Paper Citation Record · LEDGER

TVID 2: Evaluation of planar-type three-loop self-energy integrals with arbitrary masses

As of 21 August 2026, this Paper Citation Record lists 26 of 26 outbound references and 1 inbound Pith citation observation for arXiv:1908.09887.

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

pith.paper-citation-record.v1
1908.09887 v2

Coverage vector

measured 26 of 26 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-14T11:05:25.869181Z

measured 27 of 27 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-21T06:32:19.484+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-03T15:49:37.190619Z

measured 0 of 1 external citation measurements

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

Source: cited_works

Reference resolution

26 of 26 outbound references displayed

verified exact3
verified fuzzy3
unresolved18
parse uncertain0
malformed identifier1
metadata mismatch1

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation e859594e-c5d6-4676-b2bb-aa306a987816 · outbound

This paper cites Numerical multi-loop integrals and applications.

TVID 2: Evaluation of planar-type three-loop self-energy integrals with arbitrary masses Numerical multi-loop integrals and applications

Reference 1

Resolution: unresolved; no resolver link, observed 2026-08-14T11:05:25.723503Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation daf2ac0a-735f-4fc7-aff4-d162e723aa4a · outbound

This paper cites Harmonic Polylogarithms.

TVID 2: Evaluation of planar-type three-loop self-energy integrals with arbitrary masses Harmonic Polylogarithms

Reference 2

Resolution: unresolved; no resolver link, observed 2026-08-14T11:05:25.730650Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation f8706740-6ecf-434b-b5ba-7943303bb10b · outbound

This paper cites Multiple polylogarithms, cyclotomy and modular complexes.

TVID 2: Evaluation of planar-type three-loop self-energy integrals with arbitrary masses Multiple polylogarithms, cyclotomy and modular complexes

Reference 3

Resolution: unresolved; no resolver link, observed 2026-08-14T11:05:25.735994Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation d2ac4c3e-7956-4f40-95c5-3444b78383fd · outbound

This paper cites Towards multiple elliptic polylogarithms.

TVID 2: Evaluation of planar-type three-loop self-energy integrals with arbitrary masses Towards multiple elliptic polylogarithms

Reference 4

Resolution: unresolved; no resolver link, observed 2026-08-14T11:05:25.741719Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 3460637a-d296-4b8b-ab86-92323c7bf890 · outbound

This paper cites Large scale analytic calculations in quantum field theories.

TVID 2: Evaluation of planar-type three-loop self-energy integrals with arbitrary masses Large scale analytic calculations in quantum field theories

Reference 5

Resolution: unresolved; no resolver link, observed 2026-08-14T11:05:25.747163Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation f8ab9ab2-e9ec-4dc0-8ec7-a78ee3f314f5 · outbound

This paper cites SecDec: A general program for sector decomposition.

TVID 2: Evaluation of planar-type three-loop self-energy integrals with arbitrary masses SecDec: A general program for sector decomposition

Reference 6

Resolution: verified exact; local_arxiv, observed 2026-08-14T11:05:26.239140Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation efe583b6-98e3-4aa7-a3dc-c9ae405d5a06 · outbound

This paper cites Feynman Integral Evaluation by a Sector decomposiTion Approach (FIESTA).

TVID 2: Evaluation of planar-type three-loop self-energy integrals with arbitrary masses Feynman Integral Evaluation by a Sector decomposiTion Approach (FIESTA)

Reference 7

Resolution: unresolved; no resolver link, observed 2026-08-14T11:05:25.759063Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 51fa0843-a5b5-40ea-9a27-ba3efa171cdd · outbound

This paper cites FIESTA 4: optimized Feynman integral calculations with GPU support.

TVID 2: Evaluation of planar-type three-loop self-energy integrals with arbitrary masses FIESTA 4: optimized Feynman integral calculations with GPU support

Reference 8

Resolution: unresolved; no resolver link, observed 2026-08-14T11:05:25.765196Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation ac7ab56e-d71f-4ded-abb1-c4b152458142 · outbound

This paper cites AMBRE - a Mathematica package for the construction of Mellin-Barnes representations for Feynman integrals.

