Paper Citation Record · LEDGER

Representation theory over semifields

As of 18 August 2026, this Paper Citation Record lists 13 of 13 outbound references and 0 inbound Pith citation observations for arXiv:2411.19883.

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

pith.paper-citation-record.v1
2411.19883 v3

Coverage vector

measured 13 of 13 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-12T05:56:42.674622Z

measured 13 of 13 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 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

13 of 13 outbound references displayed

verified exact3
verified fuzzy7
unresolved3
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation c19333ae-c98c-4a68-9505-a325a3d11197 · outbound

This paper cites Facets of module theory over semirings.

Representation theory over semifields Facets of module theory over semirings

Reference 1

Resolution: verified exact; local_arxiv, observed 2026-08-12T05:56:42.779742Z

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 24407dfd-19ce-4cd0-a8d3-29c286e4ac70 · outbound

This paper cites A module-theoretic approach to matroids.

Representation theory over semifields A module-theoretic approach to matroids

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T05:56:42.890748Z

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 71833e36-c4f6-4eb3-99cf-2c824e641df8 · outbound

This paper cites Equations of tropical varieties.

Representation theory over semifields Equations of tropical varieties

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T05:56:42.875483Z

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 8bfd8be0-eb1b-4343-8dfd-2bd24c5c896e · outbound

This paper cites A G rassmann algebra for matroids.

Representation theory over semifields A G rassmann algebra for matroids

Reference 4

Resolution: unresolved; no resolver link, observed 2026-08-12T05:56:42.634666Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation d5f8d7d3-0428-4942-baf9-32dde4c1b8ff · outbound

This paper cites Prime congruences of additively idempotent semirings and a nullstellensatz for tropical polynomials.

Representation theory over semifields Prime congruences of additively idempotent semirings and a nullstellensatz for tropical polynomials

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T05:56:42.851648Z

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 8a903fb7-25fc-4f53-a060-a7200a0c17a7 · outbound

This paper cites Vector bundles on tropical schemes.

Representation theory over semifields Vector bundles on tropical schemes

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T05:56:42.837323Z

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 656031b5-7f76-410f-be26-474d27c2e676 · outbound

This paper cites Equivariant vector bundles on toric schemes over semirings.

Representation theory over semifields Equivariant vector bundles on toric schemes over semirings

Reference 7

Resolution: verified exact; local_arxiv, observed 2026-08-12T05:56:42.762863Z

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 2ce816aa-fe43-44b8-a894-beda42f2253c · outbound

This paper cites Tropical representations and valuated matroids.

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 21ff7714-be7a-4400-9fcf-f20e3692f530 · outbound

This paper cites Matroidal representations.

Representation theory over semifields Matroidal representations

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T05:56:42.822811Z

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 61febc5d-7407-4318-9ebd-ac22ebbff239 · outbound

This paper cites A unifying approach to tropicalization.

Representation theory over semifields A unifying approach to tropicalization

Reference 10

Resolution: unresolved; no resolver link, observed 2026-08-12T05:56:42.661564Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation de8fa743-f354-4fb4-8f9b-f830db7068cd · outbound

This paper cites Tropical ideals.

Representation theory over semifields Tropical ideals

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T05:56:42.808987Z

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 3d77d441-8b39-4cab-80a2-8735ae4f4354 · outbound

This paper cites Tropical schemes, tropical cycles, and valuated matroids.

Representation theory over semifields Tropical schemes, tropical cycles, and valuated matroids

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T05:56:42.795094Z

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 889c9e8f-204c-42f5-a1fc-c358b0a1355b · outbound

This paper cites An informal overview of triples and systems.

Representation theory over semifields An informal overview of triples and systems

Reference 13

Resolution: verified exact; local_arxiv, observed 2026-08-12T05:56:42.716644Z

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

No inbound Pith citation observations are available.