low dimension

Reference 16

Resolution: unresolved; no resolver link, observed 2026-08-12T05:56:44.121875Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 02ee54c2-88dd-4bc4-a5b6-49f732272965 · outbound

This paper cites Introduction to tropical geometry , volume 161.

Tropical representations and valuated matroids Introduction to tropical geometry , volume 161

Reference 17

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T05:56:44.253055Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 5f843b03-0f66-4eff-b17c-0d411d20031c · outbound

This paper cites Zeta functions of graphs: a stroll through the garden , volume 128.

Tropical representations and valuated matroids Zeta functions of graphs: a stroll through the garden , volume 128

Reference 18

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T05:56:44.241744Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation ead839fe-b467-42a0-809d-e310903498cf · outbound

This paper cites Modul\"oids and pseudomodules 1.

Tropical representations and valuated matroids Modul\"oids and pseudomodules 1

Reference 19

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T05:56:44.228726Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 7780eaa8-d58c-4f59-88eb-d0806d149f6d · outbound

This paper cites An introduction to homological algebra.

Tropical representations and valuated matroids An introduction to homological algebra

Reference 20

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T05:56:44.215021Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Pith citing papers

Observation 2ce816aa-fe43-44b8-a894-beda42f2253c · inbound

Representation theory over semifields cites this paper.

Representation theory over semifields Tropical representations and valuated matroids

Reference 8

Resolution: unresolved; no resolver link, observed 2026-08-12T05:56:42.653575Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 5d5f62af-b41d-4eb6-98ca-090155b2cdbb · inbound

Closure operators and geometric modules of valuated matroids cites this paper.

Closure operators and geometric modules of valuated matroids Tropical representations and valuated matroids

Reference 16

Resolution: verified exact; arxiv_id, observed 2026-07-04T00:59:20.137301Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.