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Paper Citation Record · LEDGER

Fermionic Non-Invertible Symmetries in (1+1)d: Gapped and Gapless Phases, Transitions, and Symmetry TFTs

As of 20 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 20 inbound Pith citation observations for arXiv:2405.09754.

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

pith.paper-citation-record.v1
2405.09754 v2

Coverage vector

measured 0 of 0 reference resolution

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Source: paper_references, paper_reference_links

measured 20 of 20 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-19T06:32:44.657259+00:00

measured 20 of 20 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-12T20:28:56.117509Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-06-30T23:15:08.546048Z

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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 82ca8573-0a19-4925-aa41-6a03492fec9d · inbound

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

The Higher Structure of Symmetries of Axion-Maxwell Theory Fermionic Non-Invertible Symmetries in (1+1)d: Gapped and Gapless Phases, Transitions, and Symmetry TFTs

Reference 126

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unresolved
no resolver link, observed 2026-08-12T20:28:56.117509Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-12T20:28:56.117509Z digest=sha256:22e59418cb1b6bbed1ecc5962b64433efff124f5394f1d4d2eee2ec1734d8e01

Observation daee0858-89cf-4b7a-9b6f-6b42a31ed398 · 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 Fermionic Non-Invertible Symmetries in (1+1)d: Gapped and Gapless Phases, Transitions, and Symmetry TFTs

Reference 99

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no resolver link, observed 2026-08-12T11:41:19.611641Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-12T11:41:19.611641Z digest=sha256:807edd1ab7fa90294ae7499cab001cf45aa532eb32db4b797fdda36595261c63

Observation cfbdbf6a-5e74-4829-bd35-87c2fb772564 · inbound

SymTFTs and Non-Invertible Symmetries of 6d (2,0) SCFTs of Type $D$ from M-theory cites this paper.

SymTFTs and Non-Invertible Symmetries of 6d (2,0) SCFTs of Type $D$ from M-theory Fermionic Non-Invertible Symmetries in (1+1)d: Gapped and Gapless Phases, Transitions, and Symmetry TFTs

Reference 154

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unresolved
no resolver link, observed 2026-08-11T18:35:28.103285Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-11T18:35:28.103285Z digest=sha256:1bb9b56474dd48622100b8f275967b404fbec1b03152845a720691a70e538181

Observation 3259d2f3-7942-4823-8c8e-34d95511ed47 · inbound

Gauging or extending bulk and boundary conformal field theories: Application to bulk and domain wall problem in topological matter and their descriptions by (mock) modular covariant cites this paper.

Gauging or extending bulk and boundary conformal field theories: Application to bulk and domain wall problem in topological matter and their descriptions by (mock) modular covariant Fermionic Non-Invertible Symmetries in (1+1)d: Gapped and Gapless Phases, Transitions, and Symmetry TFTs

Reference 34

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unresolved
no resolver link, observed 2026-08-11T00:19:11.652213Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-11T00:19:11.652213Z digest=sha256:1a15e8c77835f10c0080a61c4175081773eb634a33976ef61bbddcb47ad85a1d

Observation ad9d9641-b0de-4fbd-9780-f05e03ca3231 · inbound

Non-invertible SPTs: an on-site realization of (1+1)d anomaly-free fusion category symmetry cites this paper.

Non-invertible SPTs: an on-site realization of (1+1)d anomaly-free fusion category symmetry Fermionic Non-Invertible Symmetries in (1+1)d: Gapped and Gapless Phases, Transitions, and Symmetry TFTs

Reference 94

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unresolved
no resolver link, observed 2026-08-10T23:26:36.513811Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-10T23:26:36.513811Z digest=sha256:e4e9304332ec77ed4514edde781acb4d77024074ed78e1bfc0c6ea82217324e3

Observation 68113de9-0f77-44be-887c-a0ac0b74ffdc · inbound

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

SymSETs and self-dualities under gauging non-invertible symmetries Fermionic Non-Invertible Symmetries in (1+1)d: Gapped and Gapless Phases, Transitions, and Symmetry TFTs

Reference 85

Resolution
unresolved
no resolver link, observed 2026-08-10T20:40:50.274735Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-10T20:40:50.274735Z digest=sha256:19bed7b930318d07854d8721e2e25aa60938a19fc59a907f04eec33badb4f833

Observation 8bf9a32d-a98d-4e0c-a9f3-4a249952f4be · inbound

Fermionic CFTs from topological boundaries in abelian Chern-Simons theories cites this paper.

