Paper Citation Record · LEDGER

Non-Perturbative $S$-matrix Renormalization

As of 6 August 2026, this Paper Citation Record lists 40 of 40 outbound references and 2 inbound Pith citation observations for arXiv:2509.00156.

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

pith.paper-citation-record.v1
2509.00156 v3

Coverage vector

measured 40 of 40 reference resolution

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Source: paper_references, paper_reference_links, observed 2026-08-05T14:06:23.178131Z

measured 42 of 42 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-06T06:34:29.942622+00:00

measured 2 of 2 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-05T14:06:22.893084Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-05-22T02:10:56.004956Z

Reference resolution

40 of 40 outbound references displayed

verified exact2
verified fuzzy7
unresolved29
parse uncertain0
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External citation measurements

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Outbound references

Observation 0c570cc6-e4c1-48bc-a985-f7643afdeb9b · outbound

This paper cites Kamefuchi, L.

Non-Perturbative $S$-matrix Renormalization Kamefuchi, L

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T14:06:25.551554Z

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Observation 7aceb817-ab90-44fa-beef-ba2bbe2a82d6 · outbound

This paper cites Chisholm, Nuclear Physics 26, 469 (1961).

Non-Perturbative $S$-matrix Renormalization Chisholm, Nuclear Physics 26, 469 (1961)

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T14:06:25.374002Z

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No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

Observation 4c0807b6-6cfb-48d4-bd2b-de36a9cc22f7 · outbound

This paper cites Arzt, Phys.

Non-Perturbative $S$-matrix Renormalization Arzt, Phys

Reference 3

Resolution: verified exact; raw_fallback, observed 2026-08-05T14:06:23.841223Z

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Observation a577a44b-6cfc-4d4f-9b62-75fcac501903 · outbound

This paper cites Banks and E.

Non-Perturbative $S$-matrix Renormalization Banks and E

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T14:06:25.220001Z

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Observation 055d7b00-263d-47cb-b8b4-02a52d76ccb9 · outbound

This paper cites Hughes, J.

Non-Perturbative $S$-matrix Renormalization Hughes, J

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T14:06:25.048063Z

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Observation 1adbda07-b3bb-4aaf-87e8-a24d4683eb62 · outbound

This paper cites Non-Perturbative $S$-matrix Renormalization.

Non-Perturbative $S$-matrix Renormalization Non-Perturbative $S$-matrix Renormalization

Reference 6

Resolution: unresolved; no resolver link, observed 2026-08-05T14:06:22.893084Z

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Observation 7c8e6604-ac18-463c-97be-26cbcd07c082 · outbound

This paper cites Polchinski, Nucl.

Non-Perturbative $S$-matrix Renormalization Polchinski, Nucl

Reference 7

Resolution: malformed identifier; no resolver link, observed 2026-08-05T14:06:22.929468Z

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Observation e7f13e72-dd4e-48b8-ba1f-306af8d8f007 · outbound

This paper cites Exact evolution equation for the effective potential.

Non-Perturbative $S$-matrix Renormalization Exact evolution equation for the effective potential

Reference 8

Resolution: unresolved; no resolver link, observed 2026-08-05T14:06:22.933184Z

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Observation 872e5cda-13f9-40d8-b331-a176280cee6e · outbound

This paper cites The Exact Renormalisation Group and Approximate Solutions.

Non-Perturbative $S$-matrix Renormalization The Exact Renormalisation Group and Approximate Solutions

Reference 9

Resolution: unresolved; no resolver link, observed 2026-08-05T14:06:22.937490Z

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Observation 8ee5dbbd-2cdb-47ac-8c5c-d112304a9b89 · outbound

This paper cites Ellwanger, Z.

Non-Perturbative $S$-matrix Renormalization Ellwanger, Z

Reference 10

Resolution: verified exact; raw_fallback, observed 2026-08-05T14:06:23.700458Z

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Observation d32472de-6306-484b-af94-e42d1c63dc55 · outbound

This paper cites The nonperturbative functional renormalization group and its applications.

Non-Perturbative $S$-matrix Renormalization The nonperturbative functional renormalization group and its applications

Reference 11

Resolution: unresolved; no resolver link, observed 2026-08-05T14:06:22.944377Z

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Observation c3a942e3-54f8-43e6-afee-de13c958f5c9 · outbound

This paper cites Four-quark scatterings in QCD I.

Non-Perturbative $S$-matrix Renormalization Four-quark scatterings in QCD I

Reference 12

Resolution: unresolved; no resolver link, observed 2026-08-05T14:06:22.948945Z

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Observation ee7e98dd-4104-4498-9757-15433a38e843 · outbound

This paper cites Four-quark scatterings in QCD II.

Non-Perturbative $S$-matrix Renormalization Four-quark scatterings in QCD II

Reference 13

Resolution: unresolved; no resolver link, observed 2026-08-05T14:06:22.952852Z

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Observation a264947a-c67e-4872-a9e2-bac9e95e19f1 · outbound

This paper cites Towards quantitative precision in functional QCD I.

