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Paper Citation Record · LEDGER

Lattice T-duality from non-invertible symmetries in quantum spin chains

As of 17 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 19 inbound Pith citation observations for arXiv:2412.18606.

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

pith.paper-citation-record.v1
2412.18606 v2

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measured 0 of 0 reference resolution

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Source: paper_references, paper_reference_links

measured 19 of 19 standing notices

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Source: scholarly_work_events, retraction_status_cache, observed 2026-08-16T06:30:59.297886+00:00

measured 19 of 19 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-16T04:42:36.273286Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-07-04T20:40:08.360359Z

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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 25c23015-d4bd-4a72-a90e-ed85fd8761e8 · inbound

SymSETs and self-dualities under gauging non-invertible symmetries cites this paper.

SymSETs and self-dualities under gauging non-invertible symmetries Lattice T-duality from non-invertible symmetries in quantum spin chains

Reference 18

Resolution
unresolved
no resolver link, observed 2026-08-10T20:40:49.945811Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-10T20:40:49.945811Z digest=sha256:ba9f5d6ee023c3faa733919575f8adacd6fd4ffc77efd70bfb172ff570693ca6

Observation 8bb09384-6f0a-409f-aebc-b5b8f7d00484 · inbound

Deconfined criticality as intrinsically gapless topological state in one dimension cites this paper.

Deconfined criticality as intrinsically gapless topological state in one dimension Lattice T-duality from non-invertible symmetries in quantum spin chains

Reference 127

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verified exact
arxiv_id, observed 2026-05-23T02:12:24.153057Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-05-23T02:08:54.608348Z digest=sha256:0c0184015bed986686a859531d05119ee17033db3ec749b37cf0cd72e6104f39

Observation fe0b4029-2ba4-4ca9-a09f-0bf9775caf16 · inbound

Strange correlator and string order parameter for non-invertible symmetry protected topological phases in 1+1d cites this paper.

Strange correlator and string order parameter for non-invertible symmetry protected topological phases in 1+1d Lattice T-duality from non-invertible symmetries in quantum spin chains

Reference 76

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unresolved
no resolver link, observed 2026-08-16T04:42:36.273286Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-16T04:42:36.273286Z digest=sha256:6eb6f622fa944611975363c9aef5c7e5794cec5384425e0ef42f2359f3f7d6d3

Observation bc09cef5-eb71-44e0-a5ae-3cf8fabcbf0e · inbound

On the Physics of Higher Condensation Defects cites this paper.

On the Physics of Higher Condensation Defects Lattice T-duality from non-invertible symmetries in quantum spin chains

Reference 36

Resolution
unresolved
no resolver link, observed 2026-08-07T10:50:53.762725Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T10:50:53.762725Z digest=sha256:888ca234b22098522efba55ce3dc2cd5f5aab8397b8e5dd8bbc9bdc5165e51f0

Observation 386d8748-36b2-480f-a0dc-325b8d5f2868 · inbound

Disjoint additivity and local quantum physics cites this paper.

Disjoint additivity and local quantum physics Lattice T-duality from non-invertible symmetries in quantum spin chains

Reference 77

Resolution
unresolved
no resolver link, observed 2026-08-05T10:57:40.826250Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-05T10:57:40.826250Z digest=sha256:88dd626278851250e8e7642d14a32d6a32b80529cf56d14fc7f8be596ab05c6e

Observation bd9d82a1-05c8-462f-96f5-8298715dc93a · inbound

Symmetry-Enforced Fermi Surfaces cites this paper.

Symmetry-Enforced Fermi Surfaces Lattice T-duality from non-invertible symmetries in quantum spin chains

Reference 12

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verified exact
arxiv_id, observed 2026-05-17T01:58:51.706917Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-05-17T01:55:34.806212Z digest=sha256:14618983e2a99b2de1fa7915e74a725234b947359ddb7d971cf47b688134a80d

Observation 89801070-f196-406f-9aa5-64d3b79923b0 · inbound

Tori, Klein Bottles, and Modulo 8 Parity/Time-reversal Anomalies of 2+1d Staggered Fermions cites this paper.

Tori, Klein Bottles, and Modulo 8 Parity/Time-reversal Anomalies of 2+1d Staggered Fermions Lattice T-duality from non-invertible symmetries in quantum spin chains

Reference 36

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verified exact
arxiv_id, observed 2026-05-16T17:58:12.717990Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-05-16T17:56:24.731142Z digest=sha256:0f52cbdad236fe1496c29a919392195e4b2788a4544bb95a5fcebf51cf806e8c

Observation b3bae618-146f-4ef0-ad56-e74414b61338 · inbound

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

Exactly Solvable 1+1d Chiral Lattice Gauge Theories Lattice T-duality from non-invertible symmetries in quantum spin chains

Reference 57

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unresolved
no resolver link, observed 2026-08-03T09:26:58.029266Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T09:26:58.029266Z digest=sha256:1f0ad624407d2331773d780f8abdaf1a9f4099057212cd789af08ac00328d7ed

Observation 2cc24540-15f3-4c8c-81cf-9afaefcc7fbe · inbound

Symmetry Spans and Enforced Gaplessness cites this paper.

