Pith Number

pith:AXZNGUEX

pith:2009:AXZNGUEXAPDFWJGL4L6MYAQ72N

not attested not anchored not stored refs pending

Scaling exponent for the Hopf-Cole solution of KPZ/Stochastic Burgers

Jeremy Quastel, Marton Balazs, Timo Seppalainen

arxiv:0909.4816 v1 · 2009-09-25 · math.PR · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{AXZNGUEXAPDFWJGL4L6MYAQ72N}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more

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	2026-05-18T04:10:47.247249Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

05f2d3509703c65b24cbe2fccc021fd34bf5302862933ca06c2afa8e069f7586

Aliases

arxiv: 0909.4816 · arxiv_version: 0909.4816v1 · doi: 10.48550/arxiv.0909.4816 · pith_short_12: AXZNGUEXAPDF · pith_short_16: AXZNGUEXAPDFWJGL · pith_short_8: AXZNGUEX

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/AXZNGUEXAPDFWJGL4L6MYAQ72N \
  | 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: 05f2d3509703c65b24cbe2fccc021fd34bf5302862933ca06c2afa8e069f7586

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e157bb32505abe8196aa1804255ab51351169d1cea7d4688729f2a4d1f64988c",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2009-09-25T22:55:21Z",
    "title_canon_sha256": "5e8e15b137f0d5beef94a3d4667d0288300d50c2fa31e5e1e5dba6089a61a74e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0909.4816",
    "kind": "arxiv",
    "version": 1
  }
}