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Paper Citation Record · LEDGER

Matrix formulation for non-Abelian families

As of 15 August 2026, this Paper Citation Record lists 20 of 20 outbound references and 1 inbound Pith citation observation for arXiv:1908.02599.

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

pith.paper-citation-record.v1
1908.02599 v1

Coverage vector

measured 20 of 20 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-14T14:55:46.287766Z

measured 21 of 21 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-14T06:32:32.682623+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-02T20:08:18.649120Z

measured 0 of 1 external citation measurements

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

Source: cited_works

Reference resolution

20 of 20 outbound references displayed

  • verified exact4
  • verified fuzzy1
  • unresolved13
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch2

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation cb900237-4169-46b7-b30b-fd96bdfce2cd · outbound

This paper cites an unresolved cited work.

Matrix formulation for non-Abelian families Unresolved cited work

Reference 1

Resolution
unresolved
no resolver link, observed 2026-08-14T14:55:46.204507Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-14T14:55:46.204507Z digest=sha256:981a37a8f3673f3a1b7c48141ad88d7ec5f7d46c563314f22ef362638578cd85

Observation ea946eb4-4e89-4adc-a4be-4174abc75157 · outbound

This paper cites an unresolved cited work.

Matrix formulation for non-Abelian families Unresolved cited work

Reference 2

Resolution
unresolved
no resolver link, observed 2026-08-14T14:55:46.209621Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-14T14:55:46.209621Z digest=sha256:33dcecd447071245c5dbbd3b20dfd5fdf22f7c82312f0600dd06e195b3c6b37e

Observation 428c1bd2-2be6-4c26-ad5f-6cf9ee1e0f2f · outbound

This paper cites an unresolved cited work.

Matrix formulation for non-Abelian families Unresolved cited work

Reference 3

Resolution
unresolved
no resolver link, observed 2026-08-14T14:55:46.213919Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-14T14:55:46.213919Z digest=sha256:84877890356ba6c1bf611d7fbc152f1bfae601094fbcb5d15905edafc0f3e23f

Observation fb2d3cc8-3946-4e1e-9f19-1a2ca34fe5cc · outbound

This paper cites Kitaev ,\ 10.1016/S0003-4916(02)00018-0 journal journal Annals of Physics \ volume 303 ,\ pages 2 ( year 2003 ) ,\ http://arxiv.org/abs/9707021 arXiv:9707021 [quant-ph] NoStop.

Matrix formulation for non-Abelian families Kitaev ,\ 10.1016/S0003-4916(02)00018-0 journal journal Annals of Physics \ volume 303 ,\ pages 2 ( year 2003 ) ,\ http://arxiv.org/abs/9707021 arXiv:9707021 [quant-ph] NoStop

Reference 4

Resolution
verified exact
raw_fallback, observed 2026-08-14T14:55:46.709141Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=arxiv_source observed=2026-08-14T14:55:46.218970Z digest=sha256:69cb2f3f6920d6eea10b10cd462c5d1ae67dfa487f927469f2cbf34e93ef89aa

Observation b058f0df-61c0-47dd-b77f-26f40bb2d3f7 · outbound

This paper cites an unresolved cited work.

Matrix formulation for non-Abelian families Unresolved cited work

Reference 5

Resolution
verified exact
raw_fallback, observed 2026-08-14T14:55:46.630907Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=arxiv_source observed=2026-08-14T14:55:46.223070Z digest=sha256:eac2d42b01be6cefb795159c755a46bbd959e6ece6623b1a112eaf53793c2a90

Observation a3f35d0f-940e-4dd4-a237-ba17a285f28c · outbound

This paper cites Hierarchy construction and non-Abelian families of generic topological orders.

Matrix formulation for non-Abelian families Hierarchy construction and non-Abelian families of generic topological orders

Reference 6

Resolution
metadata mismatch
local_arxiv, observed 2026-08-14T14:55:46.563085Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=arxiv_source observed=2026-08-14T14:55:46.227325Z digest=sha256:5a6eecb400008ce03de8395f6256b0469ca61eae15b38f9f32fcf1b23dfcea3d

Observation cca363b4-928e-40f2-8a24-b61edea2ba64 · outbound

This paper cites an unresolved cited work.

