Pith Number

pith:4PWVWVDE

pith:2014:4PWVWVDEIAV3RJUKIKFQCEHJGH

not attested not anchored not stored refs pending

KPZ formula derived from Liouville heat kernel

Christophe Garban, Nathana\"el Berestycki, R\'emi Rhodes, Vincent Vargas

arxiv:1406.7280 v1 · 2014-06-27 · 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{4PWVWVDEIAV3RJUKIKFQCEHJGH}

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	2026-05-18T00:44:28.947626Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e3ed5b5464402bb8a68a428b0110e931fac368dc98995551ab34dea61d492211

Aliases

arxiv: 1406.7280 · arxiv_version: 1406.7280v1 · doi: 10.48550/arxiv.1406.7280 · pith_short_12: 4PWVWVDEIAV3 · pith_short_16: 4PWVWVDEIAV3RJUK · pith_short_8: 4PWVWVDE

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/4PWVWVDEIAV3RJUKIKFQCEHJGH \
  | 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: e3ed5b5464402bb8a68a428b0110e931fac368dc98995551ab34dea61d492211

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "57a3fee126337971a7333d42657575cc087cd9692579710aa8656d281b502c67",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2014-06-27T19:31:36Z",
    "title_canon_sha256": "d7f2d10542cfbee58161b6568f5bfa197644a0c0402f22bc8b64d798ddf412e4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1406.7280",
    "kind": "arxiv",
    "version": 1
  }
}