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Paper Citation Record · LEDGER

Lattice realization of the axial $U(1)$ noninvertible symmetry

As of 12 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 2 inbound Pith citation observations for arXiv:2401.01331.

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

pith.paper-citation-record.v1
2401.01331 v4

Coverage vector

measured 0 of 0 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links

measured 2 of 2 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-12T06:34:41.77262+00:00

measured 2 of 2 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-12T20:28:55.973172Z

measured 0 of 1 external citation measurements

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

Source: pith, observed 2026-08-11T18:19:47.054773Z

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 c48f76fe-d25d-41b3-853f-b8fe25f26a7f · inbound

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

The Higher Structure of Symmetries of Axion-Maxwell Theory Lattice realization of the axial $U(1)$ noninvertible symmetry

Reference 98

Resolution
unresolved
no resolver link, observed 2026-08-12T20:28:55.973172Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-12T20:28:55.973172Z digest=sha256:7aaf51930405ed4fca3f0bc627b9d7afab0a41e2695f7ba384fad3916bd505ac

Observation c102ec03-1325-493c-91a3-19be0bada822 · inbound

Axion QED as a Lattice Gauge Theory and Non-Invertible Symmetry cites this paper.

Axion QED as a Lattice Gauge Theory and Non-Invertible Symmetry Lattice realization of the axial $U(1)$ noninvertible symmetry

Reference 1

Resolution
verified exact
local_arxiv, observed 2026-08-11T18:19:47.061643Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-11T18:19:46.533201Z digest=sha256:d3349fe83845bc947048f6a57f7ec22e96d3a825b2512e3ac631cc89be34c27e