Matrix formulation for non-Abelian families Unresolved cited work

Reference 7

Resolution
unresolved
no resolver link, observed 2026-08-14T14:55:46.232022Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-14T14:55:46.232022Z digest=sha256:9bd1f5c9c4e6a0de97f468efe9d40dd1acdbcac63bdf6c5d745f1609a675c41f

Observation dae1ade4-993c-4799-bebc-d92a5f8d0f6a · outbound

This paper cites an unresolved cited work.

Matrix formulation for non-Abelian families Unresolved cited work

Reference 8

Resolution
unresolved
no resolver link, observed 2026-08-14T14:55:46.236222Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-14T14:55:46.236222Z digest=sha256:beb25b84d0d2c2a0d359f6fc41517683310d8fd189980e696a878179426a4614

Observation f4373c9d-2ce3-42a3-a64f-e313ceba0884 · outbound

This paper cites an unresolved cited work.

Matrix formulation for non-Abelian families Unresolved cited work

Reference 9

Resolution
unresolved
no resolver link, observed 2026-08-14T14:55:46.240520Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-14T14:55:46.240520Z digest=sha256:d760f5759838c07341e63a29c5a385c7541e90e2ada4a4fad771adcea34320da

Observation 162bf025-dfe0-423c-8d99-9ab6591ce9ef · outbound

This paper cites an unresolved cited work.

Matrix formulation for non-Abelian families Unresolved cited work

Reference 10

Resolution
unresolved
no resolver link, observed 2026-08-14T14:55:46.245271Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-14T14:55:46.245271Z digest=sha256:fd21839dd3c048743d264ef19a3148be5b6ea2e68994901c68130e0ea1ea32a8

Observation 46ed9fa4-01ba-4bf7-add4-a6e9d4fa32bf · outbound

This paper cites Lan ,\ title A Classification of (2+1)D Topological Phases with Symmetries ,\ https://uwspace.uwaterloo.ca/handle/10012/12389 Ph.D.

Matrix formulation for non-Abelian families Lan ,\ title A Classification of (2+1)D Topological Phases with Symmetries ,\ https://uwspace.uwaterloo.ca/handle/10012/12389 Ph.D

Reference 11

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:55:46.722985Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=arxiv_source observed=2026-08-14T14:55:46.248985Z digest=sha256:3aa8b7b5044927e9cbc9b296c85f39ae04ad5eb3df473a22256ec63777019b07

Observation a64e29ab-acca-48b2-81bf-0c7984a19dd1 · outbound

This paper cites an unresolved cited work.

Matrix formulation for non-Abelian families Unresolved cited work

Reference 12

Resolution
verified exact
raw_fallback, observed 2026-08-14T14:55:46.546017Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=arxiv_source observed=2026-08-14T14:55:46.254055Z digest=sha256:20d7527a2350e685a6b8bb4c7dd2fcc1b172ff8096ec7f1b709fbc8ccb2dc397

Observation 136ddef6-8504-4a2c-9b54-0010cfe412b8 · outbound

This paper cites Anyon condensation and tensor categories.

Matrix formulation for non-Abelian families Anyon condensation and tensor categories

Reference 13

Resolution
unresolved
no resolver link, observed 2026-08-14T14:55:46.257922Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-14T14:55:46.257922Z digest=sha256:09022e6623c6b3241e7074781433c6404c357a2fdf81c4e880b3d4ffbc835afa

Observation 807c6b6f-2c66-4777-9a84-63c715a30763 · outbound

This paper cites The Witt group of non-degenerate braided fusion categories.

Matrix formulation for non-Abelian families The Witt group of non-degenerate braided fusion categories

Reference 14

Resolution
unresolved
no resolver link, observed 2026-08-14T14:55:46.262104Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-14T14:55:46.262104Z digest=sha256:fadd82b96b9084c134e99711452e02af6000572b8bb5474867d1b8546f1f7515

Observation 03a7f1a5-3abb-4673-979b-2dc7a6e8ed3b · outbound

This paper cites Symmetry Fractionalization, Defects, and Gauging of Topological Phases.

