Paper Citation Record · LEDGER

Exotic Invertible Phases with Higher-Group Symmetries

As of 19 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 8 inbound Pith citation observations for arXiv:2105.09454.

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

pith.paper-citation-record.v1
2105.09454 v2

Coverage vector

measured 0 of 0 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links

measured 8 of 8 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-18T06:34:40.430872+00:00

measured 8 of 8 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-14T04:36:03.432698Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-05-24T08:56:32.200845Z

Reference resolution

0 of 0 outbound references displayed

verified exact0
verified fuzzy0
unresolved0
parse uncertain0
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 1d14a3ab-daab-47d9-bf94-755af9be1a60 · inbound

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

Non-Invertible Duality Defects in 3+1 Dimensions Exotic Invertible Phases with Higher-Group Symmetries

Reference 65

Resolution: verified exact; arxiv_id, observed 2026-05-24T08:56:32.204670Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 8d4d317f-b6ee-4b43-a037-cf1fe49195de · 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 Exotic Invertible Phases with Higher-Group Symmetries

Reference 74

Resolution: verified exact; arxiv_id, observed 2026-05-21T13:21:27.574826Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 03517966-b975-43c0-8ad2-80ed35d0c133 · inbound

Non-Invertible Symmetries in 6d from Green-Schwarz Automorphisms cites this paper.

Non-Invertible Symmetries in 6d from Green-Schwarz Automorphisms Exotic Invertible Phases with Higher-Group Symmetries

Reference 50

Resolution: unresolved; no resolver link, observed 2026-08-12T20:30:17.753182Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 1903eea4-27ac-4cd0-978a-d2aaf483750c · 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 Exotic Invertible Phases with Higher-Group Symmetries

Reference 91

Resolution: unresolved; no resolver link, observed 2026-08-12T11:41:19.585503Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation ea7ff05a-0561-46ed-8572-3574b21a2eec · 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 Exotic Invertible Phases with Higher-Group Symmetries

Reference 98

Resolution: unresolved; no resolver link, observed 2026-08-11T18:35:27.887169Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation f3e3d22d-c031-461f-ae43-f10db8b52556 · inbound

Generalized Symmetries Phase Transitions with Local Quantum Fields cites this paper.

Generalized Symmetries Phase Transitions with Local Quantum Fields Exotic Invertible Phases with Higher-Group Symmetries

Reference 45

Resolution: unresolved; no resolver link, observed 2026-08-07T05:43:06.452047Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation a673124c-9591-4d0f-9ec7-a70fa5febe65 · inbound

Quantum Cellular Automata from Kramers-Wannier Dualities and Modular Relations cites this paper.

Quantum Cellular Automata from Kramers-Wannier Dualities and Modular Relations Exotic Invertible Phases with Higher-Group Symmetries

Reference 40

Resolution: unresolved; no resolver link, observed 2026-08-01T06:57:48.999695Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation ee3a455a-2588-449c-9b77-e65af7d4b1e4 · inbound

Understanding Non-Split 2-Group Symmetry: (3+1)D SymTFT, Anomaly and Bordism cites this paper.

Understanding Non-Split 2-Group Symmetry: (3+1)D SymTFT, Anomaly and Bordism Exotic Invertible Phases with Higher-Group Symmetries

Reference 37

Resolution: unresolved; no resolver link, observed 2026-08-14T04:36:03.432698Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.