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Paper Citation Record · LEDGER

Triviality in a Non-Perturbative Second-Order Mean-Field Theory for $\phi^4_4$

As of 9 August 2026, this Paper Citation Record lists 11 of 11 outbound references and 0 inbound Pith citation observations for arXiv:2608.05998.

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

pith.paper-citation-record.v1
2608.05998 v1

Coverage vector

measured 11 of 11 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-07T19:46:23.747674Z

measured 11 of 11 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

11 of 11 outbound references displayed

  • verified exact0
  • verified fuzzy8
  • unresolved1
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch2

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 5dc31c1d-d9ea-4035-bdbc-51d4cbc70d88 · outbound

This paper cites an unresolved cited work.

Triviality in a Non-Perturbative Second-Order Mean-Field Theory for $\phi^4_4$ Unresolved cited work

Reference 1

Resolution
unresolved
raw_fallback, observed 2026-08-07T19:46:23.890545Z

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=arxiv_source observed=2026-08-07T19:46:23.702681Z digest=sha256:ee67faf78323eef9aea72107a36945915522962e001221d974426781f55dd24b

Observation f9523a67-81de-460a-b315-5b29d5f96fb0 · outbound

This paper cites and Kogut, John , title =.

Triviality in a Non-Perturbative Second-Order Mean-Field Theory for $\phi^4_4$ and Kogut, John , title =

Reference 2

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T19:46:23.880027Z

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=arxiv_source observed=2026-08-07T19:46:23.707230Z digest=sha256:5a8d9b526f064534d9e17b5ce97ac2c319d481fce85f61ce9cef96744eeeb0b9

Observation 6a65b791-28d6-4da3-a56f-b6f7f68b07af · outbound

This paper cites Physical Review Letters , volume =.

Triviality in a Non-Perturbative Second-Order Mean-Field Theory for $\phi^4_4$ Physical Review Letters , volume =

Reference 3

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T19:46:23.869357Z

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=arxiv_source observed=2026-08-07T19:46:23.713189Z digest=sha256:91a52c765d79e30f7099a1e8814a8f53b1a452342ee7e1e45f81682411f195e6

Observation 740319c9-20a1-423e-b697-a54a4a60bbb7 · outbound

This paper cites On the Triviality of _d^4 Theories and the Approach to the Critical Point in d 4 Dimensions , journal =.

Triviality in a Non-Perturbative Second-Order Mean-Field Theory for $\phi^4_4$ On the Triviality of _d^4 Theories and the Approach to the Critical Point in d 4 Dimensions , journal =

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T19:46:23.859098Z

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=arxiv_source observed=2026-08-07T19:46:23.717383Z digest=sha256:a078ca09fffcafb682bc985f54c6c2acbea9dd4c30ada150b3045731c1017319

Observation e252406c-f22f-4ed4-b323-7b7378688a04 · outbound

This paper cites Nuclear Physics B , volume =.

Triviality in a Non-Perturbative Second-Order Mean-Field Theory for $\phi^4_4$ Nuclear Physics B , volume =

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T19:46:23.848315Z

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=arxiv_source observed=2026-08-07T19:46:23.721378Z digest=sha256:3d081512fe8db0dfdd4e9166b463d7d8c81867138a7e52cb9aa39252de1cf005

Observation 382729f1-7a24-4cb7-9203-06c7e71cef4e · outbound

This paper cites Reviews of Modern Physics , volume =.

Triviality in a Non-Perturbative Second-Order Mean-Field Theory for $\phi^4_4$ Reviews of Modern Physics , volume =

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T19:46:23.838976Z

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=arxiv_source observed=2026-08-07T19:46:23.725633Z digest=sha256:6ed2999785b065e5feb7df1bd908aba00904e33d43e67aed209b658315256970

Observation 22d9a9bf-5535-4966-9470-6250c502b8d3 · outbound

This paper cites Annals of Mathematics , volume =.

Triviality in a Non-Perturbative Second-Order Mean-Field Theory for $\phi^4_4$ Annals of Mathematics , volume =

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T19:46:23.829122Z

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=arxiv_source observed=2026-08-07T19:46:23.729907Z digest=sha256:e79c4d90326e065e874e8f13babd6969e12d6117487a48846d744379105facc0

Observation 3f0adb14-00a0-49da-a1e7-41cffd733e2f · outbound

This paper cites Annals of Mathematics , volume =.

Triviality in a Non-Perturbative Second-Order Mean-Field Theory for $\phi^4_4$ Annals of Mathematics , volume =

Reference 8

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T19:46:23.818973Z

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=arxiv_source observed=2026-08-07T19:46:23.734195Z digest=sha256:98be926961e359ed31c249fb63733d06f5873ce0f109944fd90a8573734cbbe9

Observation a9846472-e8ac-4691-821e-bd5c467817c1 · outbound

This paper cites Mean field flow equations and asymptotically free scalar fields.

Triviality in a Non-Perturbative Second-Order Mean-Field Theory for $\phi^4_4$ Mean field flow equations and asymptotically free scalar fields

Reference 9

Resolution
metadata mismatch
local_arxiv, observed 2026-08-07T19:46:23.798170Z

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=arxiv_source observed=2026-08-07T19:46:23.738105Z digest=sha256:633b0103f60dbd484bb564809552c9656f5a446c31f4d46c9a9e5c50fdf6d356

Observation 3a76f79e-2f0a-4653-94f2-b8b1ed3c507e · outbound

This paper cites Triviality proof for mean-field $\varphi_4^4$-theories.

Triviality in a Non-Perturbative Second-Order Mean-Field Theory for $\phi^4_4$ Triviality proof for mean-field $\varphi_4^4$-theories

Reference 10

Resolution
metadata mismatch
local_arxiv, observed 2026-08-07T19:46:23.782745Z

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=arxiv_source observed=2026-08-07T19:46:23.742327Z digest=sha256:843fe0e9447cfeaa5c4a5fe3c547c4bed34241da93c84a69fba4ed78005322aa

Observation f3663b72-2d86-4b7e-98b1-be2e70253b1e · outbound

This paper cites 2025 , eprint =.

Triviality in a Non-Perturbative Second-Order Mean-Field Theory for $\phi^4_4$ 2025 , eprint =

Reference 11

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T19:46:23.808985Z

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=arxiv_source observed=2026-08-07T19:46:23.747674Z digest=sha256:eb4c8e76e7ece59a10f5abe7f7c5f9292b13a9802f21848444050b198b4a317b

Pith citing papers

No inbound Pith citation observations are available.