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Paper Citation Record · LEDGER

$\Delta I =1/2$ process of $K\to\pi\pi$ decay on multiple ensembles with periodic boundary conditions

As of 10 August 2026, this Paper Citation Record lists 23 of 23 outbound references and 1 inbound Pith citation observation for arXiv:2501.18077.

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

pith.paper-citation-record.v1
2501.18077 v1

Coverage vector

measured 23 of 23 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-10T00:49:51.902354Z

measured 24 of 24 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-10T06:31:04.303077+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-09T20:39:22.963687Z

measured 0 of 1 external citation measurements

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

Source: pith, observed 2026-08-09T20:39:23.747738Z

Reference resolution

23 of 23 outbound references displayed

  • verified exact9
  • verified fuzzy1
  • unresolved12
  • parse uncertain0
  • malformed identifier1
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 1c4b8c8f-c9ae-4223-9d89-4fabc292ed67 · outbound

This paper cites $\Delta I = 3/2$ and $\Delta I = 1/2$ channels of $K\to\pi\pi$ decay at the physical point with periodic boundary conditions.

$\Delta I =1/2$ process of $K\to\pi\pi$ decay on multiple ensembles with periodic boundary conditions $\Delta I = 3/2$ and $\Delta I = 1/2$ channels of $K\to\pi\pi$ decay at the physical point with periodic boundary conditions

Reference 1

Resolution
unresolved
no resolver link, observed 2026-08-10T00:49:51.797234Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-10T00:49:51.797234Z digest=sha256:377a6ce745d83aac3f978f3c01f0e8a8d151847f98669a7f49d5504bdeed0263

Observation 9f7d1dc9-c14e-40a2-b208-50b7692d7ef0 · outbound

This paper cites The $K\to(\pi\pi)_{I=2}$ Decay Amplitude from Lattice QCD.

$\Delta I =1/2$ process of $K\to\pi\pi$ decay on multiple ensembles with periodic boundary conditions The $K\to(\pi\pi)_{I=2}$ Decay Amplitude from Lattice QCD

Reference 2

Resolution
verified exact
local_arxiv, observed 2026-08-10T00:49:52.266613Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-10T00:49:51.802609Z digest=sha256:1836334f13b74f67d3fd893db5df20fd238b6703aefd455a15477fc47cf58777

Observation 62b2178e-4e05-42d2-8c39-e59a6fa8041d · outbound

This paper cites Lattice determination of the $K \to (\pi\pi)_{I=2}$ Decay Amplitude $A_2$.

$\Delta I =1/2$ process of $K\to\pi\pi$ decay on multiple ensembles with periodic boundary conditions Lattice determination of the $K \to (\pi\pi)_{I=2}$ Decay Amplitude $A_2$

Reference 3

Resolution
verified exact
local_arxiv, observed 2026-08-10T00:49:52.245486Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-10T00:49:51.807684Z digest=sha256:714882660454e601acbacef99ce66d313321e8086a7a73623df4e148ad432a9f

Observation 20c75090-13df-4f07-b332-e1e2e369a932 · outbound

This paper cites $K \rightarrow \pi\pi$ $\Delta I=3/2$ decay amplitude in the continuum limit.

$\Delta I =1/2$ process of $K\to\pi\pi$ decay on multiple ensembles with periodic boundary conditions $K \rightarrow \pi\pi$ $\Delta I=3/2$ decay amplitude in the continuum limit

Reference 4

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no resolver link, observed 2026-08-10T00:49:51.812858Z

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Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-10T00:49:51.812858Z digest=sha256:09303cb0dddecf9f96920c16849df7cf1e83d407c30c4505510a42873c7d744e

Observation efcc35ce-4c30-4764-b423-94c39c074265 · outbound

This paper cites Standard-model prediction for direct CP violation in $K\to\pi\pi$ decay.