Matrix formulation for non-Abelian families Symmetry Fractionalization, Defects, and Gauging of Topological Phases

Reference 15

Resolution
unresolved
no resolver link, observed 2026-08-14T14:55:46.266089Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-14T14:55:46.266089Z digest=sha256:8f4ca9b2eacd71b7ecbfe3466b5abf0b43459378b95d810039453918f35c10a1

Observation a1f0dcee-5656-43bf-a23c-ea64e4b58a36 · outbound

This paper cites A theory of 2+1D bosonic topological orders.

Matrix formulation for non-Abelian families A theory of 2+1D bosonic topological orders

Reference 16

Resolution
metadata mismatch
local_arxiv, observed 2026-08-14T14:55:46.436466Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=arxiv_source observed=2026-08-14T14:55:46.270079Z digest=sha256:3bf720b76e76b35b34509c0bbcf47ba0d9d12acd22856cc14bee870887d76f65

Observation 523c80cd-d7cb-4b72-879e-8e69527b2a79 · outbound

This paper cites A theory of 2+1D fermionic topological orders and fermionic/bosonic topological orders with symmetries.

Matrix formulation for non-Abelian families A theory of 2+1D fermionic topological orders and fermionic/bosonic topological orders with symmetries

Reference 17

Resolution
verified exact
local_arxiv, observed 2026-08-14T14:55:46.417899Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=arxiv_source observed=2026-08-14T14:55:46.274289Z digest=sha256:95a4535834038e53ba73f3446888b65a42ccaff0d29146a13d5d81127599ccfd

Observation adda80a9-10e6-4b21-8249-ca62265badd7 · outbound

This paper cites Modular extensions of unitary braided fusion categories and 2+1D topological/SPT orders with symmetries.

Matrix formulation for non-Abelian families Modular extensions of unitary braided fusion categories and 2+1D topological/SPT orders with symmetries

Reference 18

Resolution
unresolved
no resolver link, observed 2026-08-14T14:55:46.278712Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-14T14:55:46.278712Z digest=sha256:d9ede48482312203fc1107973cd7211c2d30639e83c594d7f3efa781fb665184

Observation 972a6fd3-075e-4df4-a927-10aad777efec · outbound

This paper cites Classification of 2+1D topological orders and SPT orders for bosonic and fermionic systems with on-site symmetries.

Matrix formulation for non-Abelian families Classification of 2+1D topological orders and SPT orders for bosonic and fermionic systems with on-site symmetries

Reference 19

Resolution
unresolved
no resolver link, observed 2026-08-14T14:55:46.283413Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-14T14:55:46.283413Z digest=sha256:877254c5a57068c10b8195045f72ae18609debf3420389f326870d25f0ce6246

Observation 236c6c9a-ddef-480e-bc81-b7f127e798ea · outbound

This paper cites On classification of modular tensor categories.

Matrix formulation for non-Abelian families On classification of modular tensor categories

Reference 20

Resolution
unresolved
no resolver link, observed 2026-08-14T14:55:46.287766Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-14T14:55:46.287766Z digest=sha256:9ceef0a5a46efc97be4ce7b0bf97359e41dd9e92fdb12d8d33e46a9a8a44ffca

Pith citing papers

Observation 53c4291c-be59-4c92-a711-24d1105ee556 · inbound

Proliferation transitions from a topological phase in $2+1$ dimensions cites this paper.

Proliferation transitions from a topological phase in $2+1$ dimensions Matrix formulation for non-Abelian families

Reference 33

Resolution
unresolved
no resolver link, observed 2026-08-02T20:08:18.649120Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-02T20:08:18.649120Z digest=sha256:073bb3bf2d48f4ba3e14c2cb8a39043b42df15fe6fb0f2ed022fd16075b7e4fc