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Paper Citation Record · LEDGER

Constraints on 3- and 4-loop $\beta$-functions in a general four-dimensional Quantum Field Theory

As of 23 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 8 inbound Pith citation observations for arXiv:1906.04625.

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

pith.paper-citation-record.v1
1906.04625 v3

Coverage vector

measured 0 of 0 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links

measured 8 of 8 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-22T06:32:14.747728+00:00

measured 8 of 8 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-16T00:21:37.934961Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-06-30T17:14:57.011568Z

Reference resolution

0 of 0 outbound references displayed

  • verified exact0
  • verified fuzzy0
  • unresolved0
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

No outbound reference observations are available for this paper version.

Pith citing papers

Observation c5692bef-8a4d-4de0-9b2c-3365daab9456 · inbound

On the scalar sector of 2HDM: ring of basis invariants, syzygies, and six-loop renormalization-group equations cites this paper.

On the scalar sector of 2HDM: ring of basis invariants, syzygies, and six-loop renormalization-group equations Constraints on 3- and 4-loop $\beta$-functions in a general four-dimensional Quantum Field Theory

Reference 30

Resolution
unresolved
no resolver link, observed 2026-08-10T15:29:14.842373Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-10T15:29:14.842373Z digest=sha256:13490dd0fdb774fe9a2387a8e7a7628beca549fe984c0e1a28e59d2926a2986c

Observation 0a71c112-e1f8-41ad-8bcc-91970c0352ad · inbound

Gradient Flows and the Curvature of Theory Space cites this paper.

Gradient Flows and the Curvature of Theory Space Constraints on 3- and 4-loop $\beta$-functions in a general four-dimensional Quantum Field Theory

Reference 22

Resolution
unresolved
no resolver link, observed 2026-08-08T14:23:14.781953Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-08T14:23:14.781953Z digest=sha256:56d11e3ce1c76f769ec456e330c3c23b7134c3ebe3271aef94c7eb22f4ffaa64

Observation 7c7ef952-49c9-46ea-a99c-b281ca86cacd · inbound

Connecting Supersymmetry to Non-Supersymmetric theories: the Gross-Neveu-Yukawa example cites this paper.

Connecting Supersymmetry to Non-Supersymmetric theories: the Gross-Neveu-Yukawa example Constraints on 3- and 4-loop $\beta$-functions in a general four-dimensional Quantum Field Theory

Reference 9

Resolution
verified exact
arxiv_id, observed 2026-05-11T08:11:04.062715Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-05-10T16:46:37.221485Z digest=sha256:22605e042bfa444e9340790f1780becd6660c541189d1cb6a780ba280936fb64

Observation a40c8ec6-04b7-4f72-8c79-5c1d25587959 · inbound

Matching $A$ with $F$ in long-range QFTs cites this paper.

Matching $A$ with $F$ in long-range QFTs Constraints on 3- and 4-loop $\beta$-functions in a general four-dimensional Quantum Field Theory

Reference 48

Resolution
verified exact
arxiv_id, observed 2026-05-21T03:33:56.784037Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-05-21T03:29:26.682481Z digest=sha256:d3a964bfce71cb968df7ca956e02bf894983d22529deed4b50b434f12b968dc6

Observation 65f0b63d-d5de-4845-a58c-0fd3fcea0944 · inbound

Matching $A$ with $F$ in long-range QFTs cites this paper.

Matching $A$ with $F$ in long-range QFTs Constraints on 3- and 4-loop $\beta$-functions in a general four-dimensional Quantum Field Theory

Reference 51

Resolution
verified exact
arxiv_id, observed 2026-05-22T09:51:22.037382Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-05-22T09:46:24.193721Z digest=sha256:03cc31f54a363862504da295cda6d4ab665416986583ffa6623219b085ad2511

Observation 9ac06760-f445-408a-808e-eda0ee4f24bb · inbound

Matching $A$ with $F$ in long-range QFTs cites this paper.

Matching $A$ with $F$ in long-range QFTs Constraints on 3- and 4-loop $\beta$-functions in a general four-dimensional Quantum Field Theory

Reference 53

Resolution
verified exact
arxiv_id, observed 2026-06-30T17:14:57.013257Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-06-30T17:09:03.412369Z digest=sha256:29d076c640a87251bf4f01c7e1ee30416aa9465038aef7392205ef8944356ad8

Observation 2a9cd5dd-f3c5-4df8-8d2e-92cefc0dae20 · inbound

Gauge coupling beta functions and gauge field anomalous dimensions at four loops in the Standard Model cites this paper.

Gauge coupling beta functions and gauge field anomalous dimensions at four loops in the Standard Model Constraints on 3- and 4-loop $\beta$-functions in a general four-dimensional Quantum Field Theory

Reference 31

Resolution
unresolved
no resolver link, observed 2026-08-01T07:03:32.342647Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-01T07:03:32.342647Z digest=sha256:6e686473dfa77c0285d6596c5539ddeede2a407c84178b61986a86c8c8a83925

Observation 1c3a5454-89e8-40cb-a6ca-f7f2ec2dadb6 · inbound

Constraints on the $O(n)$ model from a negative number of flavors cites this paper.

Constraints on the $O(n)$ model from a negative number of flavors Constraints on 3- and 4-loop $\beta$-functions in a general four-dimensional Quantum Field Theory

Reference 31

Resolution
unresolved
no resolver link, observed 2026-08-16T00:21:37.934961Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-16T00:21:37.934961Z digest=sha256:916ccbac5d242f3e9c650894c3002f4568e6b31cd030398659fa4aaa106460c9