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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 9 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 14 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

Typed states for the displayed outbound observations.

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 2026-08-09T06:31:02.800959+00:00

measured 14 of 14 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-08T11:01:31.223645Z

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

Reference resolution

0 of 0 outbound references displayed

  • verified exact0
  • verified fuzzy0
  • unresolved0
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  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

No outbound reference observations are available for this paper version.

Pith citing papers

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=sha256:4f620533b53f73e568b24faf843454f25155c543ae3d976b440f28acf162173c

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 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-05-19T08:04:49.812169Z digest=sha256:2f2c955a848e85394a2bb84aadc14b0d1286dd7a7f99b9cea925fb59dc1ab90d

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

Resolution
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:c1e979fefc7a2f2990e662ca35ae4b667445cbfbb7d48d9dc9995f4fcec92310

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 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-05-21T23:53:04.901248Z digest=sha256:7b78156f8e66f1f8ac4604381c405f393b3c13c08851b2fce19b0e05dfd0531d

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 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-05-17T22:50:14.741276Z digest=sha256:71f2ea5bc4188b1408f2b9ae33103b4c331a1b54c73627ca5829a2912d7ebdb1

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 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-05-16T03:25:08.257953Z digest=sha256:24092591ac83c39e34de4303f33fe5fb27022e4310558f6ef7d1a5ad442d9823

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 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-05-10T16:56:21.583588Z digest=sha256:76e8e4b7bde22b617f47b15b5aeb3cff5c77bf2544dbe77b5ceb26ac331f4cc5

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 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-05-07T15:56:04.295605Z digest=sha256:9e716142feabd2b9b62c805783a163c57aafb680086f8a23865ece96e50c87de

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 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-05-11T03:23:34.161611Z digest=sha256:eb0884a5702f5cc7d2d9d3aa654f500a6d30940c36be0bd6915d76b0c345cee1

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 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-05-20T22:59:26.266718Z digest=sha256:00d4cac23eeadbc9b247fe45d3a1adfc0bee85c3ab156f77da68f0397f7dcbb0

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 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-06-30T23:13:18.266390Z digest=sha256:144dc51822ba32d43029e11bae5bbdcfe147a6cba51574db65277eb313d2fd02

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=sha256:66f371e77bebcf9b1923aecb5efc65e7323d11c82ba89ffbf4fe37e40b915564

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=sha256:4e132833b46729de26599374b4c07ff89129e92d0792c7157e9463b9039304f8

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 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-05-15T02:51:36.560672Z digest=sha256:93cac0140520a17b9eed14113ce6979017473b746d29593d20fd3f9d746b85a0