Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-06-29T05:32:50.381010Z
Paper Citation Record · LEDGER
As of 5 August 2026, this Paper Citation Record lists 7 of 7 outbound references and 0 inbound Pith citation observations for arXiv:2605.29669.
A citation records a reference. It does not transfer a finding from one paper to another.
Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-06-29T05:32:50.381010Z
One-hop event checks from named stored sources.
Source: scholarly_work_events, retraction_status_cache, observed 2026-08-05T06:32:48.257954+00:00
Pith citing papers itemized under the disclosed page cap.
Source: paper_references, paper_reference_links
A source-named dated measurement, never combined with another source.
Source: cited_works
7 of 7 outbound references displayed
External citation measurements
No source-named external measurement is stored.
Observation fadd34ff-8c83-44fa-b1a0-c47396e9c94d · outbound
Eigen-Spike Emergence and Quadratic Equivalents for Conjugate Kernels on Nonlinearly Separable Data Unresolved cited work
Reference 1
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation d142abdc-c447-49f6-98f4-7d06843c91c4 · outbound
Eigen-Spike Emergence and Quadratic Equivalents for Conjugate Kernels on Nonlinearly Separable Data If{A n}are random matrices, we interpret ∥An∥op =o P(1)⇐ ⇒ ∥A n∥op P − →0
Reference 2
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 13467c44-1fd3-4785-a4bf-716e57001134 · outbound
Eigen-Spike Emergence and Quadratic Equivalents for Conjugate Kernels on Nonlinearly Separable Data Write logQ m = log Γ(m+ 1 2)−log Γ(m) − 1 2 logm
Reference 3
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation f92e1ae4-4afe-4f5a-adf6-1d7b8ba52fc5 · outbound
Eigen-Spike Emergence and Quadratic Equivalents for Conjugate Kernels on Nonlinearly Separable Data The logarithmic terms simplify to mlog 1 + 1 2m − 1 2
Reference 4
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation b2511ddc-6cdb-4b97-a56a-fcb0cf74710b · outbound
Eigen-Spike Emergence and Quadratic Equivalents for Conjugate Kernels on Nonlinearly Separable Data Further, the difference− 1 360(m+ 1 2 )3 + 1 360m3 isO(m −4) (since the leading term cancels and the remainder begins at orderm −4)
Reference 5
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 35262b4b-5933-43e1-862e-b60d96c8ce5e · outbound
Eigen-Spike Emergence and Quadratic Equivalents for Conjugate Kernels on Nonlinearly Separable Data The matricesYΠ s andY ♯ s have operator normO P(1):Y ♯ 0 Πs is bounded by Proposition 31, and the quadratic term has norm |cσ|θ2 0 2 ∥a⊙2∥ ∥Πsq∥=O P(1) by Lemmas 55 and 56
Reference 6
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 1b120ecc-92c2-41bd-b6e8-de4207d37d8b · outbound
Eigen-Spike Emergence and Quadratic Equivalents for Conjugate Kernels on Nonlinearly Separable Data Define its Hermite coefficients ζ(i) k :=E[σ (i)(ξ)hk(ξ)], k∈N, 82 and the diagonal matricesD k := diag(ζ(1) k ,
Reference 7
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
No inbound Pith citation observations are available.