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Paper Citation Record · LEDGER

Phase transitions for the existence of unregularized M-estimators in single index models

As of 11 August 2026, this Paper Citation Record lists 23 of 23 outbound references and 1 inbound Pith citation observation for arXiv:2501.03163.

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

pith.paper-citation-record.v1
2501.03163 v3

Coverage vector

measured 23 of 23 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-10T22:03:00.703771Z

measured 24 of 24 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 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-06T22:55:23.919424Z

measured 0 of 1 external citation measurements

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

Source: pith, observed 2026-08-06T22:55:25.299825Z

Reference resolution

23 of 23 outbound references displayed

  • verified exact1
  • verified fuzzy14
  • unresolved8
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 14a26a99-8151-42e7-b149-65a716d3294e · outbound

This paper cites write newline.

Phase transitions for the existence of unregularized M-estimators in single index models write newline

Reference 1

Resolution
unresolved
no resolver link, observed 2026-08-10T22:03:00.608043Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-10T22:03:00.608043Z digest=sha256:841f81be0b352e9cff9744016a162473b57b905bfecb05bb9a70abe8b8195bc9

Observation ff71a872-fd1e-43f3-a110-5226d2f739e1 · outbound

This paper cites B., and Tropp, J.

Phase transitions for the existence of unregularized M-estimators in single index models B., and Tropp, J

Reference 2

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T22:03:01.035394Z

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.

source=arxiv_source observed=2026-08-10T22:03:00.613964Z digest=sha256:828f08edffdb2072c056915db6311b3692f8ec0e2443929035a77ea8c8f6f923

Observation 4114be82-f9dc-4d98-bf50-6cb908b93847 · outbound

This paper cites an unresolved cited work.

Phase transitions for the existence of unregularized M-estimators in single index models Unresolved cited work

Reference 3

Resolution
unresolved
raw_fallback, observed 2026-08-10T22:03:01.021663Z

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.

source=arxiv_source observed=2026-08-10T22:03:00.618468Z digest=sha256:d90ef43aee317c84c6ad7db9949c3d41c0ec6815ba9ce58f286a32a0f9677e57

Observation b9535067-7d7c-4096-b919-f826ac96c472 · outbound

This paper cites and Montanari, A.

Phase transitions for the existence of unregularized M-estimators in single index models and Montanari, A

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T22:03:01.008530Z

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.

source=arxiv_source observed=2026-08-10T22:03:00.622919Z digest=sha256:afe182965aae0f2780b5549804d04526f461eb67db120a853d7f86235e4cd2fd

Observation c5707b93-abc0-4d7d-9da1-38e382ebd07b · outbound

This paper cites Existence of solutions to the nonlinear equations characterizing the precise error of M-estimators.

Phase transitions for the existence of unregularized M-estimators in single index models Existence of solutions to the nonlinear equations characterizing the precise error of M-estimators

Reference 5

Resolution
unresolved
no resolver link, observed 2026-08-10T22:03:00.627420Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-10T22:03:00.627420Z digest=sha256:378d1e9fa0f97366587452ddeb8579602349c9e390840fc6c4fec96acd9ad12a

Observation 0b87659e-52ab-48c6-af88-acb73bb1eba0 · outbound

This paper cites Concentration inequalities: A nonasymptotic theory of independence.

Phase transitions for the existence of unregularized M-estimators in single index models Concentration inequalities: A nonasymptotic theory of independence

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T22:03:00.996952Z

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.

source=arxiv_source observed=2026-08-10T22:03:00.632346Z digest=sha256:a7514c8b81c5a4b88046cb5932a83b9b16c31c380b72a37a534035066d236933

Observation 0f51b7d5-c9fb-45c3-a10c-02b3b155ac2e · outbound

This paper cites an unresolved cited work.

Phase transitions for the existence of unregularized M-estimators in single index models Unresolved cited work

Reference 7

Resolution
unresolved
raw_fallback, observed 2026-08-10T22:03:00.985779Z

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.

source=arxiv_source observed=2026-08-10T22:03:00.637265Z digest=sha256:44f8fcec8ceee1db3101f337b237a71cae55a935d0a8ca7900f6eb4d5f669137

Observation f7298639-57ac-4666-9abe-4c5bc23b0b8f · outbound

This paper cites The lasso with general gaussian designs with applications to hypothesis testing.

