Pith Number

pith:HHLDQ47S

pith:2018:HHLDQ47SY4DBXVN4O23BXCF5GP

not attested not anchored not stored refs pending

Fluctuations of the solutions to the KPZ equation in dimensions three and higher

Alexander Dunlap, Lenya Ryzhik, Ofer Zeitouni, Yu Gu

arxiv:1812.05768 v3 · 2018-12-14 · 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{HHLDQ47SY4DBXVN4O23BXCF5GP}

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	2026-05-17T23:39:33.328752Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

39d63873f2c7061bd5bc76b61b88bd33fc29e7c0049114d46573d4a422383ffa

Aliases

arxiv: 1812.05768 · arxiv_version: 1812.05768v3 · doi: 10.48550/arxiv.1812.05768 · pith_short_12: HHLDQ47SY4DB · pith_short_16: HHLDQ47SY4DBXVN4 · pith_short_8: HHLDQ47S

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/HHLDQ47SY4DBXVN4O23BXCF5GP \
  | 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: 39d63873f2c7061bd5bc76b61b88bd33fc29e7c0049114d46573d4a422383ffa

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cd7b845030c6326a6708286214273a1e78665bbffe524450fb33e9eb420e00e2",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2018-12-14T03:20:41Z",
    "title_canon_sha256": "078012f0a08778dd8edbab8947b20208aa82ede6a9cc6b02bd9a9e1197e54aef"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1812.05768",
    "kind": "arxiv",
    "version": 3
  }
}