Pith Number

pith:4ZSIJTXV

pith:2012:4ZSIJTXVB5PDOEHQTQMGP52E7W

not attested not anchored not stored refs pending

On the conditional distributions and the efficient simulations of exponential integrals of Gaussian random fields

Gongjun Xu, Jingchen Liu

arxiv:1204.5546 v3 · 2012-04-25 · 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{4ZSIJTXVB5PDOEHQTQMGP52E7W}

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	2026-05-18T02:51:42.598463Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e66484cef50f5e3710f09c1867f744fd82305a0ac54d08dca35b91f6beb4e6c4

Aliases

arxiv: 1204.5546 · arxiv_version: 1204.5546v3 · doi: 10.48550/arxiv.1204.5546 · pith_short_12: 4ZSIJTXVB5PD · pith_short_16: 4ZSIJTXVB5PDOEHQ · pith_short_8: 4ZSIJTXV

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/4ZSIJTXVB5PDOEHQTQMGP52E7W \
  | 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: e66484cef50f5e3710f09c1867f744fd82305a0ac54d08dca35b91f6beb4e6c4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "389bb6a43a6c41897f4e531375629ce92e47458ff72f4b4cba3ed3158890dc8a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2012-04-25T02:45:00Z",
    "title_canon_sha256": "0916da4a12814410a2509128d65712e98fa63e9a93a87e171d357b2e85da4daa"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1204.5546",
    "kind": "arxiv",
    "version": 3
  }
}