Paper Citation Record · LEDGER

Rational-function interpolation from p-adic evaluations in scattering amplitude calculations

As of 22 August 2026, this Paper Citation Record lists 29 of 29 outbound references and 0 inbound Pith citation observations for arXiv:2412.19868.

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

pith.paper-citation-record.v1
2412.19868 v1

Coverage vector

measured 29 of 29 reference resolution

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Source: paper_references, paper_reference_links, observed 2026-08-11T00:20:06.211449Z

measured 29 of 29 standing notices

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

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Pith citing papers itemized under the disclosed page cap.

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Reference resolution

29 of 29 outbound references displayed

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Outbound references

Observation a9fbfb92-ed79-4f11-b24a-4a6ab7ad1965 · outbound

This paper cites p-adic reconstruction of rational functions in multi-loop amplitudes.

Rational-function interpolation from p-adic evaluations in scattering amplitude calculations p-adic reconstruction of rational functions in multi-loop amplitudes

Reference 1

Resolution: unresolved; no resolver link, observed 2026-08-11T00:20:06.094237Z

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Observation 368c662b-2ea7-4e44-b05e-70dd84ebd785 · outbound

This paper cites A novel approach to integration by parts reduction.

Rational-function interpolation from p-adic evaluations in scattering amplitude calculations A novel approach to integration by parts reduction

Reference 2

Resolution: unresolved; no resolver link, observed 2026-08-11T00:20:06.099205Z

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Observation 0c7e4177-0104-43d6-ac25-2918e95b1278 · outbound

This paper cites Scattering amplitudes over finite fields and multivariate functional reconstruction.

Rational-function interpolation from p-adic evaluations in scattering amplitude calculations Scattering amplitudes over finite fields and multivariate functional reconstruction

Reference 3

Resolution: unresolved; no resolver link, observed 2026-08-11T00:20:06.103559Z

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Observation 40ded6e3-fbba-46ad-a571-7f71a9806638 · outbound

This paper cites Reconstructing Rational Functions with $\texttt{FireFly}$.

Rational-function interpolation from p-adic evaluations in scattering amplitude calculations Reconstructing Rational Functions with $\texttt{FireFly}$

Reference 4

Resolution: unresolved; no resolver link, observed 2026-08-11T00:20:06.108419Z

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Observation 22929eb3-dcb9-40e2-a6ce-2e44a18498b1 · outbound

This paper cites FiniteFlow: multivariate functional reconstruction using finite fields and dataflow graphs.

Rational-function interpolation from p-adic evaluations in scattering amplitude calculations FiniteFlow: multivariate functional reconstruction using finite fields and dataflow graphs

Reference 5

Resolution: unresolved; no resolver link, observed 2026-08-11T00:20:06.112694Z

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Observation 624f59c1-5fd6-4545-8186-5114ffb5b2ae · outbound

This paper cites Interpolation of Dense and Sparse Rational Functions and other Improvements in $\texttt{FireFly}$.

Rational-function interpolation from p-adic evaluations in scattering amplitude calculations Interpolation of Dense and Sparse Rational Functions and other Improvements in $\texttt{FireFly}$

Reference 6

Resolution: unresolved; no resolver link, observed 2026-08-11T00:20:06.116831Z

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Observation 3869f865-3579-4fae-91bc-ac9890c351bd · outbound

This paper cites Analytic Form of the Planar Two-Loop Five-Parton Scattering Amplitudes in QCD.

Rational-function interpolation from p-adic evaluations in scattering amplitude calculations Analytic Form of the Planar Two-Loop Five-Parton Scattering Amplitudes in QCD

Reference 7

Resolution: unresolved; no resolver link, observed 2026-08-11T00:20:06.121730Z

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Observation be77702f-4abf-4152-b596-c8aa0ce9ca53 · outbound

This paper cites IBP reduction coefficients made simple.

Rational-function interpolation from p-adic evaluations in scattering amplitude calculations IBP reduction coefficients made simple

Reference 8

Resolution: unresolved; no resolver link, observed 2026-08-11T00:20:06.125775Z

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Observation d3a8445e-e892-421f-ae7e-8abeeb73a6c3 · outbound

This paper cites Two-loop leading colour QCD corrections to $q \bar{q} \to \gamma \gamma g$ and $q g \to \gamma \gamma q$.

Rational-function interpolation from p-adic evaluations in scattering amplitude calculations Two-loop leading colour QCD corrections to $q \bar{q} \to \gamma \gamma g$ and $q g \to \gamma \gamma q$

Reference 9

Resolution: unresolved; no resolver link, observed 2026-08-11T00:20:06.129425Z

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Observation e5cbbee7-122e-4ec6-9afc-3d63247d3f3a · outbound

This paper cites Two-loop helicity amplitudes for diphoton plus jet production in full color.

