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Paper Citation Record · LEDGER

On almost commuting unitary matrices

As of 9 August 2026, this Paper Citation Record lists 28 of 28 outbound references and 1 inbound Pith citation observation for arXiv:2510.03674.

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

pith.paper-citation-record.v1
2510.03674 v3

Coverage vector

measured 28 of 28 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-04T11:57:48.314882Z

measured 29 of 29 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-09T06:31:02.800959+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-01T17:39:49.596043Z

measured 0 of 1 external citation measurements

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

Source: cited_works

Reference resolution

28 of 28 outbound references displayed

  • verified exact0
  • verified fuzzy0
  • unresolved28
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation e70c9978-e0d6-451b-afd0-9deb39adbca7 · outbound

This paper cites an unresolved cited work.

On almost commuting unitary matrices Unresolved cited work

Reference 1

Resolution
unresolved
no resolver link, observed 2026-08-04T11:57:46.539289Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-04T11:57:46.539289Z digest=sha256:b608d27b278cefc67f6200185944b3e11e372b8abd4e57e074cc3c37347dd9e0

Observation 672a9e54-73eb-4a76-a301-f9b7b8026d35 · outbound

This paper cites an unresolved cited work.

On almost commuting unitary matrices Unresolved cited work

Reference 2

Resolution
unresolved
no resolver link, observed 2026-08-04T11:57:46.603680Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-04T11:57:46.603680Z digest=sha256:46422c5bfe8d36676446ff7c1549a02a473a1520712d9e487db709460f35f50a

Observation 8f84f251-6388-4672-b7dd-24667527ed18 · outbound

This paper cites 4 (2012), p.

On almost commuting unitary matrices 4 (2012), p

Reference 3

Resolution
unresolved
no resolver link, observed 2026-08-04T11:57:46.619246Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-04T11:57:46.619246Z digest=sha256:204ae4f67f898ef55bb7398cbbc736121a30fe962ff426292be3cecd40b1e608

Observation 7ab4f94f-567f-42d3-aaae-be14da5ee52e · outbound

This paper cites an unresolved cited work.

On almost commuting unitary matrices Unresolved cited work

Reference 4

Resolution
unresolved
no resolver link, observed 2026-08-04T11:57:46.717066Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-04T11:57:46.717066Z digest=sha256:b0ba59f31911b8d0344bfa91f6dfc36abc0cd5d1f6495494a475b6c0946a299a

Observation 61d165a4-9d93-4fe2-bdba-4f73c450954f · outbound

This paper cites an unresolved cited work.

On almost commuting unitary matrices Unresolved cited work

Reference 5

Resolution
unresolved
no resolver link, observed 2026-08-04T11:57:46.780209Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-04T11:57:46.780209Z digest=sha256:1b7d1c199f6baa680e6e8a0c13a18b0bb2864ef71693fa180c66464f55fcc4db

Observation 2e64999f-c2e1-4ee8-83e6-1ae92eda8884 · outbound

This paper cites an unresolved cited work.

On almost commuting unitary matrices Unresolved cited work

Reference 6

Resolution
unresolved
no resolver link, observed 2026-08-04T11:57:46.825184Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-04T11:57:46.825184Z digest=sha256:3cd6686fe5f7ae52c2ed505f642132ed0146932c786fd85488bf489e23c9a5ba

Observation 24ca4bb2-3975-4e3f-99e0-1f82f8b11933 · outbound

This paper cites an unresolved cited work.

On almost commuting unitary matrices Unresolved cited work

Reference 7

Resolution
unresolved
no resolver link, observed 2026-08-04T11:57:46.889550Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-04T11:57:46.889550Z digest=sha256:b0bc87e562d3cec41adf3236a8f75ed34e697d0c40bb7030939a5b1b4c68ca4f

Observation 3a4adfdd-4e69-4a79-ad43-165504a38699 · outbound

This paper cites I, 317–366.

On almost commuting unitary matrices I, 317–366

Reference 8

Resolution
unresolved
no resolver link, observed 2026-08-04T11:57:46.958311Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-04T11:57:46.958311Z digest=sha256:811502051e6ffbf64502cf5df7c0de4a6c2761980ad031f76214da59fce3f4f3

Observation 57c0974a-ae7f-4999-82d1-36959ce4d94b · outbound

This paper cites 46, Conference Board of Mathematical Sciences, Washington, DC, 1981.

On almost commuting unitary matrices 46, Conference Board of Mathematical Sciences, Washington, DC, 1981

Reference 9

Resolution
unresolved
no resolver link, observed 2026-08-04T11:57:47.058319Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-04T11:57:47.058319Z digest=sha256:4fbd30d9ab3fea4e5fd87ce9332f70c951d7499112a5f5b79fb80144a81d4d41

Observation 19b689ad-5af6-4126-a212-4f8d345618c6 · outbound

This paper cites an unresolved cited work.

