Pith Number

pith:4VNMEJM7

pith:2013:4VNMEJM7ZQEOZC24SXGGNTSDET

not attested not anchored not stored refs pending

Convergence of densities of some functionals of Gaussian processes

David Nualart, Fei Lu, Yaozhong Hu

arxiv:1302.6962 v2 · 2013-02-27 · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4VNMEJM7ZQEOZC24SXGGNTSDET}

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

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	2026-05-18T03:14:40.912500Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e55ac2259fcc08ec8b5c95cc66ce4324f93452c232b9cdd27d4395c95cfadd75

Aliases

arxiv: 1302.6962 · arxiv_version: 1302.6962v2 · doi: 10.48550/arxiv.1302.6962 · pith_short_12: 4VNMEJM7ZQEO · pith_short_16: 4VNMEJM7ZQEOZC24 · pith_short_8: 4VNMEJM7

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/4VNMEJM7ZQEOZC24SXGGNTSDET \
  | 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: e55ac2259fcc08ec8b5c95cc66ce4324f93452c232b9cdd27d4395c95cfadd75

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "12ecb43bb75fb9269f83b718e4fcc7101c43a39d1b508bc69ea9586b803e8eef",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2013-02-27T19:16:49Z",
    "title_canon_sha256": "c823bcd0ac94aaca6b57270a2609f0f570ba4043b0f304e05999a3ac89d4bf37"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1302.6962",
    "kind": "arxiv",
    "version": 2
  }
}