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Paper Citation Record · LEDGER

Probing Large $N_f$ Through Schemes

As of 10 August 2026, this Paper Citation Record lists 16 of 16 outbound references and 0 inbound Pith citation observations for arXiv:2507.16504.

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

pith.paper-citation-record.v1
2507.16504 v1

Coverage vector

measured 16 of 16 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-06T15:21:55.217554Z

measured 16 of 16 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-09T06:31:02.800959+00:00

measured 0 of 0 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links

measured 0 of 1 external citation measurements

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

Source: cited_works

Reference resolution

16 of 16 outbound references displayed

  • verified exact8
  • verified fuzzy2
  • unresolved6
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 61fd5b96-6175-4ca5-847b-ba9e1793695b · outbound

This paper cites an unresolved cited work.

Probing Large $N_f$ Through Schemes Unresolved cited work

Reference 1

Resolution
unresolved
raw_fallback, observed 2026-08-06T15:21:56.848969Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-06T15:21:53.788059Z digest=sha256:b76989c204fd78fe0b1cbcdfc8f67b93179962b31d22106970d1754f7dd21015

Observation 89d32553-97b6-4a6a-9f69-1d8cd1e9ddb5 · outbound

This paper cites an unresolved cited work.

Probing Large $N_f$ Through Schemes Unresolved cited work

Reference 2

Resolution
unresolved
no resolver link, observed 2026-08-06T15:21:53.921645Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T15:21:53.921645Z digest=sha256:857378d8598bc67cdae1ed92ed0982a9d08a6c91b4fd91ffb8e317caffce1732

Observation c370f81e-23a7-4bb1-ae27-2f8bb36ca37f · outbound

This paper cites ULTRA VIOLET DIVERGENCES IN QUANTUM THEORIES OF GRA VITATION,.

Probing Large $N_f$ Through Schemes ULTRA VIOLET DIVERGENCES IN QUANTUM THEORIES OF GRA VITATION,

Reference 3

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T15:21:56.680908Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-06T15:21:54.029121Z digest=sha256:eb2cd8d060c0943229e14ae1e438fe0c9619371babf03791aac2e01dac6b90e1

Observation 62cf7628-94ef-4e92-b9fd-50cbb27c280b · outbound

This paper cites Asymptotic safety guaranteed.

Probing Large $N_f$ Through Schemes Asymptotic safety guaranteed

Reference 4

Resolution
unresolved
no resolver link, observed 2026-08-06T15:21:54.063914Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T15:21:54.063914Z digest=sha256:364363ef1d0b7f0b4591dc15fa60d6dd91ac2a455be0acc9bb96fd9bfc1f6bd9

Observation 23354c3d-6437-4566-8ef2-3ad1319df183 · outbound

This paper cites Palanques-Mestre and P.

Probing Large $N_f$ Through Schemes Palanques-Mestre and P

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T15:21:56.529399Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-06T15:21:54.142545Z digest=sha256:f237b10a25e5275e8183629c20ade295a7eb89efe7ab8c99838ea3b9d5c268dd

Observation 0e8442df-e7b0-47a0-8b5a-ea560fca3350 · outbound

This paper cites an unresolved cited work.

Probing Large $N_f$ Through Schemes Unresolved cited work

Reference 6

Resolution
verified exact
raw_fallback, observed 2026-08-06T15:21:56.386582Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-06T15:21:54.219814Z digest=sha256:fc2fc972f089bba9c80fee0324898a4f1ff12983b06471ecedda7a86ca2df277

Observation c5bb4bb7-d816-4bae-986f-c84a152664cb · outbound

This paper cites Large N flavor beta-functions: a recap.

Probing Large $N_f$ Through Schemes Large N flavor beta-functions: a recap

Reference 7

Resolution
verified exact
local_arxiv, observed 2026-08-06T15:21:56.208216Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-06T15:21:54.274532Z digest=sha256:288568b6b877ae992e776d528556eb4117f946f1d9324c8142abaf83c3fb0eee

Observation ee874fae-5cd4-42ec-a76d-004e45805f85 · outbound

This paper cites Large $N_f$ quantum field theory.

Probing Large $N_f$ Through Schemes Large $N_f$ quantum field theory

Reference 8

Resolution
verified exact
local_arxiv, observed 2026-08-06T15:21:56.081508Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-06T15:21:54.341627Z digest=sha256:983a02eedabb620f76ea7274323d6bb324199da472e8e48aee41f9687448d360

Observation c26657a0-73a9-4f59-979d-591ba60aa4d7 · outbound

This paper cites Gauge-Yukawa theories: Beta functions at large $N_f$.

