Pith Number

pith:UCE2R3GP

pith:2012:UCE2R3GPUBY3JYNSN2HLEZOXQI

not attested not anchored not stored refs pending

Absolute continuity and convergence of densities for random vectors on Wiener chaos

David Nualart, Guillaume Poly (LAMA), Ivan Nourdin (IECL)

arxiv:1207.5115 v2 · 2012-07-21 · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{UCE2R3GPUBY3JYNSN2HLEZOXQI}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more

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	2026-05-18T03:34:59.288557Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a089a8eccfa071b4e1b26e8eb265d78215497245d5d58ca1a31f488582128af5

Aliases

arxiv: 1207.5115 · arxiv_version: 1207.5115v2 · doi: 10.48550/arxiv.1207.5115 · pith_short_12: UCE2R3GPUBY3 · pith_short_16: UCE2R3GPUBY3JYNS · pith_short_8: UCE2R3GP

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/UCE2R3GPUBY3JYNSN2HLEZOXQI \
  | 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: a089a8eccfa071b4e1b26e8eb265d78215497245d5d58ca1a31f488582128af5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6d9c668f68f837598a259ab6aee5faa6184d77ab4bded948c062414da244b51e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2012-07-21T10:20:25Z",
    "title_canon_sha256": "141939f8149fb94be8447605f115ffcd2536f6637f6398364a164394c5febdb7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1207.5115",
    "kind": "arxiv",
    "version": 2
  }
}