Pith Number

pith:LXXZSIIJ

pith:2007:LXXZSIIJFYBPKAW3Y6AVNGVC3Q

not attested not anchored not stored refs pending

Regularity of the density for the stochastic heat equation

Carl Mueller, David Nualart

arxiv:0709.2663 v1 · 2007-09-17 · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{LXXZSIIJFYBPKAW3Y6AVNGVC3Q}

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

Invariant measures for the open KPZ equation: the Gaussian case

Receipt and verification

First computed	2026-05-18T04:28:30.265278Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5def9921092e02f502dbc781569aa2dc37be804cdd1502df20814b5f07b857e7

Aliases

arxiv: 0709.2663 · arxiv_version: 0709.2663v1 · doi: 10.48550/arxiv.0709.2663 · pith_short_12: LXXZSIIJFYBP · pith_short_16: LXXZSIIJFYBPKAW3 · pith_short_8: LXXZSIIJ

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/LXXZSIIJFYBPKAW3Y6AVNGVC3Q \
  | 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: 5def9921092e02f502dbc781569aa2dc37be804cdd1502df20814b5f07b857e7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "573211d3cf1dd8816636cd2a26956166feef24ba8fd949405a41b0965cb49b3e",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.PR",
    "submitted_at": "2007-09-17T16:11:18Z",
    "title_canon_sha256": "bc3511746e357fb8daf7630f5d8cdaa1fd48c9aa1b1d2c2463491d008496e7d7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0709.2663",
    "kind": "arxiv",
    "version": 1
  }
}