Pith Number

pith:EXE4H6GB

pith:2011:EXE4H6GBLWKGCEYT2U2QXCK4WV

not attested not anchored not stored refs pending

Brownian Gibbs property for Airy line ensembles

Alan Hammond, Ivan Corwin

arxiv:1108.2291 v2 · 2011-08-10 · 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{EXE4H6GBLWKGCEYT2U2QXCK4WV}

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	2026-05-18T02:21:42.280113Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

25c9c3f8c15d94611313d5350b895cb56a673a045b7ae39c075cc0c93d2f503a

Aliases

arxiv: 1108.2291 · arxiv_version: 1108.2291v2 · doi: 10.48550/arxiv.1108.2291 · pith_short_12: EXE4H6GBLWKG · pith_short_16: EXE4H6GBLWKGCEYT · pith_short_8: EXE4H6GB

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/EXE4H6GBLWKGCEYT2U2QXCK4WV \
  | 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: 25c9c3f8c15d94611313d5350b895cb56a673a045b7ae39c075cc0c93d2f503a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "867655460eae83b781b9530ab3de8802eb9b910e4a0fcc873e7a376f8bd95d56",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2011-08-10T21:26:21Z",
    "title_canon_sha256": "7843927e1109867ffb4260cf25a6555f9d0e7522652ad761018d9f0cf94d1176"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1108.2291",
    "kind": "arxiv",
    "version": 2
  }
}