Pith. sign in
Pith Number

pith:QLUNZXHY

pith:2022:QLUNZXHYWZ3LNGZP2LCGCSP4UA
not attested not anchored not stored refs pending

KPZ fluctuations in the planar stochastic heat equation

Alejandro Ramirez, Balint Virag, Jeremy Quastel

arxiv:2210.13607 v3 · 2022-10-24 · math.PR · math-ph · math.AP · math.MP

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{QLUNZXHYWZ3LNGZP2LCGCSP4UA}

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.

Cited by

1 paper in Pith

Receipt and verification
First computed 2026-07-05T12:06:44.873909Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

82e8dcdcf8b676b69b2fd2c46149fca018cb859e39f8030a86ab7772a48f5dc0

Aliases

arxiv: 2210.13607 · arxiv_version: 2210.13607v3 · doi: 10.48550/arxiv.2210.13607 · pith_short_12: QLUNZXHYWZ3L · pith_short_16: QLUNZXHYWZ3LNGZP · pith_short_8: QLUNZXHY
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/QLUNZXHYWZ3LNGZP2LCGCSP4UA \
  | 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: 82e8dcdcf8b676b69b2fd2c46149fca018cb859e39f8030a86ab7772a48f5dc0
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "3454fc34aa9275495e7df10c73f0bf93b99a8b68dd596af124d8e1c4a8c8408b",
    "cross_cats_sorted": [
      "math-ph",
      "math.AP",
      "math.MP"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2022-10-24T21:16:17Z",
    "title_canon_sha256": "2986963d155b09b2c7a6453713815583e2e10b422258477c678d5ba07df1987d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2210.13607",
    "kind": "arxiv",
    "version": 3
  }
}