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Paper Citation Record · LEDGER

The BPHZ Theorem for Regularity Structures via the Spectral Gap Inequality

As of 10 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 3 inbound Pith citation observations for arXiv:2301.10081.

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

pith.paper-citation-record.v1
2301.10081 v3

Coverage vector

measured 0 of 0 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links

measured 3 of 3 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-10T06:31:04.303077+00:00

measured 3 of 3 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-05T00:27:29.746256Z

measured 1 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-08-05T02:28:24.338817Z

Reference resolution

0 of 0 outbound references displayed

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

External citation measurements

1
arxiv_reference, observed 2026-08-05T02:28:24.338817Z

Outbound references

No outbound reference observations are available for this paper version.

Pith citing papers

Observation 425be66b-d2d8-42a1-b2bc-9e40c2246904 · inbound

Stochastic estimates for the thin-film equation with thermal noise cites this paper.

Stochastic estimates for the thin-film equation with thermal noise The BPHZ Theorem for Regularity Structures via the Spectral Gap Inequality

Reference 23

Resolution
verified exact
arxiv_id, observed 2026-05-24T06:56:02.318562Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-05-24T06:54:23.877052Z digest=sha256:c4a852956d19564e294302696767fce5b5ba35e731cca300867e432065c1cb2f

Observation ba8f5ff2-8293-45ae-aac1-3be252572ff0 · inbound

Lecture notes on the flow equation approach to singular stochastic PDEs cites this paper.

Lecture notes on the flow equation approach to singular stochastic PDEs The BPHZ Theorem for Regularity Structures via the Spectral Gap Inequality

Reference 22

Resolution
unresolved
no resolver link, observed 2026-08-03T23:15:13.460415Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-03T23:15:13.460415Z digest=sha256:4b285f9d9dacfe3fcca5cb65beecd91ca3dce7295f83031b4f7f3ec79b9efcab

Observation a8f9dcd1-ef3a-4018-94ee-575a299c3d3a · inbound

On the role of positivity preservation for high order approximations of the Dean--Kawasaki equation cites this paper.

On the role of positivity preservation for high order approximations of the Dean--Kawasaki equation The BPHZ Theorem for Regularity Structures via the Spectral Gap Inequality

Reference 95

Resolution
unresolved
no resolver link, observed 2026-08-05T00:27:29.746256Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-05T00:27:29.746256Z digest=sha256:2ba136710e6d6909e6446c3f70e3d38ccd957a41bed877475c779f1727326217