Pith Number

pith:2OPVUHYC

pith:2012:2OPVUHYC3HRTN3X5B64TYEUKY2

not attested not anchored not stored refs pending

The mean Euler characteristic and excursion probability of Gaussian random fields with stationary increments

Dan Cheng, Yimin Xiao

arxiv:1211.6693 v3 · 2012-11-28 · math.PR · math.ST · 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{2OPVUHYC3HRTN3X5B64TYEUKY2}

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	2026-05-18T01:15:39.237728Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d39f5a1f02d9e336eefd0fb93c128ac6a8f1ea91c9727f1ad37311008a48f2b3

Aliases

arxiv: 1211.6693 · arxiv_version: 1211.6693v3 · doi: 10.48550/arxiv.1211.6693 · pith_short_12: 2OPVUHYC3HRT · pith_short_16: 2OPVUHYC3HRTN3X5 · pith_short_8: 2OPVUHYC

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/2OPVUHYC3HRTN3X5B64TYEUKY2 \
  | 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: d39f5a1f02d9e336eefd0fb93c128ac6a8f1ea91c9727f1ad37311008a48f2b3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a088c45d0f63ffea4b4d2e74ce4ae07a0df4afe4e1b12247c0ca5bc48e95851d",
    "cross_cats_sorted": [
      "math.ST",
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2012-11-28T18:21:43Z",
    "title_canon_sha256": "93a8920d37bc209661d6b295cafa83e1d1d73deb2e4b5e83d426c7bcc9439732"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1211.6693",
    "kind": "arxiv",
    "version": 3
  }
}