Paper Citation Record · LEDGER

FIRE6: Feynman Integral REduction with Modular Arithmetic

As of 12 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 38 inbound Pith citation observations for arXiv:1901.07808.

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

pith.paper-citation-record.v1
1901.07808 v3

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measured 0 of 0 reference resolution

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measured 38 of 38 standing notices

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Source: scholarly_work_events, retraction_status_cache, observed 2026-08-12T06:34:41.77262+00:00

measured 38 of 38 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-12T16:30:07.261494Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-07-04T09:19:42.782343Z

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External citation measurements

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Outbound references

No outbound reference observations are available for this paper version.

Pith citing papers

Observation ce2a7b5a-bf05-47b1-b4a9-ec15ef92a42b · 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 FIRE6: Feynman Integral REduction with Modular Arithmetic

Reference 41

Resolution: verified exact; arxiv_id, observed 2026-05-25T14:35:57.057648Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 3d12e7cb-e9d2-4bab-bffa-127e7e72c96f · inbound

Integral Reduction with Kira 2.0 and Finite Field Methods cites this paper.

Integral Reduction with Kira 2.0 and Finite Field Methods FIRE6: Feynman Integral REduction with Modular Arithmetic

Reference 23

Resolution: verified exact; arxiv_id, observed 2026-05-18T00:11:26.092407Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation ef341269-236c-41e4-be69-59ec76652422 · inbound

The two-loop fully differential soft function for $Q\bar{Q}V$ production at lepton colliders cites this paper.

The two-loop fully differential soft function for $Q\bar{Q}V$ production at lepton colliders FIRE6: Feynman Integral REduction with Modular Arithmetic

Reference 54

Resolution: unresolved; no resolver link, observed 2026-08-12T16:30:07.261494Z

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Unavailable: canonical work link unavailable.

Observation c2da8cbe-7a60-438c-8160-fb0c2bff1654 · inbound

An Analytic Computation of Three-Loop Five-Point Feynman Integrals cites this paper.

An Analytic Computation of Three-Loop Five-Point Feynman Integrals FIRE6: Feynman Integral REduction with Modular Arithmetic

Reference 34

Resolution: unresolved; no resolver link, observed 2026-08-12T11:06:17.979300Z

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Unavailable: canonical work link unavailable.

Observation 04483734-dd3a-4589-b12f-4529bbcc2507 · inbound

Three-loop jet function for boosted heavy quarks cites this paper.

Three-loop jet function for boosted heavy quarks FIRE6: Feynman Integral REduction with Modular Arithmetic

Reference 76

Resolution: unresolved; no resolver link, observed 2026-08-11T19:25:00.818932Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 59ecdbc2-4eef-41d4-93a5-798e26223da8 · inbound

HQET sum rules for matrix elements of dimension-six four-quark operators for meson lifetimes within and beyond the Standard Model cites this paper.

HQET sum rules for matrix elements of dimension-six four-quark operators for meson lifetimes within and beyond the Standard Model FIRE6: Feynman Integral REduction with Modular Arithmetic

Reference 88

Resolution: unresolved; no resolver link, observed 2026-08-11T13:24:31.906433Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation fb4d4eab-d70d-406e-a7fc-293fc1d9e44c · inbound

Numerical evaluation of two-loop QCD helicity amplitudes for $gg\to t \bar{t} g$ at leading colour cites this paper.

Numerical evaluation of two-loop QCD helicity amplitudes for $gg\to t \bar{t} g$ at leading colour FIRE6: Feynman Integral REduction with Modular Arithmetic

Reference 21

Resolution: unresolved; no resolver link, observed 2026-08-11T12:46:48.767288Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 60e24e92-e8fb-44be-86d5-16c09be488d4 · inbound

Status of two-loop automation in OpenLoops cites this paper.

Status of two-loop automation in OpenLoops FIRE6: Feynman Integral REduction with Modular Arithmetic

Reference 16

Resolution: unresolved; no resolver link, observed 2026-08-11T11:54:01.758941Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation b4e67cb4-f70b-4182-ab18-96312d9e9b44 · inbound

Efficient Computation of One-Loop Feynman Integrals and Fixed-Branch Integrals to High Orders in $\epsilon$ cites this paper.

