Pith. sign in

Paper Citation Record · LEDGER

Four-loop QCD mixing of current-current operators

As of 14 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 2026-08-14T06:32:32.682623+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

Resolution
verified fuzzy
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 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-05-10T07:41:15.280761Z digest=sha256:c50b23d2675e54091d2a2287521969aa417cc2d13d6060287054b02e5d69e612

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

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

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-05-10T07:41:15.280761Z digest=sha256:5c89272d2b4dd624a367e877af20a918584ec3ade0fc1a2670b8678d9fbc5430

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

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

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-05-10T07:41:15.280761Z digest=sha256:a5edf3c1dc310f3d6733f8006760047fa2f6d7c6dbcb4514c3efb5ddf21cf365

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

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

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-05-10T07:41:15.280761Z digest=sha256:eca9057add901f6cd6902b85217b32b1936b581d0a3855e88137a18e8091e9f4

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

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

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-05-10T07:41:15.280761Z digest=sha256:fe7e91c6d6bfc3f5adb6abc89bbe5dbf498b76660d5d729bcbb61d7fb4cf12c7

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

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

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-05-10T07:41:15.280761Z digest=sha256:52102e6e458809ce9cde75187d64853d2c4da0a9fb405c0e3c2e9ad2b247afc8

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

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-05-10T07:41:15.280761Z digest=sha256:b5f6a45948b6b8fdd8f9c1b70a574483fee913a160fe8f538d93c94c075231e2

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

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-05-10T07:41:15.280761Z digest=sha256:751622acdb925ce09753d0b207fce62c293f25ead101bbe4cd85436730d9006c

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

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-05-10T07:41:15.280761Z digest=sha256:fc146b6f53ceba5d5c135cafc4a8c5c6ad6c723c529e2d75ffa59ba41375af0b

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

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-05-10T07:41:15.280761Z digest=sha256:96c05e99324e1d49e9f797dc3e87638cdc3ab3c03cead33b4ea5fe91e2e44448

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

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

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-05-10T07:41:15.280761Z digest=sha256:c3dc62c565bf2040b8d011614fd6f3f3c2c06673e1c09093d132322e7fd7544a

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

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-05-10T07:41:15.280761Z digest=sha256:0daaae278fef424f81a0c10b4fc84787af3764c6b54c234bbb0d964ff24fb784

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

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

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-05-10T07:41:15.280761Z digest=sha256:c2aee027a77a7b26c9e06aeb7cc2a25a156f7d0da8335dac2d19869ffb8749cc

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

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

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-05-10T07:41:15.280761Z digest=sha256:bdef25f78d318cc13fc26ae28d405ae5d12ef661120820f258a619748309cc9c

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

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

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-05-10T07:41:15.280761Z digest=sha256:7a643896b4fd71c65480f334f72a7e82cc1412203bf6cb3e2288fa34164b075b

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

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

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-05-10T07:41:15.280761Z digest=sha256:18a945923a73727e656c769c9459327addbbdbc10acb817b849820e058476b26

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

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

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-05-10T07:41:15.280761Z digest=sha256:50b480ad5bb1d20d6ae899cd8225ab9e30ee4c028cb903b12471a49578ddd35f

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

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

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-05-10T07:41:15.280761Z digest=sha256:8f0576cb6ca1c5e4368108896c2f2dec497e00841c7a1308bd40e701321233e9

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

This paper cites Davies, T.

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

Reference 19

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

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-05-10T07:41:15.280761Z digest=sha256:9a81232adb32504cf04d943333f117fab7742193285701d07e162bf223d96f8b

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

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

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-05-10T07:41:15.280761Z digest=sha256:950be10773af43a667c39b888430487f9050089f2f5e0d86558256324ca793a4

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

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

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-05-10T07:41:15.280761Z digest=sha256:da46703c68c3df7c3db1470cafae73cba50a91dfd0e6c87e5928fa06afa2e31a

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

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

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-05-10T07:41:15.280761Z digest=sha256:0f1ecb45e2c2f8d20fefbea364da86585bf1f27193a51038e1714edabab5f25a

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

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

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-05-10T07:41:15.280761Z digest=sha256:ef66fc59c8723b1d4786bd5cc693ba65453bde940a28cab88bf5b902bf1184ee

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

Resolution
unresolved
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 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-05-10T07:41:15.280761Z digest=sha256:6ed8f3622fbecc78589fcd5cafe4d496405a3210f422aba7f9cd0fb029251153

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

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

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-05-10T07:41:15.280761Z digest=sha256:5b3940e5dd6588a7f021abca797fc94fe2d2eba5d02c9e83c7f8612a646a7e0f

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

Resolution
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 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-05-10T07:41:15.280761Z digest=sha256:2d69fd6ae86b67350c891ab79f0bc0b0f2f8c6fc40278b6648f7a605bda4fb65

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

Resolution
verified exact
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 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-05-10T07:41:15.280761Z digest=sha256:9cfc53d3f0bb2f696ea9a49de249dc178bd4ee493bd0439e8a0a34519f6f8ea8

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

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

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-05-10T07:41:15.280761Z digest=sha256:43db11a15ede50d07b838bc3c32b56317949d8899f92b1efb941da5fdfab4a24

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

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

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-05-10T07:41:15.280761Z digest=sha256:14f151d46775f73273e510407990a4bcd680cbd7a2e87266295028dd640ff488

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

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

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-05-10T07:41:15.280761Z digest=sha256:a8c2741ab506b809a44221c7726c8bd86d311c5a38b742deecf0cc7f6f9599ce

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=sha256:252c97242532a3979a93118ce62e6dba9d9fa382eebdcaad1b42a5256f87794e