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Paper Citation Record · LEDGER

Invariance of $\phi^4$ measure under nonlinear wave and Schr\"odinger equations on the plane

As of 14 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 3 inbound Pith citation observations for arXiv:2211.16111.

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

pith.paper-citation-record.v1
2211.16111 v5

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 2026-08-14T06:32:32.682623+00:00

measured 3 of 3 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-11T21:05:00.778628Z

measured 0 of 1 external citation measurements

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

Source: pith, observed 2026-08-07T13:26:20.361305Z

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 88a4b717-f512-42f4-a30f-8af85f30cac5 · inbound

Gibbs measures as local equilibrium KMS states for focusing nonlinear Schr\"odinger equations cites this paper.

Gibbs measures as local equilibrium KMS states for focusing nonlinear Schr\"odinger equations Invariance of $\phi^4$ measure under nonlinear wave and Schr\"odinger equations on the plane

Reference 14

Resolution
unresolved
no resolver link, observed 2026-08-11T21:05:00.778628Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-11T21:05:00.778628Z digest=sha256:bd68dfcfd61dd106bce8dffb88993c662f13e6adfac42286c3f7bf93083b7398

Observation a497ce9d-d3f3-4832-b35c-2a400ec7ad52 · inbound

Invariant Gibbs measures for the one-dimensional quintic nonlinear Schr\"odinger equation in infinite volume cites this paper.

Invariant Gibbs measures for the one-dimensional quintic nonlinear Schr\"odinger equation in infinite volume Invariance of $\phi^4$ measure under nonlinear wave and Schr\"odinger equations on the plane

Reference 1

Resolution
verified exact
local_arxiv, observed 2026-08-07T13:26:20.446483Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=arxiv_source observed=2026-08-07T13:26:17.212219Z digest=sha256:637b24f9035f3961a46487218087b77c9801e89c712568e36356540089465a84

Observation e91e0c55-2459-4534-8db0-1d92283faa64 · inbound

Phase transition for weakly interacting focusing Gibbs measures with harmonic potential cites this paper.

Phase transition for weakly interacting focusing Gibbs measures with harmonic potential Invariance of $\phi^4$ measure under nonlinear wave and Schr\"odinger equations on the plane

Reference 3

Resolution
unresolved
no resolver link, observed 2026-07-14T04:26:56.682621Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-07-14T04:26:56.682621Z digest=sha256:e7ea2c72bc0312e9c66bc78a2d9ba226c68ab3e5119687a69f92a4741221bd38