Rational-function interpolation from p-adic evaluations in scattering amplitude calculations Two-loop helicity amplitudes for diphoton plus jet production in full color

Reference 10

Resolution: unresolved; no resolver link, observed 2026-08-11T00:20:06.133544Z

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Observation 33cbab2e-dae3-41bf-8cc2-52d99cb125a4 · outbound

This paper cites pfd-parallel, a Singular/GPI-Space package for massively parallel multivariate partial fractioning.

Rational-function interpolation from p-adic evaluations in scattering amplitude calculations pfd-parallel, a Singular/GPI-Space package for massively parallel multivariate partial fractioning

Reference 11

Resolution: unresolved; no resolver link, observed 2026-08-11T00:20:06.137295Z

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Observation c4fef9d9-d217-4ea5-89af-f50f104a4bc9 · outbound

This paper cites MultivariateApart: Generalized Partial Fractions.

Rational-function interpolation from p-adic evaluations in scattering amplitude calculations MultivariateApart: Generalized Partial Fractions

Reference 12

Resolution: unresolved; no resolver link, observed 2026-08-11T00:20:06.141059Z

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Observation 7bf0cfc6-8bdb-4f36-9b6e-bd8a42d1b77c · outbound

This paper cites Two-loop leading-colour QCD helicity amplitudes for two-photon plus jet production at the LHC.

Rational-function interpolation from p-adic evaluations in scattering amplitude calculations Two-loop leading-colour QCD helicity amplitudes for two-photon plus jet production at the LHC

Reference 13

Resolution: unresolved; no resolver link, observed 2026-08-11T00:20:06.145186Z

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Observation 10802ba4-b17f-4c85-93c3-677307251f99 · outbound

This paper cites One-loop QCD helicity amplitudes for $pp\to t\bar{t} j$ to $O(\epsilon^2)$.

Rational-function interpolation from p-adic evaluations in scattering amplitude calculations One-loop QCD helicity amplitudes for $pp\to t\bar{t} j$ to $O(\epsilon^2)$

Reference 14

Resolution: unresolved; no resolver link, observed 2026-08-11T00:20:06.149045Z

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Observation 8a9dfcea-422e-4cef-9277-59fa6e095fc6 · outbound

This paper cites Analytic Form of the Planar Two-Loop Five-Gluon Scattering Amplitudes in QCD.

Rational-function interpolation from p-adic evaluations in scattering amplitude calculations Analytic Form of the Planar Two-Loop Five-Gluon Scattering Amplitudes in QCD

Reference 15

Resolution: unresolved; no resolver link, observed 2026-08-11T00:20:06.152642Z

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Observation b8257b0e-f38e-4810-9673-6f9ac027f2b2 · outbound

This paper cites Extracting analytical one-loop amplitudes from numerical evaluations.

Rational-function interpolation from p-adic evaluations in scattering amplitude calculations Extracting analytical one-loop amplitudes from numerical evaluations

Reference 16

Resolution: unresolved; no resolver link, observed 2026-08-11T00:20:06.156432Z

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Observation 17836551-1c6b-489b-b76d-31c6fc7ec9e6 · outbound

This paper cites Two-Loop Five-Parton Leading-Colour Finite Remainders in the Spinor-Helicity Formalism.

Rational-function interpolation from p-adic evaluations in scattering amplitude calculations Two-Loop Five-Parton Leading-Colour Finite Remainders in the Spinor-Helicity Formalism

Reference 17

Resolution: verified exact; local_arxiv, observed 2026-08-11T00:20:06.390719Z

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

Observation 2622e910-bb50-4f87-8420-099757a5a319 · outbound

This paper cites Wang, A p-adic algorithm for univariate partial fractions , in Proceedings of the Fourth ACM Symposium on Symbolic and Algebraic Computation , SYMSAC ’81, (New York, NY, USA), p.

Rational-function interpolation from p-adic evaluations in scattering amplitude calculations Wang, A p-adic algorithm for univariate partial fractions , in Proceedings of the Fourth ACM Symposium on Symbolic and Algebraic Computation , SYMSAC ’81, (New York, NY, USA), p

Reference 18

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T00:20:06.576320Z

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

Observation e40c92d1-ea8a-41b7-b600-246ebdfc51e5 · outbound

This paper cites Integration-by-parts reductions of Feynman integrals using Singular and GPI-Space.

Rational-function interpolation from p-adic evaluations in scattering amplitude calculations Integration-by-parts reductions of Feynman integrals using Singular and GPI-Space

Reference 19

Resolution: unresolved; no resolver link, observed 2026-08-11T00:20:06.168463Z

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Observation 31bc8343-5339-46ba-814e-1084f5d485c4 · outbound

This paper cites Virtual QCD corrections to gluon-initiated diphoton plus jet production at hadron colliders.

