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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=sha256:7271722bbad573bc3e40fb0b0fb682e14b36b90be9a666f08091c477ca3cb6f8

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:e381d0eec82407eb53788e65fccc65cdff4b5f90587cc364110117fa306a2160

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:dd4baa9e41570d6be15947cd718c4de8e60d146dd09a3b3c8c15bf4945f24a58

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

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-10T00:49:51.812858Z digest=sha256:7dadf55abba5e29e04168c5cf3cf3b816802d3aae00321015231cfb174c85359

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

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Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-10T00:49:51.817918Z digest=sha256:68e6a56d63c0f1ce2b124c041c9819a55adf17eec824e714e1d10b081a8bb049

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

Resolution
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=sha256:5ec7c82368f50f0add1ce70e826054e36dd4b2438caa7d894629512715e6bd9e

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:a7eff2f70ff640ea8ce2df0f510c58f24a47c9bb833d89199f33babf5cdf7d2e

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:db671fcde3f40af7154b16a3046184cfd6edc6fecc2401654b24feb6d48a79ed

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:e604de1d2d31378d1b0eae7ecd94207eded37ed7481975735bd5718975a37e7d

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

Resolution
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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=sha256:79ccda03ed1a924e519aada6a7b26044fec1f323272496dee0d2f27df4f490af

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:f1efc2583e1fd7f9da81fcdc0bf001c294f3deddd75c9b725b76562a0764d43b

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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Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-10T00:49:51.851407Z digest=sha256:3be2a13ef67e8bec28ffa0380c9602f81d5cf924b53e24469e9a34e5f4f9c1c0

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=sha256:43c70e48f36c870baffed805e95e1a0ab32b79054a582c32377a070ddd584c26

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=sha256:0837e10629b2292bfad2e4d8db98e624fddf46a2ec073fc0f3811c4192cf60cb

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=sha256:4342b549e4762074064bfc1f4ae363e29bc6a658ef9057525342a0af9be5ae83

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

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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=sha256:7233e64c8fb236c41ff3bd61d7f0898e2d896289b461d8bd5f8f934a0c29e876

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=sha256:1a9b1fe8aa8c02bdd0ae70585bc3c5e63c39049748871aab49f6e2fc109a73d0

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

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

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-10T00:49:51.879092Z digest=sha256:58162a164a912487c8292ea6d9cd6720a9ae350c1bb3e5794e4e2c4c76495485

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

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-10T00:49:51.883718Z digest=sha256:41256a8d5d705872240a49a105dac0beecb09f1e6245b39b8d9d63b389e08b0e

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=sha256:3e318320364438e9de789fd99e96f28cfd77635124e63372b4667f535c5946ac

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:c8d1323e2b93b84b38b8838b717a92100127f1d0ed01fe44dc93f370eb3e1044

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

Resolution
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=sha256:106a4873f56731892aa582943d10100a02aa101b1ff6ded3aa4f18d3a8176897

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:e9b402c694f2583bf37edf722efa5152248de00fe381596a419a17346bfb9794

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=sha256:0c5a3b7360874887ccc27e0206b41ff21017e055a772cebc7e8e92901c168433