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Paper Citation Record · LEDGER

Exotic Invertible Phases with Higher-Group Symmetries

As of 10 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 4 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 4 of 4 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 4 of 4 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-07T05:43:06.452047Z

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

source=pdf_text observed=2026-05-24T08:56:32.050768Z digest=sha256:e38bc23ce9e805e56a8338c31da59dbfef60ce4dff7df23bc10069ac2bb46121

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

source=pdf_text observed=2026-05-21T13:21:27.164386Z digest=sha256:bec76ec125c26ebcf0f40b08c6d922fc9d56dc00a3b78d140db8b10718abc455

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.

source=pdf_text observed=2026-08-07T05:43:06.452047Z digest=sha256:37bcbfce43d6337bad02143d837dce4731abbd02a5d86a75475619896693c3d5

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.

source=pdf_text observed=2026-08-01T06:57:48.999695Z digest=sha256:c1c0513d52196439e7fe12c5190e9c1995453369954558ed1a9b7e7326114fa8