Probing Large $N_f$ Through Schemes Gauge-Yukawa theories: Beta functions at large $N_f$

Reference 9

Resolution
unresolved
no resolver link, observed 2026-08-06T15:21:54.486249Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T15:21:54.486249Z digest=sha256:d506a4e69c5cb055ec91c4025a13fe91309eaf3c4f4bb433bb432b62b530c187

Observation 5e1de7d0-7d2e-43c3-978b-ddde259fee3f · outbound

This paper cites Large $N_f$ for multiple representations.

Probing Large $N_f$ Through Schemes Large $N_f$ for multiple representations

Reference 10

Resolution
verified exact
local_arxiv, observed 2026-08-06T15:21:55.919725Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-06T15:21:54.634523Z digest=sha256:10648dfa6599a40948af1c0a9f81f6bbedc11fdc75d26ff583e5db50254dae52

Observation c771a172-9493-4d1e-b6d2-302897dcb1d4 · outbound

This paper cites Conformal Window 2.0: The Large $N_f$ Safe Story.

Probing Large $N_f$ Through Schemes Conformal Window 2.0: The Large $N_f$ Safe Story

Reference 11

Resolution
unresolved
no resolver link, observed 2026-08-06T15:21:54.753960Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T15:21:54.753960Z digest=sha256:7f116249814044b74615c40fca73250fb8a52d7d36329525ccc611b7b0ca42fe

Observation bee57bb8-8fd3-443d-b70d-69e7cea89aa8 · outbound

This paper cites Towards the QED beta function and renormalons at $1/N_f^2$ and $1/N_f^3$.

Probing Large $N_f$ Through Schemes Towards the QED beta function and renormalons at $1/N_f^2$ and $1/N_f^3$

Reference 12

Resolution
verified exact
local_arxiv, observed 2026-08-06T15:21:55.803561Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-06T15:21:54.838415Z digest=sha256:af5d4ae2e96474c072ea76a3d23ec474f1b7b342d627fd3bf19fa4281153089f

Observation 616d5bbe-91a1-43dc-b649-4c9a59d19e8e · outbound

This paper cites A critical look at $\beta$-function singularities at large $N$.

Probing Large $N_f$ Through Schemes A critical look at $\beta$-function singularities at large $N$

Reference 13

Resolution
verified exact
local_arxiv, observed 2026-08-06T15:21:55.688028Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-06T15:21:54.992032Z digest=sha256:386ef0444cdd4be77462b3e89da98a5b558e40f7e20715b9cf3380dd58c0d4a1

Observation c03598e3-02e3-4f07-890f-ed0e862a4558 · outbound

This paper cites Computation of $\beta(g_c)$ at O(1/N^2) in the O(N) Gross Neveu Model in Arbitrary Dimensions.

Probing Large $N_f$ Through Schemes Computation of $\beta(g_c)$ at O(1/N^2) in the O(N) Gross Neveu Model in Arbitrary Dimensions

Reference 14

Resolution
unresolved
no resolver link, observed 2026-08-06T15:21:55.085792Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T15:21:55.085792Z digest=sha256:4aafaf4fc6ef1ea7836320fb1b825a23b89210ca25529b62204e26c6437a3ad8

Observation 9a56b0f1-848d-4628-aadb-a1db4087d19c · outbound

This paper cites Consistency Relation for Fixed Point Dynamics.

Probing Large $N_f$ Through Schemes Consistency Relation for Fixed Point Dynamics

Reference 15

Resolution
verified exact
local_arxiv, observed 2026-08-06T15:21:55.532020Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-06T15:21:55.178110Z digest=sha256:576c3c41292dae96accace51d5b9e6b5b49f62cd17e053cd0780e72c574cf545

Observation b928b341-76fd-409c-bfa9-87ac73903c63 · outbound

This paper cites An Analysis of Scheme Transformations in the Vicinity of an Infrared Fixed Point.

Probing Large $N_f$ Through Schemes An Analysis of Scheme Transformations in the Vicinity of an Infrared Fixed Point

Reference 16

Resolution
verified exact
local_arxiv, observed 2026-08-06T15:21:55.395391Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-06T15:21:55.217554Z digest=sha256:c82553d2a03896f05bf7fa0d7d44354551076fc01281df59f667f9daff140e32

Pith citing papers

No inbound Pith citation observations are available.