Paper Citation Record · LEDGER

Notes on the Loop Equation in Loop Space

As of 15 August 2026, this Paper Citation Record lists 31 of 31 outbound references and 1 inbound Pith citation observation for arXiv:2508.09705.

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

pith.paper-citation-record.v1
2508.09705 v1

Coverage vector

measured 31 of 31 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-05T20:58:07.083851Z

measured 32 of 32 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-15T06:32:42.880941+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-05T20:53:31.309468Z

measured 0 of 1 external citation measurements

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

Source: pith, observed 2026-08-05T20:53:31.419392Z

Reference resolution

31 of 31 outbound references displayed

verified exact2
verified fuzzy17
unresolved12
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 3653d3f9-a752-4adc-9a20-ddd7f013c6b2 · outbound

This paper cites Makeenko and A.A.

Notes on the Loop Equation in Loop Space Makeenko and A.A

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T20:58:07.438874Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation ffc6b050-e5d6-4dcf-93e2-26e58af6c9d7 · outbound

This paper cites Makeenko and A.A.

Notes on the Loop Equation in Loop Space Makeenko and A.A

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T20:58:07.430844Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 9127195d-92ce-49ad-96c0-48cf8dc8b1b3 · outbound

This paper cites Migdal, Loop equations and 1/N expansion, Phys.

Notes on the Loop Equation in Loop Space Migdal, Loop equations and 1/N expansion, Phys

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T20:58:07.422870Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation d7163310-4cd6-4c1f-ab66-656846e8eef5 · outbound

This paper cites L´ evy,Probl` emes concrets d’analyse fonctionnelle, Paris 1951.

Notes on the Loop Equation in Loop Space L´ evy,Probl` emes concrets d’analyse fonctionnelle, Paris 1951

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T20:58:07.415119Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 63fd1305-77ea-4105-820b-7c54cbb2c4b2 · outbound

This paper cites Feller, The L´ evy Laplacian, 166 Cambridge Tracts in Mathematics, Cambridge Univ.

Notes on the Loop Equation in Loop Space Feller, The L´ evy Laplacian, 166 Cambridge Tracts in Mathematics, Cambridge Univ

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T20:58:07.406862Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 31bf28f4-2776-4b13-8719-0873a87b68d9 · outbound

This paper cites Makeenko, Methods of contemporary gauge theory, Cambridge Univ.

Notes on the Loop Equation in Loop Space Makeenko, Methods of contemporary gauge theory, Cambridge Univ

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T20:58:07.398674Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 3ea83cde-9858-49b3-91fb-aa6c72cd3e8b · outbound

This paper cites Loop Equations and bootstrap methods in the lattice.

Notes on the Loop Equation in Loop Space Loop Equations and bootstrap methods in the lattice

Reference 7

Resolution: unresolved; no resolver link, observed 2026-08-05T20:58:07.017956Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation b3c3051a-5a05-4348-8df5-c705591186ca · outbound

This paper cites Bootstrap for Lattice Yang-Mills theory.

Notes on the Loop Equation in Loop Space Bootstrap for Lattice Yang-Mills theory

Reference 8

Resolution: unresolved; no resolver link, observed 2026-08-05T20:58:07.021155Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 2fa57eec-e914-4280-be1c-8e9aa5552caa · outbound

This paper cites Bootstrapping the Abelian Lattice Gauge Theories.

Notes on the Loop Equation in Loop Space Bootstrapping the Abelian Lattice Gauge Theories

Reference 9

Resolution: unresolved; no resolver link, observed 2026-08-05T20:58:07.024026Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 6c909e18-3061-4d08-aedc-563609e97a0c · outbound

This paper cites Bootstrap for Finite N Lattice Yang-Mills Theory.

Notes on the Loop Equation in Loop Space Bootstrap for Finite N Lattice Yang-Mills Theory

Reference 10

Resolution: unresolved; no resolver link, observed 2026-08-05T20:58:07.026968Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 469a462c-e42e-4e58-8332-91d70c1e50e9 · outbound

This paper cites an unresolved cited work.

Notes on the Loop Equation in Loop Space Unresolved cited work

Reference 11

Resolution: unresolved; no resolver link, observed 2026-08-05T20:58:07.030065Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 74cbcf47-24cd-410f-aa77-6e0cdb57fd0c · outbound

This paper cites Exact Confining Solution of the Planar QCD Loop Equation via a Matrix Ensemble.

Notes on the Loop Equation in Loop Space Exact Confining Solution of the Planar QCD Loop Equation via a Matrix Ensemble

Reference 12

Resolution: verified exact; local_arxiv, observed 2026-08-05T20:58:07.185740Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation ee4281d3-800d-4452-8d76-3e7b3e62395b · outbound

This paper cites Statistical Equilibrium of Circulating Fluids.

Notes on the Loop Equation in Loop Space Statistical Equilibrium of Circulating Fluids

Reference 13

Resolution: unresolved; no resolver link, observed 2026-08-05T20:58:07.035651Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation a43cba20-126e-4d41-9bc5-e23d2fe99434 · outbound

This paper cites Chen Integrals, Generalized Loops and Loop Calculus.

Notes on the Loop Equation in Loop Space Chen Integrals, Generalized Loops and Loop Calculus

Reference 14

Resolution: verified exact; local_arxiv, observed 2026-08-05T20:58:07.165033Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 45016e38-a103-4b90-a391-49af17135c02 · outbound

This paper cites Polyakov, Gauge fields as rings of glue , Nucl.

