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Paper Citation Record · LEDGER

Loop Tree Duality for multi-loop numerical integration

As of 19 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 5 inbound Pith citation observations for arXiv:1906.06138.

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

pith.paper-citation-record.v1
1906.06138 v1

Coverage vector

measured 0 of 0 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links

measured 5 of 5 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 5 of 5 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-16T05:23:08.361855Z

measured 0 of 1 external citation measurements

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

Source: pith, observed 2026-08-04T21:50:31.432141Z

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 52ade74d-aef4-4aa9-90f5-e17a4cc4dfc2 · inbound

Classical worldlines from scattering amplitudes cites this paper.

Classical worldlines from scattering amplitudes Loop Tree Duality for multi-loop numerical integration

Reference 95

Resolution
unresolved
no resolver link, observed 2026-08-11T15:36:20.031190Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-11T15:36:20.031190Z digest=sha256:cb9bdb37602975a61e7010d5cfa348ca3b473757383bc53746907d3bb1a615b2

Observation 88e00bfc-0e43-437a-b22a-c63229dac60e · inbound

Integral of the double-emission eikonal function for a massive and a massless emitter at an arbitrary angle cites this paper.

Integral of the double-emission eikonal function for a massive and a massless emitter at an arbitrary angle Loop Tree Duality for multi-loop numerical integration

Reference 52

Resolution
unresolved
no resolver link, observed 2026-08-16T05:23:08.361855Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-16T05:23:08.361855Z digest=sha256:43b7a79aabe3c15cc6a4d56ed0b80e13cf67bae323b4e085fdee4a26d50f366e

Observation 87d1f9df-b0ff-4948-afb9-7115e97209f8 · inbound

Unlocking Multidimensional Integration with Quantum Adaptive Importance Sampling cites this paper.

Unlocking Multidimensional Integration with Quantum Adaptive Importance Sampling Loop Tree Duality for multi-loop numerical integration

Reference 72

Resolution
unresolved
no resolver link, observed 2026-08-15T18:29:38.482439Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-15T18:29:38.482439Z digest=sha256:ba3d81824f07250b4ac528e5b290090640239194fe485fbd09c98d79b5e52ebc

Observation 77d08867-26d5-481a-8e74-6d719423f5a8 · inbound

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

Cosmological phase transitions without high-temperature expansions Loop Tree Duality for multi-loop numerical integration

Reference 115

Resolution
unresolved
no resolver link, observed 2026-08-06T18:56:41.382726Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T18:56:41.382726Z digest=sha256:53cd226605c13f46a2fdf11c3446fdb4c0d35ca760603fabb6bdcdb931d880ba

Observation b64919f3-49d1-4736-a731-dc4b38989cb9 · 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 Loop Tree Duality for multi-loop numerical integration

Reference 27

Resolution
verified exact
local_arxiv, observed 2026-08-04T21:50:31.436117Z

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=2026-08-04T21:50:29.994519Z digest=sha256:9adddfe1c3f1ce773aad44a35302dd7510f06c9d311a7785b095bb3cb832a3ba