Paper Citation Record · LEDGER

Non-Invertible Chiral Symmetry and Exponential Hierarchies

As of 16 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 51 inbound Pith citation observations for arXiv:2205.06243.

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

pith.paper-citation-record.v1
2205.06243 v2

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measured 51 of 51 standing notices

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

measured 51 of 51 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-16T10:20:21.368235Z

measured 0 of 1 external citation measurements

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Source: arxiv_reference, observed 2026-07-04T20:50:10.763551Z

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Outbound references

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Pith citing papers

Observation 17e13dc1-ff57-4a68-8336-5230b827561f · 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 Non-Invertible Chiral Symmetry and Exponential Hierarchies

Reference 9

Resolution: verified exact; arxiv_id, observed 2026-05-21T13:21:27.397735Z

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Observation 8c14bced-b01f-4905-b013-11a3767307eb · inbound

ICTP Lectures on (Non-)Invertible Generalized Symmetries cites this paper.

ICTP Lectures on (Non-)Invertible Generalized Symmetries Non-Invertible Chiral Symmetry and Exponential Hierarchies

Reference 19

Resolution: metadata mismatch; arxiv_id, observed 2026-05-16T07:50:05.195829Z

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Observation ed054170-b916-44fc-afa3-ddd62215ab82 · inbound

Lectures on Generalized Symmetries cites this paper.

Lectures on Generalized Symmetries Non-Invertible Chiral Symmetry and Exponential Hierarchies

Reference 128

Resolution: metadata mismatch; arxiv_id, observed 2026-05-17T14:14:52.029215Z

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Observation 8fa59251-d52a-4b84-b4fe-1f4a9942dc05 · 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 Non-Invertible Chiral Symmetry and Exponential Hierarchies

Reference 74

Resolution: verified exact; arxiv_id, observed 2026-05-24T07:34:08.443075Z

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Observation 9d7556df-bd8f-40ae-91e8-a7674daea4e4 · inbound

Defect Charges, Gapped Boundary Conditions, and the Symmetry TFT cites this paper.

Defect Charges, Gapped Boundary Conditions, and the Symmetry TFT Non-Invertible Chiral Symmetry and Exponential Hierarchies

Reference 64

Resolution: metadata mismatch; arxiv_id, observed 2026-05-23T22:03:30.258644Z

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Observation ad6462aa-299c-41be-8706-f66381f5538e · inbound

The Higher Structure of Symmetries of Axion-Maxwell Theory cites this paper.

The Higher Structure of Symmetries of Axion-Maxwell Theory Non-Invertible Chiral Symmetry and Exponential Hierarchies

Reference 206

Resolution: unresolved; no resolver link, observed 2026-08-12T20:28:56.595687Z

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Observation a496d827-94ab-45d6-b462-c477b3ae9170 · inbound

The Seiberg-Witten Axion cites this paper.

The Seiberg-Witten Axion Non-Invertible Chiral Symmetry and Exponential Hierarchies

Reference 11

Resolution: unresolved; no resolver link, observed 2026-08-12T14:38:36.144909Z

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Observation 990c0093-9c15-47ce-962b-4496bd4452d7 · inbound

SymTFT Approach to 2D Orbifold Groupoids: `t Hooft Anomalies, Gauging, and Partition Functions cites this paper.

SymTFT Approach to 2D Orbifold Groupoids: `t Hooft Anomalies, Gauging, and Partition Functions Non-Invertible Chiral Symmetry and Exponential Hierarchies

Reference 34

Resolution: unresolved; no resolver link, observed 2026-08-12T11:41:19.405826Z

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Observation c9ac14ff-1bc3-440c-83c7-a7618a64d349 · inbound

Noninvertible Symmetry-Enriched Quantum Critical Point cites this paper.

Noninvertible Symmetry-Enriched Quantum Critical Point Non-Invertible Chiral Symmetry and Exponential Hierarchies

Reference 21

Resolution: unresolved; no resolver link, observed 2026-08-12T10:47:19.810003Z

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Observation c40bcc63-eae8-4ebe-a181-919e5bf71873 · 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 Non-Invertible Chiral Symmetry and Exponential Hierarchies

Reference 9

Resolution: unresolved; no resolver link, observed 2026-08-11T18:19:46.574023Z

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Observation c9ccea3d-c1e5-428a-ba9c-af92d4bdf043 · inbound

Anomalous Continuous Translations cites this paper.