Notes on the Loop Equation in Loop Space Polyakov, Gauge fields as rings of glue , Nucl

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T20:58:07.390597Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation a5150443-e51a-457e-853c-f44a29c81b6c · outbound

This paper cites Gervais and A.

Notes on the Loop Equation in Loop Space Gervais and A

Reference 16

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T20:58:07.382029Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation fbd704d4-e927-4686-b283-f178effb2fd4 · outbound

This paper cites Halpern, Yu.M.

Notes on the Loop Equation in Loop Space Halpern, Yu.M

Reference 17

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T20:58:07.373305Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 5902bf83-74dc-45dd-891e-d8a8f473577d · outbound

This paper cites Parisi, Y.-S.

Notes on the Loop Equation in Loop Space Parisi, Y.-S

Reference 18

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T20:58:07.364963Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 61344238-a971-4baa-a00d-a4f7559e08b2 · outbound

This paper cites Zwanziger, Covariant quantization of gauge fields without gribov ambiguity , Nucl.

Notes on the Loop Equation in Loop Space Zwanziger, Covariant quantization of gauge fields without gribov ambiguity , Nucl

Reference 19

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T20:58:07.356514Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 99face42-33f8-4b4b-9263-2e3d9bdb23f2 · outbound

This paper cites Marchesini, A somment on the stochastic quantization: the loop equation of gauge theory as the equilibrium condition , Nucl.

Notes on the Loop Equation in Loop Space Marchesini, A somment on the stochastic quantization: the loop equation of gauge theory as the equilibrium condition , Nucl

Reference 20

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T20:58:07.348124Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 13095b1e-b558-40a6-9dde-cf8b897e4174 · outbound

This paper cites Bern, M.B.

Notes on the Loop Equation in Loop Space Bern, M.B

Reference 21

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T20:58:07.338634Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation fa1ca926-d3e7-4016-8bc5-cf6370b5092e · outbound

This paper cites Makeenko, Polygon discretization of the loop-space equation , Phys.

Notes on the Loop Equation in Loop Space Makeenko, Polygon discretization of the loop-space equation , Phys

Reference 22

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T20:58:07.329974Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation fe5881c5-e681-4144-853e-25ba9f60dff5 · outbound

This paper cites Wilson loops in large N field theories.

Notes on the Loop Equation in Loop Space Wilson loops in large N field theories

Reference 23

Resolution: unresolved; no resolver link, observed 2026-08-05T20:58:07.062504Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 04e7681f-952c-4802-ae06-a2cd2b338035 · outbound

This paper cites Macroscopic strings as heavy quarks: Large-N gauge theory and anti-de Sitter supergravity.

Notes on the Loop Equation in Loop Space Macroscopic strings as heavy quarks: Large-N gauge theory and anti-de Sitter supergravity

Reference 24

Resolution: unresolved; no resolver link, observed 2026-08-05T20:58:07.065181Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation c7da850a-ef16-4132-bbc1-e1912ac24078 · outbound

This paper cites Wilson Loops and Minimal Surfaces.

Notes on the Loop Equation in Loop Space Wilson Loops and Minimal Surfaces

Reference 25

Resolution: unresolved; no resolver link, observed 2026-08-05T20:58:07.067825Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 8d33915d-b856-4855-a624-c739717e3d55 · outbound

This paper cites Cusped SYM Wilson loop at two loops and beyond.

Notes on the Loop Equation in Loop Space Cusped SYM Wilson loop at two loops and beyond

Reference 26

Resolution: unresolved; no resolver link, observed 2026-08-05T20:58:07.070534Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 28fa1d1b-fd22-4e92-b8bc-4a5e1c83f7fa · outbound

This paper cites String Field Theory from IIB Matrix Model.

Notes on the Loop Equation in Loop Space String Field Theory from IIB Matrix Model

Reference 27

Resolution: unresolved; no resolver link, observed 2026-08-05T20:58:07.073591Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 3310de1a-05af-48a6-9e54-99a3cd4a1a3d · outbound

This paper cites IIB Matrix Model.

Notes on the Loop Equation in Loop Space IIB Matrix Model

Reference 28

Resolution: unresolved; no resolver link, observed 2026-08-05T20:58:07.076285Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 54091794-624b-4e2b-9db9-3013475e8f59 · outbound

This paper cites Gˆ ateaux,Th´ eorie generale des fonctionnelles, Gauthier-Villars, Paris (1937).

Notes on the Loop Equation in Loop Space Gˆ ateaux,Th´ eorie generale des fonctionnelles, Gauthier-Villars, Paris (1937)

Reference 29

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T20:58:07.321154Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 1819184e-f9f6-495c-93e9-3cf2493e5546 · outbound

This paper cites Migdal, Momentum loop dynamics and random surfaces in QCD , Nucl.

Notes on the Loop Equation in Loop Space Migdal, Momentum loop dynamics and random surfaces in QCD , Nucl

Reference 30

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T20:58:07.311878Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation b3c5c915-25e4-416d-a498-3422864d7ba6 · outbound

This paper cites Bershadski, I.D.

Notes on the Loop Equation in Loop Space Bershadski, I.D

Reference 31

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T20:58:07.303252Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Pith citing papers

Observation 2a13b5cc-77cd-4fd3-aa07-6b04a1efe4d6 · inbound

Evaluating the Role of Large Language Models in Legal Practice in India cites this paper.

Evaluating the Role of Large Language Models in Legal Practice in India Notes on the Loop Equation in Loop Space

Reference 1

Resolution: verified exact; local_arxiv, observed 2026-08-05T20:53:31.570927Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.