Pith Number

pith:4YXDB635

pith:2014:4YXDB635FY42GFJ7IDKH3BIPZP

not attested not anchored not stored refs pending

Excursion probability of Gaussian random fields on sphere

Dan Cheng, Yimin Xiao

arxiv:1401.5498 v2 · 2014-01-21 · 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{4YXDB635FY42GFJ7IDKH3BIPZP}

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	2026-05-18T01:20:50.744300Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e62e30fb7d2e39a3153f40d47d850fcbf3fd853aa3d33a90666c66bf1ca016bd

Aliases

arxiv: 1401.5498 · arxiv_version: 1401.5498v2 · doi: 10.48550/arxiv.1401.5498 · pith_short_12: 4YXDB635FY42 · pith_short_16: 4YXDB635FY42GFJ7 · pith_short_8: 4YXDB635

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/4YXDB635FY42GFJ7IDKH3BIPZP \
  | 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: e62e30fb7d2e39a3153f40d47d850fcbf3fd853aa3d33a90666c66bf1ca016bd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4e904d8ddb5edc10717d8d3559e6315babfd98908c727352a8eac2a00b00b938",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2014-01-21T21:40:54Z",
    "title_canon_sha256": "8406a4ef7d6acfabfe9c5fbd248822ff82dde8a41ca5eb3e72892858273f6b65"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1401.5498",
    "kind": "arxiv",
    "version": 2
  }
}