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Paper Citation Record · LEDGER

Prime Ideal Races With Several Competitors

As of 11 August 2026, this Paper Citation Record lists 1 of 1 outbound references and 1 inbound Pith citation observation for arXiv:2508.04087.

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

pith.paper-citation-record.v1
2508.04087 v2

Coverage vector

measured 1 of 1 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-06T00:55:48.499094Z

measured 2 of 2 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 2026-08-01T03:37:44.183070Z

measured 0 of 1 external citation measurements

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

Source: cited_works

Reference resolution

1 of 1 outbound references displayed

  • verified exact1
  • verified fuzzy0
  • unresolved0
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 402027d8-5471-4633-a35f-6889d7b3ca8e · outbound

This paper cites ToolGrad: Efficient Tool-use Dataset Generation with Textual "Gradients".

Prime Ideal Races With Several Competitors ToolGrad: Efficient Tool-use Dataset Generation with Textual "Gradients"

Reference 1

Resolution
verified exact
local_arxiv, observed 2026-08-06T00:55:48.789720Z

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=pdf_text observed=2026-08-06T00:55:48.499094Z digest=sha256:e57dfad3319b262bfdff8724ab507f10e6e06f9a7fd30907b56218f4a92a3db9

Pith citing papers

Observation 3175bc7f-26d1-41cd-9872-7decee4b5817 · inbound

On the role of higher roots in prime ideal races cites this paper.

On the role of higher roots in prime ideal races Prime Ideal Races With Several Competitors

Reference 3

Resolution
unresolved
no resolver link, observed 2026-08-01T03:37:44.183070Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-01T03:37:44.183070Z digest=sha256:8fc82371954ca2cebcb6b4862343b52ec0cf58ffc96a2eb9e80df736a1af6feb