On almost commuting unitary matrices Unresolved cited work

Reference 10

Resolution
unresolved
no resolver link, observed 2026-08-04T11:57:47.098278Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-04T11:57:47.098278Z digest=sha256:404b5ddf48acb6030157020394090a442fff728d2f8be86a64e2f44ac5c389df

Observation 4d479bd7-c9f9-43c3-adc4-f5fce3fcb96f · outbound

This paper cites an unresolved cited work.

On almost commuting unitary matrices Unresolved cited work

Reference 11

Resolution
unresolved
no resolver link, observed 2026-08-04T11:57:47.168750Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-04T11:57:47.168750Z digest=sha256:5b35df735db1cc386a6ba9165c2b66bae226c8cdbf6b8580636c3e1453237a94

Observation be7ba4d7-c954-4611-a764-d22896a9dc6a · outbound

This paper cites an unresolved cited work.

On almost commuting unitary matrices Unresolved cited work

Reference 12

Resolution
unresolved
no resolver link, observed 2026-08-04T11:57:47.238720Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-04T11:57:47.238720Z digest=sha256:75bf261463236e287c92b4a01e806bc5daeaaecd4221285c7691264224482f6e

Observation 7353f94c-778f-4931-b007-4585c2fc8c0c · outbound

This paper cites Reine Angew.

On almost commuting unitary matrices Reine Angew

Reference 13

Resolution
unresolved
no resolver link, observed 2026-08-04T11:57:47.264949Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-04T11:57:47.264949Z digest=sha256:fc826eba67ff97c48c21e708db21fa345270fd0c2de73d3b1eab18b5c501d18c

Observation ec4af92f-3f41-4643-86d4-f48d91bd68ea · outbound

This paper cites an unresolved cited work.

On almost commuting unitary matrices Unresolved cited work

Reference 14

Resolution
unresolved
no resolver link, observed 2026-08-04T11:57:47.324615Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-04T11:57:47.324615Z digest=sha256:9dcd4a26c1a0d885b12289c2998a5cf4757a552450225f80e5138b87e23b6fdf

Observation 23c7a8ef-d219-4a74-b6a5-57f534c8e4b4 · outbound

This paper cites Operator Theory 40 (1998), no.

On almost commuting unitary matrices Operator Theory 40 (1998), no

Reference 15

Resolution
unresolved
no resolver link, observed 2026-08-04T11:57:47.480736Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-04T11:57:47.480736Z digest=sha256:da318db2186d2c5a30c0d0aea7ca312b866bd1c46ac997ba84c33a28fc24925c

Observation 5e65bf32-ec40-4484-99ea-73779fb05e28 · outbound

This paper cites R.,Some unsolved problems of unknown depth about operators in Hilbert space, Proc.

On almost commuting unitary matrices R.,Some unsolved problems of unknown depth about operators in Hilbert space, Proc

Reference 16

Resolution
unresolved
no resolver link, observed 2026-08-04T11:57:47.548770Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-04T11:57:47.548770Z digest=sha256:b118c1495a5ae349755d1ed3815ed4d6f6db08623b2f1cc85e6e6b37c5f1e36a

Observation 3e095f11-f4e4-47b9-b138-d0ba73a1f792 · outbound

This paper cites an unresolved cited work.

On almost commuting unitary matrices Unresolved cited work

Reference 17

Resolution
unresolved
no resolver link, observed 2026-08-04T11:57:47.681568Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-04T11:57:47.681568Z digest=sha256:e44300d3b2976cc7eb1f7e527bebd4fa1d8537df2527197855128331ff043e81

Observation 121a6471-a7c1-44bb-8904-4f1e503629f8 · outbound

This paper cites an unresolved cited work.

On almost commuting unitary matrices Unresolved cited work

Reference 18

Resolution
unresolved
no resolver link, observed 2026-08-04T11:57:47.725909Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-04T11:57:47.725909Z digest=sha256:e8e6aecfa58b5a9a88d06ac6b353355b883bc955b164acfdc3fe1d46673d4929

Observation 1cdffe8f-aec6-465c-9e80-bd48ebca813f · outbound

This paper cites On Hastings' approach to Lin's Theorem for Almost Commuting Matrices.

On almost commuting unitary matrices On Hastings' approach to Lin's Theorem for Almost Commuting Matrices

Reference 19

Resolution
unresolved
no resolver link, observed 2026-08-04T11:57:47.782438Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-04T11:57:47.782438Z digest=sha256:03ff4b24e521b35cf02dd9efa0f95585a00c6fff692e37d66028ecaeab7992cd

Observation b5718440-c614-4da7-8a51-0d75a92c96b6 · outbound

This paper cites 32, Springer, 1995.

