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Paper Citation Record · LEDGER

Factorization of polynomials in one variable over the tropical semiring

As of 19 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 3 inbound Pith citation observations for arXiv:math/0501167.

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

pith.paper-citation-record.v1
math/0501167 v2

Coverage vector

measured 0 of 0 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links

measured 3 of 3 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 3 of 3 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-14T14:15:08.902812Z

measured 0 of 1 external citation measurements

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

Source: pith, observed 2026-08-11T20:28:37.861425Z

Reference resolution

0 of 0 outbound references displayed

  • verified exact0
  • verified fuzzy0
  • unresolved0
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

No outbound reference observations are available for this paper version.

Pith citing papers

Observation bb5154b6-2a08-4c4b-ae16-770bc52a2cc0 · inbound

Tropical Ehrhart Theory and Tropical Volume cites this paper.

Tropical Ehrhart Theory and Tropical Volume Factorization of polynomials in one variable over the tropical semiring

Reference 31

Resolution
unresolved
no resolver link, observed 2026-08-14T12:18:36.009618Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-14T12:18:36.009618Z digest=sha256:50c3f8860ce91d2bd24f539094c4a789e7663028888878772ad6a9653dd4c189

Observation 5fc9c8d8-f7bc-441a-b76d-c180b6547cc8 · inbound

On primality and atomicity of numerical power monoids cites this paper.

On primality and atomicity of numerical power monoids Factorization of polynomials in one variable over the tropical semiring

Reference 12

Resolution
verified exact
local_arxiv, observed 2026-08-11T20:28:37.869384Z

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.

source=pdf_text observed=2026-08-11T20:28:37.528815Z digest=sha256:6295ffaa2bf0a143c5a131f89e2159873715add3058b19f00126051df7158f5d

Observation 6579b8de-50eb-4dc1-b045-193da5753c12 · inbound

On the Structure of $(\min,+)$ Convolution cites this paper.

On the Structure of $(\min,+)$ Convolution Factorization of polynomials in one variable over the tropical semiring

Reference 24

Resolution
unresolved
no resolver link, observed 2026-08-14T14:15:08.902812Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-14T14:15:08.902812Z digest=sha256:f9522a91f84a4c236057e346e82dcaa156acd781ff941fdfac02fc017cc0c73c