Paper Citation Record · LEDGER

Relating Different Definitions of Linear Series on Tropical Curves

As of 20 August 2026, this Paper Citation Record lists 13 of 13 outbound references and 0 inbound Pith citation observations for arXiv:2506.16333.

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

pith.paper-citation-record.v1
2506.16333 v3

Coverage vector

measured 13 of 13 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-15T19:38:02.102278Z

measured 13 of 13 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

13 of 13 outbound references displayed

verified exact2
verified fuzzy6
unresolved5
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation e35e90f9-97f1-4f1b-888e-5fa56369d51b · outbound

This paper cites Limit linear series: combinatorial theory.

Relating Different Definitions of Linear Series on Tropical Curves Limit linear series: combinatorial theory

Reference 1

Resolution: unresolved; no resolver link, observed 2026-08-15T19:38:02.041733Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation df234ce7-745c-43f2-9a2e-52f12ddc196a · outbound

This paper cites Combinatorial flag arrangements.

Relating Different Definitions of Linear Series on Tropical Curves Combinatorial flag arrangements

Reference 2

Resolution: verified exact; local_arxiv, observed 2026-08-15T19:38:02.350955Z

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 c12c414d-3c9d-4456-a096-9cb540be7ad7 · outbound

This paper cites R iemann-- R och and A bel-- J acobi theory on a finite graph.

Relating Different Definitions of Linear Series on Tropical Curves R iemann-- R och and A bel-- J acobi theory on a finite graph

Reference 3

Resolution: unresolved; no resolver link, observed 2026-08-15T19:38:02.052687Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 74c0e351-e708-4763-a99b-99063de12406 · outbound

This paper cites Intersections of S chubert varieties and other permutation array schemes.

Relating Different Definitions of Linear Series on Tropical Curves Intersections of S chubert varieties and other permutation array schemes

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T19:38:02.465877Z

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 bc4777e5-9db3-42c5-8296-58af476b0c74 · outbound

This paper cites Tropical linear series and matroids.

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 341bdccd-0ca2-4612-94b7-c43938be906f · outbound

This paper cites A tropical proof of the B rill-- N oether theorem.

Relating Different Definitions of Linear Series on Tropical Curves A tropical proof of the B rill-- N oether theorem

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T19:38:02.447714Z

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 3289b98d-a463-4337-989c-d068c0749864 · outbound

This paper cites A combinatorial theory of higher-dimensional permutation arrays.

Relating Different Definitions of Linear Series on Tropical Curves A combinatorial theory of higher-dimensional permutation arrays

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T19:38:02.431237Z

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 2387f4f4-1036-46f0-8d49-547b4bb81ee1 · outbound

This paper cites The K odaira dimensions of M _ 22 and M _ 23.

Relating Different Definitions of Linear Series on Tropical Curves The K odaira dimensions of M _ 22 and M _ 23

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T19:38:02.414881Z

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 cdd11621-9a3a-4a5e-a593-3dda1e86109e · outbound

This paper cites A R iemann-- R och theorem in tropical geometry.

Relating Different Definitions of Linear Series on Tropical Curves A R iemann-- R och theorem in tropical geometry

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T19:38:02.399241Z

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 e3238ea7-a575-4b56-9fb3-80f35ff726f2 · outbound

This paper cites Tropical Linear Series and Tropical Independence.

Relating Different Definitions of Linear Series on Tropical Curves Tropical Linear Series and Tropical Independence

Reference 10

Resolution: unresolved; no resolver link, observed 2026-08-15T19:38:02.087265Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 735f4365-7695-4ce3-b843-688b00e5112f · outbound

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

Relating Different Definitions of Linear Series on Tropical Curves Idempotent Analysis, Tropical Convexity and Reduced Divisors

Reference 11

Resolution: unresolved; no resolver link, observed 2026-08-15T19:38:02.092065Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation b9d3391e-d97e-401c-b94e-eabdd4b30d6e · outbound

This paper cites Tropical curves, their J acobians and theta functions.

Relating Different Definitions of Linear Series on Tropical Curves Tropical curves, their J acobians and theta functions

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T19:38:02.383442Z

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 b7233350-9b6d-43e9-9ee7-a0eae207fbdc · outbound

This paper cites Lorentzian polynomials and the incidence geometry of tropical linear spaces.

Relating Different Definitions of Linear Series on Tropical Curves Lorentzian polynomials and the incidence geometry of tropical linear spaces

Reference 13

Resolution: verified exact; raw_fallback, observed 2026-08-15T19:38:02.281901Z

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.