Fermionic CFTs from topological boundaries in abelian Chern-Simons theories Fermionic Non-Invertible Symmetries in (1+1)d: Gapped and Gapless Phases, Transitions, and Symmetry TFTs

Reference 13

Resolution
unresolved
no resolver link, observed 2026-08-08T11:01:31.223645Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-08T11:01:31.223645Z digest=sha256:b8226cfc264253b3e38e88262e6783f6b96ed30eb206ff6ce8417ba7043c802f

Observation 99648a4f-ecab-4ec8-8a79-d9e365294a2e · inbound

Homomorphism, substructure, and ideal: Elementary but rigorous aspects of renormalization group or hierarchical structure of topological orders cites this paper.

Homomorphism, substructure, and ideal: Elementary but rigorous aspects of renormalization group or hierarchical structure of topological orders Fermionic Non-Invertible Symmetries in (1+1)d: Gapped and Gapless Phases, Transitions, and Symmetry TFTs

Reference 255

Resolution
verified exact
arxiv_id, observed 2026-05-19T08:07:10.994830Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-05-19T08:04:49.812169Z digest=sha256:b641ecbcbadb403b61d402daccc8bb8a1e0de2754c642455da22523fb15cf323

Observation 37c725b3-958e-4595-8004-4f3800962fb0 · inbound

SymTFT Approach for Mixed States with Non-Invertible Symmetries cites this paper.

SymTFT Approach for Mixed States with Non-Invertible Symmetries Fermionic Non-Invertible Symmetries in (1+1)d: Gapped and Gapless Phases, Transitions, and Symmetry TFTs

Reference 111

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unresolved
no resolver link, observed 2026-08-06T19:35:34.929174Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T19:35:34.929174Z digest=sha256:a8a23aa75a19104ab3c77059c71c0e5e95388053a044160616cc08f2257d0186

Observation c4477d76-1cfa-48d3-98b2-4399387e8e1d · inbound

Extending fusion rules with finite subgroups: A general construction of $Z_{N}$ extended conformal field theories and their orbifoldings cites this paper.

Extending fusion rules with finite subgroups: A general construction of $Z_{N}$ extended conformal field theories and their orbifoldings Fermionic Non-Invertible Symmetries in (1+1)d: Gapped and Gapless Phases, Transitions, and Symmetry TFTs

Reference 138

Resolution
verified exact
arxiv_id, observed 2026-05-21T23:54:28.363097Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-05-21T23:53:04.901248Z digest=sha256:7d652f7b9b27e99501af355845f2b3004d51609b6fdf408d84bdb8afb7d29fa4

Observation 9b8becd8-aa96-40cd-a878-3aaf4d6a307f · inbound

Generalizing quantum dimensions: Symmetry-based classification of local pseudo-Hermitian systems and the corresponding domain walls cites this paper.

Generalizing quantum dimensions: Symmetry-based classification of local pseudo-Hermitian systems and the corresponding domain walls Fermionic Non-Invertible Symmetries in (1+1)d: Gapped and Gapless Phases, Transitions, and Symmetry TFTs

Reference 132

Resolution
verified exact
arxiv_id, observed 2026-05-17T22:50:25.005606Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-05-17T22:50:14.741276Z digest=sha256:64284c17ee50ad2714dde6659a3dc60f49156e66890e38907231fa31407108f8

Observation e219c935-bef9-4f9f-8c39-c0f7814b371f · inbound

Symmetry Spans and Enforced Gaplessness cites this paper.

Symmetry Spans and Enforced Gaplessness Fermionic Non-Invertible Symmetries in (1+1)d: Gapped and Gapless Phases, Transitions, and Symmetry TFTs

Reference 115

Resolution
metadata mismatch
arxiv_id, observed 2026-05-16T03:27:13.048957Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-05-16T03:25:08.257953Z digest=sha256:776dd9e191fc81977dcb6a2d215c0553b3e97948512e312fa94b3e85b6ef7171

Observation 2d47964b-7d55-4c93-84dc-f80dd63efe19 · inbound

Classification of 2D Fermionic Systems with a $\mathbb Z_2$ Flavor Symmetry cites this paper.

Classification of 2D Fermionic Systems with a $\mathbb Z_2$ Flavor Symmetry Fermionic Non-Invertible Symmetries in (1+1)d: Gapped and Gapless Phases, Transitions, and Symmetry TFTs

Reference 15

Resolution
verified exact
arxiv_id, observed 2026-05-11T07:50:59.245206Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-05-10T16:56:21.583588Z digest=sha256:124da3cb5b39408bacbf47832dc440ed78327f5b69845e3f1ee294f8ddf44687

Observation becd7cd0-339e-4405-91e4-b247af447230 · inbound

Categorical Symmetries via Operator Algebras cites this paper.

