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Paper Citation Record · LEDGER

Exponentiating virtual imaginary contributions in a parton shower

As of 19 August 2026, this Paper Citation Record lists 40 of 40 outbound references and 1 inbound Pith citation observation for arXiv:1908.11420.

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

pith.paper-citation-record.v1
1908.11420 v1

Coverage vector

measured 40 of 40 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-14T10:19:43.914145Z

measured 41 of 41 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 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-06T11:24:20.678715Z

measured 0 of 1 external citation measurements

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

Source: pith, observed 2026-08-06T11:24:22.054785Z

Reference resolution

40 of 40 outbound references displayed

  • verified exact1
  • verified fuzzy30
  • unresolved8
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  • malformed identifier1
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External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 6a9865c3-b9b7-4b61-9974-009341dc2851 · outbound

This paper cites Nagy and D.

Exponentiating virtual imaginary contributions in a parton shower Nagy and D

Reference 1

Resolution
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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.

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Observation 522d312d-2650-48a2-b72f-19f4540f6d21 · outbound

This paper cites There is an approximation, the LC+ approximation, that generalizes the leading color approximation [ 1].

Exponentiating virtual imaginary contributions in a parton shower There is an approximation, the LC+ approximation, that generalizes the leading color approximation [ 1]

Reference 2

Resolution
verified fuzzy
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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.

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Observation 9f4e75c7-5219-4c43-9916-3ebf8c047f39 · outbound

This paper cites Nagy and D.

Exponentiating virtual imaginary contributions in a parton shower Nagy and D

Reference 3

Resolution
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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.

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Observation 784c41ee-482f-497e-93bb-7eb45ae0ef3d · outbound

This paper cites In fact, an n gluon statistical state vector is expanded in [( n − 1)!/ 2]2 basis vectors if we use the trace basis.

Exponentiating virtual imaginary contributions in a parton shower In fact, an n gluon statistical state vector is expanded in [( n − 1)!/ 2]2 basis vectors if we use the trace basis

Reference 4

Resolution
verified fuzzy
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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.

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Observation 678bd8ed-f8e2-456d-bb94-fcb0f07bb07b · outbound

This paper cites Pl¨ atzer, M.

Exponentiating virtual imaginary contributions in a parton shower Pl¨ atzer, M

Reference 5

Resolution
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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.

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Observation 62697637-9428-423d-ae42-ec371d0e4b49 · outbound

This paper cites Isaacson and S.

Exponentiating virtual imaginary contributions in a parton shower Isaacson and S

Reference 6

Resolution
verified fuzzy
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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.

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Observation d191b0b9-38e4-47dc-b92c-977fd477ab47 · outbound

This paper cites Parton branching at amplitude level.

Exponentiating virtual imaginary contributions in a parton shower Parton branching at amplitude level

Reference 7

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Source-reported events for the cited work

Unavailable: canonical work link unavailable.

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Observation e1c016f3-5ed9-4206-8c51-58646c994694 · outbound

This paper cites Nagy and D.

Exponentiating virtual imaginary contributions in a parton shower Nagy and D

Reference 8

Resolution
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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.

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Observation 135995fc-5677-44fb-8e07-48cc9b82d090 · outbound

This paper cites a”, Tb represents the insertion of a color matrix T c on incoming parton line “b.

Exponentiating virtual imaginary contributions in a parton shower a”, Tb represents the insertion of a color matrix T c on incoming parton line “b

Reference 9

Resolution
malformed identifier
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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.

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Observation f1f44dce-7697-4686-abf6-127687d0165d · outbound

This paper cites We have seen that the operator n, including its i π terms, can be written as an exponential of a finite di- mensional matrix in the case of an incoming ¯ q, ¯q state.

Exponentiating virtual imaginary contributions in a parton shower We have seen that the operator n, including its i π terms, can be written as an exponential of a finite di- mensional matrix in the case of an incoming ¯ q, ¯q state

Reference 10

Resolution
verified fuzzy
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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.

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Observation 9d862495-6752-4e95-a61c-f72271a66840 · outbound

This paper cites Alioli, J.

Exponentiating virtual imaginary contributions in a parton shower Alioli, J

Reference 11

Resolution
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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.

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Observation fc305585-a379-4dde-a370-df416d57a813 · outbound

This paper cites The first, in blue, is obtained with Niπ = 0.

Exponentiating virtual imaginary contributions in a parton shower The first, in blue, is obtained with Niπ = 0

Reference 12

Resolution
verified fuzzy
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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.

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Observation 83229ba4-41b3-46cc-9a61-71329044de9c · outbound

This paper cites Forshaw, J.

Exponentiating virtual imaginary contributions in a parton shower Forshaw, J

Reference 13

Resolution
verified fuzzy
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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.

