Pith Number

pith:GZS75AYY

pith:2018:GZS75AYYOR3FZSYJQRH7K3PX4L

not attested not anchored not stored refs pending

Existence of density for the stochastic wave equation with space-time homogeneous Gaussian noise

Jian Song, Llu\'is Quer-Sardanyons, Raluca M. Balan

arxiv:1805.06936 v2 · 2018-05-17 · 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{GZS75AYYOR3FZSYJQRH7K3PX4L}

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	2026-05-17T23:57:07.551680Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3665fe831874765ccb09844ff56df7e2ed29d318b79ff02d85aa609d76a21163

Aliases

arxiv: 1805.06936 · arxiv_version: 1805.06936v2 · doi: 10.48550/arxiv.1805.06936 · pith_short_12: GZS75AYYOR3F · pith_short_16: GZS75AYYOR3FZSYJ · pith_short_8: GZS75AYY

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/GZS75AYYOR3FZSYJQRH7K3PX4L \
  | 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: 3665fe831874765ccb09844ff56df7e2ed29d318b79ff02d85aa609d76a21163

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8c21a7872a47ab79d6c5c4fc151ae1c30d7d90950b261e80eda5d9fcee166501",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2018-05-17T19:13:09Z",
    "title_canon_sha256": "b38f7e4e93a3bced26906c8cdf62084d66dea4e6af895dac83023abaf6c630c4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1805.06936",
    "kind": "arxiv",
    "version": 2
  }
}