Paper Citation Record · LEDGER

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

As of 11 August 2026, this Paper Citation Record lists 15 of 15 outbound references and 0 inbound Pith citation observations for arXiv:2606.25715.

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

pith.paper-citation-record.v1
2606.25715 v2

Coverage vector

measured 15 of 15 reference resolution

Typed states for the displayed outbound observations.

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

measured 15 of 15 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 0 of 0 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links

measured 0 of 1 external citation measurements

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

Source: cited_works

Reference resolution

15 of 15 outbound references displayed

verified exact0
verified fuzzy0
unresolved15
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

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

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

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

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation a490e998-cbdb-4efa-9a2c-52f48a22f3b0 · outbound

This paper cites an unresolved cited work.

Gap-Aware Exact Nonnegative Matrix Factorization: A Two-Sided SVD Gauge and a Three-Regime W-Rank Taxonomy Unresolved cited work

Reference 2

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

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 34a46ea7-f0f0-41ee-8733-55517688bfd0 · outbound

This paper cites an unresolved cited work.

Gap-Aware Exact Nonnegative Matrix Factorization: A Two-Sided SVD Gauge and a Three-Regime W-Rank Taxonomy Unresolved cited work

Reference 3

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

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 5caaf87c-d335-411c-9232-041787088185 · outbound

This paper cites Hrubˇ eˇ s,On the nonnegative rank of distance matrices, Inform.

Gap-Aware Exact Nonnegative Matrix Factorization: A Two-Sided SVD Gauge and a Three-Regime W-Rank Taxonomy Hrubˇ eˇ s,On the nonnegative rank of distance matrices, Inform

Reference 4

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

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 56b745c0-7802-4fb4-a2c8-1804ab483611 · outbound

This paper cites an unresolved cited work.

Gap-Aware Exact Nonnegative Matrix Factorization: A Two-Sided SVD Gauge and a Three-Regime W-Rank Taxonomy Unresolved cited work

Reference 5

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

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 8ea55144-7b38-4fdc-a53a-f5f96c6612ab · outbound

This paper cites Yannakakis,Expressing combinatorial optimization problems by linear programs, J.

Gap-Aware Exact Nonnegative Matrix Factorization: A Two-Sided SVD Gauge and a Three-Regime W-Rank Taxonomy Yannakakis,Expressing combinatorial optimization problems by linear programs, J

Reference 6

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

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 537fe266-d5eb-46c6-8453-3c7426407625 · outbound

This paper cites Fiorini, S.

Gap-Aware Exact Nonnegative Matrix Factorization: A Two-Sided SVD Gauge and a Three-Regime W-Rank Taxonomy Fiorini, S

Reference 7

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

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 4f981821-6059-4fa7-9d26-c57a068431d4 · outbound

This paper cites Fiorini, T.

Gap-Aware Exact Nonnegative Matrix Factorization: A Two-Sided SVD Gauge and a Three-Regime W-Rank Taxonomy Fiorini, T

Reference 8

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

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 6d8e5b7f-b9ac-4636-bd34-57cae8801075 · outbound

This paper cites an unresolved cited work.

Gap-Aware Exact Nonnegative Matrix Factorization: A Two-Sided SVD Gauge and a Three-Regime W-Rank Taxonomy Unresolved cited work

Reference 9

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

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 65200757-253c-4f63-8fba-d495050d089d · outbound

This paper cites Arora, R.

Gap-Aware Exact Nonnegative Matrix Factorization: A Two-Sided SVD Gauge and a Three-Regime W-Rank Taxonomy Arora, R

Reference 10

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

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 29562303-36ba-4d09-9adc-61f439bc4f3c · outbound

This paper cites Absil, R.

Gap-Aware Exact Nonnegative Matrix Factorization: A Two-Sided SVD Gauge and a Three-Regime W-Rank Taxonomy Absil, R

Reference 11

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

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 66ae8abb-95d5-4683-94e8-e0b5172bace7 · outbound

This paper cites Edelman, T.

Gap-Aware Exact Nonnegative Matrix Factorization: A Two-Sided SVD Gauge and a Three-Regime W-Rank Taxonomy Edelman, T

Reference 12

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

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 0aa40725-b362-4ecb-87f6-056e27226918 · outbound

This paper cites Diaconis,Patterns in eigenvalues, Bull.

Gap-Aware Exact Nonnegative Matrix Factorization: A Two-Sided SVD Gauge and a Three-Regime W-Rank Taxonomy Diaconis,Patterns in eigenvalues, Bull

Reference 13

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

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation a8795989-8260-4125-8b6e-37784d61e423 · outbound

This paper cites an unresolved cited work.

Gap-Aware Exact Nonnegative Matrix Factorization: A Two-Sided SVD Gauge and a Three-Regime W-Rank Taxonomy Unresolved cited work

Reference 14

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

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 9d051bbb-a887-436e-81c8-adee990ef06e · outbound

This paper cites Fukuda,cddlib reference manual, available at https://people.inf.ethz.ch/fukudak/cdd home/.

Gap-Aware Exact Nonnegative Matrix Factorization: A Two-Sided SVD Gauge and a Three-Regime W-Rank Taxonomy Fukuda,cddlib reference manual, available at https://people.inf.ethz.ch/fukudak/cdd home/

Reference 15

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

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Pith citing papers

No inbound Pith citation observations are available.