Paper Citation Record · LEDGER

Exact Nonnegative Matrix Factorization via Cone-Ray Witnesses: Certificates, a One-Sided Solver, and a Findability Phase Transition

As of 12 August 2026, this Paper Citation Record lists 19 of 19 outbound references and 2 inbound Pith citation observations for arXiv:2606.22451.

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

pith.paper-citation-record.v1
2606.22451 v2

Coverage vector

measured 19 of 19 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-02T10:41:43.945603Z

measured 21 of 21 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-11T06:34:44.6726+00:00

measured 2 of 2 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-07-14T17:21:13.397738Z

measured 0 of 1 external citation measurements

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

Source: pith, observed 2026-07-04T20:20:06.435575Z

Reference resolution

19 of 19 outbound references displayed

verified exact0
verified fuzzy0
unresolved19
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation e60d6e51-54da-4523-8a08-eff149bccd85 · outbound

This paper cites an unresolved cited work.

Exact Nonnegative Matrix Factorization via Cone-Ray Witnesses: Certificates, a One-Sided Solver, and a Findability Phase Transition Unresolved cited work

Reference 1

Resolution: unresolved; no resolver link, observed 2026-08-02T10:41:41.824022Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 87456a09-8b76-48da-a506-a1b52c325bcf · outbound

This paper cites Arora, R.

Exact Nonnegative Matrix Factorization via Cone-Ray Witnesses: Certificates, a One-Sided Solver, and a Findability Phase Transition Arora, R

Reference 2

Resolution: unresolved; no resolver link, observed 2026-08-02T10:41:41.871667Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 1fc8417f-afd5-46bd-ad98-65bf9cbaea8e · outbound

This paper cites Bardet, J.-C.

Exact Nonnegative Matrix Factorization via Cone-Ray Witnesses: Certificates, a One-Sided Solver, and a Findability Phase Transition Bardet, J.-C

Reference 3

Resolution: unresolved; no resolver link, observed 2026-08-02T10:41:41.991458Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 63d817fe-ced1-435b-a733-0f3139e201b5 · outbound

This paper cites an unresolved cited work.

Exact Nonnegative Matrix Factorization via Cone-Ray Witnesses: Certificates, a One-Sided Solver, and a Findability Phase Transition Unresolved cited work

Reference 4

Resolution: unresolved; no resolver link, observed 2026-08-02T10:41:42.087025Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 87d5ec38-a2d6-417c-8a26-57cb0eec5059 · outbound

This paper cites Cichocki, R.

Exact Nonnegative Matrix Factorization via Cone-Ray Witnesses: Certificates, a One-Sided Solver, and a Findability Phase Transition Cichocki, R

Reference 5

Resolution: unresolved; no resolver link, observed 2026-08-02T10:41:42.204474Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation f9bc3cc3-6435-4420-844b-d381dd9224a1 · outbound

This paper cites an unresolved cited work.

Exact Nonnegative Matrix Factorization via Cone-Ray Witnesses: Certificates, a One-Sided Solver, and a Findability Phase Transition Unresolved cited work

Reference 6

Resolution: unresolved; no resolver link, observed 2026-08-02T10:41:42.288472Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 99379c07-9b55-4c38-a7d5-c89f1b688ad9 · outbound

This paper cites DonohoandV.

Exact Nonnegative Matrix Factorization via Cone-Ray Witnesses: Certificates, a One-Sided Solver, and a Findability Phase Transition DonohoandV

Reference 7

Resolution: unresolved; no resolver link, observed 2026-08-02T10:41:42.439441Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation ebd1157f-036f-4872-89ba-cbcc6f64cac9 · outbound

This paper cites FukudaandA.

Exact Nonnegative Matrix Factorization via Cone-Ray Witnesses: Certificates, a One-Sided Solver, and a Findability Phase Transition FukudaandA

Reference 8

Resolution: unresolved; no resolver link, observed 2026-08-02T10:41:42.540891Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 50397cf2-44a6-481d-8b27-10e2b75f58d0 · outbound

This paper cites GillisandS.

Exact Nonnegative Matrix Factorization via Cone-Ray Witnesses: Certificates, a One-Sided Solver, and a Findability Phase Transition GillisandS

Reference 9

Resolution: unresolved; no resolver link, observed 2026-08-02T10:41:42.653607Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation b15d745d-52db-4633-bc54-41b1d4e1e3c1 · outbound

This paper cites an unresolved cited work.

Exact Nonnegative Matrix Factorization via Cone-Ray Witnesses: Certificates, a One-Sided Solver, and a Findability Phase Transition Unresolved cited work

Reference 10

Resolution: unresolved; no resolver link, observed 2026-08-02T10:41:42.802008Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 22981679-505d-41d7-a21b-9c370638eb65 · outbound

This paper cites Kubjas, E.

