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Paper Citation Record · LEDGER

Four-loop QCD mixing of current-current operators

As of 4 August 2026, this Paper Citation Record lists 30 of 30 outbound references and 1 inbound Pith citation observation for arXiv:2604.16691.

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

pith.paper-citation-record.v1
2604.16691 v1

Coverage vector

measured 30 of 30 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-05-10T07:41:15.280761Z

measured 31 of 31 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-04T06:34:03.388597+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-04T01:13:50.581744Z

measured 0 of 1 external citation measurements

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

Source: cited_works

Reference resolution

30 of 30 outbound references displayed

  • verified exact26
  • verified fuzzy2
  • unresolved2
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 7ab67d8d-14a1-4a94-b510-c13a18ffdb12 · outbound

This paper cites Navas et al.,Review of particle physics,Phys.

Four-loop QCD mixing of current-current operators Navas et al.,Review of particle physics,Phys

Reference 1

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raw_fallback, observed 2026-05-21T12:55:09.843784Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

source=pdf_text observed=2026-05-10T07:41:15.280761Z digest=sha256:e899a88b7745ba04043cfc478d614d90cab581093abe1c5a6a45503808e925e9

Observation c03edf0c-2b8a-4d6b-ba18-9c24f8b6701e · outbound

This paper cites Updated Standard Model Prediction for $K \to \pi \nu \bar{\nu}$ and $\epsilon_K$.

Four-loop QCD mixing of current-current operators Updated Standard Model Prediction for $K \to \pi \nu \bar{\nu}$ and $\epsilon_K$

Reference 2

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arxiv_id, observed 2026-05-10T07:47:12.705371Z

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No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

source=pdf_text observed=2026-05-10T07:41:15.280761Z digest=sha256:80928aba4c96b3839c979f980b2ee914907bca79743e5705552636cc9e7be12e

Observation 5ba88c66-bfb1-44b9-94c9-cf0a74d7d60e · outbound

This paper cites FLAG Review 2024.

Four-loop QCD mixing of current-current operators FLAG Review 2024

Reference 3

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arxiv_id, observed 2026-05-16T00:40:54.516647Z

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No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

source=pdf_text observed=2026-05-10T07:41:15.280761Z digest=sha256:aba2948547ea4048b4deadb613ef7a0ac54d7ddfe603b5f06eb68b92390a17b9

Observation 1e5f00d9-b005-423d-ab9b-8b62b7a60839 · outbound

This paper cites Kaon mixing beyond the standard model with physical masses.

Four-loop QCD mixing of current-current operators Kaon mixing beyond the standard model with physical masses

Reference 4

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arxiv_id, observed 2026-05-10T07:47:12.720585Z

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No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

source=pdf_text observed=2026-05-10T07:41:15.280761Z digest=sha256:d803425ded25dcbd7983f5fb1b74a3a6b13e085f407b76bb639cf105285ad838

Observation c54e18c9-722a-43f1-afcc-320c440c55cc · outbound

This paper cites RI-(S)MOM to $\overline{\rm MS}$ conversion for $B_K$ at two-loop order.

Four-loop QCD mixing of current-current operators RI-(S)MOM to $\overline{\rm MS}$ conversion for $B_K$ at two-loop order

Reference 5

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arxiv_id, observed 2026-05-10T07:47:12.718137Z

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No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

source=pdf_text observed=2026-05-10T07:41:15.280761Z digest=sha256:d03ced206da050e37e33675273c2bd50ccaa02190721a1ea17a0bd4a34a323c7

Observation 78899e43-0a96-4556-93d8-20728cb4a390 · outbound

This paper cites Standard-model prediction of $\epsilon_K$ with manifest CKM unitarity.

Four-loop QCD mixing of current-current operators Standard-model prediction of $\epsilon_K$ with manifest CKM unitarity

Reference 6

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arxiv_id, observed 2026-05-10T07:47:12.723249Z

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source=pdf_text observed=2026-05-10T07:41:15.280761Z digest=sha256:332c8f5e6de70c0a1012afa991c23b4ae1683cdbe7d0a6e1f0c6eb52f935e7b1

Observation 673493b1-c28b-473c-b221-c8d93402eee4 · outbound

This paper cites an unresolved cited work.

Four-loop QCD mixing of current-current operators Unresolved cited work

Reference 7

Resolution
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raw_fallback, observed 2026-05-21T12:55:09.839337Z

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No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

source=pdf_text observed=2026-05-10T07:41:15.280761Z digest=sha256:4a11c92361eb7f079e221a09d9022919861ad3df80fc2395aca4bbfcd7c974ff

Observation 9da90fbe-c025-4d1f-9bf1-8914737a44d2 · outbound

This paper cites Two-loop Electroweak Corrections to the Top-Quark Contribution to $\epsilon_K$.

