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Paper Citation Record · LEDGER

Between-User Collapse Under Popularity-Biased Feedback: A Centered-Covariance Theorem and Computable Phase Boundary

As of 8 August 2026, this Paper Citation Record lists 12 of 12 outbound references and 0 inbound Pith citation observations for arXiv:2608.02548.

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

pith.paper-citation-record.v1
2608.02548 v1

Coverage vector

measured 12 of 12 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-04T04:59:50.916511Z

measured 12 of 12 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 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

12 of 12 outbound references displayed

  • verified exact0
  • verified fuzzy0
  • unresolved10
  • parse uncertain0
  • malformed identifier2
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation b3ce0de4-f094-4c1f-b985-396fbb271041 · outbound

This paper cites Curtis, and Jorge Nocedal.

Between-User Collapse Under Popularity-Biased Feedback: A Centered-Covariance Theorem and Computable Phase Boundary Curtis, and Jorge Nocedal

Reference 1

Resolution
malformed identifier
no resolver link, observed 2026-08-04T04:59:50.883157Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-04T04:59:50.883157Z digest=sha256:1beef7a1f3321605526f543c63655a6ad2adf374e41649534889c94f9d233e07

Observation 5eb76452-13ac-4274-ba98-794002097b04 · outbound

This paper cites Chaney, Brandon M.

Between-User Collapse Under Popularity-Biased Feedback: A Centered-Covariance Theorem and Computable Phase Boundary Chaney, Brandon M

Reference 2

Resolution
unresolved
no resolver link, observed 2026-08-04T04:59:50.886530Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-04T04:59:50.886530Z digest=sha256:1c40d04dab53dc1ae959592034f4a72d621c5d05a632a0041dfb4320f1ea3fbf

Observation 56ff34db-924b-42b8-9291-48175f4d2ba2 · outbound

This paper cites an unresolved cited work.

Between-User Collapse Under Popularity-Biased Feedback: A Centered-Covariance Theorem and Computable Phase Boundary Unresolved cited work

Reference 3

Resolution
unresolved
no resolver link, observed 2026-08-04T04:59:50.889213Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-04T04:59:50.889213Z digest=sha256:138efbf88e49976c26626b62d882506c8f1c7d4e883d4d67ba68aa3a11973cc5

Observation 9601fdd9-ab1a-4e60-9f9c-0a653e30fa56 · outbound

This paper cites Understanding Dimensional Collapse in Contrastive Self-supervised Learning.

Between-User Collapse Under Popularity-Biased Feedback: A Centered-Covariance Theorem and Computable Phase Boundary Understanding Dimensional Collapse in Contrastive Self-supervised Learning

Reference 4

Resolution
unresolved
no resolver link, observed 2026-08-04T04:59:50.892109Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-04T04:59:50.892109Z digest=sha256:8577d5deb24e230aa80388529e7ae3617e25b9bde1be7489f2479c812fc93d16

Observation a0e6b8cd-043c-41af-b173-b11008d8cd22 · outbound

This paper cites an unresolved cited work.

Between-User Collapse Under Popularity-Biased Feedback: A Centered-Covariance Theorem and Computable Phase Boundary Unresolved cited work

Reference 5

Resolution
unresolved
no resolver link, observed 2026-08-04T04:59:50.895359Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-04T04:59:50.895359Z digest=sha256:c3a9b0e9348906c15ab309943c5c5c94deaf64b073c68793b46edf19d169b027

Observation c06120f4-d51e-4c3b-91d9-78841bfeb085 · outbound

This paper cites an unresolved cited work.

Between-User Collapse Under Popularity-Biased Feedback: A Centered-Covariance Theorem and Computable Phase Boundary Unresolved cited work

Reference 6

Resolution
malformed identifier
no resolver link, observed 2026-08-04T04:59:50.898352Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-04T04:59:50.898352Z digest=sha256:340cf98ed4bfa6439477c90600210638a4b0dae5752c8393d880257a4c9adc31

Observation 24944d66-b868-4400-8821-87108489b048 · outbound

This paper cites Understanding and Scaling Collaborative Filtering Optimization from the Perspective of Matrix Rank.

Between-User Collapse Under Popularity-Biased Feedback: A Centered-Covariance Theorem and Computable Phase Boundary Understanding and Scaling Collaborative Filtering Optimization from the Perspective of Matrix Rank

Reference 7

Resolution
unresolved
no resolver link, observed 2026-08-04T04:59:50.901153Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-04T04:59:50.901153Z digest=sha256:eda1944a1174db8ed86845f562a2d61c5003700045d65244f69f49e13410cbe3

Observation 42dcd667-69e8-41ef-9924-d556b394a7ee · outbound

This paper cites an unresolved cited work.

Between-User Collapse Under Popularity-Biased Feedback: A Centered-Covariance Theorem and Computable Phase Boundary Unresolved cited work

Reference 8

Resolution
unresolved
no resolver link, observed 2026-08-04T04:59:50.904249Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-04T04:59:50.904249Z digest=sha256:69edf4333a9f6b28a5807e2a21bdbd16fca25e10e9234bbccb6bea395c4cc53b

Observation 5c9f6e67-f7a6-4f21-b34c-fd4bda562599 · outbound

This paper cites Balancing Embedding Spectrum for Recommendation.

Between-User Collapse Under Popularity-Biased Feedback: A Centered-Covariance Theorem and Computable Phase Boundary Balancing Embedding Spectrum for Recommendation

Reference 9

Resolution
unresolved
no resolver link, observed 2026-08-04T04:59:50.907595Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-04T04:59:50.907595Z digest=sha256:842f03d501bff8471f91caeacd1d5dfd3a1f4c72773d67bda66170b08ef9f41c

Observation 9972c7cd-3bed-49aa-9048-71530092f9a2 · outbound

This paper cites BPR: Bayesian Personalized Ranking from Implicit Feedback.

Between-User Collapse Under Popularity-Biased Feedback: A Centered-Covariance Theorem and Computable Phase Boundary BPR: Bayesian Personalized Ranking from Implicit Feedback

Reference 10

Resolution
unresolved
no resolver link, observed 2026-08-04T04:59:50.910942Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-04T04:59:50.910942Z digest=sha256:1d77d2340dbb418b65eafd2bcc68a5a8ff9090a05559cdae3b1b828dc843d416

Observation 9adb8bfd-4f92-42fc-b5cc-fb7d4b90666f · outbound

This paper cites an unresolved cited work.

Between-User Collapse Under Popularity-Biased Feedback: A Centered-Covariance Theorem and Computable Phase Boundary Unresolved cited work

Reference 11

Resolution
unresolved
no resolver link, observed 2026-08-04T04:59:50.913979Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-04T04:59:50.913979Z digest=sha256:40034503e49e18bb4e7b7321d2ff15579a19422acc4d967aa899f69524b2577d

Observation 213046ca-d6cb-4731-9f64-32adc59db354 · outbound

This paper cites an unresolved cited work.

Between-User Collapse Under Popularity-Biased Feedback: A Centered-Covariance Theorem and Computable Phase Boundary Unresolved cited work

Reference 12

Resolution
unresolved
no resolver link, observed 2026-08-04T04:59:50.916511Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-04T04:59:50.916511Z digest=sha256:a500b9aec107d4a9f059e4347cea8c95791f8e99dc6fa6ad62087b48eff96472

Pith citing papers

No inbound Pith citation observations are available.