Pith Number

pith:RNXPN4WA

pith:2011:RNXPN4WAE3Q3DLYKMSAXLUTFKE

not attested not anchored not stored refs pending

Stein method for invariant measures of diffusions via Malliavin calculus

Ciprian A. Tudor (LPP), Seiichiro Kusuoka

arxiv:1109.0684 v2 · 2011-09-04 · 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{RNXPN4WAE3Q3DLYKMSAXLUTFKE}

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	2026-05-18T04:01:11.410844Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8b6ef6f2c026e1b1af0a648175d265513629e68397cf115b1280c1ca66337977

Aliases

arxiv: 1109.0684 · arxiv_version: 1109.0684v2 · doi: 10.48550/arxiv.1109.0684 · pith_short_12: RNXPN4WAE3Q3 · pith_short_16: RNXPN4WAE3Q3DLYK · pith_short_8: RNXPN4WA

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/RNXPN4WAE3Q3DLYKMSAXLUTFKE \
  | 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: 8b6ef6f2c026e1b1af0a648175d265513629e68397cf115b1280c1ca66337977

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ccabf5c8c268fab7db6032b4c6abb5478041719678a4f20027731241c1969195",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2011-09-04T07:59:43Z",
    "title_canon_sha256": "71ead4859c72ae9d07cde4442c151341c3799c3220c2e388d1fe82a06aa6413f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1109.0684",
    "kind": "arxiv",
    "version": 2
  }
}