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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 12 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 2026-08-12T06:34:41.77262+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:e65ec0092cde0a8e54f8e0a04695811a48e7bde20f6b7d54a77c45a3b5861cb3

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-10T00:49:51.802609Z digest=sha256:b89d9bb173799b4e4cd24ad4f3b0b4df92bd2d46ef5998dc618ec500ddac4dea

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-10T00:49:51.807684Z digest=sha256:aefdb80d6cd4e4c7079e3275b111f770f44989029fb88c6213fe5d19f6c09acd

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

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-10T00:49:51.812858Z digest=sha256:dbad9f188f221d610e36c7552b7be206c6e4f8a95d2c86ad1f922ac4cbb3280b

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

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-10T00:49:51.817918Z digest=sha256:80e6cb7479dbc31d986a88161aea69752be4dadc267983d1800bc2521d5ed15a

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=sha256:6b72f5ae38ba696d6d37430efdd985949abd957a6fb7ab6dce61ed0916b421cf

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-10T00:49:51.828278Z digest=sha256:d72ff53e63b3e7c422d4d1d5d08841b0489dc54a60b9c08c4d04d39ff25f189c

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-10T00:49:51.832959Z digest=sha256:972058f6d9b80173181ffc5a215e9d45351a0ee7b8917cdc1c9ffb7cc495c1d1

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-10T00:49:51.837554Z digest=sha256:c09f1433e0c75a0830f91c7c591c42c6f0be841b52e7a7202c48670cdc4b9344

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

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-10T00:49:51.841942Z digest=sha256:ff832d9f87e8731c3daa96697188a749dc5fddd364a4f4c07b4ad5be8f72c8ae

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-10T00:49:51.846566Z digest=sha256:8ac866b8b659a34944c3852ca9b5534c7350ec6d98172c62456021386f5bb708

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

Resolution
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=sha256:241a79f9cd76fcbaaa64896e65e7209ad5c6303d07c179a237054ce8ed16fe41

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:e06e444c3a466374df3f85499d6650185b801882d9a037037a463575202e6f21

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=sha256:1412f7760aecb9b68f98f8cb46fe6cca0b72c55b777c37d1f6a915813f1c2723

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-10T00:49:51.865647Z digest=sha256:77b0fa0ce49249458319a3022409fadb51209a29f4424374d0523b80bb44d78f

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-10T00:49:51.870102Z digest=sha256:f7ca52c78f3bf9e5d64f273a414bead8dc95fc82883b69415276a0eddff4c385

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:a5e3706723693398c470493171d691dbf21d3841397e07fe56b90855e4939d82

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=sha256:597862f5d50632add9a00e92f07d6d7d7f04362015b5ce0f47200945f494cead

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

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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=sha256:7909f608fe9dc05f211b4325f72e92c31d22fa561e4b553f83eef235659a4864

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-10T00:49:51.888403Z digest=sha256:bd6369bb4e97837ea550e62bdf2ebab3017350bd737c564f4e8e6b8c4dbac886

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=sha256:9f74a83a16d3f6c649366fa3b299ca5b677ba5c56f289918c67018a0d64804d9

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=sha256:96995bf778d8212a400d27040ad541d25a433c96ba373800259c971d77abf69e

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-10T00:49:51.902354Z digest=sha256:ca1e21fde919014b6c19e8329090f9245ea6919a14c4b739144454516f9f168d

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-09T20:39:22.963687Z digest=sha256:3409c53c190390d068dcb292bb82b2b62873605d139b4e2328b3cffb514b615a