TVID 2: Evaluation of planar-type three-loop self-energy integrals with arbitrary masses AMBRE - a Mathematica package for the construction of Mellin-Barnes representations for Feynman integrals

Reference 9

Resolution: unresolved; no resolver link, observed 2026-08-14T11:05:25.770438Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 6e53e591-c314-45de-b803-0f45e34e185f · outbound

This paper cites Three-loop vacuum integrals with arbitrary masses.

TVID 2: Evaluation of planar-type three-loop self-energy integrals with arbitrary masses Three-loop vacuum integrals with arbitrary masses

Reference 10

Resolution: metadata mismatch; local_arxiv, observed 2026-08-14T11:05:26.144972Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 12a6612c-ad21-4241-abdc-cbf57e4dd4b6 · outbound

This paper cites TVID: Three-loop Vacuum Integrals from Dispersion relations.

TVID 2: Evaluation of planar-type three-loop self-energy integrals with arbitrary masses TVID: Three-loop Vacuum Integrals from Dispersion relations

Reference 11

Resolution: verified exact; local_arxiv, observed 2026-08-14T11:05:26.116685Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation bdfa31cb-6d85-4b2b-b9ea-d12d8e1accd7 · outbound

This paper cites Evaluation of the general 3-loop vacuum Feynman integral.

TVID 2: Evaluation of planar-type three-loop self-energy integrals with arbitrary masses Evaluation of the general 3-loop vacuum Feynman integral

Reference 12

Resolution: unresolved; no resolver link, observed 2026-08-14T11:05:25.788193Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation ff10c9ed-f9ae-4583-8a80-f56229daf2ca · outbound

This paper cites Analytical and numerical methods for massive two-loop self-energy diagrams.

TVID 2: Evaluation of planar-type three-loop self-energy integrals with arbitrary masses Analytical and numerical methods for massive two-loop self-energy diagrams

Reference 13

Resolution: unresolved; no resolver link, observed 2026-08-14T11:05:25.798460Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation b20dea4d-47e2-4cf9-88fb-931de82c4c2a · outbound

This paper cites Simple one-dimensional integral representations for two-loop self-energies: the master diagram.

TVID 2: Evaluation of planar-type three-loop self-energy integrals with arbitrary masses Simple one-dimensional integral representations for two-loop self-energies: the master diagram

Reference 14

Resolution: unresolved; no resolver link, observed 2026-08-14T11:05:25.804621Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 6300f7fb-e663-44fd-bfe0-844ee6860702 · outbound

This paper cites On the evaluation of three--loop scalar integrals in the massive case.

TVID 2: Evaluation of planar-type three-loop self-energy integrals with arbitrary masses On the evaluation of three--loop scalar integrals in the massive case

Reference 15

Resolution: verified exact; local_arxiv, observed 2026-08-14T11:05:26.031219Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 5a2a756c-3a60-4e37-9dd6-302b3a6ea27f · outbound

This paper cites Generating Feynman Diagrams and Amplitudes with FeynArts 3.

TVID 2: Evaluation of planar-type three-loop self-energy integrals with arbitrary masses Generating Feynman Diagrams and Amplitudes with FeynArts 3

Reference 16

Resolution: unresolved; no resolver link, observed 2026-08-14T11:05:25.816114Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 7c49e611-2b31-4064-97f5-333555c3174f · outbound

This paper cites FIRE5: a C++ implementation of Feynman Integral REduction.

TVID 2: Evaluation of planar-type three-loop self-energy integrals with arbitrary masses FIRE5: a C++ implementation of Feynman Integral REduction

Reference 17

Resolution: unresolved; no resolver link, observed 2026-08-14T11:05:25.821360Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 56225c23-9b3d-487a-b91f-e3a656d2c9bc · outbound

This paper cites Reduction of general two-loop self-energies to standard scalar integrals.