Efficient Computation of One-Loop Feynman Integrals and Fixed-Branch Integrals to High Orders in $\epsilon$ FIRE6: Feynman Integral REduction with Modular Arithmetic

Reference 18

Resolution: unresolved; no resolver link, observed 2026-08-10T23:10:06.947566Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 473863b9-c930-495c-9aa2-68c15c7c51fa · inbound

Two-loop form factors for $P$-wave quarkonium production and decay cites this paper.

Two-loop form factors for $P$-wave quarkonium production and decay FIRE6: Feynman Integral REduction with Modular Arithmetic

Reference 58

Resolution: unresolved; no resolver link, observed 2026-08-10T21:44:50.207287Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 9692af63-5b96-4016-b7b1-da563824dc7b · inbound

Direct Expression for One-Loop Tensor Reduction with Lorentz Indices via Generating Function cites this paper.

Direct Expression for One-Loop Tensor Reduction with Lorentz Indices via Generating Function FIRE6: Feynman Integral REduction with Modular Arithmetic

Reference 14

Resolution: unresolved; no resolver link, observed 2026-08-10T18:40:27.408448Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation ce5e4cf8-89ac-4443-b0d6-d8906e40d0eb · inbound

Region analysis of $H\to \gamma \gamma $ via a bottom quark loop cites this paper.

Region analysis of $H\to \gamma \gamma $ via a bottom quark loop FIRE6: Feynman Integral REduction with Modular Arithmetic

Reference 88

Resolution: unresolved; no resolver link, observed 2026-08-10T17:56:12.198356Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 8d2f2ea5-df50-4c50-963c-e17007daf3fa · inbound

First Look at Quartic-in-Spin Binary Dynamics at Third Post-Minkowskian Order cites this paper.

First Look at Quartic-in-Spin Binary Dynamics at Third Post-Minkowskian Order FIRE6: Feynman Integral REduction with Modular Arithmetic

Reference 127

Resolution: unresolved; no resolver link, observed 2026-08-07T23:10:24.506449Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation fcb224c3-7663-4925-8579-b35062801a71 · inbound

Rare $W \to B_c + \gamma$ decay up to the NNLO and NLL accuracy in QCD cites this paper.

Rare $W \to B_c + \gamma$ decay up to the NNLO and NLL accuracy in QCD FIRE6: Feynman Integral REduction with Modular Arithmetic

Reference 76

Resolution: unresolved; no resolver link, observed 2026-08-07T22:15:56.705506Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 6223c81e-e0ec-4595-92f3-dc5feb4b9336 · inbound

Explainable AI-assisted Optimization for Feynman Integral Reduction cites this paper.

Explainable AI-assisted Optimization for Feynman Integral Reduction FIRE6: Feynman Integral REduction with Modular Arithmetic

Reference 28

Resolution: unresolved; no resolver link, observed 2026-08-07T21:11:56.357665Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 1fe72415-0776-491d-92fa-2c4b53b2baae · inbound

Les Houches 2023 -- Physics at TeV Colliders: Report on the Standard Model Precision Wishlist cites this paper.

Les Houches 2023 -- Physics at TeV Colliders: Report on the Standard Model Precision Wishlist FIRE6: Feynman Integral REduction with Modular Arithmetic

Reference 51

Resolution: verified exact; arxiv_id, observed 2026-05-22T20:25:05.610752Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation ae9cc0c5-e0ef-45ed-b228-95404c94f79d · inbound

Kira 3: integral reduction with efficient seeding and optimized equation selection cites this paper.

Kira 3: integral reduction with efficient seeding and optimized equation selection FIRE6: Feynman Integral REduction with Modular Arithmetic

Reference 8

Resolution: unresolved; no resolver link, observed 2026-08-07T14:03:49.931614Z

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Unavailable: canonical work link unavailable.

Observation 0ad9c45b-85f6-4cfe-b6e6-c2fc6085836d · inbound

A new probe of the quartic Higgs self-coupling cites this paper.

A new probe of the quartic Higgs self-coupling FIRE6: Feynman Integral REduction with Modular Arithmetic

Reference 80

Resolution: unresolved; no resolver link, observed 2026-08-07T14:06:33.980920Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 2b80b06e-1ecf-4d27-85f0-3a110249069c · inbound

Current-current operator contribution to the decay matrix in $B$-meson mixing at next-to-next-to-leading order of QCD cites this paper.

