Pith Number

pith:GUI5YH4F

pith:2012:GUI5YH4FDCW6BLKKNBQMZJ6AEB

not attested not anchored not stored refs pending

Tools for Malliavin calculus in UMD Banach spaces

Mark Veraar, Matthijs Pronk

arxiv:1204.2946 v2 · 2012-04-13 · math.PR · math.FA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GUI5YH4FDCW6BLKKNBQMZJ6AEB}

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	2026-05-18T03:25:14.726470Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3511dc1f8518ade0ad4a6860cca7c02069384a5f939c37c8856a0396e022c730

Aliases

arxiv: 1204.2946 · arxiv_version: 1204.2946v2 · doi: 10.48550/arxiv.1204.2946 · pith_short_12: GUI5YH4FDCW6 · pith_short_16: GUI5YH4FDCW6BLKK · pith_short_8: GUI5YH4F

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/GUI5YH4FDCW6BLKKNBQMZJ6AEB \
  | 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: 3511dc1f8518ade0ad4a6860cca7c02069384a5f939c37c8856a0396e022c730

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0a28cb10f2066cbf1b5af54172b13f45fd8d9dae80b62decb06a258ee757847b",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2012-04-13T10:39:54Z",
    "title_canon_sha256": "c713202f2c93d9f8e24dd67a5dfd9d46d86c618097019f84049e538792fd83d2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1204.2946",
    "kind": "arxiv",
    "version": 2
  }
}