TVID 2: Evaluation of planar-type three-loop self-energy integrals with arbitrary masses Reduction of general two-loop self-energies to standard scalar integrals

Reference 18

Resolution: unresolved; no resolver link, observed 2026-08-14T11:05:25.826394Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 1619a502-0d16-4546-84fd-029017ae0d43 · outbound

This paper cites Techniques for the calculation of electroweak radiative corrections at the one-loop level and results for W-physics at LEP200.

TVID 2: Evaluation of planar-type three-loop self-energy integrals with arbitrary masses Techniques for the calculation of electroweak radiative corrections at the one-loop level and results for W-physics at LEP200

Reference 19

Resolution: unresolved; no resolver link, observed 2026-08-14T11:05:25.831445Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 4b84dbbb-a9ff-43c7-89f5-9f89ee731768 · outbound

This paper cites Two-loop Contributions to Muon Decay,.

TVID 2: Evaluation of planar-type three-loop self-energy integrals with arbitrary masses Two-loop Contributions to Muon Decay,

Reference 20

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T11:05:26.460172Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 42806e55-3e44-4047-af8a-d039f6f31d3f · outbound

This paper cites an unresolved cited work.

TVID 2: Evaluation of planar-type three-loop self-energy integrals with arbitrary masses Unresolved cited work

Reference 21

Resolution: unresolved; raw_fallback, observed 2026-08-14T11:05:26.432562Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation e91b5478-6d73-4029-8b07-c370df649656 · outbound

This paper cites The Standard Model Effective Potential at Two Loops.

TVID 2: Evaluation of planar-type three-loop self-energy integrals with arbitrary masses The Standard Model Effective Potential at Two Loops

Reference 22

Resolution: unresolved; no resolver link, observed 2026-08-14T11:05:25.848106Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 07df7fc3-0263-448a-9e14-30ad9defb264 · outbound

This paper cites Mathematica, Version 10.2,.

TVID 2: Evaluation of planar-type three-loop self-energy integrals with arbitrary masses Mathematica, Version 10.2,

Reference 23

Resolution: malformed identifier; raw_fallback, observed 2026-08-14T11:05:26.409553Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 73f969e0-203f-479c-b2d7-677369a3b225 · outbound

This paper cites QUADPACK, A Subroutine Package for Automatic Integration, Springer,.

TVID 2: Evaluation of planar-type three-loop self-energy integrals with arbitrary masses QUADPACK, A Subroutine Package for Automatic Integration, Springer,

Reference 24

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T11:05:26.387249Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation d55eabb0-2052-44ea-9b52-adda036a69d0 · outbound

This paper cites Briggs, doubledouble version 2.2, boutell.com/fracster-src/doubledouble/doubledouble.html.

TVID 2: Evaluation of planar-type three-loop self-energy integrals with arbitrary masses Briggs, doubledouble version 2.2, boutell.com/fracster-src/doubledouble/doubledouble.html

Reference 25

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T11:05:26.358630Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 5729beaa-a6c7-44dc-a643-8094795257ce · outbound

This paper cites Automatized One-Loop Calculations in 4 and D dimensions.

TVID 2: Evaluation of planar-type three-loop self-energy integrals with arbitrary masses Automatized One-Loop Calculations in 4 and D dimensions

Reference 26

Resolution: unresolved; no resolver link, observed 2026-08-14T11:05:25.869181Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Pith citing papers

Observation 0efa924d-aa87-4824-86d9-06bb227f39bf · inbound

Fermionic Electroweak Two-Loop Corrections to Drell-Yan and Related Processes cites this paper.

Fermionic Electroweak Two-Loop Corrections to Drell-Yan and Related Processes TVID 2: Evaluation of planar-type three-loop self-energy integrals with arbitrary masses

Reference 60

Resolution: unresolved; no resolver link, observed 2026-08-03T15:49:37.190619Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.