Anomalous Continuous Translations Non-Invertible Chiral Symmetry and Exponential Hierarchies

Reference 38

Resolution: unresolved; no resolver link, observed 2026-08-11T12:21:40.780690Z

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Observation 286ea310-793b-43b1-a2d6-564002868991 · inbound

Formal Theory at ICHEP 2024 cites this paper.

Formal Theory at ICHEP 2024 Non-Invertible Chiral Symmetry and Exponential Hierarchies

Reference 58

Resolution: unresolved; no resolver link, observed 2026-08-10T23:09:21.871758Z

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Observation 03b696a5-142e-4838-ac8e-07011f6a8d43 · inbound

Higher Representations and Quark Confinement cites this paper.

Higher Representations and Quark Confinement Non-Invertible Chiral Symmetry and Exponential Hierarchies

Reference 105

Resolution: unresolved; no resolver link, observed 2026-08-10T20:18:00.587964Z

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Observation 6497c0fe-9c81-401c-bac6-9512c1b2376f · inbound

SymTFT, Protected Gaplessness, and Spontaneous Breaking of Non-invertible Symmetries cites this paper.

SymTFT, Protected Gaplessness, and Spontaneous Breaking of Non-invertible Symmetries Non-Invertible Chiral Symmetry and Exponential Hierarchies

Reference 29

Resolution: unresolved; no resolver link, observed 2026-08-16T10:20:21.368235Z

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Observation 2a1cb7eb-6e6c-433f-ab85-1b08255abb2b · 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 Non-Invertible Chiral Symmetry and Exponential Hierarchies

Reference 31

Resolution: unresolved; no resolver link, observed 2026-08-16T04:42:36.035936Z

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Observation 55f4858b-0c3b-4bcd-9e30-c84b6acf8537 · inbound

Non-invertible symmetry as an axion-less solution to the strong CP problem cites this paper.

Non-invertible symmetry as an axion-less solution to the strong CP problem Non-Invertible Chiral Symmetry and Exponential Hierarchies

Reference 24

Resolution: unresolved; no resolver link, observed 2026-08-15T23:25:24.182183Z

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Observation 737f6e64-e6f0-4541-88a3-005ebe58895f · inbound

Lepton mass textures from non-invertible multiplication rules cites this paper.

Lepton mass textures from non-invertible multiplication rules Non-Invertible Chiral Symmetry and Exponential Hierarchies

Reference 29

Resolution: unresolved; no resolver link, observed 2026-08-15T22:29:00.299699Z

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Observation 6b0a8fa9-2a57-4648-85bc-ac1226117d81 · inbound

On the Physics of Higher Condensation Defects cites this paper.

On the Physics of Higher Condensation Defects Non-Invertible Chiral Symmetry and Exponential Hierarchies

Reference 72

Resolution: unresolved; no resolver link, observed 2026-08-07T10:50:54.017816Z

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Observation dd62826b-a749-4db7-91ea-5b80e76a0228 · inbound

"Symmetry-from-Anomaly" in Condensed Matter related Constructions cites this paper.

"Symmetry-from-Anomaly" in Condensed Matter related Constructions Non-Invertible Chiral Symmetry and Exponential Hierarchies

Reference 4

Resolution: unresolved; no resolver link, observed 2026-08-07T05:14:33.824004Z

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Observation 2976514c-ab4e-431e-afc6-28f9fa1fa0d6 · inbound

Matter symmetries in supersymmetric standard models from non-invertible selection rules cites this paper.

Matter symmetries in supersymmetric standard models from non-invertible selection rules Non-Invertible Chiral Symmetry and Exponential Hierarchies

Reference 20

Resolution: unresolved; no resolver link, observed 2026-08-07T04:38:09.483616Z

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Observation 82460a61-4682-4165-aab6-c64f2e52e672 · inbound

R-symmetries, anomalies and non-invertible defects from non-BPS branes cites this paper.

