Pith Number

pith:CRAR3GNY

pith:2010:CRAR3GNYDZQUCEQ7RNRIOJ2G6U

not attested not anchored not stored refs pending

From the Pearcey to the Airy process

Mark Adler, Mattia Cafasso, Pierre van Moerbeke

arxiv:1009.0683 v1 · 2010-09-03 · math.PR · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{CRAR3GNYDZQUCEQ7RNRIOJ2G6U}

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	2026-05-18T03:21:45.911561Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

14411d99b81e6141121f8b62872746f52930b327499dcafff4f9fcd807f99c88

Aliases

arxiv: 1009.0683 · arxiv_version: 1009.0683v1 · doi: 10.48550/arxiv.1009.0683 · pith_short_12: CRAR3GNYDZQU · pith_short_16: CRAR3GNYDZQUCEQ7 · pith_short_8: CRAR3GNY

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/CRAR3GNYDZQUCEQ7RNRIOJ2G6U \
  | 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: 14411d99b81e6141121f8b62872746f52930b327499dcafff4f9fcd807f99c88

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d49457b736456a621e736ac7e358cc08d184cb8e5618299e681272fa29bd4cfa",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2010-09-03T14:34:09Z",
    "title_canon_sha256": "7242dccdbace715f612518c49020db3b111c5c7bfd2e8b27dc6b6812bc7312b2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1009.0683",
    "kind": "arxiv",
    "version": 1
  }
}