Four-loop QCD mixing of current-current operators Two-loop Electroweak Corrections to the Top-Quark Contribution to $\epsilon_K$

Reference 8

Resolution
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arxiv_id, observed 2026-05-10T07:47:12.693031Z

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No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

source=pdf_text observed=2026-05-10T07:41:15.280761Z digest=sha256:35291fe294bfa3729f6631637fbef842e587b613fd058b75314433a700da263a

Observation f1610dba-08a4-4df1-ae19-4c0940260c89 · outbound

This paper cites Enhancement of the $K_L$ -- $K_S$ Mass Difference by Short Distance QCD Corrections Beyond Leading Logarithms.

Four-loop QCD mixing of current-current operators Enhancement of the $K_L$ -- $K_S$ Mass Difference by Short Distance QCD Corrections Beyond Leading Logarithms

Reference 9

Resolution
verified exact
arxiv_id, observed 2026-07-04T15:55:52.122912Z

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No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

source=pdf_text observed=2026-05-10T07:41:15.280761Z digest=sha256:818847b3f2751c8f533b8494a0c667e46eda0caf339e41147d9e9709c3a395c7

Observation da531de4-776f-4fb5-a683-57b7180dad7b · outbound

This paper cites The Complete |Delta S|=2 Hamiltonian in the Next-To-Leading Order.

Four-loop QCD mixing of current-current operators The Complete |Delta S|=2 Hamiltonian in the Next-To-Leading Order

Reference 10

Resolution
verified exact
arxiv_id, observed 2026-07-04T16:01:32.789455Z

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No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

source=pdf_text observed=2026-05-10T07:41:15.280761Z digest=sha256:803bab1ff4f216b0e550ffc8297d67c26b0e86245231f5b20c3aa701bbf58c1a

Observation 8840a1af-098d-49d9-a997-bf40ee886f40 · outbound

This paper cites Epsilon_K at Next-to-Next-to-Leading Order: The Charm-Top-Quark Contribution.

Four-loop QCD mixing of current-current operators Epsilon_K at Next-to-Next-to-Leading Order: The Charm-Top-Quark Contribution

Reference 11

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arxiv_id, observed 2026-07-04T17:39:19.079691Z

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No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

source=pdf_text observed=2026-05-10T07:41:15.280761Z digest=sha256:bae12adcec15454be907c37b2ef6824e1eb34c454461e041cffcffa0dc1eeda1

Observation 92657350-4b0a-4823-bd2f-e02d066730b2 · outbound

This paper cites Electroweak Corrections to the Charm-Top-Quark Contribution to $\epsilon_K$.

Four-loop QCD mixing of current-current operators Electroweak Corrections to the Charm-Top-Quark Contribution to $\epsilon_K$

Reference 12

Resolution
verified exact
arxiv_id, observed 2026-05-10T07:47:12.713115Z

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No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

source=pdf_text observed=2026-05-10T07:41:15.280761Z digest=sha256:7c57910ca242d48d550521766f39a3604972a3520f84c63247f72eaa1379c7c6

Observation 97fbc838-168e-4f14-92f5-f5b5280d6b31 · outbound

This paper cites Next-to-Next-to-Leading-Order Charm-Quark Contribution to the CP Violation Parameter epsilon_K and Delta M_K.

Four-loop QCD mixing of current-current operators Next-to-Next-to-Leading-Order Charm-Quark Contribution to the CP Violation Parameter epsilon_K and Delta M_K

Reference 13

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verified exact
arxiv_id, observed 2026-07-04T18:03:20.187602Z

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No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

source=pdf_text observed=2026-05-10T07:41:15.280761Z digest=sha256:01113247828138ed6567f4207ca4c5db5097f366f76e3cacb3eb4123ca731d00

Observation 75dbb36b-29f1-4b3f-87d8-bae2483a01db · outbound

This paper cites |Delta F| = 1 Nonleptonic Effective Hamiltonian in a Simpler Scheme.

Four-loop QCD mixing of current-current operators |Delta F| = 1 Nonleptonic Effective Hamiltonian in a Simpler Scheme

Reference 14

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arxiv_id, observed 2026-05-10T07:47:12.690622Z

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No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

source=pdf_text observed=2026-05-10T07:41:15.280761Z digest=sha256:e2ab88b30f66720d4e10d4ef3276c64598b1cc110002960f66181b5436cf5e43

Observation 80b8d76d-17ce-405d-85e9-c16a94df4aa7 · outbound

This paper cites Effective Hamiltonian for Non-Leptonic |Delta F| = 1 Decays at NNLO in QCD.

