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Paper Citation Record · LEDGER

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

As of 12 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:e14b0ba5deb1ed373b6ca27fc14dcf5c54e9fc429186bf48f85874deeaf6de65

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:b6ce67540e7a8c4dc9da613c1e7a3cfb8f67da6e97037e53def1808287b83b10

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=sha256:8c110b3ebc525bfb97988116863687a931fee6111d4e4268cb961b01dcc432a0

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=sha256:64d8fa7bb162849f04bfb0204fc165626fab88da622ae6acb67089d4d18af07b

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=sha256:32e798e820e36bf30d739dd087227608fa623fbb5e80c3cfa0b1c00482f81bb1

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:b56257a78a188a248a069b61f7b43919cb554ebf10da069b4abdc41934147cf3

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=sha256:2e9c419fe68d1da4c3917e83c21460caad42892d97725918dd5f3134f6d5d91f

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=sha256:8bd2dd24edd3767e1e288774ef0e1dcb267a80e343625449490774317e18152b

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=sha256:1b515f16a5c4af4ac8d3ac41502f0e50fe1b18a6fcef642b46325fdcd88ce20a

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=sha256:5624fe8168a6f730aca974755178abc35b1319d41465361324a943f3b8b24b08

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:a4e7defda7b5102e941b921525289af31eafba9f4bf75568f3d8509df4ed29e4

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=sha256:5bfcc502a0a14309dfd2384b23cd63914bc18bc34f5446f3183795e9b7afb4bd

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=sha256:3d1c847bc7f98af6c6d79231aabc71625c7232bdb8791ac35f73154d3495cf57

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:fb75a536926a41b749a89f544dcfbcadd8abe510709b79b8077c394bea3d2192

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=sha256:8febde50229649665ab9cdd0be2a613edbb4216d339684e5d79c8778c7d91701

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=sha256:9a79a775ab7b8fea3ab5f172443e1757e9c6094097058d2562294ebde70891e4

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=sha256:1c5bbd308a3ce0cdbe72b1c6532c472d502d907656942439642108a3f6f52757

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:c920455eaa1b59cfc8c3731567bb60bc6bb236aff74034a7aa6620361d437fcb

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=sha256:2b5d9e1730e72c4d6ad09ca0adc205ea988f1b19645c3c9b575d37271183bf5e

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=sha256:506e564212a8e13d7d37a0bf5258d822fbd07801ee98309dbc58f0118f9363e0

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:e5915b9edb3abdca2f1d2323a1006dcd5682df7250edb61287f86841901a8dce

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=sha256:0f956b9328e256c61e55550f0e940b59e393ed20f4e5a0601effc93fa98e92f2

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=sha256:903d1812a7f8373c4ea1c8155b55832ed00af85b97703012a1687bc393cac3f2

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=sha256:7ea1d244b562bfe44c87cce066d24a0f188897748602b6bb30ff6b1022633e8a