Pith Number

pith:APRZUUDV

pith:2012:APRZUUDV4O56ECUAK2DQLUBXJU

not attested not anchored not stored refs pending

Approximation of a stochastic wave equation in dimension three, with application to a support theorem in H\"{o}lder norm

Francisco J. Delgado-Vences, Marta Sanz-Sol\'e

arxiv:1203.1188 v6 · 2012-03-06 · 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{APRZUUDV4O56ECUAK2DQLUBXJU}

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	2026-05-18T01:09:28.660514Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

03e39a5075e3bbe20a80568705d0374d11b34ce12f452bc8704453d2565ba43a

Aliases

arxiv: 1203.1188 · arxiv_version: 1203.1188v6 · doi: 10.48550/arxiv.1203.1188 · pith_short_12: APRZUUDV4O56 · pith_short_16: APRZUUDV4O56ECUA · pith_short_8: APRZUUDV

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/APRZUUDV4O56ECUAK2DQLUBXJU \
  | 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: 03e39a5075e3bbe20a80568705d0374d11b34ce12f452bc8704453d2565ba43a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "83911c5f3cabd07446aeb12ae20690c218eb53ed42d691b1faa563b0dd5b65d3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2012-03-06T13:03:39Z",
    "title_canon_sha256": "6827ffae3d3354f907759c997b6c55cfdb475852d0b71a7e0b81a56303d47742"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1203.1188",
    "kind": "arxiv",
    "version": 6
  }
}