Categorical Symmetries via Operator Algebras Fermionic Non-Invertible Symmetries in (1+1)d: Gapped and Gapless Phases, Transitions, and Symmetry TFTs

Reference 127

Resolution
verified exact
arxiv_id, observed 2026-05-12T00:01:15.504714Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-05-07T15:56:04.295605Z digest=sha256:3438ab9e4e183ea052fe4bfce8854c71493c20f60ff161d36dde9eddfc181399

Observation 1519b4d7-c768-4c1d-9081-3b090addbd3e · inbound

Characterizing gapped phases by smeared boundary conformal field theories: Duality in unusual ordering with spontaneously broken generalized symmetries cites this paper.

Characterizing gapped phases by smeared boundary conformal field theories: Duality in unusual ordering with spontaneously broken generalized symmetries Fermionic Non-Invertible Symmetries in (1+1)d: Gapped and Gapless Phases, Transitions, and Symmetry TFTs

Reference 119

Resolution
verified exact
arxiv_id, observed 2026-05-11T03:25:56.755206Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-05-11T03:23:34.161611Z digest=sha256:8dc6206a01562b3a838a82acdc584bc8a903af351f7044d228e7414f4728566e

Observation 21c2c907-c75b-4461-b5fa-f4f5ed589477 · inbound

Characterizing gapped phases by smeared boundary conformal field theories: Duality in unusual ordering with spontaneously broken generalized symmetries cites this paper.

Characterizing gapped phases by smeared boundary conformal field theories: Duality in unusual ordering with spontaneously broken generalized symmetries Fermionic Non-Invertible Symmetries in (1+1)d: Gapped and Gapless Phases, Transitions, and Symmetry TFTs

Reference 121

Resolution
verified exact
arxiv_id, observed 2026-05-20T23:03:51.494455Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-05-20T22:59:26.266718Z digest=sha256:6ed7a906088f6c3783977ccf3eb854bd8963b688183ebade143c24da7a80bb62

Observation e3ac31e3-b768-4c9e-819a-ffc1002b1b52 · inbound

Characterizing gapped phases by smeared boundary conformal field theories: Duality in unusual ordering with spontaneously broken generalized symmetries cites this paper.

Characterizing gapped phases by smeared boundary conformal field theories: Duality in unusual ordering with spontaneously broken generalized symmetries Fermionic Non-Invertible Symmetries in (1+1)d: Gapped and Gapless Phases, Transitions, and Symmetry TFTs

Reference 114

Resolution
verified exact
arxiv_id, observed 2026-06-30T23:15:08.547644Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-06-30T23:13:18.266390Z digest=sha256:194a91fb8d10d8414249803db05a606a948ea0f77df15f21909f3a973e91d37a

Observation de75a74d-762c-49c7-8fc0-7a90ebf0682f · inbound

Characterizing gapped phases by smeared boundary conformal field theories: Duality in unusual ordering with spontaneously broken generalized symmetries cites this paper.

Characterizing gapped phases by smeared boundary conformal field theories: Duality in unusual ordering with spontaneously broken generalized symmetries Fermionic Non-Invertible Symmetries in (1+1)d: Gapped and Gapless Phases, Transitions, and Symmetry TFTs

Reference 113

Resolution
unresolved
no resolver link, observed 2026-08-04T05:19:23.119562Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-04T05:19:23.119562Z digest=sha256:e6c47e92ee8f10d6e6a9972eaf3e8d089844c9fdd308ce5cc21f3ce084dab1bd

Observation 7b2d8e91-ae18-4314-a198-51502234831b · inbound

Parafermionizing the Monster cites this paper.

Parafermionizing the Monster Fermionic Non-Invertible Symmetries in (1+1)d: Gapped and Gapless Phases, Transitions, and Symmetry TFTs

Reference 4

Resolution
unresolved
no resolver link, observed 2026-08-02T14:29:50.418729Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-02T14:29:50.418729Z digest=sha256:9893087c1c1de17eafbadc6fb7d6f8dfe1e46dc8fa8fc89e3aa60f52e4ed247d

Observation 8482a7b2-e084-4489-a555-08e0f584c337 · inbound

Non-Invertible Symmetries on Tensor-Product Hilbert Spaces and Quantum Cellular Automata cites this paper.

Non-Invertible Symmetries on Tensor-Product Hilbert Spaces and Quantum Cellular Automata Fermionic Non-Invertible Symmetries in (1+1)d: Gapped and Gapless Phases, Transitions, and Symmetry TFTs

Reference 28

Resolution
metadata mismatch
arxiv_id, observed 2026-05-15T02:53:33.623313Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-05-15T02:51:36.560672Z digest=sha256:238170d7fe6532e6eaaead07ddd1904397ace1a445e579bbf1fc2a24648d2349