Phase transitions for the existence of unregularized M-estimators in single index models The lasso with general gaussian designs with applications to hypothesis testing

Reference 8

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T22:03:00.974839Z

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.

source=arxiv_source observed=2026-08-10T22:03:00.642037Z digest=sha256:f65b881cf60f33f369e4541a4ffaa34cae0b5651f65e3c30ef3ba2c82f309aeb

Observation 21a55b32-5862-4377-9f5b-b6e88673492b · outbound

This paper cites an unresolved cited work.

Phase transitions for the existence of unregularized M-estimators in single index models Unresolved cited work

Reference 9

Resolution
unresolved
no resolver link, observed 2026-08-10T22:03:00.645983Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-10T22:03:00.645983Z digest=sha256:cca2bbb7f93c2445c373c996feb74d8f5e6e2af574bef1e22574b0c9e36c409d

Observation c46a484f-14ff-4817-b849-a6e5217a248d · outbound

This paper cites and Derrida, B.

Phase transitions for the existence of unregularized M-estimators in single index models and Derrida, B

Reference 10

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T22:03:00.957103Z

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.

source=arxiv_source observed=2026-08-10T22:03:00.650211Z digest=sha256:e69f7a0d47e99eb64a156b328ab7e31010b1f0a9547de7fff26ddb35cecdd733

Observation 364f9342-b9c4-49fd-94a3-444eda8ef43c · outbound

This paper cites Generalisation error in learning with random features and the hidden manifold model.

Phase transitions for the existence of unregularized M-estimators in single index models Generalisation error in learning with random features and the hidden manifold model

Reference 11

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T22:03:00.946670Z

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.

source=arxiv_source observed=2026-08-10T22:03:00.654479Z digest=sha256:790d2778945a38c2bebca70a6227aaf800e25bf586202edaf0f0f9c35c521d7c

Observation 3ba068a0-835e-4030-8362-52dbcabb8c87 · outbound

This paper cites and Ren, H.

Phase transitions for the existence of unregularized M-estimators in single index models and Ren, H

Reference 12

Resolution
verified exact
raw_fallback, observed 2026-08-10T22:03:00.818320Z

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.

source=arxiv_source observed=2026-08-10T22:03:00.658528Z digest=sha256:2eab338a5db29a790a3368a0b49fe9885be9c89b86c8979b57f58bac883eafc9

Observation f6a06b4f-05c3-4634-9da5-860530d36e46 · outbound

This paper cites and M \'e zard, M.

Phase transitions for the existence of unregularized M-estimators in single index models and M \'e zard, M

Reference 13

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T22:03:00.936593Z

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.

source=arxiv_source observed=2026-08-10T22:03:00.663516Z digest=sha256:306e74bda333f3aa8c6df27482ea97a968dc9958f9b64ac65b05d29b36e8ef7b

Observation d04344b2-47ba-4e33-88c8-79afeaf6783c · outbound

This paper cites and Sur, P.

Phase transitions for the existence of unregularized M-estimators in single index models and Sur, P

Reference 14

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T22:03:00.925856Z

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.

source=arxiv_source observed=2026-08-10T22:03:00.667453Z digest=sha256:0f35bcf801d5b48967c60d18e64db7349a1685c5ab98f629b4e9567a54f616ea

Observation 2429a2cb-9e25-4335-9eb5-1110b94348c9 · outbound

This paper cites Learning curves of generic features maps for realistic datasets with a teacher-student model.

Phase transitions for the existence of unregularized M-estimators in single index models Learning curves of generic features maps for realistic datasets with a teacher-student model

Reference 15

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T22:03:00.914412Z

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.

source=arxiv_source observed=2026-08-10T22:03:00.671306Z digest=sha256:0fb51af260dce0463efa71a25a8f245f60a45e2d69adc7546b66d2bf36b52004

Observation 644357e7-7352-45c4-94c4-d9fba5664996 · outbound

This paper cites The role of regularization in classification of high-dimensional noisy gaussian mixture.

Phase transitions for the existence of unregularized M-estimators in single index models The role of regularization in classification of high-dimensional noisy gaussian mixture

Reference 16

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T22:03:00.902628Z

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.

source=arxiv_source observed=2026-08-10T22:03:00.676067Z digest=sha256:d001a20530bfe11b714b8f7e59a6b252410d52ad5821d67eeca5cd0ae9056179

Observation a0a56db3-da4d-4615-b857-443be5aa8e20 · outbound

This paper cites and Montanari, A.

