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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 23 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 2026-08-23T06:30:58.430688+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=sha256:8228c575b6d08cea89054efd18b78be56cdb7446d3d40c274addd034cc6f157e

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 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-10T00:49:51.802609Z digest=sha256:9b19787a6ae4c5c1af139b4216825ce0bb6dedeaee895ba0651697ad923fee3a

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 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-10T00:49:51.807684Z digest=sha256:4c05fa1fda1ded576f0a66fcb12d0ca317b7ffc18925f2d368b0200f9462a672

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

Resolution
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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=sha256:10edfe7b7498d3810842171c132b392e097bc576c2f2301f4dd7ac78ae69aa2c

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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source=pdf_text observed=2026-08-10T00:49:51.817918Z digest=sha256:c3ed4d9777f1e115b6fe70dadbec788231a0980f91fb6735faa4413692ff6662

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:c2e73ffbda8fb25d1506cb641ef19b86ddc288077cc21f0c96012840199ec429

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 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-10T00:49:51.828278Z digest=sha256:25d68ca896107cc3842d15353ef33cfd32c367a894b89ed7382dd6d806680647

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

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No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-10T00:49:51.832959Z digest=sha256:1d6c99aecac0979e01100e191928fc287e8cb5e2b33e18dc538427985db3b8e9

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 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-10T00:49:51.837554Z digest=sha256:6ea1eb7b3abc344fcb0646ac01c29daecd4e90b22739c816b7dd74f4f26193fe

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:b82fe1d141d9371f66f13cdce3b0078fc6fd6ace490b6dfd03ad77ec59c2d025

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 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-10T00:49:51.846566Z digest=sha256:747930fa40471d4f56efddd24295ff4342c1f44984b8c9eab8dd536c16c974dc

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=sha256:2be18a7357ca3782c3f63135b722c2fc2784b24152505e25d3f477de852e459b

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

Resolution
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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=sha256:117a46298b93be6378564cf944273ad27061655e2ff1ecd93f45085863eb1416

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=sha256:7532dae0b58bb9fec6dd473d01848c0de9d4b2f0d6f4b8bc3eb4743cc15da763

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 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-10T00:49:51.865647Z digest=sha256:54838caecb55fb5a1af722b8d52e27adbcdb3c2108a596e402b29138b479cf01

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 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-10T00:49:51.870102Z digest=sha256:7542ed792e1613ebd1e1fbbe7c1002b8c2b5992f8f8d16ad1dd0938c564fbfe7

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=sha256:8fe4a9e38fe120c4bb031338fc5d7e46aa77a5e8ee237ba791869d66291de07e

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

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Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-10T00:49:51.879092Z digest=sha256:e7257e8b19df939481412b627c5426409f74d71014625d6a3db862ae07ddfd94

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=sha256:54f211bf0a1f315dd666f4a189756bff1c325f60074d4adb67b2cdb22592fd39

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 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-10T00:49:51.888403Z digest=sha256:e3c1e3bbc6f1db775f3f8ba2d26f440566faaf1b0bb50feee1ea989bd496e074

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=sha256:6ee893cc2ead0a92145e6ff9dac25b46a0c71dbf3a25f98a45b85ba74f8c1d0f

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=sha256:1eec4bc05cdb1e324ff7e276ee25fed952136fedb0ded0a8d15ee9d9348b4f3d

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 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-10T00:49:51.902354Z digest=sha256:9edb6ed1b11022b67ac88994e185ae5971b7ad6347c6d3456773dc79778b82a5

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 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-09T20:39:22.963687Z digest=sha256:a244bb0e3ce2a41919bc1283e26c8adb7ce2586a4c5ec8d760951226eeec4306