R-symmetries, anomalies and non-invertible defects from non-BPS branes Non-Invertible Chiral Symmetry and Exponential Hierarchies

Reference 41

Resolution: unresolved; no resolver link, observed 2026-08-07T00:34:48.414974Z

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Observation 72911a3a-7c45-4284-96e8-3f3c9bee145d · inbound

Dyon Loops and Abelian Instantons cites this paper.

Dyon Loops and Abelian Instantons Non-Invertible Chiral Symmetry and Exponential Hierarchies

Reference 31

Resolution: verified exact; arxiv_id, observed 2026-05-25T07:45:29.358971Z

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

Observation 0431694d-97d6-47a9-ac37-cf885fbd1f9c · inbound

ADE triality via (non-)invertible symmetry gauging cites this paper.

ADE triality via (non-)invertible symmetry gauging Non-Invertible Chiral Symmetry and Exponential Hierarchies

Reference 33

Resolution: unresolved; no resolver link, observed 2026-08-15T19:47:17.732259Z

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Observation 293ed37b-5cfd-4471-8dcb-1834958ee77f · inbound

Radiative lepton seesaw model in a non-invertible fusion rule and gauged $B-L$ symmetry cites this paper.

Radiative lepton seesaw model in a non-invertible fusion rule and gauged $B-L$ symmetry Non-Invertible Chiral Symmetry and Exponential Hierarchies

Reference 4

Resolution: unresolved; no resolver link, observed 2026-08-15T19:43:01.338883Z

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Observation 73a6e745-3c45-4be2-9dff-6129f1c5865b · inbound

Symmetry theta angles and topological Witten effects cites this paper.

Symmetry theta angles and topological Witten effects Non-Invertible Chiral Symmetry and Exponential Hierarchies

Reference 29

Resolution: unresolved; no resolver link, observed 2026-08-06T21:32:23.274606Z

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Observation 79098308-f4c4-49ff-be62-f98b2538af44 · inbound

On discrete gauging and non-invertible selection rules cites this paper.

On discrete gauging and non-invertible selection rules Non-Invertible Chiral Symmetry and Exponential Hierarchies

Reference 20

Resolution: unresolved; no resolver link, observed 2026-08-06T20:44:22.054867Z

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Observation 1bd0d752-58b6-4805-803f-30f51da958b2 · inbound

A radiative lepton model in a non-invertible fusion rule cites this paper.

A radiative lepton model in a non-invertible fusion rule Non-Invertible Chiral Symmetry and Exponential Hierarchies

Reference 8

Resolution: unresolved; no resolver link, observed 2026-08-06T17:05:56.730418Z

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Observation 6e22db45-6360-4c28-9436-32c45870bc9b · inbound

Three-loop induced neutrino mass model in a non-invertible symmetry cites this paper.

Three-loop induced neutrino mass model in a non-invertible symmetry Non-Invertible Chiral Symmetry and Exponential Hierarchies

Reference 4

Resolution: unresolved; no resolver link, observed 2026-08-06T15:27:52.480481Z

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Observation 8bc394d4-de57-4c2f-8f56-d872f1dcb115 · inbound

Phenomenology of Fractionally Charged Particles: Two Reps Are Better Than One cites this paper.

Phenomenology of Fractionally Charged Particles: Two Reps Are Better Than One Non-Invertible Chiral Symmetry and Exponential Hierarchies

Reference 15

Resolution: unresolved; no resolver link, observed 2026-08-06T15:06:20.463350Z

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Observation 010639a8-9d8a-4973-944b-1ff70b4eb5f3 · inbound

Non-Local Conserved Currents and Continuous Non-Invertible Symmetries cites this paper.

Non-Local Conserved Currents and Continuous Non-Invertible Symmetries Non-Invertible Chiral Symmetry and Exponential Hierarchies

Reference 83

Resolution: unresolved; no resolver link, observed 2026-08-06T11:19:49.353150Z

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Unavailable: canonical work link unavailable.

Observation f558c025-57f6-4260-8689-4ed881ce3edf · inbound

Total instanton restriction via multiverse interference: Noncompact gauge theories and (-1)-form symmetries cites this paper.

Total instanton restriction via multiverse interference: Noncompact gauge theories and (-1)-form symmetries Non-Invertible Chiral Symmetry and Exponential Hierarchies

Reference 106

Resolution: metadata mismatch; arxiv_id, observed 2026-05-21T23:25:45.698686Z

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.