Non-Perturbative $S$-matrix Renormalization Towards quantitative precision in functional QCD I

Reference 14

Resolution: unresolved; no resolver link, observed 2026-08-05T14:06:22.956537Z

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Observation b2d44b7c-650a-48d5-a0ac-f2b3b8a3e07b · outbound

This paper cites Four-quark scatterings in QCD III.

Non-Perturbative $S$-matrix Renormalization Four-quark scatterings in QCD III

Reference 15

Resolution: unresolved; no resolver link, observed 2026-08-05T14:06:22.960104Z

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Observation a4e7708c-aa1d-4bbc-95d4-771fcb04f5d2 · outbound

This paper cites Finite Quantum Gravity Amplitudes -- no strings attached.

Non-Perturbative $S$-matrix Renormalization Finite Quantum Gravity Amplitudes -- no strings attached

Reference 16

Resolution: unresolved; no resolver link, observed 2026-08-05T14:06:22.963283Z

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Observation 9fc35ac9-3aca-4806-a18d-3fa6b6f7fe15 · outbound

This paper cites Graviton-Mediated Scattering Amplitudes from the Quantum Effective Action.

Non-Perturbative $S$-matrix Renormalization Graviton-Mediated Scattering Amplitudes from the Quantum Effective Action

Reference 17

Resolution: unresolved; no resolver link, observed 2026-08-05T14:06:22.966596Z

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Observation 11e6e0e3-c5c0-4524-8206-3e6250fb8a26 · outbound

This paper cites $e^+ e^- \to \mu^+ \mu^-$ in the Asymptotically Safe Standard Model.

Non-Perturbative $S$-matrix Renormalization $e^+ e^- \to \mu^+ \mu^-$ in the Asymptotically Safe Standard Model

Reference 18

Resolution: unresolved; no resolver link, observed 2026-08-05T14:06:22.970711Z

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Observation dfbd5825-baec-4ca8-8b2c-3ec3a493257a · outbound

This paper cites Fehre, D.

Non-Perturbative $S$-matrix Renormalization Fehre, D

Reference 19

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T14:06:24.894711Z

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No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

Observation bcde0096-dfee-4f6b-846e-e046da3aea83 · outbound

This paper cites an unresolved cited work.

Non-Perturbative $S$-matrix Renormalization Unresolved cited work

Reference 20

Resolution: unresolved; raw_fallback, observed 2026-08-05T14:06:24.679766Z

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No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

Observation 025b5c11-8f44-4914-8e35-6e35decc5c3f · outbound

This paper cites Jevicki and C.-k.

Non-Perturbative $S$-matrix Renormalization Jevicki and C.-k

Reference 21

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T14:06:24.529727Z

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Observation 561a80a1-0dd7-4da8-8213-9f8ffa3b7062 · outbound

This paper cites an unresolved cited work.

Non-Perturbative $S$-matrix Renormalization Unresolved cited work

Reference 22

Resolution: unresolved; raw_fallback, observed 2026-08-05T14:06:24.387268Z

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Observation 5ba21b11-8898-416a-a18d-fc52a3b9dbaa · outbound

This paper cites Analytic Properties of Infrared-Finite Amplitudes in Theories with Long-Range Forces.

Non-Perturbative $S$-matrix Renormalization Analytic Properties of Infrared-Finite Amplitudes in Theories with Long-Range Forces

Reference 23

Resolution: unresolved; no resolver link, observed 2026-08-05T14:06:23.110786Z

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Observation 8ca52922-98ca-41b8-94c7-c5ea4b14ccbe · outbound

This paper cites The S-matrix and boundary correlators in flat space.

Non-Perturbative $S$-matrix Renormalization The S-matrix and boundary correlators in flat space

Reference 24

Resolution: unresolved; no resolver link, observed 2026-08-05T14:06:23.114431Z

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Observation 2a69b18d-ee12-4115-9d98-ca7a85fd396f · outbound

This paper cites S-Matrix Path Integral Approach to Symmetries and Soft Theorems.

Non-Perturbative $S$-matrix Renormalization S-Matrix Path Integral Approach to Symmetries and Soft Theorems

Reference 25

Resolution: unresolved; no resolver link, observed 2026-08-05T14:06:23.117801Z

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Observation 2672c93c-ea18-4766-bd65-42d16307fa94 · outbound

This paper cites Analytic continuation of functional renormalization group equations.

Non-Perturbative $S$-matrix Renormalization Analytic continuation of functional renormalization group equations

Reference 26

Resolution: metadata mismatch; local_arxiv, observed 2026-08-05T14:06:23.447540Z

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Observation f6028741-423c-4cf1-838f-99ca6096079f · outbound

This paper cites Asymptotically Safe Lorentzian Gravity.