Current-current operator contribution to the decay matrix in $B$-meson mixing at next-to-next-to-leading order of QCD FIRE6: Feynman Integral REduction with Modular Arithmetic

Reference 42

Resolution: unresolved; no resolver link, observed 2026-08-07T13:10:52.100842Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation c4d166b3-0c86-406b-bff7-184b0bfe452e · inbound

$B\rightarrow K + \text{axion-like particles}$: effective versus UV-complete models and enhanced two-loop contributions cites this paper.

$B\rightarrow K + \text{axion-like particles}$: effective versus UV-complete models and enhanced two-loop contributions FIRE6: Feynman Integral REduction with Modular Arithmetic

Reference 40

Resolution: unresolved; no resolver link, observed 2026-08-07T00:14:41.886439Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation bae1f073-1b2b-4222-88be-8fca58c60c50 · inbound

Energy momentum tensor correlators in $\phi^4$ theory II: The spin-two sector cites this paper.

Energy momentum tensor correlators in $\phi^4$ theory II: The spin-two sector FIRE6: Feynman Integral REduction with Modular Arithmetic

Reference 22

Resolution: unresolved; no resolver link, observed 2026-08-06T20:55:10.490450Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 62417099-bc8d-4604-aab3-7a79043be23a · inbound

Analytic Regression of Feynman Integrals from High-Precision Numerical Sampling cites this paper.

Analytic Regression of Feynman Integrals from High-Precision Numerical Sampling FIRE6: Feynman Integral REduction with Modular Arithmetic

Reference 62

Resolution: unresolved; no resolver link, observed 2026-08-06T14:46:49.409900Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 9a44e02c-28c8-40bb-9230-cf84644e5513 · inbound

Two-loop QCD corrections to $ZH$ and off-shell $Z$ boson pair production in gluon fusion cites this paper.

Two-loop QCD corrections to $ZH$ and off-shell $Z$ boson pair production in gluon fusion FIRE6: Feynman Integral REduction with Modular Arithmetic

Reference 42

Resolution: unresolved; no resolver link, observed 2026-08-04T22:57:09.063983Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 15f4fc28-a889-4e28-83f6-2d1e3ece01d9 · inbound

Tensor Reduction of Sunset by Generating Function cites this paper.

Tensor Reduction of Sunset by Generating Function FIRE6: Feynman Integral REduction with Modular Arithmetic

Reference 20

Resolution: unresolved; no resolver link, observed 2026-08-04T15:44:58.346877Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation ad6e3e09-da2d-4096-aeed-98b6b0dd7df8 · inbound

Double virtual QCD corrections to $t\bar{t}+$jet production at the LHC cites this paper.

Double virtual QCD corrections to $t\bar{t}+$jet production at the LHC FIRE6: Feynman Integral REduction with Modular Arithmetic

Reference 37

Resolution: verified exact; arxiv_id, observed 2026-05-17T22:10:22.290128Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 4dd1824a-4601-4c30-b73b-ea0f7ea8950b · inbound

Two-loop all-plus helicity amplitudes for self-dual Higgs boson with gluons via unitarity cut constraints cites this paper.

Two-loop all-plus helicity amplitudes for self-dual Higgs boson with gluons via unitarity cut constraints FIRE6: Feynman Integral REduction with Modular Arithmetic

Reference 44

Resolution: verified exact; arxiv_id, observed 2026-05-17T22:02:08.878590Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 9d7e5dbb-c95e-4cd2-a325-6217250b1235 · inbound

Non-Hermitian Structure and Exceptional Points in Yang-Mills Theory from Analytic Continuation of Nc cites this paper.

Non-Hermitian Structure and Exceptional Points in Yang-Mills Theory from Analytic Continuation of Nc FIRE6: Feynman Integral REduction with Modular Arithmetic

Reference 60

Resolution: unresolved; no resolver link, observed 2026-08-02T17:59:39.939803Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 83a124be-3e75-4a8f-a6f0-cf01fc01ec15 · inbound

Learning to Unscramble Feynman Loop Integrals with SAILIR cites this paper.

