Paper Citation Record · LEDGER

Non-asymptotic Tail Bounds for the Kostlan--Shub--Smale Field: Tensor PCA and Spherical $k$-Spin Complexity

As of 10 August 2026, this Paper Citation Record lists 23 of 23 outbound references and 1 inbound Pith citation observation for arXiv:2606.17665.

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

pith.paper-citation-record.v1
2606.17665 v1

Coverage vector

measured 23 of 23 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-06-26T22:18:31.534798Z

measured 24 of 24 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-10T06:31:04.303077+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-01T04:47:23.358801Z

measured 1 of 1 external citation measurements

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

Source: pith, observed 2026-08-05T02:28:24.338817Z

Reference resolution

23 of 23 outbound references displayed

verified exact4
verified fuzzy0
unresolved19
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

0
pith, observed 2026-08-05T02:28:24.338817Z

Outbound references

Observation 57b4fb6c-e2d9-46c8-a678-c80085ddf364 · outbound

This paper cites M., and Telgarsky, M.

Non-asymptotic Tail Bounds for the Kostlan--Shub--Smale Field: Tensor PCA and Spherical $k$-Spin Complexity M., and Telgarsky, M

Reference 1

Resolution: unresolved; no resolver link, observed 2026-06-26T22:18:31.534798Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 6b951df3-69aa-4447-8259-fae2389f13f0 · outbound

This paper cites W., Guionnet, A., and Zeitouni, O.

Non-asymptotic Tail Bounds for the Kostlan--Shub--Smale Field: Tensor PCA and Spherical $k$-Spin Complexity W., Guionnet, A., and Zeitouni, O

Reference 2

Resolution: unresolved; no resolver link, observed 2026-06-26T22:18:31.534798Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation a4fef5c9-efbd-487f-9732-89d95b7d4c29 · outbound

This paper cites an unresolved cited work.

Non-asymptotic Tail Bounds for the Kostlan--Shub--Smale Field: Tensor PCA and Spherical $k$-Spin Complexity Unresolved cited work

Reference 3

Resolution: unresolved; no resolver link, observed 2026-06-26T22:18:31.534798Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation a2004339-5658-494f-8638-1c3b87a62932 · outbound

This paper cites an unresolved cited work.

Non-asymptotic Tail Bounds for the Kostlan--Shub--Smale Field: Tensor PCA and Spherical $k$-Spin Complexity Unresolved cited work

Reference 4

Resolution: verified exact; arxiv_id, observed 2026-07-03T23:29:02.171662Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation e7c9a301-5da3-4b0b-8557-bd584688b86f · outbound

This paper cites and Wschebor, M.

Non-asymptotic Tail Bounds for the Kostlan--Shub--Smale Field: Tensor PCA and Spherical $k$-Spin Complexity and Wschebor, M

Reference 5

Resolution: unresolved; no resolver link, observed 2026-06-26T22:18:31.534798Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 2ed89cf4-8e26-460c-a4d9-4364b265a3f5 · outbound

This paper cites an unresolved cited work.

Non-asymptotic Tail Bounds for the Kostlan--Shub--Smale Field: Tensor PCA and Spherical $k$-Spin Complexity Unresolved cited work

Reference 6

Resolution: unresolved; no resolver link, observed 2026-06-26T22:18:31.534798Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation c3e55cda-81c2-4082-9f82-d20b6e4e074a · outbound

This paper cites an unresolved cited work.

Non-asymptotic Tail Bounds for the Kostlan--Shub--Smale Field: Tensor PCA and Spherical $k$-Spin Complexity Unresolved cited work

Reference 7

Resolution: unresolved; no resolver link, observed 2026-06-26T22:18:31.534798Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation e0e3845d-f8e4-4d0a-9266-1a7827cd882a · outbound

This paper cites Langevin dynamics for high-dimensional optimization: the case of multi-spiked tensor PCA.

Non-asymptotic Tail Bounds for the Kostlan--Shub--Smale Field: Tensor PCA and Spherical $k$-Spin Complexity Langevin dynamics for high-dimensional optimization: the case of multi-spiked tensor PCA

Reference 8

Resolution: verified exact; arxiv_id, observed 2026-07-03T23:29:02.165886Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 34ecaff7-4dc7-44c5-a168-2de4afb389c1 · outbound

This paper cites & Piccolo, V.

Non-asymptotic Tail Bounds for the Kostlan--Shub--Smale Field: Tensor PCA and Spherical $k$-Spin Complexity & Piccolo, V

Reference 9

Resolution: verified exact; arxiv_id, observed 2026-07-03T23:29:02.168987Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 8f5eebb5-c760-445c-b9ba-a26020cf451c · outbound

This paper cites an unresolved cited work.

Non-asymptotic Tail Bounds for the Kostlan--Shub--Smale Field: Tensor PCA and Spherical $k$-Spin Complexity Unresolved cited work

Reference 10

Resolution: unresolved; no resolver link, observed 2026-06-26T22:18:31.534798Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 22b3e312-4f54-4d44-9c40-b993ae768674 · outbound

This paper cites an unresolved cited work.

Non-asymptotic Tail Bounds for the Kostlan--Shub--Smale Field: Tensor PCA and Spherical $k$-Spin Complexity Unresolved cited work

Reference 11

Resolution: unresolved; no resolver link, observed 2026-06-26T22:18:31.534798Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 66a20d50-08cc-4cc4-b774-c94357c31491 · outbound

This paper cites and Husson, J.

