Pith Number

pith:ZDUFFFO3

pith:2012:ZDUFFFO3EW2P3FP563VBBBMFM6

not attested not anchored not stored refs pending

The stochastic wave equation in high dimensions: Malliavin differentiability and absolute continuity

Andr\'e S\"u{\ss}, Marta Sanz-Sol\'e

arxiv:1209.0401 v2 · 2012-09-03 · 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{ZDUFFFO3EW2P3FP563VBBBMFM6}

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	2026-05-18T02:20:37.192792Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c8e85295db25b4fd95fdf6ea108585679b4be72a8a7bd622de39b82d2850a050

Aliases

arxiv: 1209.0401 · arxiv_version: 1209.0401v2 · doi: 10.48550/arxiv.1209.0401 · pith_short_12: ZDUFFFO3EW2P · pith_short_16: ZDUFFFO3EW2P3FP5 · pith_short_8: ZDUFFFO3

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/ZDUFFFO3EW2P3FP563VBBBMFM6 \
  | 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: c8e85295db25b4fd95fdf6ea108585679b4be72a8a7bd622de39b82d2850a050

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5484f07b796a7f61584cc938bbc549050048f65dd926ff520794718ddc6401ca",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2012-09-03T16:34:42Z",
    "title_canon_sha256": "863e4bff1003273cea14457e66805ed48e2adc6f1fecf8e193a30992e5bb0ee0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1209.0401",
    "kind": "arxiv",
    "version": 2
  }
}