Observation 93d9ffe3-11ab-4d0f-8ff3-0a3a450db34b · inbound

Non-invertible Symmetry as a Solution to the Strong CP Problem in a GUT-inspired Standard Model cites this paper.

Non-invertible Symmetry as a Solution to the Strong CP Problem in a GUT-inspired Standard Model Non-Invertible Chiral Symmetry and Exponential Hierarchies

Reference 5

Resolution: unresolved; no resolver link, observed 2026-08-15T17:27:52.756558Z

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Observation 67541556-db48-41e6-858b-2dfc25173b63 · inbound

Spurion Analysis for Non-Invertible Selection Rules from Near-Group Fusions cites this paper.

Spurion Analysis for Non-Invertible Selection Rules from Near-Group Fusions Non-Invertible Chiral Symmetry and Exponential Hierarchies

Reference 44

Resolution: metadata mismatch; arxiv_id, observed 2026-05-18T22:11:53.234965Z

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

Observation c2911849-ba60-42f2-a636-aa8f47be7ac3 · inbound

A natural realization of inverse seesaw model in a non-invertible selection rule cites this paper.

A natural realization of inverse seesaw model in a non-invertible selection rule Non-Invertible Chiral Symmetry and Exponential Hierarchies

Reference 17

Resolution: unresolved; no resolver link, observed 2026-08-05T17:29:36.961540Z

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Observation 67ca1f84-34fc-4eff-8a26-25563679a4d3 · inbound

Non-Invertible Selection Rules on Heterotic Non-Abelian Orbifolds cites this paper.

Non-Invertible Selection Rules on Heterotic Non-Abelian Orbifolds Non-Invertible Chiral Symmetry and Exponential Hierarchies

Reference 22

Resolution: unresolved; no resolver link, observed 2026-08-04T18:31:50.049255Z

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Observation abb41cf6-728d-47f0-b3a7-0c671dad65e9 · inbound

SymTFT for Continuous Symmetries: Non-linear Realizations and Spontaneous Breaking cites this paper.

SymTFT for Continuous Symmetries: Non-linear Realizations and Spontaneous Breaking Non-Invertible Chiral Symmetry and Exponential Hierarchies

Reference 33

Resolution: unresolved; no resolver link, observed 2026-08-04T17:58:04.452746Z

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Observation 5462a033-81d9-4c09-8a55-e04200d1c836 · inbound

Radiative lepton model in a non-invertible fusion rule cites this paper.

Radiative lepton model in a non-invertible fusion rule Non-Invertible Chiral Symmetry and Exponential Hierarchies

Reference 7

Resolution: unresolved; no resolver link, observed 2026-08-04T09:11:27.532112Z

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Observation 50d12997-70f8-4236-80ea-c5ad36f9ebc7 · inbound

Automorphism in Gauge Theories: Higher Symmetries and Transversal Non-Clifford Logical Gates cites this paper.

Automorphism in Gauge Theories: Higher Symmetries and Transversal Non-Clifford Logical Gates Non-Invertible Chiral Symmetry and Exponential Hierarchies

Reference 34

Resolution: metadata mismatch; arxiv_id, observed 2026-05-17T20:20:11.669710Z

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

Observation 29acf1e0-96b7-4ec0-9bb1-5263fec850c0 · inbound

Anomalies on ALE spaces and phases of gauge theory cites this paper.

Anomalies on ALE spaces and phases of gauge theory Non-Invertible Chiral Symmetry and Exponential Hierarchies

Reference 31

Resolution: unresolved; no resolver link, observed 2026-08-03T16:49:23.489812Z

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Observation fe8424f4-970d-4c7e-aa52-5ac2bb2c104f · inbound

Non-invertible translation from Lieb-Schultz-Mattis anomaly cites this paper.

Non-invertible translation from Lieb-Schultz-Mattis anomaly Non-Invertible Chiral Symmetry and Exponential Hierarchies

Reference 35

Resolution: unresolved; no resolver link, observed 2026-08-03T07:02:22.156410Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation f482de99-0c37-415e-917f-93e9fe44f27b · inbound

Generalized Families of QFTs cites this paper.