$\Delta I =1/2$ process of $K\to\pi\pi$ decay on multiple ensembles with periodic boundary conditions Standard-model prediction for direct CP violation in $K\to\pi\pi$ decay

Reference 5

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unresolved
no resolver link, observed 2026-08-10T00:49:51.817918Z

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source=pdf_text observed=2026-08-10T00:49:51.817918Z digest=sha256:448919ee2d3031046572a9a061b565dbc5c9bafeb8acd2c9917b50bb7f6eca32

Observation 4bfce5e7-8cb2-45c9-9481-d77b9a10cfa7 · outbound

This paper cites Direct CP violation and the $\Delta I=1/2$ rule in $K\to\pi\pi$ decay from the Standard Model.

$\Delta I =1/2$ process of $K\to\pi\pi$ decay on multiple ensembles with periodic boundary conditions Direct CP violation and the $\Delta I=1/2$ rule in $K\to\pi\pi$ decay from the Standard Model

Reference 6

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unresolved
no resolver link, observed 2026-08-10T00:49:51.822788Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-10T00:49:51.822788Z digest=sha256:9ed653351f57e8b211465982c6ee4000ba42e32607a96871000f814efb14b637

Observation b191b51f-5e6c-4a02-bde6-bdb2cf06cd5a · outbound

This paper cites QED-corrected Lellouch-L\"uscher formula for $K \rightarrow \pi\pi$ decay.

$\Delta I =1/2$ process of $K\to\pi\pi$ decay on multiple ensembles with periodic boundary conditions QED-corrected Lellouch-L\"uscher formula for $K \rightarrow \pi\pi$ decay

Reference 7

Resolution
verified exact
local_arxiv, observed 2026-08-10T00:49:52.182341Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-10T00:49:51.828278Z digest=sha256:9c62334620fcf8b4f67ad4fb6dc43c3d97e9bdf4fe573b23bee9bf2aa1c9ec02

Observation 7bdeb396-6888-4da4-a3aa-4884ef73cf4f · outbound

This paper cites $\pi-\pi$ scattering, QED and finite-volume quantization.

$\Delta I =1/2$ process of $K\to\pi\pi$ decay on multiple ensembles with periodic boundary conditions $\pi-\pi$ scattering, QED and finite-volume quantization

Reference 8

Resolution
verified exact
local_arxiv, observed 2026-08-10T00:49:52.160638Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-10T00:49:51.832959Z digest=sha256:3295ea3b178bb0090d1695d4acc4ea3a304a925a8f1a4445f8933440f96d11a5

Observation 84f6d1df-3bf5-4b8f-8982-73a3e95dadcb · outbound

This paper cites Kelly, PoSLATTICE2024, 343 (2024).

$\Delta I =1/2$ process of $K\to\pi\pi$ decay on multiple ensembles with periodic boundary conditions Kelly, PoSLATTICE2024, 343 (2024)

Reference 9

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T00:49:52.295515Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-10T00:49:51.837554Z digest=sha256:ffd41db04402cf231c9dc9b558a425f1c025fe975e36d61c26681aa05a897c4a

Observation 85092787-fdd9-4d79-9a63-288cd71ecff0 · outbound

This paper cites Practical all-to-all propagators for lattice QCD.

$\Delta I =1/2$ process of $K\to\pi\pi$ decay on multiple ensembles with periodic boundary conditions Practical all-to-all propagators for lattice QCD

Reference 10

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no resolver link, observed 2026-08-10T00:49:51.841942Z

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Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-10T00:49:51.841942Z digest=sha256:214226e2a6a8f06a156fb5ae33c41472a4f0eac2c6076554f7087516f1be37d3

Observation 16ef9a2a-f16e-4340-9bc0-c54306bc2325 · outbound

This paper cites Lattice determination of $I= 0$ and 2 $\pi\pi$ scattering phase shifts with a physical pion mass.

$\Delta I =1/2$ process of $K\to\pi\pi$ decay on multiple ensembles with periodic boundary conditions Lattice determination of $I= 0$ and 2 $\pi\pi$ scattering phase shifts with a physical pion mass

Reference 11

Resolution
verified exact
local_arxiv, observed 2026-08-10T00:49:52.126468Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-10T00:49:51.846566Z digest=sha256:59c684df541f354531b1242f3b01f5e13ebe6a881ae9859fa356d7954df4766f

Observation 2e74a464-ba2b-4ec2-956e-731eb902e258 · outbound

This paper cites A new class of variance reduction techniques using lattice symmetries.

