Paper Citation Record · LEDGER

Computing zero-dimensional tropical varieties via projections

As of 16 August 2026, this Paper Citation Record lists 11 of 11 outbound references and 1 inbound Pith citation observation for arXiv:1908.03486.

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

pith.paper-citation-record.v1
1908.03486 v1

Coverage vector

measured 11 of 11 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-14T14:22:52.536159Z

measured 12 of 12 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-15T06:32:42.880941+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-14T13:06:24.255710Z

measured 0 of 1 external citation measurements

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

Source: pith, observed 2026-08-14T13:06:24.377806Z

Reference resolution

11 of 11 outbound references displayed

verified exact0
verified fuzzy8
unresolved2
parse uncertain0
malformed identifier0
metadata mismatch1

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation c4ec0ac9-9c51-4457-99d6-03fc5ade78da · outbound

This paper cites Log-barrier inte- rior point methods are not strongly polynomial.

Computing zero-dimensional tropical varieties via projections Log-barrier inte- rior point methods are not strongly polynomial

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T14:22:52.865017Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 631cc339-d69c-43e7-88c3-1b105736a840 · outbound

This paper cites Tropical Geometry of Phylogenetic Tree Space: A Statistical Perspective.

Computing zero-dimensional tropical varieties via projections Tropical Geometry of Phylogenetic Tree Space: A Statistical Perspective

Reference 7

Resolution: unresolved; no resolver link, observed 2026-08-14T14:22:52.493907Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation cd4f1775-3a24-4c2e-840f-4badad6f5482 · outbound

This paper cites The discriminant of a cubic surface.

Computing zero-dimensional tropical varieties via projections The discriminant of a cubic surface

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T14:22:52.772900Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 2165843b-d566-49dd-8d4e-29bbdea7079b · outbound

This paper cites Finiteness of spatial cent ral conﬁgurations in the ﬁve-body problem.

Computing zero-dimensional tropical varieties via projections Finiteness of spatial cent ral conﬁgurations in the ﬁve-body problem

Reference 29

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T14:22:52.742474Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation e112c1b3-07bd-4c4f-8a8e-a25e57a03098 · outbound

This paper cites The Magma alge bra system. I. The user language.

Computing zero-dimensional tropical varieties via projections The Magma alge bra system. I. The user language

Reference 73

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T14:22:52.831684Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 0e01ff41-30ed-4791-a5e4-79f75059eb34 · outbound

This paper cites On the complexity of zer o-dimensional algebraic systems.

Computing zero-dimensional tropical varieties via projections On the complexity of zer o-dimensional algebraic systems

Reference 94

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T14:22:52.716720Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 1af87a90-60d4-4768-adbd-df08eb8d4a7a · outbound

This paper cites Product-Mix Auctions and Tropical Geometry.

Computing zero-dimensional tropical varieties via projections Product-Mix Auctions and Tropical Geometry

Reference 97

Resolution: metadata mismatch; local_arxiv, observed 2026-08-14T14:22:52.600893Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation a1bd8d93-b582-4af8-a03e-e7e209732f4d · outbound

This paper cites Enumerative tropical algebraic geo metry in R2.

Computing zero-dimensional tropical varieties via projections Enumerative tropical algebraic geo metry in R2

Reference 161

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T14:22:52.693743Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation d300adc6-a534-42c4-ab70-41ec10bd6e48 · outbound

This paper cites Springer, Ne w York, 2005, pp.

Computing zero-dimensional tropical varieties via projections Springer, Ne w York, 2005, pp

Reference 185

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T14:22:52.797531Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 4e774fa6-1141-43b7-9179-82d3de4d1707 · outbound

This paper cites Tropical Lines on Cubic Surfaces.

Computing zero-dimensional tropical varieties via projections Tropical Lines on Cubic Surfaces

Reference 1999

Resolution: unresolved; no resolver link, observed 2026-08-14T14:22:52.511895Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation f597c16e-0f0c-41b4-b80f-9680cc944f11 · outbound

This paper cites The tropical Grassmanni an.

Computing zero-dimensional tropical varieties via projections The tropical Grassmanni an

Reference 2019

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T14:22:52.668393Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Pith citing papers

Observation 34b886ca-27b3-44c5-9f41-f2ca13f32912 · inbound

An Octanomial Model for Cubic Surfaces cites this paper.

An Octanomial Model for Cubic Surfaces Computing zero-dimensional tropical varieties via projections

Reference 7

Resolution: verified exact; local_arxiv, observed 2026-08-14T13:06:24.383813Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.