Pith Number

pith:7CGRGUJR

pith:2014:7CGRGUJRAA6IQV35PQ6NLLGMJO

not attested not anchored not stored refs pending

The determinant of the iterated Malliavin matrix and the density of a couple of multiple integrals

Ciprian Tudor (LPP), David Nualart

arxiv:1402.4607 v1 · 2014-02-19 · 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{7CGRGUJRAA6IQV35PQ6NLLGMJO}

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	2026-05-18T02:58:33.695504Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f88d135131003c88577d7c3cd5accc4b827970726d5dd00fc043bc7a18185e2d

Aliases

arxiv: 1402.4607 · arxiv_version: 1402.4607v1 · doi: 10.48550/arxiv.1402.4607 · pith_short_12: 7CGRGUJRAA6I · pith_short_16: 7CGRGUJRAA6IQV35 · pith_short_8: 7CGRGUJR

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/7CGRGUJRAA6IQV35PQ6NLLGMJO \
  | 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: f88d135131003c88577d7c3cd5accc4b827970726d5dd00fc043bc7a18185e2d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "04be41fa7c7f8612ce9eb30c6d303d4ee75e8703967a2a08bcc63f5267ce3b6c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2014-02-19T09:54:21Z",
    "title_canon_sha256": "23c1a1ac12980a1256eaff3e919a18ced519b237bb394f5a3c947fe822ab3e5c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1402.4607",
    "kind": "arxiv",
    "version": 1
  }
}