On almost commuting unitary matrices 32, Springer, 1995

Reference 20

Resolution
unresolved
no resolver link, observed 2026-08-04T11:57:47.889526Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-04T11:57:47.889526Z digest=sha256:88f0076e54a2fe0415d366653ec63432f23e9909954507dc416f7cb38267e34b

Observation 99818e3c-92db-40cb-90e1-b3bd2c179915 · outbound

This paper cites an unresolved cited work.

On almost commuting unitary matrices Unresolved cited work

Reference 21

Resolution
unresolved
no resolver link, observed 2026-08-04T11:57:47.978874Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-04T11:57:47.978874Z digest=sha256:8c9dba8c363c84a4e5f3d5730f1169097adb7f702df06c2fb1c3e5239ba183e1

Observation e28d7005-7c8e-4bab-ade6-eae578230c12 · outbound

This paper cites Operator Algebras and Their Applications.

On almost commuting unitary matrices Operator Algebras and Their Applications

Reference 22

Resolution
unresolved
no resolver link, observed 2026-08-04T11:57:48.038055Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-04T11:57:48.038055Z digest=sha256:72d3797924afedf32e250f4ef9e518d91dbdb1f50291218f56cb6cb50a048c9b

Observation 3425d850-948f-4835-a869-d66716c263ab · outbound

This paper cites an unresolved cited work.

On almost commuting unitary matrices Unresolved cited work

Reference 23

Resolution
unresolved
no resolver link, observed 2026-08-04T11:57:48.135590Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-04T11:57:48.135590Z digest=sha256:ae6e6ebba3a6fbebe25c1a44d99944d1497d4079e942fc139ccbc56622096fb3

Observation df9d2ffc-2548-4c1a-adf2-3971cb06e496 · outbound

This paper cites an unresolved cited work.

On almost commuting unitary matrices Unresolved cited work

Reference 24

Resolution
unresolved
no resolver link, observed 2026-08-04T11:57:48.153646Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-04T11:57:48.153646Z digest=sha256:cec0541f172309bbb7f60e3f5bf39849f540cddfef03be19700fc41ea8c242e1

Observation 616564f5-c0c8-48df-8991-6aea155b6593 · outbound

This paper cites an unresolved cited work.

On almost commuting unitary matrices Unresolved cited work

Reference 25

Resolution
unresolved
no resolver link, observed 2026-08-04T11:57:48.204611Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-04T11:57:48.204611Z digest=sha256:44b6fe7a04cab71d3a1b89a3a96d96a8d76a7237ce4595eed9fbdb34a8466480

Observation 5050cb88-6407-4c47-81e5-f18681994ee1 · outbound

This paper cites an unresolved cited work.

On almost commuting unitary matrices Unresolved cited work

Reference 26

Resolution
unresolved
no resolver link, observed 2026-08-04T11:57:48.257657Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-04T11:57:48.257657Z digest=sha256:79d4792d6d12470202b80cf72b72e3a974a15d5e1aa760264107c6093743d0fd

Observation 769ff213-45eb-4ef9-a060-56c9d311d5ce · outbound

This paper cites Real rank of some multiplier algebras.

On almost commuting unitary matrices Real rank of some multiplier algebras

Reference 27

Resolution
unresolved
no resolver link, observed 2026-08-04T11:57:48.262862Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-04T11:57:48.262862Z digest=sha256:132cf135f8a5eb28e043e73b58d14bd693562e08215a857e7d39066a74faeb58

Observation 7f0ece0d-6c58-4170-a050-a410175ddd3d · outbound

This paper cites an unresolved cited work.

On almost commuting unitary matrices Unresolved cited work

Reference 28

Resolution
unresolved
no resolver link, observed 2026-08-04T11:57:48.314882Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-04T11:57:48.314882Z digest=sha256:7df2553f91285b2a09fce789161128e05ca3767dc28fcb3d61b96466aafbe642

Pith citing papers

Observation cac67eb2-e8fb-4c09-a0ce-86480fac52ea · inbound

$\mathbb{Z}^2$ is flexibly stable in the operator norm cites this paper.

$\mathbb{Z}^2$ is flexibly stable in the operator norm On almost commuting unitary matrices

Reference 7

Resolution
unresolved
no resolver link, observed 2026-08-01T17:39:49.596043Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-01T17:39:49.596043Z digest=sha256:38eed6f83023b5c767e895c15e8e8af144e78f3a37f9479514ec348008e8d7d1