Symmetry Spans and Enforced Gaplessness Lattice T-duality from non-invertible symmetries in quantum spin chains

Reference 68

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verified exact
arxiv_id, observed 2026-05-16T03:27:13.406487Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-05-16T03:25:08.257953Z digest=sha256:a9506f1bfd925447c753df821a73e2fcd9fdb1d21dd6a8cba80f9dd0c6c91067

Observation 6b0e7596-559b-430d-b147-2ed65f96c339 · inbound

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

Lattice chiral symmetry from bosons in 3+1d Lattice T-duality from non-invertible symmetries in quantum spin chains

Reference 97

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verified exact
arxiv_id, observed 2026-05-11T00:10:50.047177Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-05-10T18:41:27.428791Z digest=sha256:546730c1d258404f3d1c0f029e1c811a3f6ba5a3d810ab71e19fea23749b06cf

Observation fb01da43-2e78-421b-9b3f-e36aa29c742d · 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 T-duality from non-invertible symmetries in quantum spin chains

Reference 30

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verified exact
arxiv_id, observed 2026-05-11T05:30:58.730062Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-05-10T18:06:14.686438Z digest=sha256:bed3d1c58844dab2bde6e2f039aef5eda2dbb001181656a121007a8ca8ec298d

Observation 8e8834ff-d08a-4527-a3e2-a28bc7662d17 · inbound

Non-Invertible Symmetries and Boundaries for Two-Dimensional Fermions cites this paper.

Non-Invertible Symmetries and Boundaries for Two-Dimensional Fermions Lattice T-duality from non-invertible symmetries in quantum spin chains

Reference 44

Resolution
verified exact
arxiv_id, observed 2026-05-15T02:48:33.517553Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-05-15T02:46:08.288430Z digest=sha256:672b3a9f3b6c66457f0b9bc6c2d79cc4f06407a35026f0e1932c8ab142d18140

Observation 3f66f69e-9742-4641-8bcf-7192cc9c5f1a · inbound

A Twist on Scattering from Defect Anomalies cites this paper.

A Twist on Scattering from Defect Anomalies Lattice T-duality from non-invertible symmetries in quantum spin chains

Reference 83

Resolution
verified exact
arxiv_id, observed 2026-05-15T02:38:34.069488Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-05-15T02:38:14.831544Z digest=sha256:9493f2353ef5ae21891c189b6f9f0cdf9071c284e337d5050bb3eb077cb493c9

Observation ec69ac13-5271-452c-9cd7-455b18de2450 · 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 T-duality from non-invertible symmetries in quantum spin chains

Reference 13

Resolution
verified exact
arxiv_id, observed 2026-05-20T04:03:04.435305Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-05-20T04:02:14.165395Z digest=sha256:094e0395bee2172a974dbcd0d069bbb093968bc2af56377224844a0ab77d98f6

Observation de4d5519-97e6-4a57-ba0d-3f1504b64ead · inbound

Entangling Power: A Probe of Symmetry and Integrability in Quantum Many-Body Systems cites this paper.

Entangling Power: A Probe of Symmetry and Integrability in Quantum Many-Body Systems Lattice T-duality from non-invertible symmetries in quantum spin chains

Reference 62

Resolution
verified exact
arxiv_id, observed 2026-05-21T05:33:58.824613Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-05-21T05:30:45.111397Z digest=sha256:bcdfe27617362e313e22a48c399c2d49171dbc7e303a734a56dd793f03d031d2

Observation a76fcf5c-8d32-4a40-b629-ca547ec995fb · inbound

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

Infinite-Order Lattice Chiral Anomalies and CPT Lattice T-duality from non-invertible symmetries in quantum spin chains

Reference 18

Resolution
verified exact
arxiv_id, observed 2026-07-03T12:08:06.521215Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-06-27T09:09:32.548222Z digest=sha256:09c48bb211cea36689de0fbea305d6c5d4248ce5fb167d7d6d2f2e06823b9836

Observation 86c56ea0-2f29-4816-a19e-30fdd30c850c · inbound

Lattice non-invertible symmetry from non-commuting transfer matrices cites this paper.

Lattice non-invertible symmetry from non-commuting transfer matrices Lattice T-duality from non-invertible symmetries in quantum spin chains

Reference 57

Resolution
verified exact
arxiv_id, observed 2026-07-04T20:40:08.362269Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-06-25T19:48:40.608059Z digest=sha256:d653786cb51ab7b51cf979dce9b01b02cab6158819bfcf7248da1809ca1b00a6

Observation 9bcfd82f-bd1e-43c1-8a7e-3a103e6b6302 · inbound

Lattice non-invertible symmetry from non-commuting transfer matrices cites this paper.

Lattice non-invertible symmetry from non-commuting transfer matrices Lattice T-duality from non-invertible symmetries in quantum spin chains

Reference 57

Resolution
unresolved
no resolver link, observed 2026-08-02T10:15:06.098898Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-02T10:15:06.098898Z digest=sha256:42a2a15c46103106f6df69dd1f60b38120eb5f33e9071e5e52c1dd90ae78649c

Observation 1b499185-9b4a-499e-8013-4a642c08327e · inbound

Fermionic Villain model with exact lattice chiral symmetries cites this paper.

Fermionic Villain model with exact lattice chiral symmetries Lattice T-duality from non-invertible symmetries in quantum spin chains

Reference 34

Resolution
unresolved
no resolver link, observed 2026-08-15T15:10:42.701925Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-15T15:10:42.701925Z digest=sha256:0c649663143b5d2cb602a0f7edf29bd66abc82489a2bcfffcc342eb36ca89961