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Paper Citation Record · LEDGER

A unified view on symmetry, anomalous symmetry and non-invertible gravitational anomaly

As of 7 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 8 inbound Pith citation observations for arXiv:2106.02069.

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

pith.paper-citation-record.v1
2106.02069 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 2026-08-07T06:34:17.273281+00:00

measured 8 of 8 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-06T21:09:18.579330Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-07-01T16:25:49.550503Z

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 9e8b677b-75d2-4df6-96d8-9c0b60364e9d · inbound

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

Non-Invertible Duality Defects in 3+1 Dimensions A unified view on symmetry, anomalous symmetry and non-invertible gravitational anomaly

Reference 34

Resolution
verified exact
arxiv_id, observed 2026-05-24T08:56:32.350784Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-05-24T08:56:32.050768Z digest=sha256:fee3ce55335a93e982a787b07dea1f85f36f79321bd2047de38daae5cac15d9c

Observation b34a9f76-07bb-412c-8c2b-1686ee6ba90f · 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 A unified view on symmetry, anomalous symmetry and non-invertible gravitational anomaly

Reference 255

Resolution
verified exact
arxiv_id, observed 2026-05-24T07:34:08.679007Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-05-24T07:32:13.524274Z digest=sha256:9d4f95cbcb8f3d2865492a3fcde7be84c59adb33bec2a27da7b215c5baacb3c2

Observation 0edd01db-90ab-4f38-a9e4-62b8205ed91d · inbound

Defect Charges, Gapped Boundary Conditions, and the Symmetry TFT cites this paper.

Defect Charges, Gapped Boundary Conditions, and the Symmetry TFT A unified view on symmetry, anomalous symmetry and non-invertible gravitational anomaly

Reference 13

Resolution
metadata mismatch
arxiv_id, observed 2026-05-23T22:03:30.415229Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-05-23T22:02:57.740404Z digest=sha256:48394e83d5fdbdd290f5d7251b0bf7ae279aff3899140f277b72d6da46e14d9c

Observation 94706c6e-2ca2-411c-97af-f26893b05639 · inbound

Gauging Non-Invertible Symmetries in (2+1)d Topological Orders cites this paper.

Gauging Non-Invertible Symmetries in (2+1)d Topological Orders A unified view on symmetry, anomalous symmetry and non-invertible gravitational anomaly

Reference 114

Resolution
unresolved
no resolver link, observed 2026-08-06T21:09:18.579330Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T21:09:18.579330Z digest=sha256:6ff2c392e2b505074ecd6c1851c53d0668a5de7d18f45162951cc72348967003

Observation 4b6148f8-ce60-4fc0-ba67-be451ff9dd95 · inbound

Disjoint additivity and local quantum physics cites this paper.

Disjoint additivity and local quantum physics A unified view on symmetry, anomalous symmetry and non-invertible gravitational anomaly

Reference 60

Resolution
unresolved
no resolver link, observed 2026-08-05T10:57:40.749141Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-05T10:57:40.749141Z digest=sha256:c1faa86632418d4d718c83ab484f8abb540824a1d04c3b6de36b657415750505

Observation f302898b-c474-467c-9ca0-14ca633825e4 · inbound

Categorical Symmetries via Operator Algebras cites this paper.

Categorical Symmetries via Operator Algebras A unified view on symmetry, anomalous symmetry and non-invertible gravitational anomaly

Reference 10

Resolution
verified exact
arxiv_id, observed 2026-05-12T00:01:15.004523Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-05-07T15:56:04.295605Z digest=sha256:d82c16c4216b236088212d16308f98b58888b4c7e9399e3e8b81182a6df7313d

Observation a8858e09-b9d1-48cb-97c1-e189524517cc · 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 A unified view on symmetry, anomalous symmetry and non-invertible gravitational anomaly

Reference 12

Resolution
metadata mismatch
arxiv_id, observed 2026-05-15T02:53:33.670556Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-05-15T02:51:36.560672Z digest=sha256:f29f53b8205ef8a4eab063abcc8cbdb83b69b577ce23949ca04bea062bdb98f6

Observation ef6dd38e-8aad-47ad-a2b6-05124956ef5a · inbound

Algebras of order parameters in one-dimensional spin systems cites this paper.

Algebras of order parameters in one-dimensional spin systems A unified view on symmetry, anomalous symmetry and non-invertible gravitational anomaly

Reference 71

Resolution
verified exact
arxiv_id, observed 2026-07-01T16:25:49.551873Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=arxiv_source observed=2026-07-01T16:24:07.943937Z digest=sha256:27d076f07039528053332a95b0f1aa6ac9e3dad2da54d222b352470b700c39cb