Learning to Unscramble Feynman Loop Integrals with SAILIR FIRE6: Feynman Integral REduction with Modular Arithmetic

Reference 17

Resolution: metadata mismatch; arxiv_id, observed 2026-05-10T22:50:50.994807Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 4752db2b-6e03-4530-9521-bd17a094d9db · inbound

Discrete symmetries of Feynman integrals cites this paper.

Discrete symmetries of Feynman integrals FIRE6: Feynman Integral REduction with Modular Arithmetic

Reference 23

Resolution: verified exact; arxiv_id, observed 2026-05-11T05:55:58.931515Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 0c084a50-7ced-41ad-b036-c787a2c023bb · inbound

Feynman integral reduction by covariant differentiation cites this paper.

Feynman integral reduction by covariant differentiation FIRE6: Feynman Integral REduction with Modular Arithmetic

Reference 17

Resolution: verified exact; arxiv_id, observed 2026-05-11T08:40:58.539416Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 73227b42-b315-4bf9-b8d6-cbd6233a785d · inbound

Four-loop Anomalous Dimensions of Scalar-QED Theory from Operator Product Expansion cites this paper.

Four-loop Anomalous Dimensions of Scalar-QED Theory from Operator Product Expansion FIRE6: Feynman Integral REduction with Modular Arithmetic

Reference 86

Resolution: verified exact; arxiv_id, observed 2026-05-10T13:40:26.821631Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation d9329cfb-13b7-44c4-961c-2a6485ef71ea · inbound

The OPE Approach to Renormalization: Operator Mixing cites this paper.

The OPE Approach to Renormalization: Operator Mixing FIRE6: Feynman Integral REduction with Modular Arithmetic

Reference 86

Resolution: verified exact; arxiv_id, observed 2026-05-10T11:05:08.558303Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 29ed9542-eb84-427e-b9ca-f14685888b10 · inbound

$B_c \to \eta_c$ form factors at large recoil: SCET analysis and a three-loop consistency check cites this paper.

$B_c \to \eta_c$ form factors at large recoil: SCET analysis and a three-loop consistency check FIRE6: Feynman Integral REduction with Modular Arithmetic

Reference 47

Resolution: verified exact; arxiv_id, observed 2026-05-21T03:53:56.295684Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation cf74625f-ffc5-49d0-8a34-270561a34bd8 · inbound

Linac: linear algebra with CUDA over finite fields cites this paper.

Linac: linear algebra with CUDA over finite fields FIRE6: Feynman Integral REduction with Modular Arithmetic

Reference 18

Resolution: verified exact; arxiv_id, observed 2026-06-29T19:33:54.061600Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation eb91bce5-a4fd-4082-8208-7680f73334df · inbound

Projected Energy Correlators: Two-Loop Jet Functions and NNLL Resummation cites this paper.

Projected Energy Correlators: Two-Loop Jet Functions and NNLL Resummation FIRE6: Feynman Integral REduction with Modular Arithmetic

Reference 80

Resolution: verified exact; arxiv_id, observed 2026-07-02T00:16:25.414325Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation cd1796ad-91cb-4476-8ad1-1f8f25bbe1a9 · inbound

Taming Symbolic IBP Reduction with Intermediate Bases cites this paper.

Taming Symbolic IBP Reduction with Intermediate Bases FIRE6: Feynman Integral REduction with Modular Arithmetic

Reference 9

Resolution: metadata mismatch; arxiv_id, observed 2026-07-04T09:19:42.784380Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 78192071-5c1f-4dd0-a94e-5ce78b082bba · inbound

Analytic result of a three-loop integral family in the Higgs decay to four massive bottom quarks cites this paper.

Analytic result of a three-loop integral family in the Higgs decay to four massive bottom quarks FIRE6: Feynman Integral REduction with Modular Arithmetic

Reference 21

Resolution: unresolved; no resolver link, observed 2026-07-12T02:47:06.419343Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation bedb916f-8f26-4949-839d-9eb2ec2bd7f0 · inbound

Gravitational bremsstrahlung waveform at the eighth post-Minkowskian order in the extreme-mass-ratio limit cites this paper.

Gravitational bremsstrahlung waveform at the eighth post-Minkowskian order in the extreme-mass-ratio limit FIRE6: Feynman Integral REduction with Modular Arithmetic

Reference 19

Resolution: unresolved; no resolver link, observed 2026-08-01T12:22:15.519968Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.