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Paper Citation Record · LEDGER

Perfect Clustering in Very Sparse Diverse Multiplex Networks

As of 19 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 2026-08-19T06:32:44.657259+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.

source=arxiv_source observed=2026-08-15T18:00:34.608098Z digest=sha256:367b70199fbad58565a5901cf684dfc32705a012ce9a5c5cb4165a3cea655087

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.

source=arxiv_source observed=2026-08-15T18:00:34.613561Z digest=sha256:81842ca1ddac2b525d67cf7b47050b4392e06aef1a9e81ad3af8f613830139cd

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 2026-08-19T06:32:44.657259+00:00.

source=arxiv_source observed=2026-08-15T18:00:34.618369Z digest=sha256:5b4d33cad7ca1f58db663329fd8aff214ca2b59dbd23b612ae2bea1841df1678

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 2026-08-19T06:32:44.657259+00:00.

source=arxiv_source observed=2026-08-15T18:00:34.623084Z digest=sha256:c11cfcbe9b63673a4b72f68c6b734bd2a2cec2d95b364d1b13c7a4da19df70e1

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.

source=arxiv_source observed=2026-08-15T18:00:34.627844Z digest=sha256:67eedd7af12ca668ca8f85de4910582b8d3348bb3294ce95bbf57d1c37c79678

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 2026-08-19T06:32:44.657259+00:00.

source=arxiv_source observed=2026-08-15T18:00:34.632554Z digest=sha256:838979723553244aad7f5b0c44f1a38df02ee35560d2b68018987614ed253331

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.

source=arxiv_source observed=2026-08-15T18:00:34.638559Z digest=sha256:19839727c91efed401d74eaefc00f425a4164d950b75f9969572d525d8692f48

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 2026-08-19T06:32:44.657259+00:00.

source=arxiv_source observed=2026-08-15T18:00:34.642978Z digest=sha256:a2043dd273614af463d8183e5bccf08f67cf3aa3e6f2c3275c6e166886c5df05

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.

source=arxiv_source observed=2026-08-15T18:00:34.647387Z digest=sha256:5e7a9f0501a83c0cf534e1b685146fb915344b9e8721443244364200c67b7957

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.

source=arxiv_source observed=2026-08-15T18:00:34.652203Z digest=sha256:0fffaebd33ff6622ab7f991b6b29a1b0030f6eaa0985e2b51487a4498ca5ab20

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 2026-08-19T06:32:44.657259+00:00.

source=arxiv_source observed=2026-08-15T18:00:34.657125Z digest=sha256:8a3a92d756a753a96107fc0583cc7f25327ac280b7cdc84dd93cbe4df69da8c9

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.

source=arxiv_source observed=2026-08-15T18:00:34.661859Z digest=sha256:8e28ed54f5ba5ab7aa4b59e5c94339732f116a97e60c3b6014bad3db049036ff

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.

source=arxiv_source observed=2026-08-15T18:00:34.666633Z digest=sha256:9f1d54fe645c62d2900cc463e18f38b288c4e4de392f8456152866f6fe7e9f1a

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 2026-08-19T06:32:44.657259+00:00.

source=arxiv_source observed=2026-08-15T18:00:34.671074Z digest=sha256:30ec58ae20dce8ad3938db9c6716a88c4523821f425890a76576ffdf5a79bb62

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.

source=arxiv_source observed=2026-08-15T18:00:34.675670Z digest=sha256:8979e7bb6339481a109baa9102b10fe82a1dc5233f2ae61fc134506d52e953b3

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 2026-08-19T06:32:44.657259+00:00.

source=arxiv_source observed=2026-08-15T18:00:34.681625Z digest=sha256:5b360a83c67a44d2629ec2167f12a7bbfab933f974965a99835f46f2d9698478

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.

source=arxiv_source observed=2026-08-15T18:00:34.686098Z digest=sha256:229a7252e70001146d6c5730340709e9d3cba1fbe9fb34581f290b3a7b6f9972

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.

source=arxiv_source observed=2026-08-15T18:00:34.690971Z digest=sha256:5c6fbf6b6c15fab79d24826bdaafd1e9c8a67e56d0e9c637d3e8198fabf1a494

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.

source=arxiv_source observed=2026-08-15T18:00:34.696107Z digest=sha256:2efef29cf17a5678b68ee0450f1477c44e0112004e525c87770d36d4d322fc62

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 2026-08-19T06:32:44.657259+00:00.

source=arxiv_source observed=2026-08-15T18:00:34.701164Z digest=sha256:56eb1340a12be22b5a040cd8dfb6d434c2edd54af2230ea7fab4f5dbef2961c1

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.

source=arxiv_source observed=2026-08-15T18:00:34.706680Z digest=sha256:236f03ab56d97907bed6ca63eb20665b3b1fa24348e193a76bf898de1fb9ef15

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.

source=arxiv_source observed=2026-08-15T18:00:34.711277Z digest=sha256:148ab026a7b6a1f395df7afec80ad2f15e185012e1849b474f236652cfafe32b

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.

source=arxiv_source observed=2026-08-15T18:00:34.715906Z digest=sha256:c694594cbbf1240becefd6d1d3bc4347f56eacfdd3cdf7e5ced74087cad00207

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.

source=arxiv_source observed=2026-08-15T18:00:34.720200Z digest=sha256:fcd4150d4a2f687c95c4cf9e10285db1c3812b3dd999fc644b93ded7628ea0b1

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.

source=arxiv_source observed=2026-08-15T18:00:34.724661Z digest=sha256:a9a38959ce9864b3fb9068616dd070296706333011cc570935ca48da0dbbfaf1

Pith citing papers

No inbound Pith citation observations are available.