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Paper Citation Record · LEDGER

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

As of 21 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 11 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 11 of 11 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-21T06:32:19.484+00:00

measured 11 of 11 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-14T04:36:05.435332Z

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

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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 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-05-24T08:56:32.050768Z digest=sha256:0e18cce00027c0cf0668582f14666ad101218dd1a44b69437aac2195e1deb78e

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 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-05-24T07:32:13.524274Z digest=sha256:4778133e8c6008921bb5e326a5c5661c5017a6484b6c3c3a941f7846b834f10b

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 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-05-23T22:02:57.740404Z digest=sha256:db5c3335c522e920e0762c0bf3d74d910820cfe061767c4fd44f8355b02f4a7c

Observation 4c84fdf5-4795-41bc-b3e8-d8a4fbd29f61 · inbound

Tube Category, Tensor Renormalization and Topological Holography cites this paper.

Tube Category, Tensor Renormalization and Topological Holography A unified view on symmetry, anomalous symmetry and non-invertible gravitational anomaly

Reference 20

Resolution
unresolved
no resolver link, observed 2026-08-11T19:09:11.640021Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-11T19:09:11.640021Z digest=sha256:ed5adc0cda782a11ea8de98a413d3fc281e66b1a2288db6886496d3fdeb9bad9

Observation a5df4c58-1ff1-452c-8909-d04861064a31 · inbound

SymSETs and self-dualities under gauging non-invertible symmetries cites this paper.

SymSETs and self-dualities under gauging non-invertible symmetries A unified view on symmetry, anomalous symmetry and non-invertible gravitational anomaly

Reference 50

Resolution
unresolved
no resolver link, observed 2026-08-10T20:40:50.102806Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-10T20:40:50.102806Z digest=sha256:f4e230aeececf5cec25de24d3892aaa5bbabd8df0f2aa0345a674c11cb8c9fd5

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=sha256:2b8405d5d96b34b2b37771f80d0bb701609ed19cf2ba180c09192050a6a717e8

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:b866b482e4787b94b10a175d6bc427a5e0230afe6c51776a7340524d9ef8e040

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 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-05-07T15:56:04.295605Z digest=sha256:8196bee28025a5f34c73d97b65534956bae748b07d7cd02b20ef15c8314bef3f

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 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-05-15T02:51:36.560672Z digest=sha256:d6751057d3828f36cc9995e2157f18dc1c81539a463cb322d0ca7be1909163c3

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 2026-08-21T06:32:19.484+00:00.

source=arxiv_source observed=2026-07-01T16:24:07.943937Z digest=sha256:c58660615e0499210d4d78caa5282c5f3b94148e36ffbefaa8e5b9db0baaf20e

Observation 1a7cfd11-48a9-42c7-bce2-ad5d4cdcee0a · 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 A unified view on symmetry, anomalous symmetry and non-invertible gravitational anomaly

Reference 125

Resolution
unresolved
no resolver link, observed 2026-08-14T04:36:05.435332Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-14T04:36:05.435332Z digest=sha256:4c6c767bb6b91442fd2f84b2e85135bf0207b3927cef26e351e22164d9d973ce