Paper Citation Record · LEDGER

A Modified Villain Formulation of Fractons and Other Exotic Theories

As of 10 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 20 inbound Pith citation observations for arXiv:2103.01257.

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pith.paper-citation-record.v1
2103.01257 v4

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measured 20 of 20 standing notices

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

measured 20 of 20 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-09T05:04:57.919259Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-07-03T13:48:21.054705Z

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Outbound references

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Pith citing papers

Observation 9d267a4e-bd6d-43f4-87b8-4047bb5c0e4d · inbound

Non-Invertible Duality Defects in 3+1 Dimensions cites this paper.

Non-Invertible Duality Defects in 3+1 Dimensions A Modified Villain Formulation of Fractons and Other Exotic Theories

Reference 57

Resolution: verified exact; arxiv_id, observed 2026-05-24T08:56:32.457705Z

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.

Observation 28aee967-0f36-43cf-8d63-dc78738f655c · inbound

Snowmass White Paper: Generalized Symmetries in Quantum Field Theory and Beyond cites this paper.

Snowmass White Paper: Generalized Symmetries in Quantum Field Theory and Beyond A Modified Villain Formulation of Fractons and Other Exotic Theories

Reference 147

Resolution: verified exact; arxiv_id, observed 2026-05-21T13:21:27.764830Z

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.

Observation 621d3f9b-2282-427c-b24f-befa138c34c9 · inbound

What's Done Cannot Be Undone: TASI Lectures on Non-Invertible Symmetries cites this paper.

What's Done Cannot Be Undone: TASI Lectures on Non-Invertible Symmetries A Modified Villain Formulation of Fractons and Other Exotic Theories

Reference 259

Resolution: verified exact; arxiv_id, observed 2026-05-24T07:34:07.874074Z

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.

Observation 768cea28-8a68-4d7b-9e73-50f53f1a2c27 · inbound

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

U(1)-gauged 2-flavor spin system in 3-D A Modified Villain Formulation of Fractons and Other Exotic Theories

Reference 10

Resolution: unresolved; no resolver link, observed 2026-08-09T05:04:57.919259Z

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Observation 173a336f-0ea0-4f75-b8b7-790ba0e3fa26 · 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 A Modified Villain Formulation of Fractons and Other Exotic Theories

Reference 29

Resolution: unresolved; no resolver link, observed 2026-08-07T14:22:36.123982Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 5d7df8b8-04ee-4d29-9662-040b45f077f5 · inbound

Discrete $p$-Form Symmetry and Higher Coulomb Phases cites this paper.

Discrete $p$-Form Symmetry and Higher Coulomb Phases A Modified Villain Formulation of Fractons and Other Exotic Theories

Reference 59

Resolution: malformed identifier; arxiv_id, observed 2026-05-19T04:52:59.582016Z

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.

Observation da8f651c-c111-4833-9f14-68c9c5b9c165 · inbound

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

Exactly Solvable 1+1d Chiral Lattice Gauge Theories A Modified Villain Formulation of Fractons and Other Exotic Theories

Reference 22

Resolution: unresolved; no resolver link, observed 2026-08-03T09:26:54.464936Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 89240045-3c4f-4cfe-b1ba-8bbecae31428 · inbound

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

Lattice chiral symmetry from bosons in 3+1d A Modified Villain Formulation of Fractons and Other Exotic Theories

Reference 11

Resolution: verified exact; arxiv_id, observed 2026-05-11T00:10:49.608828Z

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.

Observation ae22e5bd-0efd-4c11-aa84-9ae1c98367b9 · inbound

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

Exotic theta terms in 2+1d fractonic field theory A Modified Villain Formulation of Fractons and Other Exotic Theories

Reference 33

Resolution: verified exact; arxiv_id, observed 2026-05-11T00:50:50.266068Z

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.

Observation 5d837edc-6e62-4576-9ac5-539ec75ce835 · 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 A Modified Villain Formulation of Fractons and Other Exotic Theories

Reference 17

Resolution: verified exact; arxiv_id, observed 2026-05-11T07:51:01.713781Z

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.

Observation a6887e3d-3817-4885-9167-8c5feea6b063 · 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 A Modified Villain Formulation of Fractons and Other Exotic Theories

Reference 33

Resolution: verified exact; arxiv_id, observed 2026-05-11T05:30:58.772860Z

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.

Observation 254a693e-a48e-4768-9175-00c0fd5895b2 · inbound

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

When Symmetries Twist: Anomaly Inflow on Monodromy Defects A Modified Villain Formulation of Fractons and Other Exotic Theories

Reference 105

Resolution: metadata mismatch; arxiv_id, observed 2026-05-20T16:38:39.759148Z

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.

Observation 192fde6e-9596-43e6-a35a-4993d316f451 · inbound

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

When Symmetries Twist: Anomaly Inflow on Monodromy Defects A Modified Villain Formulation of Fractons and Other Exotic Theories

Reference 105

Resolution: metadata mismatch; arxiv_id, observed 2026-07-01T14:55:47.589914Z

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.

Observation 01612eb6-c219-482b-9f20-99dfc9631be3 · 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 A Modified Villain Formulation of Fractons and Other Exotic Theories

Reference 8

Resolution: verified exact; arxiv_id, observed 2026-05-20T04:03:04.506188Z

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.

Observation f08cf80e-2c62-4b05-af87-4455617faf61 · inbound

Lattice chiral non-Abelian gauge symmetry via bosonization cites this paper.

Lattice chiral non-Abelian gauge symmetry via bosonization A Modified Villain Formulation of Fractons and Other Exotic Theories

Reference 45

Resolution: verified exact; arxiv_id, observed 2026-07-03T13:48:21.056117Z

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.

Observation 1ba8dffe-7691-4919-a988-165167b297bc · inbound

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

Infinite-Order Lattice Chiral Anomalies and CPT A Modified Villain Formulation of Fractons and Other Exotic Theories

Reference 40

Resolution: metadata mismatch; arxiv_id, observed 2026-07-03T12:08:06.515054Z

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.

Observation c1f4d516-c390-44a1-9369-0cbba671a9a2 · inbound

Axions on de Sitter space cites this paper.

Axions on de Sitter space A Modified Villain Formulation of Fractons and Other Exotic Theories

Reference 59

Resolution: verified exact; arxiv_id, observed 2026-06-30T09:04:32.791711Z

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.

Observation 5068f164-a86f-4c0a-b135-e51d813402e0 · 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 A Modified Villain Formulation of Fractons and Other Exotic Theories

Reference 27

Resolution: verified exact; arxiv_id, observed 2026-07-02T18:37:16.302142Z

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.

Observation df8ba7fd-69d9-49b7-b9b3-b6f96b086bdc · inbound

Bosonization versus the Nielsen-Ninomiya theorem cites this paper.

Bosonization versus the Nielsen-Ninomiya theorem A Modified Villain Formulation of Fractons and Other Exotic Theories

Reference 45

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 af7ef792-32eb-43b6-b704-6c37fcc5e5be · inbound

Bosonization versus the Nielsen-Ninomiya theorem cites this paper.

Bosonization versus the Nielsen-Ninomiya theorem A Modified Villain Formulation of Fractons and Other Exotic Theories

Reference 42

Resolution: unresolved; no resolver link, observed 2026-08-02T07:43:50.193819Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.