Pith Number

pith:WRBGEJ2F

pith:2015:WRBGEJ2FLRYZUHP2IBCTFIEJ5F

not attested not anchored not stored refs pending

A class of growth models rescaling to KPZ

Jeremy Quastel, Martin Hairer

arxiv:1512.07845 v1 · 2015-12-24 · math-ph · math.AP · math.MP · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{WRBGEJ2FLRYZUHP2IBCTFIEJ5F}

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	2026-05-18T01:23:47.664478Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b4426227455c719a1dfa404532a089e94cab013b61bd5011ba1767ab32445c50

Aliases

arxiv: 1512.07845 · arxiv_version: 1512.07845v1 · doi: 10.48550/arxiv.1512.07845 · pith_short_12: WRBGEJ2FLRYZ · pith_short_16: WRBGEJ2FLRYZUHP2 · pith_short_8: WRBGEJ2F

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/WRBGEJ2FLRYZUHP2IBCTFIEJ5F \
  | 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: b4426227455c719a1dfa404532a089e94cab013b61bd5011ba1767ab32445c50

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c1b503c4df7bd9da428660fd16216b9f0bd31616288788e12848da258d0e645c",
    "cross_cats_sorted": [
      "math.AP",
      "math.MP",
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2015-12-24T16:08:44Z",
    "title_canon_sha256": "bbd41ba045d6d45fea6f565a7c2452bb7528310311f92057b97031fad09cbf11"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.07845",
    "kind": "arxiv",
    "version": 1
  }
}