Four-loop QCD mixing of current-current operators Effective Hamiltonian for Non-Leptonic |Delta F| = 1 Decays at NNLO in QCD

Reference 15

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arxiv_id, observed 2026-05-10T07:47:12.697830Z

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No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

source=pdf_text observed=2026-05-10T07:41:15.280761Z digest=sha256:c9fa11ab723008b337890a37d9dc4a32cb5ed4e53e830a0af05f20bb4315aaca

Observation 21407bbc-4988-440d-ad0c-79f3139e0a67 · outbound

This paper cites Photonic penguins at two loops and m_t-dependence of BR[ B -> X_s l^+ l^-].

Four-loop QCD mixing of current-current operators Photonic penguins at two loops and m_t-dependence of BR[ B -> X_s l^+ l^-]

Reference 16

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arxiv_id, observed 2026-05-10T07:47:12.681105Z

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No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

source=pdf_text observed=2026-05-10T07:41:15.280761Z digest=sha256:a8ca37782ff90a976119a48f867d076f781c47b843e1b9ff74ac0af6cd65a86e

Observation 92f68e51-7cbe-4988-9898-1c2b55362e74 · outbound

This paper cites MaRTIn -- Manual for the "Massive Recursive Tensor Integration".

Four-loop QCD mixing of current-current operators MaRTIn -- Manual for the "Massive Recursive Tensor Integration"

Reference 17

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arxiv_id, observed 2026-05-10T07:47:12.685833Z

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No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

source=pdf_text observed=2026-05-10T07:41:15.280761Z digest=sha256:ce28ec16dd5e2fe839f0c3d38b13d7ce9fde0d840b76a8d43954d89cf16e233a

Observation 1f5cb859-2d5d-4d26-a6d4-0bd2b404203a · outbound

This paper cites New features of FORM.

Four-loop QCD mixing of current-current operators New features of FORM

Reference 18

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arxiv_id, observed 2026-05-10T07:47:12.715485Z

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No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

source=pdf_text observed=2026-05-10T07:41:15.280761Z digest=sha256:6ce7d94b72bbfd97965781277a340432e3d58b07c08a914c1d0d1e10788dc988

Observation 142b9d69-f59c-4575-b393-b7ef93703279 · outbound

This paper cites Davies, T.

Four-loop QCD mixing of current-current operators Davies, T

Reference 19

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arxiv_id, observed 2026-05-10T07:47:12.695395Z

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No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

source=pdf_text observed=2026-05-10T07:41:15.280761Z digest=sha256:b79461ecfc2c0f9d365bb994cc1136e64ff45726b3b0789a4407600cafbec52e

Observation 118b7b01-85ec-4a21-94bd-250cca89ce3f · outbound

This paper cites FMFT: Fully Massive Four-loop Tadpoles.

Four-loop QCD mixing of current-current operators FMFT: Fully Massive Four-loop Tadpoles

Reference 20

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arxiv_id, observed 2026-07-04T22:31:06.835687Z

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No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

source=pdf_text observed=2026-05-10T07:41:15.280761Z digest=sha256:16447eec5c1f5b77ca544a5b1854bbce3939a22eb696b6989eefa7adb83f44ac

Observation 346c1703-0780-4856-b9ce-144f8e2feb44 · outbound

This paper cites The Four-Loop QCD Beta-Function and Anomalous Dimensions.

Four-loop QCD mixing of current-current operators The Four-Loop QCD Beta-Function and Anomalous Dimensions

Reference 21

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arxiv_id, observed 2026-05-10T07:47:12.707783Z

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No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

source=pdf_text observed=2026-05-10T07:41:15.280761Z digest=sha256:ea99a62846724de04888ae33e29c92d8428c718f2ea55129a83e6144757b057e

Observation dbd3feea-906b-4eb8-bb57-0e178403b893 · outbound

This paper cites Nogueira,Automatic Feynman graph generation,J.

Four-loop QCD mixing of current-current operators Nogueira,Automatic Feynman graph generation,J

Reference 22

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raw_fallback, observed 2026-05-21T12:55:09.846022Z

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No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

source=pdf_text observed=2026-05-10T07:41:15.280761Z digest=sha256:eb9620af172659a4ed73292b6a8923231e6f3f831ac323da2da37583769f5f8d

Observation a330ce22-4443-4040-858f-7b37f2b0880d · outbound

This paper cites Beta functions and anomalous dimensions up to three loops.

Four-loop QCD mixing of current-current operators Beta functions and anomalous dimensions up to three loops

Reference 23

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arxiv_id, observed 2026-07-04T16:05:17.405599Z

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No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

source=pdf_text observed=2026-05-10T07:41:15.280761Z digest=sha256:2a9e8289b72020b205f73ba92a3082d2b6f29e49493e66eb61660afc0379bfa5

Observation d440707c-cd94-431b-8236-e9c2a602d611 · outbound

This paper cites an unresolved cited work.

