Pith Number

pith:ITLBTYY6

pith:2011:ITLBTYY6MVWDXQVFAFIRQDVS22

not attested not anchored not stored refs pending

Malliavin Calculus and Self Normalized Sums

Ciprian Tudor (LPP), Solesne Bourguin (SAMM)

arxiv:1107.0410 v1 · 2011-07-02 · 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{ITLBTYY6MVWDXQVFAFIRQDVS22}

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	2026-05-18T02:43:37.309574Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

44d619e31e656c3bc2a50151180eb2d68a500860d9150ee5701462e9aea3d771

Aliases

arxiv: 1107.0410 · arxiv_version: 1107.0410v1 · doi: 10.48550/arxiv.1107.0410 · pith_short_12: ITLBTYY6MVWD · pith_short_16: ITLBTYY6MVWDXQVF · pith_short_8: ITLBTYY6

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/ITLBTYY6MVWDXQVFAFIRQDVS22 \
  | 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: 44d619e31e656c3bc2a50151180eb2d68a500860d9150ee5701462e9aea3d771

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7f11ab91ed27a997867dbae3ad81e01fec170b678537de072b101c97819c8e25",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2011-07-02T20:27:38Z",
    "title_canon_sha256": "a8e19dc79ee39423a5439f30cdee32de13d34b17422f0827b1f6e98125bff859"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1107.0410",
    "kind": "arxiv",
    "version": 1
  }
}