Pith Number

pith:YYDMUCPN

pith:2026:YYDMUCPNMNIMFAYCENKXPUOQAM

not attested not anchored not stored refs pending

Noncentral limit results for spatiotemporal random fields on manifolds and beyond

M.D. Ruiz-Medina

Noncentral limit theorems apply to suitably scaled functionals of long-range dependent Gaussian subordinated spatiotemporal random fields with Hermite rank two on compact manifolds and convex sets.

arxiv:2602.11307 v3 · 2026-02-11 · math.PR

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{YYDMUCPNMNIMFAYCENKXPUOQAM}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Claims

C1strongest claim

This paper derives noncentral limit results (NCLTs) for suitable scaling of functionals of spatially homogeneous and isotropic, and stationary in time, LRD Gaussian subordinated Spatiotemporal Random Fields (STRFs) with Hermite rank equal to two.

C2weakest assumption

The random fields must be spatially homogeneous and isotropic, stationary in time, long-range dependent, and possess Hermite rank exactly equal to two so that reduction theorems map the problem into the second Wiener chaos with the stated spectral properties.

C3one line summary

Noncentral limit theorems are derived for functionals of LRD Gaussian subordinated STRFs with Hermite rank two on two-point homogeneous spaces and compact convex sets, obtained in the second Wiener chaos via reduction theorems and spectral analysis.

Formal links

2 machine-checked theorem links

Receipt and verification

First computed	2026-05-29T01:05:04.409566Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c606ca09ed6350c28302235577d1d0032e31c750e310b808e0501d986091b01f

Aliases

arxiv: 2602.11307 · arxiv_version: 2602.11307v3 · doi: 10.48550/arxiv.2602.11307 · pith_short_12: YYDMUCPNMNIM · pith_short_16: YYDMUCPNMNIMFAYC · pith_short_8: YYDMUCPN

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/YYDMUCPNMNIMFAYCENKXPUOQAM \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: c606ca09ed6350c28302235577d1d0032e31c750e310b808e0501d986091b01f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "449d293123d03ce3e4289b56cdcf6d40f57f576d6770914052a12f2e87450c78",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2026-02-11T19:31:22Z",
    "title_canon_sha256": "de7921eff95adac612a91699a5832731367da6fe6604b91958b9e5b66a8cce94"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2602.11307",
    "kind": "arxiv",
    "version": 3
  }
}