Paper Citation Record · LEDGER

Perfect Clustering in Very Sparse Diverse Multiplex Networks

As of 16 August 2026, this Paper Citation Record lists 25 of 25 outbound references and 0 inbound Pith citation observations for arXiv:2507.19423.

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

pith.paper-citation-record.v1
2507.19423 v1

Coverage vector

measured 25 of 25 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-15T18:00:34.724661Z

measured 25 of 25 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-16T06:30:59.297886+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

25 of 25 outbound references displayed

verified exact1
verified fuzzy3
unresolved21
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation bd5485e8-6ca6-487a-83a8-df59fae44d17 · outbound

This paper cites Estimating Higher-Order Mixed Memberships via the $\ell_{2,\infty}$ Tensor Perturbation Bound.

Perfect Clustering in Very Sparse Diverse Multiplex Networks Estimating Higher-Order Mixed Memberships via the $\ell_{2,\infty}$ Tensor Perturbation Bound

Reference 1

Resolution: unresolved; no resolver link, observed 2026-08-15T18:00:34.608098Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation b577c1c4-80c9-4cfc-bec4-c60401a0cd27 · outbound

This paper cites Statistical Inference for Low-Rank Tensors: Heteroskedasticity, Subgaussianity, and Applications.

Perfect Clustering in Very Sparse Diverse Multiplex Networks Statistical Inference for Low-Rank Tensors: Heteroskedasticity, Subgaussianity, and Applications

Reference 2

Resolution: unresolved; no resolver link, observed 2026-08-15T18:00:34.613561Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 341c35dc-80c0-47c1-b239-f99221921489 · outbound

This paper cites Arroyo, A.

Perfect Clustering in Very Sparse Diverse Multiplex Networks Arroyo, A

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T18:00:35.317244Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 568d18bb-7157-4f20-a9ee-732bae1bba28 · outbound

This paper cites Athreya, D.

Perfect Clustering in Very Sparse Diverse Multiplex Networks Athreya, D

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T18:00:35.301471Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation da28fb0b-3bec-472e-b10b-ddb464f9be18 · outbound

This paper cites an unresolved cited work.

Perfect Clustering in Very Sparse Diverse Multiplex Networks Unresolved cited work

Reference 5

Resolution: unresolved; no resolver link, observed 2026-08-15T18:00:34.627844Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 9c1990ce-0db8-405c-a51e-84c4f734c58f · outbound

This paper cites an unresolved cited work.

Perfect Clustering in Very Sparse Diverse Multiplex Networks Unresolved cited work

Reference 6

Resolution: unresolved; raw_fallback, observed 2026-08-15T18:00:35.284766Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 41478559-69b1-43a6-8e81-2b8d09496da0 · outbound

This paper cites Gupta and D.

Perfect Clustering in Very Sparse Diverse Multiplex Networks Gupta and D

Reference 7

Resolution: unresolved; no resolver link, observed 2026-08-15T18:00:34.638559Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation bcb851fd-d464-4035-9cef-e32d30aa07b1 · outbound

This paper cites an unresolved cited work.

Perfect Clustering in Very Sparse Diverse Multiplex Networks Unresolved cited work

Reference 8

Resolution: verified exact; doi, observed 2026-08-15T18:00:34.880902Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 00939ae4-8aa4-4174-b0c4-5fb6107a94fb · outbound

This paper cites The multilayer random dot product graph.

Perfect Clustering in Very Sparse Diverse Multiplex Networks The multilayer random dot product graph

Reference 9

Resolution: unresolved; no resolver link, observed 2026-08-15T18:00:34.647387Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 217d5ca1-8c28-4ff4-b15a-1121538d0b9a · outbound

This paper cites Community Detection for Hypergraph Networks via Regularized Tensor Power Iteration.

Perfect Clustering in Very Sparse Diverse Multiplex Networks Community Detection for Hypergraph Networks via Regularized Tensor Power Iteration

Reference 10

Resolution: unresolved; no resolver link, observed 2026-08-15T18:00:34.652203Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation cf89b515-fce2-486a-8741-c429a33fbc98 · outbound

This paper cites an unresolved cited work.

Perfect Clustering in Very Sparse Diverse Multiplex Networks Unresolved cited work

Reference 11

Resolution: unresolved; raw_fallback, observed 2026-08-15T18:00:35.268933Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 3631d1a1-46cd-4707-8423-79e4b78d67f3 · outbound

This paper cites Lei and K.