$\Delta I =1/2$ process of $K\to\pi\pi$ decay on multiple ensembles with periodic boundary conditions A new class of variance reduction techniques using lattice symmetries

Reference 12

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unresolved
no resolver link, observed 2026-08-10T00:49:51.851407Z

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source=pdf_text observed=2026-08-10T00:49:51.851407Z digest=sha256:fae0f00274f11c630144be07dab955e38de5960706fd79e8173a06d3a347ab4d

Observation 14473b42-19e0-4b46-8260-8909e65116f0 · outbound

This paper cites Covariant approximation averaging.

$\Delta I =1/2$ process of $K\to\pi\pi$ decay on multiple ensembles with periodic boundary conditions Covariant approximation averaging

Reference 13

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no resolver link, observed 2026-08-10T00:49:51.856008Z

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Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-10T00:49:51.856008Z digest=sha256:711c9d078ff109b986733340243874aa31bdf534518c85d4fb1d61dc5ff22662

Observation e7839713-5efa-4a52-844b-6956e632a9e0 · outbound

This paper cites Isospin 0 and 2 two-pion scattering at physical pion mass using all-to-all propagators with periodic boundary conditions in lattice QCD.

$\Delta I =1/2$ process of $K\to\pi\pi$ decay on multiple ensembles with periodic boundary conditions Isospin 0 and 2 two-pion scattering at physical pion mass using all-to-all propagators with periodic boundary conditions in lattice QCD

Reference 14

Resolution
unresolved
no resolver link, observed 2026-08-10T00:49:51.860884Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-10T00:49:51.860884Z digest=sha256:ea57ec8b840474bfc60478edff13b1e9c472a953974b9f9468fe8e22d9ad988e

Observation 8e784f2e-5fdf-4be4-93f1-c692c2b10b53 · outbound

This paper cites Mcglynn, PoSLATTICE2015, 019 (2016) doi:10.22323/1.251.0019 9 Δ𝐼 = 1/2 process of𝐾→𝜋𝜋 decay on multiple ensembles with periodic boundary conditions.

$\Delta I =1/2$ process of $K\to\pi\pi$ decay on multiple ensembles with periodic boundary conditions Mcglynn, PoSLATTICE2015, 019 (2016) doi:10.22323/1.251.0019 9 Δ𝐼 = 1/2 process of𝐾→𝜋𝜋 decay on multiple ensembles with periodic boundary conditions

Reference 15

Resolution
verified exact
doi, observed 2026-08-10T00:49:51.963413Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-10T00:49:51.865647Z digest=sha256:f2c99f160b10c58df30cdbf6f17b08212c74182ca77bbd2668c4dc49e6301f86

Observation 04ac7c90-6186-4ae2-ba59-e7efbdb86f47 · outbound

This paper cites Improving DWF Simulations: the Force Gradient Integrator and the M\"obius Accelerated DWF Solver.

$\Delta I =1/2$ process of $K\to\pi\pi$ decay on multiple ensembles with periodic boundary conditions Improving DWF Simulations: the Force Gradient Integrator and the M\"obius Accelerated DWF Solver

Reference 16

Resolution
verified exact
local_arxiv, observed 2026-08-10T00:49:52.064387Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-10T00:49:51.870102Z digest=sha256:8787ad53ade05599398dff241351bbdbb783d73d597cb502344881fd118965f1

Observation e7bde5d0-b1ce-42b7-a08a-6e868a6176a3 · outbound

This paper cites Luscher and U.

$\Delta I =1/2$ process of $K\to\pi\pi$ decay on multiple ensembles with periodic boundary conditions Luscher and U

Reference 17

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malformed identifier
no resolver link, observed 2026-08-10T00:49:51.874640Z

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Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-10T00:49:51.874640Z digest=sha256:3834ff2e9e51578c397bfbae0d79f6c770c8dc30bb231b4ce03313c4a6341a5a

Observation 571f5337-4a98-420f-a5d2-2d76b298d357 · outbound

This paper cites On the generalized eigenvalue method for energies and matrix elements in lattice field theory.