Non-Perturbative $S$-matrix Renormalization Asymptotically Safe Lorentzian Gravity

Reference 27

Resolution: unresolved; no resolver link, observed 2026-08-05T14:06:23.125553Z

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Observation c77ab542-0574-4d5b-9254-12b0ef939b05 · outbound

This paper cites Lorentzian quantum gravity and the graviton spectral function.

Non-Perturbative $S$-matrix Renormalization Lorentzian quantum gravity and the graviton spectral function

Reference 28

Resolution: unresolved; no resolver link, observed 2026-08-05T14:06:23.129682Z

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Observation ffe5b850-675a-45db-82ad-3c610f0e20e5 · outbound

This paper cites An algebraic QFT approach to the Wetterich equation on Lorentzian manifolds.

Non-Perturbative $S$-matrix Renormalization An algebraic QFT approach to the Wetterich equation on Lorentzian manifolds

Reference 29

Resolution: unresolved; no resolver link, observed 2026-08-05T14:06:23.134364Z

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Observation 8e3dcc23-d34e-4062-8424-96f33c4e9892 · outbound

This paper cites Asymptotic Safety in Lorentzian quantum gravity.

Non-Perturbative $S$-matrix Renormalization Asymptotic Safety in Lorentzian quantum gravity

Reference 30

Resolution: unresolved; no resolver link, observed 2026-08-05T14:06:23.138505Z

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Observation dc754554-a31b-4fb0-822c-76b22f1528fc · outbound

This paper cites Foliated Asymptotically Safe Gravity: Lorentzian Signature Fluctuations from the Wick Rotation.

Non-Perturbative $S$-matrix Renormalization Foliated Asymptotically Safe Gravity: Lorentzian Signature Fluctuations from the Wick Rotation

Reference 31

Resolution: unresolved; no resolver link, observed 2026-08-05T14:06:23.142356Z

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Observation 27e98960-fd8a-46a8-b9ab-e70c85c6f8dc · outbound

This paper cites Aspects of the Functional Renormalisation Group.

Non-Perturbative $S$-matrix Renormalization Aspects of the Functional Renormalisation Group

Reference 32

Resolution: unresolved; no resolver link, observed 2026-08-05T14:06:23.145863Z

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Observation 19c630e4-82cc-4557-ba6c-7908706c4512 · outbound

This paper cites Gies, Lect.

Non-Perturbative $S$-matrix Renormalization Gies, Lect

Reference 33

Resolution: unresolved; no resolver link, observed 2026-08-05T14:06:23.149959Z

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Observation 558d0909-0d6e-4531-a799-71cc7c025e2c · outbound

This paper cites Functional flows for complex effective actions.

Non-Perturbative $S$-matrix Renormalization Functional flows for complex effective actions

Reference 34

Resolution: unresolved; no resolver link, observed 2026-08-05T14:06:23.153729Z

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Observation fd13d674-708c-4c26-aafa-ca1badf4e6a0 · outbound

This paper cites an unresolved cited work.

Non-Perturbative $S$-matrix Renormalization Unresolved cited work

Reference 35

Resolution: unresolved; raw_fallback, observed 2026-08-05T14:06:24.249193Z

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No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

Observation 3bef78c0-d3f4-48e3-8c6f-75722f609cdc · outbound

This paper cites Pawlowski and S.

Non-Perturbative $S$-matrix Renormalization Pawlowski and S

Reference 36

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T14:06:24.109248Z

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No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

Observation be2862a1-5cfb-43f3-9911-ff58dd0a6e80 · outbound

This paper cites an unresolved cited work.

Non-Perturbative $S$-matrix Renormalization Unresolved cited work

Reference 37

Resolution: unresolved; raw_fallback, observed 2026-08-05T14:06:23.958210Z

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No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

Observation 250745da-56a5-4b05-b8ee-7839fd4bb3bf · outbound

This paper cites Background Independent Field Quantization with Sequences of Gravity-Coupled Approximants.

Non-Perturbative $S$-matrix Renormalization Background Independent Field Quantization with Sequences of Gravity-Coupled Approximants

Reference 38

Resolution: unresolved; no resolver link, observed 2026-08-05T14:06:23.169602Z

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Observation d7f71e8b-00d8-4dd3-a386-0c48e46296bd · outbound

This paper cites The Vacuum Energy Density and Gravitational Entropy.

Non-Perturbative $S$-matrix Renormalization The Vacuum Energy Density and Gravitational Entropy

Reference 39

Resolution: unresolved; no resolver link, observed 2026-08-05T14:06:23.173934Z

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Observation 419a6f8b-3ff7-4303-80b8-ea3a28e98a9d · outbound

This paper cites The cosmological constant problem and the effective potential of a gravity-coupled scalar.

Non-Perturbative $S$-matrix Renormalization The cosmological constant problem and the effective potential of a gravity-coupled scalar

Reference 40

Resolution: unresolved; no resolver link, observed 2026-08-05T14:06:23.178131Z

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Pith citing papers

Observation 1adbda07-b3bb-4aaf-87e8-a24d4683eb62 · inbound