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Paper Citation Record · LEDGER

Equivalence of the modified Villain formulation and the dual Hamiltonian method in the duality of the XY-plaquette model

As of 4 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 2 inbound Pith citation observations for arXiv:2211.01632.

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

pith.paper-citation-record.v1
2211.01632 v4

Coverage vector

measured 0 of 0 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links

measured 2 of 2 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-03T06:30:56.289259+00:00

measured 2 of 2 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-01T02:52:30.016441Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-05-11T07:51:01.715539Z

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 72b7a598-879f-426f-948a-d9e12b70984a · inbound

Exact SL(2,Z)-Structure of Lattice Maxwell Theory with $\theta$-term in Modified Villain Formulation cites this paper.

Exact SL(2,Z)-Structure of Lattice Maxwell Theory with $\theta$-term in Modified Villain Formulation Equivalence of the modified Villain formulation and the dual Hamiltonian method in the duality of the XY-plaquette model

Reference 18

Resolution
verified exact
arxiv_id, observed 2026-05-11T07:51:01.717681Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-03T06:30:56.289259+00:00.

source=pdf_text observed=2026-05-10T16:55:57.814577Z digest=sha256:7420ec9e22da8568298129e701374a41ec552f32ed923a1cd885c21ce3f9fbad

Observation 32abbd57-2375-4419-81b7-156525448ef5 · inbound

$\mathrm{SL}(2,\mathbb{Z})$ Theta Subgroup Structure of Maxwell theory in the Lattice Villain Hamiltonian Formulation cites this paper.

$\mathrm{SL}(2,\mathbb{Z})$ Theta Subgroup Structure of Maxwell theory in the Lattice Villain Hamiltonian Formulation Equivalence of the modified Villain formulation and the dual Hamiltonian method in the duality of the XY-plaquette model

Reference 16

Resolution
unresolved
no resolver link, observed 2026-08-01T02:52:30.016441Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-01T02:52:30.016441Z digest=sha256:11572b5fbcc174e3db8d2c35c3a6768b788941647c34c1a5c277e398913f552a