Pith Number

pith:KFCRSFB7

pith:2011:KFCRSFB7JNIPXYSGS6QJ6TWAK5

not attested not anchored not stored refs pending

Some Asymptotic Results of Gaussian Random Fields with Varying Mean Functions and the Associated Processes

Gongjun Xu, Jingchen Liu

arxiv:1104.1801 v2 · 2011-04-10 · math.ST · math.PR · stat.TH

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{KFCRSFB7JNIPXYSGS6QJ6TWAK5}

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.

Receipt and verification

First computed	2026-05-18T04:07:07.906876Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

514519143f4b50fbe24697a09f4ec0575197ec9af30ceee809a92df7fa798568

Aliases

arxiv: 1104.1801 · arxiv_version: 1104.1801v2 · doi: 10.48550/arxiv.1104.1801 · pith_short_12: KFCRSFB7JNIP · pith_short_16: KFCRSFB7JNIPXYSG · pith_short_8: KFCRSFB7

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/KFCRSFB7JNIPXYSGS6QJ6TWAK5 \
  | 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: 514519143f4b50fbe24697a09f4ec0575197ec9af30ceee809a92df7fa798568

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "84d971e1f8412b786563d3fb6b7618e75dc7d6292e4fa701f039dc2916227361",
    "cross_cats_sorted": [
      "math.PR",
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.ST",
    "submitted_at": "2011-04-10T20:33:51Z",
    "title_canon_sha256": "9328b0344f8fc226ab5bc02fed5d8c51720e4ee2fb00b216dfcb2340686e49eb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1104.1801",
    "kind": "arxiv",
    "version": 2
  }
}