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Observation 5df587b0-9c63-4d4a-893a-75f127d11595 · outbound

This paper cites At first sight, the goal of exponentiating Viπ in a prac- tical algorithm seems unreachable because the color op- erators in Eq.

Exponentiating virtual imaginary contributions in a parton shower At first sight, the goal of exponentiating Viπ in a prac- tical algorithm seems unreachable because the color op- erators in Eq

Reference 14

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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.

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Observation 55fa5374-c718-4c95-83a8-3cf8bb78a917 · outbound

This paper cites Pl¨ atzer and M.

Exponentiating virtual imaginary contributions in a parton shower Pl¨ atzer and M

Reference 15

Resolution
verified fuzzy
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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.

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Observation c2a8eee4-fbf3-4e90-a034-81d80e4db017 · outbound

This paper cites ´Angeles Mart ´ ınez, M.

Exponentiating virtual imaginary contributions in a parton shower ´Angeles Mart ´ ınez, M

Reference 16

Resolution
verified fuzzy
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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.

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Observation 33bcc10f-c85c-4a5c-a376-0a1cdf83be5e · outbound

This paper cites Dasgupta and G.

Exponentiating virtual imaginary contributions in a parton shower Dasgupta and G

Reference 17

Resolution
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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.

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Observation 45c402c0-52f0-46fc-b6a1-5bc30c65d533 · outbound

This paper cites a” carries an outgoing quark color in- dex that we can call α and incoming parton “b.

Exponentiating virtual imaginary contributions in a parton shower a” carries an outgoing quark color in- dex that we can call α and incoming parton “b

Reference 18

Resolution
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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.

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Observation 1c2b7ac2-4451-406c-a6ef-211f8d101968 · outbound

This paper cites The operator alc+ coll (t, {p, f }m) contains the soft × collinear singularities of a.

Exponentiating virtual imaginary contributions in a parton shower The operator alc+ coll (t, {p, f }m) contains the soft × collinear singularities of a

Reference 19

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verified fuzzy
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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.

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Observation 6409625a-9ace-4cca-aed9-f447c0f1bfd0 · outbound

This paper cites We also saw in Eq.

Exponentiating virtual imaginary contributions in a parton shower We also saw in Eq

Reference 20

Resolution
verified fuzzy
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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.

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Observation fe52adc1-ce92-4f9d-8545-c23f9a544aea · outbound

This paper cites Effect of color on rapidity gap survival.

Exponentiating virtual imaginary contributions in a parton shower Effect of color on rapidity gap survival

Reference 21

Resolution
verified exact
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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.

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Observation ba568611-da2b-447f-a57a-a4f4f8e48dc5 · outbound

This paper cites Aad et al.

Exponentiating virtual imaginary contributions in a parton shower Aad et al

Reference 22

Resolution
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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.

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Observation f7ec511d-51ac-4fa0-bf37-5b7729c849e6 · outbound

This paper cites an unresolved cited work.

Exponentiating virtual imaginary contributions in a parton shower Unresolved cited work

Reference 23

Resolution
unresolved
raw_fallback, observed 2026-08-14T10:19:44.049717Z

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.

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Observation 40d4a1af-9644-4371-8f4b-71ec8d5505f2 · outbound

This paper cites Hoeche and M.

Exponentiating virtual imaginary contributions in a parton shower Hoeche and M

Reference 24

Resolution
verified fuzzy
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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.

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Observation 731dc23c-a889-4666-a6ff-7c03f8dd42ff · outbound

This paper cites Nagy and D.

Exponentiating virtual imaginary contributions in a parton shower Nagy and D

Reference 25

Resolution
verified fuzzy
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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.

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Observation d3299bac-0b82-4aab-94aa-cf300833d08c · outbound

This paper cites Kidonakis, G.

Exponentiating virtual imaginary contributions in a parton shower Kidonakis, G

Reference 26

Resolution
verified fuzzy
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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.

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Observation f4bfc589-4a01-48d6-b0f8-86a52466128b · outbound

This paper cites Oderda and G.

Exponentiating virtual imaginary contributions in a parton shower Oderda and G

Reference 27

Resolution
verified fuzzy
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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.

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Observation 995ff246-86ee-429e-b42c-5b642dc013e1 · outbound

This paper cites an unresolved cited work.

Exponentiating virtual imaginary contributions in a parton shower Unresolved cited work

Reference 28

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unresolved
raw_fallback, observed 2026-08-14T10:19:44.131805Z

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.

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Observation 2062d262-d612-4608-9b9a-5b95dd2c9df6 · outbound

This paper cites an unresolved cited work.

Exponentiating virtual imaginary contributions in a parton shower Unresolved cited work

Reference 30

Resolution
unresolved
raw_fallback, observed 2026-08-14T10:19:44.108985Z

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.