Rational-function interpolation from p-adic evaluations in scattering amplitude calculations Virtual QCD corrections to gluon-initiated diphoton plus jet production at hadron colliders

Reference 20

Resolution: unresolved; no resolver link, observed 2026-08-11T00:20:06.172472Z

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Observation b5f46c25-1962-4d0d-b084-bfae2cb00d55 · outbound

This paper cites Two-loop QCD corrections to $Wb\bar{b}$ production at hadron colliders.

Rational-function interpolation from p-adic evaluations in scattering amplitude calculations Two-loop QCD corrections to $Wb\bar{b}$ production at hadron colliders

Reference 21

Resolution: unresolved; no resolver link, observed 2026-08-11T00:20:06.176796Z

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Observation f948d71f-0f44-4b92-bc2b-d28838091cfd · outbound

This paper cites Two-loop leading-colour QCD helicity amplitudes for Higgs boson production in association with a bottom-quark pair at the LHC.

Rational-function interpolation from p-adic evaluations in scattering amplitude calculations Two-loop leading-colour QCD helicity amplitudes for Higgs boson production in association with a bottom-quark pair at the LHC

Reference 22

Resolution: unresolved; no resolver link, observed 2026-08-11T00:20:06.180450Z

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Observation c0091d12-82de-4d73-9ae5-96a274df7aaf · outbound

This paper cites Leading-Color Two-Loop Amplitudes for Four Partons and a W Boson in QCD.

Rational-function interpolation from p-adic evaluations in scattering amplitude calculations Leading-Color Two-Loop Amplitudes for Four Partons and a W Boson in QCD

Reference 23

Resolution: unresolved; no resolver link, observed 2026-08-11T00:20:06.184070Z

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Observation a35c4eda-22ee-4b91-9940-726caf24b29e · outbound

This paper cites Ans\"atze for Scattering Amplitudes from $p$-adic Numbers and Algebraic Geometry.

Rational-function interpolation from p-adic evaluations in scattering amplitude calculations Ans\"atze for Scattering Amplitudes from $p$-adic Numbers and Algebraic Geometry

Reference 24

Resolution: unresolved; no resolver link, observed 2026-08-11T00:20:06.187630Z

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Observation 60af640e-06d5-408d-9fb9-919e0e75c3d2 · outbound

This paper cites Double-Virtual NNLO QCD Corrections for Five-Parton Scattering: The Gluon Channel.

Rational-function interpolation from p-adic evaluations in scattering amplitude calculations Double-Virtual NNLO QCD Corrections for Five-Parton Scattering: The Gluon Channel

Reference 25

Resolution: unresolved; no resolver link, observed 2026-08-11T00:20:06.191345Z

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Observation 49abc208-9ff9-42d0-87e8-8ccce1ecb767 · outbound

This paper cites Double-Virtual NNLO QCD Corrections for Five-Parton Scattering: The Quark Channels.

Rational-function interpolation from p-adic evaluations in scattering amplitude calculations Double-Virtual NNLO QCD Corrections for Five-Parton Scattering: The Quark Channels

Reference 26

Resolution: unresolved; no resolver link, observed 2026-08-11T00:20:06.195259Z

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Observation 027ea3b0-7f55-4681-9b25-1e78114d2009 · outbound

This paper cites Vector boson pair production at one loop: analytic results for the process $q \bar{q} \ell \bar\ell \ell^\prime \bar{\ell}^\prime g$.

Rational-function interpolation from p-adic evaluations in scattering amplitude calculations Vector boson pair production at one loop: analytic results for the process $q \bar{q} \ell \bar\ell \ell^\prime \bar{\ell}^\prime g$

Reference 27

Resolution: verified exact; local_arxiv, observed 2026-08-11T00:20:06.283028Z

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

Observation 3d0bfdda-2507-4c92-b03b-e1b713ec7af9 · outbound

This paper cites Tkachov, A theorem on analytical calculability of 4-loop renormaliz ation group functions , Phys.

Rational-function interpolation from p-adic evaluations in scattering amplitude calculations Tkachov, A theorem on analytical calculability of 4-loop renormaliz ation group functions , Phys

Reference 28

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T00:20:06.565566Z

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

Observation 37a2e4a1-05fe-4cc1-b556-773862c87855 · outbound

This paper cites Chetyrkin and F.V.

Rational-function interpolation from p-adic evaluations in scattering amplitude calculations Chetyrkin and F.V

Reference 29

Resolution: unresolved; no resolver link, observed 2026-08-11T00:20:06.211449Z

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