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Paper Citation Record · LEDGER

On tropical dualities in cluster algebras

As of 11 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 1 inbound Pith citation observation for arXiv:1101.3736.

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

pith.paper-citation-record.v1
1101.3736 v3

Coverage vector

measured 0 of 0 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links

measured 1 of 1 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-11T06:34:44.6726+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-10T14:06:14.421147Z

measured 0 of 1 external citation measurements

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

Source: pith, observed 2026-08-10T14:06:14.653892Z

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 ab78d6b0-5ee8-4f8e-a953-b1c561cbe187 · inbound

From green mutation to $\mathrm{X}$-evolution: flows and foliations on cluster complexes cites this paper.

From green mutation to $\mathrm{X}$-evolution: flows and foliations on cluster complexes On tropical dualities in cluster algebras

Reference 23

Resolution
verified exact
local_arxiv, observed 2026-08-10T14:06:14.658874Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=arxiv_source observed=2026-08-10T14:06:14.421147Z digest=sha256:d3e142b1c02476ac5e6c0f86669e7976475f7f9956b9b0db8c96f9d80bece982