Paper Citation Record · LEDGER

Lattice Quantum Villain Hamiltonians: Compact scalars, $U(1)$ gauge theories, fracton models and Quantum Ising model dualities

As of 10 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 14 inbound Pith citation observations for arXiv:2211.13047.

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

pith.paper-citation-record.v1
2211.13047 v4

Coverage vector

measured 0 of 0 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links

measured 14 of 14 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-09T06:31:02.800959+00:00

measured 14 of 14 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-09T05:04:57.930977Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-07-03T12:08:06.477285Z

Reference resolution

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External citation measurements

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Outbound references

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Pith citing papers

Observation 5db25516-7ab0-47c5-b438-69b476be4d39 · inbound

U(1)-gauged 2-flavor spin system in 3-D cites this paper.

U(1)-gauged 2-flavor spin system in 3-D Lattice Quantum Villain Hamiltonians: Compact scalars, $U(1)$ gauge theories, fracton models and Quantum Ising model dualities

Reference 13

Resolution: unresolved; no resolver link, observed 2026-08-09T05:04:57.930977Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation fd788072-407d-4873-bebc-ff0a8314c92d · inbound

2d Cardy-Rabinovici model with the modified Villain lattice: Exact dualities and symmetries cites this paper.

2d Cardy-Rabinovici model with the modified Villain lattice: Exact dualities and symmetries Lattice Quantum Villain Hamiltonians: Compact scalars, $U(1)$ gauge theories, fracton models and Quantum Ising model dualities

Reference 54

Resolution: unresolved; no resolver link, observed 2026-08-07T14:22:36.263071Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation ecb7c6a3-1bf3-4cb0-9822-3f6d232b3b45 · inbound

Exactly Solvable 1+1d Chiral Lattice Gauge Theories cites this paper.

Exactly Solvable 1+1d Chiral Lattice Gauge Theories Lattice Quantum Villain Hamiltonians: Compact scalars, $U(1)$ gauge theories, fracton models and Quantum Ising model dualities

Reference 24

Resolution: unresolved; no resolver link, observed 2026-08-03T09:26:54.630344Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 5ee23938-ea97-4737-90a9-c70750610d1a · inbound

Lattice chiral symmetry from bosons in 3+1d cites this paper.

Lattice chiral symmetry from bosons in 3+1d Lattice Quantum Villain Hamiltonians: Compact scalars, $U(1)$ gauge theories, fracton models and Quantum Ising model dualities

Reference 15

Resolution: verified exact; arxiv_id, observed 2026-05-11T00:10:49.817908Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 70df3fff-4b6b-40d0-8202-28de13ae8353 · inbound

Exotic theta terms in 2+1d fractonic field theory cites this paper.

Exotic theta terms in 2+1d fractonic field theory Lattice Quantum Villain Hamiltonians: Compact scalars, $U(1)$ gauge theories, fracton models and Quantum Ising model dualities

Reference 39

Resolution: verified exact; arxiv_id, observed 2026-05-11T00:50:50.325405Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 875d767f-5bb7-4459-8bec-533a42ed723a · 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 Lattice Quantum Villain Hamiltonians: Compact scalars, $U(1)$ gauge theories, fracton models and Quantum Ising model dualities

Reference 16

Resolution: verified exact; arxiv_id, observed 2026-05-11T07:51:01.709612Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 2b8cf869-4ac5-4a0e-85aa-5ce03102fd5a · inbound

Lattice Realizations of Flat Gauging and T-duality Defects at Any Radius cites this paper.

Lattice Realizations of Flat Gauging and T-duality Defects at Any Radius Lattice Quantum Villain Hamiltonians: Compact scalars, $U(1)$ gauge theories, fracton models and Quantum Ising model dualities

Reference 35

Resolution: verified exact; arxiv_id, observed 2026-05-11T05:30:58.972045Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 1015cbe1-b179-4cf8-a69b-4ceda3d39c12 · inbound

When Symmetries Twist: Anomaly Inflow on Monodromy Defects cites this paper.

When Symmetries Twist: Anomaly Inflow on Monodromy Defects Lattice Quantum Villain Hamiltonians: Compact scalars, $U(1)$ gauge theories, fracton models and Quantum Ising model dualities

Reference 106

Resolution: verified exact; arxiv_id, observed 2026-05-20T16:38:39.991165Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation d610b3e1-1b58-4a43-b642-3102a056c539 · inbound

When Symmetries Twist: Anomaly Inflow on Monodromy Defects cites this paper.

When Symmetries Twist: Anomaly Inflow on Monodromy Defects Lattice Quantum Villain Hamiltonians: Compact scalars, $U(1)$ gauge theories, fracton models and Quantum Ising model dualities

Reference 106

Resolution: verified exact; arxiv_id, observed 2026-07-01T14:55:47.793719Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 6e6b85b3-015c-4735-a3dc-a5db74d5264c · inbound

Stringy T-duality on the lattice and the twisted Villain model cites this paper.

Stringy T-duality on the lattice and the twisted Villain model Lattice Quantum Villain Hamiltonians: Compact scalars, $U(1)$ gauge theories, fracton models and Quantum Ising model dualities

Reference 39

Resolution: verified exact; arxiv_id, observed 2026-05-20T04:03:04.422678Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 9d28558e-ebf0-4213-8588-f7023fcdd065 · inbound

Infinite-Order Lattice Chiral Anomalies and CPT cites this paper.

Infinite-Order Lattice Chiral Anomalies and CPT Lattice Quantum Villain Hamiltonians: Compact scalars, $U(1)$ gauge theories, fracton models and Quantum Ising model dualities

Reference 42

Resolution: verified exact; arxiv_id, observed 2026-07-03T12:08:06.478831Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 45b84f4e-222f-4a5c-9d83-e1eccc90e82f · inbound

Bosonization versus the Nielsen-Ninomiya theorem cites this paper.

Bosonization versus the Nielsen-Ninomiya theorem Lattice Quantum Villain Hamiltonians: Compact scalars, $U(1)$ gauge theories, fracton models and Quantum Ising model dualities

Reference 50

Resolution: unresolved; no resolver link, observed 2026-07-14T14:29:24.660809Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 95b5d55f-f7e3-4dbd-a400-8d963e0146b6 · inbound

Bosonization versus the Nielsen-Ninomiya theorem cites this paper.

Bosonization versus the Nielsen-Ninomiya theorem Lattice Quantum Villain Hamiltonians: Compact scalars, $U(1)$ gauge theories, fracton models and Quantum Ising model dualities

Reference 47

Resolution: unresolved; no resolver link, observed 2026-08-02T07:43:50.889197Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 3e9fa0f3-f2c0-486b-b0fb-14073723e5fb · 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 Lattice Quantum Villain Hamiltonians: Compact scalars, $U(1)$ gauge theories, fracton models and Quantum Ising model dualities

Reference 15

Resolution: unresolved; no resolver link, observed 2026-08-01T02:52:29.875493Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.