Pith Number

pith:SZ56K6U6

pith:2011:SZ56K6U65XAK2M2QNQ6S67FCPH

not attested not anchored not stored refs pending

Malliavin calculus for fractional heat equation

Aur\'elien Deya (IECN), INRIA Lorraine / IECN), Samy Tindel (IECN

arxiv:1109.0422 v2 · 2011-09-02 · 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{SZ56K6U65XAK2M2QNQ6S67FCPH}

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	2026-05-18T03:08:14.769447Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

967be57a9eedc0ad33506c3d2f7ca279ee310edd186d1dcbc63a0a38af71a089

Aliases

arxiv: 1109.0422 · arxiv_version: 1109.0422v2 · doi: 10.48550/arxiv.1109.0422 · pith_short_12: SZ56K6U65XAK · pith_short_16: SZ56K6U65XAK2M2Q · pith_short_8: SZ56K6U6

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/SZ56K6U65XAK2M2QNQ6S67FCPH \
  | 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: 967be57a9eedc0ad33506c3d2f7ca279ee310edd186d1dcbc63a0a38af71a089

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "88bed549674c6d9b9b7e7eda5beeb48d7583e85192418ea83d1a14c55bf466c0",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2011-09-02T12:10:31Z",
    "title_canon_sha256": "6a46dd32039677de472e37abd2c63d4d7919466bcc7cc37df6342b869c34bbc8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1109.0422",
    "kind": "arxiv",
    "version": 2
  }
}