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Paper Citation Record · LEDGER

Direct numerical integration for multi-loop integrals

As of 9 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 2 inbound Pith citation observations for arXiv:1211.0509.

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

pith.paper-citation-record.v1
1211.0509 v3

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 2026-08-09T06:31:02.800959+00:00

measured 2 of 2 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-06T18:56:41.416634Z

measured 0 of 1 external citation measurements

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

Source: pith, observed 2026-08-04T21:50:31.179520Z

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 d8c039cc-576e-48b9-b909-3a021b7c5452 · inbound

Cosmological phase transitions without high-temperature expansions cites this paper.

Cosmological phase transitions without high-temperature expansions Direct numerical integration for multi-loop integrals

Reference 121

Resolution
unresolved
no resolver link, observed 2026-08-06T18:56:41.416634Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T18:56:41.416634Z digest=sha256:42ec45d467c3eba996db9ae78fa02d0d390be5799e8c9b7bc517ea8b6a15c984

Observation ebaf7ed2-8575-4851-a0d6-6ec01ee1d64a · inbound

General finite two-loop amplitude integrand for photoproduction in quark annihilation cites this paper.

General finite two-loop amplitude integrand for photoproduction in quark annihilation Direct numerical integration for multi-loop integrals

Reference 48

Resolution
verified exact
local_arxiv, observed 2026-08-04T21:50:31.183062Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-04T21:50:31.054418Z digest=sha256:b0c6671c77ed3ffd3b20b77ce55c5d766aab856b69b008ffed6b81371a505514