Pith Number

pith:JE2TK5WT

pith:2011:JE2TK5WTGE3QANRPEKKFFOK56H

not attested not anchored not stored refs pending

Stein's method, heat kernel, and linear functions on the orthogonal groups

Adrian R\"ollin, Jason Fulman

arxiv:1109.2975 v1 · 2011-09-14 · math.PR · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{JE2TK5WTGE3QANRPEKKFFOK56H}

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	2026-05-18T04:13:06.573103Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

49353576d3313700362f229452b95df1e56ee3fbcc6cbe27e5540fa608abdeeb

Aliases

arxiv: 1109.2975 · arxiv_version: 1109.2975v1 · doi: 10.48550/arxiv.1109.2975 · pith_short_12: JE2TK5WTGE3Q · pith_short_16: JE2TK5WTGE3QANRP · pith_short_8: JE2TK5WT

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/JE2TK5WTGE3QANRPEKKFFOK56H \
  | 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: 49353576d3313700362f229452b95df1e56ee3fbcc6cbe27e5540fa608abdeeb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2cb0aac627465754faf8360607ab06c40145102cf3667f1a4eecdc43a7b0cc10",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2011-09-14T02:26:48Z",
    "title_canon_sha256": "981ce4640d2d16648ad14df648f6ce5b2d5c7c89b754ebf0ee9a2126a1e30d32"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1109.2975",
    "kind": "arxiv",
    "version": 1
  }
}