Pith Number

pith:KIEXNEXY

pith:2015:KIEXNEXYDCHKF2DARJHNHXUPMX

not attested not anchored not stored refs pending

A central limit theorem for the KPZ equation

Hao Shen, Martin Hairer

arxiv:1507.01237 v2 · 2015-07-05 · math.PR · math-ph · math.AP · 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{KIEXNEXYDCHKF2DARJHNHXUPMX}

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	2026-05-18T01:01:45.043389Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

52097692f8188ea2e8608a4ed3de8f65e7c277fd997b6556e21e46fa8c776076

Aliases

arxiv: 1507.01237 · arxiv_version: 1507.01237v2 · doi: 10.48550/arxiv.1507.01237 · pith_short_12: KIEXNEXYDCHK · pith_short_16: KIEXNEXYDCHKF2DA · pith_short_8: KIEXNEXY

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/KIEXNEXYDCHKF2DARJHNHXUPMX \
  | 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: 52097692f8188ea2e8608a4ed3de8f65e7c277fd997b6556e21e46fa8c776076

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6a89199552806a1b83567ca0bed0d4235b86d251fa6ef69ed116f31ab57ffec6",
    "cross_cats_sorted": [
      "math-ph",
      "math.AP",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2015-07-05T16:25:49Z",
    "title_canon_sha256": "9725209a533bb52c7d5c8aa7785efb5731761df41140754b799c38adc4664f6e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1507.01237",
    "kind": "arxiv",
    "version": 2
  }
}