Paper Citation Record · LEDGER

Modified Villain formulation of abelian Chern-Simons theory

As of 22 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 14 inbound Pith citation observations for arXiv:2303.06160.

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

pith.paper-citation-record.v1
2303.06160 v2

Coverage vector

measured 0 of 0 reference resolution

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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 2026-08-21T06:32:19.484+00:00

measured 14 of 14 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-11T18:19:46.649475Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-07-02T18:37:16.294940Z

Reference resolution

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External citation measurements

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Outbound references

No outbound reference observations are available for this paper version.

Pith citing papers

Observation 53e52358-3e14-4923-987d-3327b2bbe193 · inbound

Axion QED as a Lattice Gauge Theory and Non-Invertible Symmetry cites this paper.

Axion QED as a Lattice Gauge Theory and Non-Invertible Symmetry Modified Villain formulation of abelian Chern-Simons theory

Reference 24

Resolution: unresolved; no resolver link, observed 2026-08-11T18:19:46.649475Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 485c4482-32af-4fcf-87d0-52b1d4f96fe5 · inbound

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

U(1)-gauged 2-flavor spin system in 3-D Modified Villain formulation of abelian Chern-Simons theory

Reference 14

Resolution: unresolved; no resolver link, observed 2026-08-09T05:04:57.935085Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 96a32d52-c03f-4fc8-9b6c-2d74fc0de0d0 · 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 Modified Villain formulation of abelian Chern-Simons theory

Reference 27

Resolution: unresolved; no resolver link, observed 2026-08-07T14:22:36.112821Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation ee3fe09b-8162-41ac-b1f2-980bf1ed09bc · inbound

Symmetry theta angles and topological Witten effects cites this paper.

Symmetry theta angles and topological Witten effects Modified Villain formulation of abelian Chern-Simons theory

Reference 38

Resolution: unresolved; no resolver link, observed 2026-08-06T21:32:23.320263Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 4cc8a2a8-adef-4cae-9448-7150817bbefe · inbound

Spontaneous symmetry breaking on graphs and lattices cites this paper.

Spontaneous symmetry breaking on graphs and lattices Modified Villain formulation of abelian Chern-Simons theory

Reference 21

Resolution: verified exact; arxiv_id, observed 2026-05-16T23:51:21.908833Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation ab3bc041-00a5-4624-9475-ec489130a991 · inbound

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

Exactly Solvable 1+1d Chiral Lattice Gauge Theories Modified Villain formulation of abelian Chern-Simons theory

Reference 44

Resolution: unresolved; no resolver link, observed 2026-08-03T09:26:56.804814Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation f7949743-8989-4e15-91ec-771a0f9c36ee · inbound

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

Lattice chiral symmetry from bosons in 3+1d Modified Villain formulation of abelian Chern-Simons theory

Reference 71

Resolution: verified exact; arxiv_id, observed 2026-05-11T00:05:52.313641Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation b594b69a-5d81-4dbc-8518-cc01229560e9 · inbound

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

Exotic theta terms in 2+1d fractonic field theory Modified Villain formulation of abelian Chern-Simons theory

Reference 40

Resolution: verified exact; arxiv_id, observed 2026-05-11T00:50:50.310266Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation edbd3d13-0183-4ac9-9c5d-3967dfe26a9b · 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 Modified Villain formulation of abelian Chern-Simons theory

Reference 22

Resolution: verified exact; arxiv_id, observed 2026-05-11T07:51:01.660926Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 5d33836e-3083-450c-8660-3f7abc1e79b3 · 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 Modified Villain formulation of abelian Chern-Simons theory

Reference 44

Resolution: verified exact; arxiv_id, observed 2026-05-20T04:03:04.339478Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 8e07895a-a8ec-4493-8d91-0897978c93a6 · inbound

Toward Hamiltonian simulations of Maxwell-Chern-Simons theory: constant modes and gauge field truncation cites this paper.

Toward Hamiltonian simulations of Maxwell-Chern-Simons theory: constant modes and gauge field truncation Modified Villain formulation of abelian Chern-Simons theory

Reference 20

Resolution: verified exact; arxiv_id, observed 2026-07-02T18:37:16.296235Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 9e6ad0f9-fb3e-47bb-8501-6e5b5b8b6f30 · inbound

Bosonization versus the Nielsen-Ninomiya theorem cites this paper.

Bosonization versus the Nielsen-Ninomiya theorem Modified Villain formulation of abelian Chern-Simons theory

Reference 97

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 bc429be5-5939-4098-8b38-1a0548f4c08d · inbound

Bosonization versus the Nielsen-Ninomiya theorem cites this paper.

Bosonization versus the Nielsen-Ninomiya theorem Modified Villain formulation of abelian Chern-Simons theory

Reference 95

Resolution: unresolved; no resolver link, observed 2026-08-02T07:43:57.727889Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation c9a7bfb4-bdad-4968-a8dc-ec80092edecb · 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 Modified Villain formulation of abelian Chern-Simons theory

Reference 21

Resolution: unresolved; no resolver link, observed 2026-08-01T02:52:30.513395Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.