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Observation 168e3041-45e1-4e30-b145-52ccb3e08c8c · outbound

This paper cites Dasgupta and G.

Exponentiating virtual imaginary contributions in a parton shower Dasgupta and G

Reference 31

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T10:19:44.097244Z

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.

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Observation fcadc628-1907-49ae-bb2e-eeceb2d9437b · outbound

This paper cites an unresolved cited work.

Exponentiating virtual imaginary contributions in a parton shower Unresolved cited work

Reference 32

Resolution
unresolved
raw_fallback, observed 2026-08-14T10:19:44.086516Z

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.

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Observation e9ce2413-eda1-4b7d-b986-cebce182788e · outbound

This paper cites an unresolved cited work.

Exponentiating virtual imaginary contributions in a parton shower Unresolved cited work

Reference 33

Resolution
unresolved
raw_fallback, observed 2026-08-14T10:19:44.076604Z

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.

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Observation b4be18c1-b333-4fbb-a70d-33a7588c2fd2 · outbound

This paper cites Thus these contributions can reasonably be neglected and we simply write n in Eq.

Exponentiating virtual imaginary contributions in a parton shower Thus these contributions can reasonably be neglected and we simply write n in Eq

Reference 34

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T10:19:44.332581Z

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.

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Observation 1e31e1d7-1493-4faa-8569-08a7818fc6f7 · outbound

This paper cites an unresolved cited work.

Exponentiating virtual imaginary contributions in a parton shower Unresolved cited work

Reference 35

Resolution
unresolved
raw_fallback, observed 2026-08-14T10:19:44.063763Z

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.

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Observation fb92c962-01ee-4d0d-8022-e6533794310a · outbound

This paper cites Nagy and D.

Exponentiating virtual imaginary contributions in a parton shower Nagy and D

Reference 36

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T10:19:44.036325Z

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.

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Observation 94332dc4-b00f-4267-a463-98685d99b2dd · outbound

This paper cites (39) We see that the second term of the exponent, ω 2, in Eq.

Exponentiating virtual imaginary contributions in a parton shower (39) We see that the second term of the exponent, ω 2, in Eq

Reference 37

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T10:19:44.345065Z

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=2026-08-14T10:19:43.787644Z digest=sha256:9e7eb088bde91b4c5d965671ebaab98c7a131f706a6052092b7731007d546337

Observation bd93d6d4-325d-4dc8-ba2b-ace47a806aff · outbound

This paper cites Magnus, On the exponential solution of differential equations for a linear operator , Commun.

Exponentiating virtual imaginary contributions in a parton shower Magnus, On the exponential solution of differential equations for a linear operator , Commun

Reference 38

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T10:19:44.009038Z

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=2026-08-14T10:19:43.906286Z digest=sha256:9fdb5c76d6bb609c3dd42afd76f4100f2d575cab596dc377c86fad985cf1c2b7

Observation 24c07b19-51d9-4572-9994-95cd5747ce6a · outbound

This paper cites Cacciari, G.

Exponentiating virtual imaginary contributions in a parton shower Cacciari, G

Reference 39

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T10:19:43.996804Z

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=2026-08-14T10:19:43.909899Z digest=sha256:c51b212e5caa92ac3a813e4c8199cf4ad4dd21327712d692eafd491d292545a4

Observation 0b7c05eb-fe58-4396-ab05-583e5ac730ed · outbound

This paper cites Nagy and D.

Exponentiating virtual imaginary contributions in a parton shower Nagy and D

Reference 40

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T10:19:43.983901Z

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=2026-08-14T10:19:43.914145Z digest=sha256:8c68714e98cbd18ec0bc1687771fac5d1edbae5b7f432233465c4ee5fd2494cf

Observation 581b16c8-e8c5-4007-8029-5b7b6ffb3b6a · outbound

This paper cites an unresolved cited work.

Exponentiating virtual imaginary contributions in a parton shower Unresolved cited work

Reference 53

Resolution
unresolved
raw_fallback, observed 2026-08-14T10:19:44.309135Z

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=2026-08-14T10:19:43.798585Z digest=sha256:1a9fbb81cea67a227c2b284dfa12ea56cb7f7476f4d22498eea953199e5a887c

Pith citing papers

Observation 11f45aa2-6b35-42d1-b516-d20d19bd54b0 · inbound

Recoil-Safe Subtraction, Matching and Merging in e+e- to hadrons cites this paper.

Recoil-Safe Subtraction, Matching and Merging in e+e- to hadrons Exponentiating virtual imaginary contributions in a parton shower

Reference 36

Resolution
verified exact
local_arxiv, observed 2026-08-06T11:24:22.058748Z

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=2026-08-06T11:24:20.678715Z digest=sha256:a707b84fad7f65968f998b1efdb1c0b98e611cf4affede65ac9371334dfca9fc