$\Delta I =1/2$ process of $K\to\pi\pi$ decay on multiple ensembles with periodic boundary conditions On the generalized eigenvalue method for energies and matrix elements in lattice field theory

Reference 18

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unresolved
no resolver link, observed 2026-08-10T00:49:51.879092Z

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Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-10T00:49:51.879092Z digest=sha256:e87d5f778222f3d4e968ddbff3f148e4fe34a42259aa2531f960f9dc35ba8137

Observation 060af63c-2a16-4089-b6f4-89de64ac88fc · outbound

This paper cites Weak transition matrix elements from finite-volume correlation functions.

$\Delta I =1/2$ process of $K\to\pi\pi$ decay on multiple ensembles with periodic boundary conditions Weak transition matrix elements from finite-volume correlation functions

Reference 19

Resolution
unresolved
no resolver link, observed 2026-08-10T00:49:51.883718Z

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Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-10T00:49:51.883718Z digest=sha256:04ad2477148ac9ccafb948adbd36af30041d7be42867f5d285508dd67c1e2296

Observation d35245d2-dc8b-43a0-8073-6a0a5bf160c8 · outbound

This paper cites Step Scaling with off-shell renormalisation.

$\Delta I =1/2$ process of $K\to\pi\pi$ decay on multiple ensembles with periodic boundary conditions Step Scaling with off-shell renormalisation

Reference 20

Resolution
verified exact
local_arxiv, observed 2026-08-10T00:49:52.014389Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-10T00:49:51.888403Z digest=sha256:0942919c2ca3b1c1c67384d571c85530c44074837c37c20e1626caaea159fba7

Observation 3ad115bb-b52b-4b61-a306-09424991f53e · outbound

This paper cites The Anatomy of $\varepsilon'/\varepsilon$ Beyond Leading Logarithms with Improved Hadronic Matrix Elements.

$\Delta I =1/2$ process of $K\to\pi\pi$ decay on multiple ensembles with periodic boundary conditions The Anatomy of $\varepsilon'/\varepsilon$ Beyond Leading Logarithms with Improved Hadronic Matrix Elements

Reference 21

Resolution
unresolved
no resolver link, observed 2026-08-10T00:49:51.892957Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-10T00:49:51.892957Z digest=sha256:5a2f8d7e1b9960f1dc0ea3a73921c80d84750ee5606cc0632a9997ac04900d09

Observation 97536d29-b0a0-4b7d-bfc1-488b66246300 · outbound

This paper cites Weak Decays Beyond Leading Logarithms.

$\Delta I =1/2$ process of $K\to\pi\pi$ decay on multiple ensembles with periodic boundary conditions Weak Decays Beyond Leading Logarithms

Reference 22

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unresolved
no resolver link, observed 2026-08-10T00:49:51.897750Z

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Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-10T00:49:51.897750Z digest=sha256:a7d6e7c95f0135b0a3065a169ba8e4be9f6610a14886d56b32238a4b1d3e8e49

Observation 365fcd26-2715-42ed-9aef-2cdada7451b3 · outbound

This paper cites Tomii, PoSLATTICE2019, 174 (2020) doi:10.22323/1.363.0174 10.

$\Delta I =1/2$ process of $K\to\pi\pi$ decay on multiple ensembles with periodic boundary conditions Tomii, PoSLATTICE2019, 174 (2020) doi:10.22323/1.363.0174 10

Reference 23

Resolution
verified exact
doi, observed 2026-08-10T00:49:51.937808Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-10T00:49:51.902354Z digest=sha256:29807547c9e6d42074a60a7fe410cb442bddd32fb41b400b2a0e1953d2137d8c

Pith citing papers

Observation 0ae6ca75-1ae1-41df-9c93-f8cf58423ca9 · inbound

From scattering towards multi-hadron weak decays cites this paper.

From scattering towards multi-hadron weak decays $\Delta I =1/2$ process of $K\to\pi\pi$ decay on multiple ensembles with periodic boundary conditions

Reference 79

Resolution
verified exact
local_arxiv, observed 2026-08-09T20:39:23.752452Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-09T20:39:22.963687Z digest=sha256:fb1d02ca8977da4c5bdfc6c5120bbac0a38f839ee0b58eb348b2b25e6eb94676