Perfect Clustering in Very Sparse Diverse Multiplex Networks Lei and K

Reference 12

Resolution: unresolved; no resolver link, observed 2026-08-15T18:00:34.661859Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 54a9abb8-1f6d-47d2-b7e7-2dbf0d560bf6 · outbound

This paper cites an unresolved cited work.

Perfect Clustering in Very Sparse Diverse Multiplex Networks Unresolved cited work

Reference 13

Resolution: unresolved; no resolver link, observed 2026-08-15T18:00:34.666633Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation c6225bbd-e0cb-4c51-b1c8-877cfea75a28 · outbound

This paper cites an unresolved cited work.

Perfect Clustering in Very Sparse Diverse Multiplex Networks Unresolved cited work

Reference 14

Resolution: unresolved; raw_fallback, observed 2026-08-15T18:00:35.254072Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 6fe9e09d-2045-4ecb-ad3f-2412e8b99269 · outbound

This paper cites Optimal Clustering of Discrete Mixtures: Binomial, Poisson, Block Models, and Multi-layer Networks.

Perfect Clustering in Very Sparse Diverse Multiplex Networks Optimal Clustering of Discrete Mixtures: Binomial, Poisson, Block Models, and Multi-layer Networks

Reference 15

Resolution: unresolved; no resolver link, observed 2026-08-15T18:00:34.675670Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 3f127194-14cc-4cea-aae7-33242a355856 · outbound

This paper cites an unresolved cited work.

Perfect Clustering in Very Sparse Diverse Multiplex Networks Unresolved cited work

Reference 16

Resolution: unresolved; raw_fallback, observed 2026-08-15T18:00:35.239175Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation e259b6b9-29f5-4de9-b035-3eeae520d75a · outbound

This paper cites Davis-Kahan Theorem in the two-to-infinity norm and its application to perfect clustering.

Perfect Clustering in Very Sparse Diverse Multiplex Networks Davis-Kahan Theorem in the two-to-infinity norm and its application to perfect clustering

Reference 17

Resolution: unresolved; no resolver link, observed 2026-08-15T18:00:34.686098Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation cc3fe704-1a78-4784-8fbe-95d271c28442 · outbound

This paper cites Optimal Network Membership Estimation Under Severe Degree Heterogeneity.

Perfect Clustering in Very Sparse Diverse Multiplex Networks Optimal Network Membership Estimation Under Severe Degree Heterogeneity

Reference 18

Resolution: unresolved; no resolver link, observed 2026-08-15T18:00:34.690971Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 8313481d-9ae5-4e2a-a921-ba4d1ddcf81b · outbound

This paper cites Pensky and Y.

Perfect Clustering in Very Sparse Diverse Multiplex Networks Pensky and Y

Reference 19

Resolution: unresolved; no resolver link, observed 2026-08-15T18:00:34.696107Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation d8ffeaf5-d2da-4034-a50c-f7dd000d4711 · outbound

This paper cites Rao and M.

Perfect Clustering in Very Sparse Diverse Multiplex Networks Rao and M

Reference 20

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T18:00:35.223776Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 3a6702b4-806d-487c-873f-d35e64c54e7d · outbound

This paper cites Rubin-Delanchy, J.

Perfect Clustering in Very Sparse Diverse Multiplex Networks Rubin-Delanchy, J

Reference 21

Resolution: unresolved; no resolver link, observed 2026-08-15T18:00:34.706680Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 571b0a93-0064-4345-9a34-5c14fc6a53fa · outbound

This paper cites an unresolved cited work.

Perfect Clustering in Very Sparse Diverse Multiplex Networks Unresolved cited work

Reference 22

Resolution: unresolved; no resolver link, observed 2026-08-15T18:00:34.711277Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 85cea6f6-9743-49ec-b2b6-aecbb2a6e6e1 · outbound

This paper cites an unresolved cited work.

Perfect Clustering in Very Sparse Diverse Multiplex Networks Unresolved cited work

Reference 23

Resolution: unresolved; no resolver link, observed 2026-08-15T18:00:34.715906Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 2a2a3239-476f-4d25-b4a6-53dd0f23dd99 · outbound

This paper cites Zhang and D.

Perfect Clustering in Very Sparse Diverse Multiplex Networks Zhang and D

Reference 24

Resolution: unresolved; no resolver link, observed 2026-08-15T18:00:34.720200Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 5f2331b9-39f3-462e-84c6-3893f143e15f · outbound

This paper cites Zheng and M.

Perfect Clustering in Very Sparse Diverse Multiplex Networks Zheng and M

Reference 25

Resolution: unresolved; no resolver link, observed 2026-08-15T18:00:34.724661Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Pith citing papers

No inbound Pith citation observations are available.