Non-asymptotic Tail Bounds for the Kostlan--Shub--Smale Field: Tensor PCA and Spherical $k$-Spin Complexity and Husson, J

Reference 12

Resolution: unresolved; no resolver link, observed 2026-06-26T22:18:31.534798Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 5bf5770c-2ad1-4eef-8dac-539c5a20cc01 · outbound

This paper cites and Ma\" da, M.

Non-asymptotic Tail Bounds for the Kostlan--Shub--Smale Field: Tensor PCA and Spherical $k$-Spin Complexity and Ma\" da, M

Reference 13

Resolution: unresolved; no resolver link, observed 2026-06-26T22:18:31.534798Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 05bc7617-263b-4cdf-ac0d-31ae755d58fd · outbound

This paper cites an unresolved cited work.

Non-asymptotic Tail Bounds for the Kostlan--Shub--Smale Field: Tensor PCA and Spherical $k$-Spin Complexity Unresolved cited work

Reference 14

Resolution: unresolved; no resolver link, observed 2026-06-26T22:18:31.534798Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 43045b61-7c04-4358-b56e-603d0c29e3da · outbound

This paper cites an unresolved cited work.

Non-asymptotic Tail Bounds for the Kostlan--Shub--Smale Field: Tensor PCA and Spherical $k$-Spin Complexity Unresolved cited work

Reference 15

Resolution: unresolved; no resolver link, observed 2026-06-26T22:18:31.534798Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 13386598-b0e0-456c-9ad4-9ecf7651f50c · outbound

This paper cites an unresolved cited work.

Non-asymptotic Tail Bounds for the Kostlan--Shub--Smale Field: Tensor PCA and Spherical $k$-Spin Complexity Unresolved cited work

Reference 16

Resolution: unresolved; no resolver link, observed 2026-06-26T22:18:31.534798Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation a72b5b75-d0bb-446f-811e-3233e2d3148d · outbound

This paper cites an unresolved cited work.

Non-asymptotic Tail Bounds for the Kostlan--Shub--Smale Field: Tensor PCA and Spherical $k$-Spin Complexity Unresolved cited work

Reference 17

Resolution: unresolved; no resolver link, observed 2026-06-26T22:18:31.534798Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 5b924c89-5a87-4ad9-bac6-f9641ae914f5 · outbound

This paper cites S., and Bandeira, A.

Non-asymptotic Tail Bounds for the Kostlan--Shub--Smale Field: Tensor PCA and Spherical $k$-Spin Complexity S., and Bandeira, A

Reference 18

Resolution: unresolved; no resolver link, observed 2026-06-26T22:18:31.534798Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation e307c922-754e-4636-a7b4-4ac1aa2e4522 · outbound

This paper cites Topological complexity of spiked random polynomials and finite-rank spherical integrals.

Non-asymptotic Tail Bounds for the Kostlan--Shub--Smale Field: Tensor PCA and Spherical $k$-Spin Complexity Topological complexity of spiked random polynomials and finite-rank spherical integrals

Reference 19

Resolution: verified exact; arxiv_id, observed 2026-07-03T23:29:02.174458Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 3a6ed419-622d-4e00-9854-16180d28b569 · outbound

This paper cites and Montanari, A.

Non-asymptotic Tail Bounds for the Kostlan--Shub--Smale Field: Tensor PCA and Spherical $k$-Spin Complexity and Montanari, A

Reference 20

Resolution: unresolved; no resolver link, observed 2026-06-26T22:18:31.534798Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation dfc1edd6-3985-4c69-9152-1d97a47f4cff · outbound

This paper cites and Smale, S.

Non-asymptotic Tail Bounds for the Kostlan--Shub--Smale Field: Tensor PCA and Spherical $k$-Spin Complexity and Smale, S

Reference 21

Resolution: unresolved; no resolver link, observed 2026-06-26T22:18:31.534798Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 3916fc99-9f6a-4335-b6ac-601c7ace57b4 · outbound

This paper cites an unresolved cited work.

Non-asymptotic Tail Bounds for the Kostlan--Shub--Smale Field: Tensor PCA and Spherical $k$-Spin Complexity Unresolved cited work

Reference 22

Resolution: unresolved; no resolver link, observed 2026-06-26T22:18:31.534798Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation b474a091-4507-4912-a5e9-e0482966917b · outbound

This paper cites an unresolved cited work.

Non-asymptotic Tail Bounds for the Kostlan--Shub--Smale Field: Tensor PCA and Spherical $k$-Spin Complexity Unresolved cited work

Reference 23

Resolution: unresolved; no resolver link, observed 2026-06-26T22:18:31.534798Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Pith citing papers

Observation 22d1a031-a1a1-4bae-a4fa-b9e0c381c4fc · inbound

Regularized Bulk Universality versus Bounded-Disorder Nonuniversality for Annealed Complexity of Spherical $p$-Spin Landscapes cites this paper.

Regularized Bulk Universality versus Bounded-Disorder Nonuniversality for Annealed Complexity of Spherical $p$-Spin Landscapes Non-asymptotic Tail Bounds for the Kostlan--Shub--Smale Field: Tensor PCA and Spherical $k$-Spin Complexity

Reference 6

Resolution: verified exact; local_arxiv, observed 2026-08-01T04:49:19.798985Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.