Phase transitions for the existence of unregularized M-estimators in single index models and Montanari, A

Reference 17

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T22:03:00.891046Z

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.

source=arxiv_source observed=2026-08-10T22:03:00.680093Z digest=sha256:f17e3ba3ff3f74b9f813580089b6b162fa7a58e27fe2c219cfd6d2f2e8920018

Observation cafc84a2-d01b-4990-84f5-f1c9bc167805 · outbound

This paper cites The generalization error of max-margin linear classifiers: Benign overfitting and high dimensional asymptotics in the overparametrized regime.

Phase transitions for the existence of unregularized M-estimators in single index models The generalization error of max-margin linear classifiers: Benign overfitting and high dimensional asymptotics in the overparametrized regime

Reference 18

Resolution
unresolved
no resolver link, observed 2026-08-10T22:03:00.683730Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-10T22:03:00.683730Z digest=sha256:1e46fce637b2eeacd4e295fc91f75b3ec6a542c6d851051798226be67c6d03c0

Observation 73dd8513-bb02-429c-835f-e022612c7421 · outbound

This paper cites The impact of regularization on high-dimensional logistic regression.

Phase transitions for the existence of unregularized M-estimators in single index models The impact of regularization on high-dimensional logistic regression

Reference 19

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T22:03:00.879906Z

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.

source=arxiv_source observed=2026-08-10T22:03:00.687649Z digest=sha256:411609fc5e8da987916dd062978107681b50700547ecd8bfa1b182b25035ed36

Observation e8acf0a3-0860-48cc-8c4f-445ad7959f7a · outbound

This paper cites and Cand \`e s, E.

Phase transitions for the existence of unregularized M-estimators in single index models and Cand \`e s, E

Reference 20

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T22:03:00.867827Z

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.

source=arxiv_source observed=2026-08-10T22:03:00.691215Z digest=sha256:2ce63c033d2d0d86b7344a9f04fbb20ccd4d957ea31859f3a160eec9d7b308b6

Observation a0aff96c-0bf8-43f7-be9a-c3aeabf5b547 · outbound

This paper cites an unresolved cited work.

Phase transitions for the existence of unregularized M-estimators in single index models Unresolved cited work

Reference 21

Resolution
unresolved
no resolver link, observed 2026-08-10T22:03:00.696033Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-10T22:03:00.696033Z digest=sha256:86fb35475fc2fc2753d01974ed35923bae9fab00722720fd69f5dbbe870daef5

Observation fe8b59ab-3e17-4eb2-88a8-737f7994bb62 · outbound

This paper cites and Ye, Y.

Phase transitions for the existence of unregularized M-estimators in single index models and Ye, Y

Reference 22

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T22:03:00.850069Z

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.

source=arxiv_source observed=2026-08-10T22:03:00.699915Z digest=sha256:51a0b9cee555419d2f9c0be601d9c7f99112b6e83a143561f5fa282f9bec6329

Observation c689247c-e4d7-4263-9e8e-f8c6d3dec7d2 · outbound

This paper cites Precise error analysis of regularized m -estimators in high dimensions.

Phase transitions for the existence of unregularized M-estimators in single index models Precise error analysis of regularized m -estimators in high dimensions

Reference 23

Resolution
unresolved
no resolver link, observed 2026-08-10T22:03:00.703771Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-10T22:03:00.703771Z digest=sha256:47d6958e7f93030b343a5f875df3d32013c95632664fcbf3b85ee13c91bb9a4e

Pith citing papers

Observation a8f96a70-5b7c-4131-b66c-0669bf27420b · inbound

A High-Dimensional Statistical Theory for Convex and Nonconvex Matrix Sensing cites this paper.

A High-Dimensional Statistical Theory for Convex and Nonconvex Matrix Sensing Phase transitions for the existence of unregularized M-estimators in single index models

Reference 43

Resolution
verified exact
local_arxiv, observed 2026-08-06T22:55:25.303687Z

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.

source=arxiv_source observed=2026-08-06T22:55:23.919424Z digest=sha256:f6a82a618c7e401669c2a420ae0be676e28834f13a684fdb872b8b8d1566e647