Exact Nonnegative Matrix Factorization via Cone-Ray Witnesses: Certificates, a One-Sided Solver, and a Findability Phase Transition Kubjas, E

Reference 11

Resolution: unresolved; no resolver link, observed 2026-08-02T10:41:42.950312Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 34e26ae9-0aeb-428a-a9c6-2592586cdc65 · outbound

This paper cites an unresolved cited work.

Exact Nonnegative Matrix Factorization via Cone-Ray Witnesses: Certificates, a One-Sided Solver, and a Findability Phase Transition Unresolved cited work

Reference 12

Resolution: unresolved; no resolver link, observed 2026-08-02T10:41:43.048562Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 75c0f802-c46c-49d9-a9cf-14f4a1c59626 · outbound

This paper cites an unresolved cited work.

Exact Nonnegative Matrix Factorization via Cone-Ray Witnesses: Certificates, a One-Sided Solver, and a Findability Phase Transition Unresolved cited work

Reference 13

Resolution: unresolved; no resolver link, observed 2026-08-02T10:41:43.191549Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation e1abafbf-5760-4ede-8053-cff5938de920 · outbound

This paper cites an unresolved cited work.

Exact Nonnegative Matrix Factorization via Cone-Ray Witnesses: Certificates, a One-Sided Solver, and a Findability Phase Transition Unresolved cited work

Reference 14

Resolution: unresolved; no resolver link, observed 2026-08-02T10:41:43.329759Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 68489dc7-6d1d-48e1-a1aa-0f53b6aa3026 · outbound

This paper cites an unresolved cited work.

Exact Nonnegative Matrix Factorization via Cone-Ray Witnesses: Certificates, a One-Sided Solver, and a Findability Phase Transition Unresolved cited work

Reference 15

Resolution: unresolved; no resolver link, observed 2026-08-02T10:41:43.458401Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation ca4c784c-4a3c-4277-99b8-35fef786d23b · outbound

This paper cites an unresolved cited work.

Exact Nonnegative Matrix Factorization via Cone-Ray Witnesses: Certificates, a One-Sided Solver, and a Findability Phase Transition Unresolved cited work

Reference 16

Resolution: unresolved; no resolver link, observed 2026-08-02T10:41:43.573639Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 4094e9ae-cbbe-46e9-985c-81b38e47d320 · outbound

This paper cites Pedregosaet al.,Scikit-learn: Machine learning in Python, Journal of Machine Learning Research, 12 (2011), pp.

Exact Nonnegative Matrix Factorization via Cone-Ray Witnesses: Certificates, a One-Sided Solver, and a Findability Phase Transition Pedregosaet al.,Scikit-learn: Machine learning in Python, Journal of Machine Learning Research, 12 (2011), pp

Reference 17

Resolution: unresolved; no resolver link, observed 2026-08-02T10:41:43.670925Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation f1a3205f-e81c-4145-9db6-0991558e31df · outbound

This paper cites Recht, C.

Exact Nonnegative Matrix Factorization via Cone-Ray Witnesses: Certificates, a One-Sided Solver, and a Findability Phase Transition Recht, C

Reference 18

Resolution: unresolved; no resolver link, observed 2026-08-02T10:41:43.790806Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation a7516f89-037d-4338-8537-aff103617f0e · outbound

This paper cites an unresolved cited work.

Exact Nonnegative Matrix Factorization via Cone-Ray Witnesses: Certificates, a One-Sided Solver, and a Findability Phase Transition Unresolved cited work

Reference 19

Resolution: unresolved; no resolver link, observed 2026-08-02T10:41:43.945603Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Pith citing papers

Observation 4946b8e6-8fbb-488c-b044-d2f4a7b8d506 · inbound

Gap-Aware Exact Nonnegative Matrix Factorization: A Two-Sided SVD Gauge and a Three-Regime W-Rank Taxonomy cites this paper.

Gap-Aware Exact Nonnegative Matrix Factorization: A Two-Sided SVD Gauge and a Three-Regime W-Rank Taxonomy Exact Nonnegative Matrix Factorization via Cone-Ray Witnesses: Certificates, a One-Sided Solver, and a Findability Phase Transition

Reference 1

Resolution: verified exact; local_arxiv, observed 2026-07-04T20:20:06.441856Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 7d0b1375-6b9b-4c76-93d0-cf08869a52cf · inbound

Gap-Aware Exact Nonnegative Matrix Factorization: A Two-Sided SVD Gauge and a Three-Regime W-Rank Taxonomy cites this paper.

Reference 1

Resolution: unresolved; no resolver link, observed 2026-07-14T17:21:13.397738Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.