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Paper Citation Record · LEDGER

Integrand Reduction for Two-Loop Scattering Amplitudes through Multivariate Polynomial Division

As of 4 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 2 inbound Pith citation observations for arXiv:1209.4319.

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

pith.paper-citation-record.v1
1209.4319 v2

Coverage vector

measured 0 of 0 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links

measured 2 of 2 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-04T06:34:03.388597+00:00

measured 2 of 2 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-06-29T03:47:21.331582Z

measured 0 of 1 external citation measurements

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

Source: pith, observed 2026-07-01T17:25:51.098239Z

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 4ab9b3ca-1765-4954-b5a9-2887628ecabf · inbound

A numerical evaluation of planar two-loop helicity amplitudes for a W-boson plus four partons cites this paper.

A numerical evaluation of planar two-loop helicity amplitudes for a W-boson plus four partons Integrand Reduction for Two-Loop Scattering Amplitudes through Multivariate Polynomial Division

Reference 51

Resolution
verified exact
local_arxiv, observed 2026-05-25T14:35:57.024060Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

source=pdf_text observed=2026-05-25T14:33:24.617847Z digest=sha256:370d9aeffff80af1304a276896671b306953ed4b6c277a902e1c17171137a9aa

Observation 0c87f2db-cb1c-48b5-8d7a-b7c277f659be · inbound

Planar loop integrands from cuts in $D$ dimensions cites this paper.

Planar loop integrands from cuts in $D$ dimensions Integrand Reduction for Two-Loop Scattering Amplitudes through Multivariate Polynomial Division

Reference 48

Resolution
verified exact
local_arxiv, observed 2026-07-01T17:25:51.100095Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

source=pdf_text observed=2026-06-29T03:47:21.331582Z digest=sha256:6d061b521d7a4a997e41d13c6b2b9d62fa3a93f9bf324c18cdb84a8c19bce7a6