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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 11 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 7 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 7 of 7 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-11T06:34:44.6726+00:00

measured 7 of 7 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-10T15:29:14.842373Z

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=sha256:61c23d4da540ae967b5a8f2b9f4db6f3aeae32a402d0638576d95764f0bdb0e1

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=sha256:2e03c350ddfbf2beb6713c15b29a4b941171530cfe442c81ed91e4b5ed168e06

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 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-05-10T16:46:37.221485Z digest=sha256:100cbd507379dedcc75ea658925f5ab1a9bb19f5b44707e07fd54ba30db961a9

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 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-05-21T03:29:26.682481Z digest=sha256:e333de7f9c0b58af3f2858054db89769450d8d125810e0177d7ceef1e8f4876d

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 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-05-22T09:46:24.193721Z digest=sha256:191bb1d4cffadcf7d2689a1957116c6a705f05eb428ccc3dcd5ded9d18699e68

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 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-06-30T17:09:03.412369Z digest=sha256:830002358995c5a5b0e2d3d06a531b41c2cf185ab22ced1dbccd21cc831d2b22

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=sha256:25de1f844b2995f81335806f9c34c543fcc92f120164203bba697c502dfc1fea