Four-loop QCD mixing of current-current operators Unresolved cited work

Reference 24

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raw_fallback, observed 2026-05-21T12:55:09.841668Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

source=pdf_text observed=2026-05-10T07:41:15.280761Z digest=sha256:3f2db46873e14a6b3f539461cb5663b7ff016097c6efaa02d2a69d8d7a86a86f

Observation 510345c8-5dfb-4859-b937-70457a40dba3 · outbound

This paper cites Evanescent Operators, Scheme Dependences and Double Insertions.

Four-loop QCD mixing of current-current operators Evanescent Operators, Scheme Dependences and Double Insertions

Reference 25

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arxiv_id, observed 2026-05-10T07:47:12.678747Z

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No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

source=pdf_text observed=2026-05-10T07:41:15.280761Z digest=sha256:a050c86f2174d1ba0165c96ea790c5f88821c9904b9ce2175960149b998db916

Observation 12105249-7b05-4675-834d-0d9243ab2c9c · outbound

This paper cites The Two-Loop Anomalous Dimension Matrix for $\Delta S=1$ Weak Non-Leptonic Decays I: ${\cal O}(\alpha_s^2)$.

Four-loop QCD mixing of current-current operators The Two-Loop Anomalous Dimension Matrix for $\Delta S=1$ Weak Non-Leptonic Decays I: ${\cal O}(\alpha_s^2)$

Reference 26

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verified exact
arxiv_id, observed 2026-05-10T07:47:12.667106Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

source=pdf_text observed=2026-05-10T07:41:15.280761Z digest=sha256:e12177c9971b63498a89be879ec130c0b250d48006f49e7ad939fd7a4f418fff

Observation 3d65a2f3-9f73-4b15-8565-047beeeedb0f · outbound

This paper cites The $\Delta S=1$ Effective Hamiltonian Including Next-to-Leading Order QCD and QED Corrections.

Four-loop QCD mixing of current-current operators The $\Delta S=1$ Effective Hamiltonian Including Next-to-Leading Order QCD and QED Corrections

Reference 27

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arxiv_id, observed 2026-05-10T07:47:12.674136Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

source=pdf_text observed=2026-05-10T07:41:15.280761Z digest=sha256:e7fdd5347cc1c11f10d18e1bf7010c6344dc4bb9627c2e0aa6ed63201129be06

Observation 2d612ae8-2c1b-43bc-93bc-eaaa1b826a0c · outbound

This paper cites Anomalous Dimension Matrix for Radiative and Rare Semileptonic B Decays up to Three Loops.

Four-loop QCD mixing of current-current operators Anomalous Dimension Matrix for Radiative and Rare Semileptonic B Decays up to Three Loops

Reference 28

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arxiv_id, observed 2026-05-10T07:47:12.676437Z

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No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

source=pdf_text observed=2026-05-10T07:41:15.280761Z digest=sha256:d91a9435417c9da96a7b111c73fbde9513e38cca12a5c12bf07217133ca05a43

Observation 6215d190-980a-4c83-b663-7c6baffb2582 · outbound

This paper cites Weak Radiative B-Meson Decay Beyond Leading Logarithms.

Four-loop QCD mixing of current-current operators Weak Radiative B-Meson Decay Beyond Leading Logarithms

Reference 29

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arxiv_id, observed 2026-05-10T07:47:12.671683Z

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No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

source=pdf_text observed=2026-05-10T07:41:15.280761Z digest=sha256:00a2817f341c15f01f93185c61dd83cd2af3b82282d3136a56505aa0684df744

Observation c1e2e709-9677-49f2-9df0-622a25733468 · outbound

This paper cites Charm Quark Contribution to K+ -> pi+ nu anti-nu at Next-to-Next-to-Leading Order.

Four-loop QCD mixing of current-current operators Charm Quark Contribution to K+ -> pi+ nu anti-nu at Next-to-Next-to-Leading Order

Reference 30

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arxiv_id, observed 2026-05-10T07:47:12.669406Z

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No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

source=pdf_text observed=2026-05-10T07:41:15.280761Z digest=sha256:8c98e7fe598bd5f52f8cc8faf445becb86668f9af561a33aebf291f307ec9171

Pith citing papers

Observation 7df7d602-5350-4ec1-b848-c73bd95dce67 · inbound

The flavour of SU(15) composite quarks and leptons cites this paper.

The flavour of SU(15) composite quarks and leptons Four-loop QCD mixing of current-current operators

Reference 81

Resolution
unresolved
no resolver link, observed 2026-08-04T01:13:50.581744Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-04T01:13:50.581744Z digest=sha256:21f2abdfc4658a0b60326d9262f1c716827092cbb27e6ee33bbca99cbb8bb84a