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Paper Citation Record · LEDGER

Centers of graded fusion categories

As of 9 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 6 inbound Pith citation observations for arXiv:0905.3117.

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

pith.paper-citation-record.v1
0905.3117 v1

Coverage vector

measured 0 of 0 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links

measured 6 of 6 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-08T06:32:00.761636+00:00

measured 6 of 6 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-08T22:46:25.968949Z

measured 0 of 1 external citation measurements

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

Source: pith, observed 2026-07-01T15:55:48.875961Z

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 3d8c59e1-f837-4cec-a3b4-af99818dc0df · inbound

Unitary Categorical Symmetries cites this paper.

Unitary Categorical Symmetries Centers of graded fusion categories

Reference 84

Resolution
unresolved
no resolver link, observed 2026-08-08T22:46:25.968949Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-08T22:46:25.968949Z digest=sha256:f5cb3e965ef9fa645013f8265d22ca0336f22a72bc4d1121d4877cf129312093

Observation 2b51f95e-bb2f-4656-9c78-c015840c7028 · inbound

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

Gauging Non-Invertible Symmetries in (2+1)d Topological Orders Centers of graded fusion categories

Reference 69

Resolution
unresolved
no resolver link, observed 2026-08-06T21:09:14.003901Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T21:09:14.003901Z digest=sha256:300e8fa5e46473858e1d1983fd5e62a2b61610b1661c0f1326f17da893fe1a08

Observation 0cd3588e-2c1e-43bb-a258-09ac0bb86a0b · inbound

SymTFT Approach for Mixed States with Non-Invertible Symmetries cites this paper.

SymTFT Approach for Mixed States with Non-Invertible Symmetries Centers of graded fusion categories

Reference 89

Resolution
unresolved
no resolver link, observed 2026-08-06T19:35:34.853368Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T19:35:34.853368Z digest=sha256:67ea56553c20e066101e2c6453853116b6f78d67f1f1742d0a43b91ec8debf3a

Observation acc22b8e-092a-486b-9496-020308d90fb4 · inbound

Non-invertible translation from Lieb-Schultz-Mattis anomaly cites this paper.

Non-invertible translation from Lieb-Schultz-Mattis anomaly Centers of graded fusion categories

Reference 63

Resolution
unresolved
no resolver link, observed 2026-08-03T07:02:22.523471Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T07:02:22.523471Z digest=sha256:336d74d8c556550f0b080445128ed4c45fb6644c5b24b8d9a25b9de9581d7195

Observation 1992671f-cab5-45c3-b62e-76a6e90a70ef · inbound

Spontaneous breaking of non-invertible symmetries and duality to beyond-Landau transitions cites this paper.

Spontaneous breaking of non-invertible symmetries and duality to beyond-Landau transitions Centers of graded fusion categories

Reference 79

Resolution
verified exact
local_arxiv, observed 2026-07-01T15:55:48.877053Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-07-01T15:54:25.827770Z digest=sha256:9d1808d20ca71358e6bacf1f764d99f8c0eedfa324d41147a1f0d38ba7699228

Observation c10adfc0-1502-4229-90a1-8b4154dc12e9 · inbound

Self-dual $S_3$ gauge theory in 2+1d: lattice model and topological phase transitions cites this paper.

Self-dual $S_3$ gauge theory in 2+1d: lattice model and topological phase transitions Centers of graded fusion categories

Reference 137

Resolution
unresolved
no resolver link, observed 2026-08-08T15:59:33.204855Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-08T15:59:33.204855Z digest=sha256:fe070ee7b41cd5e3b8a91b9b3eb8b476e5053df47369948cf255bc1069d9e7ad