Generalized Families of QFTs Non-Invertible Chiral Symmetry and Exponential Hierarchies

Reference 101

Resolution: metadata mismatch; arxiv_id, observed 2026-05-16T05:10:40.677717Z

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Observation 9de51d15-b346-4171-9709-1a11ed754b7b · inbound

Generalized Families of QFTs cites this paper.

Generalized Families of QFTs Non-Invertible Chiral Symmetry and Exponential Hierarchies

Reference 101

Resolution: unresolved; no resolver link, observed 2026-08-03T03:21:15.084380Z

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Observation ea61be78-fc20-4bba-a4bc-b37777a13bb2 · inbound

Symmetry Spans and Enforced Gaplessness cites this paper.

Symmetry Spans and Enforced Gaplessness Non-Invertible Chiral Symmetry and Exponential Hierarchies

Reference 35

Resolution: metadata mismatch; arxiv_id, observed 2026-05-16T03:27:13.450807Z

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.

Observation 13ed4233-9336-4e7d-8c86-370d109ffd26 · inbound

Type-IV 't Hooft Anomalies on the Lattice: Emergent Higher-Categorical Symmetries and Applications to LSM Systems cites this paper.

Type-IV 't Hooft Anomalies on the Lattice: Emergent Higher-Categorical Symmetries and Applications to LSM Systems Non-Invertible Chiral Symmetry and Exponential Hierarchies

Reference 41

Resolution: metadata mismatch; arxiv_id, observed 2026-05-13T18:18:06.224049Z

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.

Observation 01bfb7f0-30a0-4b50-ad20-16e1c0a21301 · inbound

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

Lattice chiral symmetry from bosons in 3+1d Non-Invertible Chiral Symmetry and Exponential Hierarchies

Reference 29

Resolution: verified exact; arxiv_id, observed 2026-05-11T00:10:49.616198Z

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.

Observation 476aa53a-9543-4967-8bf9-1dfa7406c600 · inbound

Quark-Lepton Color-Flavor Unification cites this paper.

Quark-Lepton Color-Flavor Unification Non-Invertible Chiral Symmetry and Exponential Hierarchies

Reference 51

Resolution: verified exact; arxiv_id, observed 2026-06-29T14:43:31.298542Z

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.

Observation 151f440e-3e4e-413e-906b-4fd9824b0038 · inbound

How traversable is a traversable wormhole? cites this paper.

How traversable is a traversable wormhole? Non-Invertible Chiral Symmetry and Exponential Hierarchies

Reference 49

Resolution: verified exact; arxiv_id, observed 2026-07-03T12:28:07.574997Z

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.

Observation ff2dffc2-dab9-4a43-9137-081ccf5e2cfe · inbound

Universal two-zero texture in SO(10): implications of JUNO and realization from non-invertible symmetries cites this paper.

Universal two-zero texture in SO(10): implications of JUNO and realization from non-invertible symmetries Non-Invertible Chiral Symmetry and Exponential Hierarchies

Reference 48

Resolution: unresolved; no resolver link, observed 2026-07-12T12:31:18.647149Z

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Unavailable: canonical work link unavailable.

Observation 07e5f231-d30c-420c-aa8e-a661fa963412 · inbound

Non-invertible symmetries in the axiverse, and the imaginary wormholes cites this paper.

Non-invertible symmetries in the axiverse, and the imaginary wormholes Non-Invertible Chiral Symmetry and Exponential Hierarchies

Reference 44

Resolution: verified exact; arxiv_id, observed 2026-07-04T20:50:10.765049Z

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.

Observation 9220dad0-07ad-4b1e-ae24-ffe9eff7446b · inbound

Non-invertible symmetries in the axiverse, and the imaginary wormholes cites this paper.

Non-invertible symmetries in the axiverse, and the imaginary wormholes Non-Invertible Chiral Symmetry and Exponential Hierarchies

Reference 44

Resolution: unresolved; no resolver link, observed 2026-07-12T12:07:24.596009Z

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Unavailable: canonical work link unavailable.

Observation 0a74831c-6142-4339-aa8c-2e868a33199a · inbound

Running soft theorems in effective field theory cites this paper.

Running soft theorems in effective field theory Non-Invertible Chiral Symmetry and Exponential Hierarchies

Reference 39

Resolution: unresolved; no resolver link, observed 2026-08-14T04:32:24.172167Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.