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Paper Citation Record · LEDGER

$\mathbb{Q}/\mathbb{Z}$ symmetry

As of 20 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 5 inbound Pith citation observations for arXiv:2208.12071.

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

pith.paper-citation-record.v1
2208.12071 v2

Coverage vector

measured 0 of 0 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links

measured 5 of 5 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-20T06:33:59.587034+00:00

measured 5 of 5 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-16T10:20:21.633991Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-05-24T07:34:08.800293Z

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 d6df84d0-905a-45ad-b756-bb3bd6f4eb37 · 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 $\mathbb{Q}/\mathbb{Z}$ symmetry

Reference 290

Resolution
verified exact
arxiv_id, observed 2026-05-24T07:34:08.804894Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-05-24T07:32:13.524274Z digest=sha256:27fb9bf3f0da36485a5620ddbfdd0f3b253dc2a0316722f7f8c8f3998ba37dba

Observation 836d3045-3ddd-4f18-a368-01a49fdf3bd5 · inbound

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

The Higher Structure of Symmetries of Axion-Maxwell Theory $\mathbb{Q}/\mathbb{Z}$ symmetry

Reference 164

Resolution
unresolved
no resolver link, observed 2026-08-12T20:28:56.324257Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-12T20:28:56.324257Z digest=sha256:cddffe746e5163638e2fb38b4b9df55e71ed60a6e794ef80c27ebbe46aa5c809

Observation 234eb7d2-1405-4147-a207-338252beba85 · inbound

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

SymTFT, Protected Gaplessness, and Spontaneous Breaking of Non-invertible Symmetries $\mathbb{Q}/\mathbb{Z}$ symmetry

Reference 118

Resolution
unresolved
no resolver link, observed 2026-08-16T10:20:21.633991Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-16T10:20:21.633991Z digest=sha256:b9260e615f6ed84523e1abbd4d668156fea207cfbbdda1b2d1bc349ef2745ee2

Observation 737f3473-9afd-4e16-99cb-e7d5edb7e601 · inbound

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

Non-Local Conserved Currents and Continuous Non-Invertible Symmetries $\mathbb{Q}/\mathbb{Z}$ symmetry

Reference 88

Resolution
unresolved
no resolver link, observed 2026-08-06T11:19:49.368902Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T11:19:49.368902Z digest=sha256:6237504cf4f69115bd167492dff3c655c54d6008a94a3c1c7f3dc7e062484595

Observation a7b5b9df-4196-4b29-9c53-a8362c744272 · 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 $\mathbb{Q}/\mathbb{Z}$ symmetry

Reference 104

Resolution
verified exact
arxiv_id, observed 2026-05-21T23:25:45.557835Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-05-21T23:24:31.981215Z digest=sha256:a6d21b1ff760b96a3dbf58dd5ba1aaee0ab50e035722f1c3fba37051a31fa8cb