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Paper Citation Record · LEDGER

Topological operators, noninvertible symmetries and decomposition

As of 13 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 8 inbound Pith citation observations for arXiv:2108.13423.

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

pith.paper-citation-record.v1
2108.13423 v3

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 2026-08-12T06:34:41.77262+00:00

measured 8 of 8 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-12T20:28:55.479766Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-07-02T13:57:00.346366Z

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 b889b2b2-8203-4cde-ba04-ab41a2dd4bb0 · 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 Topological operators, noninvertible symmetries and decomposition

Reference 45

Resolution
verified exact
arxiv_id, observed 2026-05-24T07:34:08.908522Z

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=2026-05-24T07:32:13.524274Z digest=sha256:bc1cb8a087acb1acd760de19ced3ce14238b0bb1525079738563f45b098a875b

Observation 820908c9-416a-415c-bddd-9ead3d0bc7c9 · inbound

Non-Invertible Anyon Condensation and Level-Rank Dualities cites this paper.

Non-Invertible Anyon Condensation and Level-Rank Dualities Topological operators, noninvertible symmetries and decomposition

Reference 84

Resolution
verified exact
arxiv_id, observed 2026-05-24T05:43:56.803158Z

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=2026-05-24T05:39:26.999565Z digest=sha256:3a78d1056d1d3cdddbec8d8e95c3f8b55e0c6fa6bcf7a3764b31850f2820462f

Observation 707296ed-fb2a-4f4a-adb7-cdd5ade4fd42 · inbound

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

The Higher Structure of Symmetries of Axion-Maxwell Theory Topological operators, noninvertible symmetries and decomposition

Reference 17

Resolution
unresolved
no resolver link, observed 2026-08-12T20:28:55.479766Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-12T20:28:55.479766Z digest=sha256:59d4b6f5e4703686b1e110cefcd46fd5c1a68d05b21fc01b2e2a66c32b099569

Observation bd8a16f0-02aa-4a32-b7df-1d53b0122edd · inbound

(-1)-form symmetries from M-theory and SymTFTs cites this paper.

(-1)-form symmetries from M-theory and SymTFTs Topological operators, noninvertible symmetries and decomposition

Reference 87

Resolution
unresolved
no resolver link, observed 2026-08-12T06:03:57.243339Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-12T06:03:57.243339Z digest=sha256:a11daf51b90d0699fe6e511c08481a6d931bcae3e5c9109d18772d0478809a1d

Observation d0f211f2-b615-499f-a515-39d07fd66de3 · inbound

SymTFT actions, Condensable algebras and Categorical anomaly resolutions cites this paper.

SymTFT actions, Condensable algebras and Categorical anomaly resolutions Topological operators, noninvertible symmetries and decomposition

Reference 54

Resolution
unresolved
no resolver link, observed 2026-08-05T05:32:59.865464Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-05T05:32:59.865464Z digest=sha256:8346558ade5835d081eadfd68332b43cf8721f89fd834e43632e240d9e230bd5

Observation fb87da1b-40ad-4d45-af54-e1b22ad44136 · inbound

From Baby Universes to Narain Moduli: Topological Boundary Averaging in SymTFTs cites this paper.

From Baby Universes to Narain Moduli: Topological Boundary Averaging in SymTFTs Topological operators, noninvertible symmetries and decomposition

Reference 253

Resolution
verified exact
arxiv_id, observed 2026-05-11T20:56:12.393846Z

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=arxiv_source observed=2026-05-08T07:40:29.165507Z digest=sha256:23737f670c92ea264ca907541996ae9cc1fea2392aa0661d6d22a1ede6933062

Observation a1895fef-bc5c-435e-a686-59b6e153ccf4 · inbound

Notes on (-2)-form symmetries cites this paper.

Notes on (-2)-form symmetries Topological operators, noninvertible symmetries and decomposition

Reference 30

Resolution
verified exact
arxiv_id, observed 2026-07-02T13:57:00.347925Z

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=2026-06-28T00:46:19.482598Z digest=sha256:7ae8122c262ded3971e1ba0a8a1ee920a02cd1b4502eff2d233740598ede8c16

Observation 1f2bb2a6-45d9-4de5-9e9e-c8421aa803e2 · inbound

Notes on (-2)-form symmetries cites this paper.

Notes on (-2)-form symmetries Topological operators, noninvertible symmetries and decomposition

Reference 30

Resolution
unresolved
no resolver link, observed 2026-08-02T12:26:59.917989Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-02T12:26:59.917989Z digest=sha256:43a9ae34849c90a757e1c31756520cb6398c685eadc21bc8c23c54c073ab2ea3