Pith Number

pith:43UY4TGK

pith:2011:43UY4TGKX6D4SBJEPHRIYS5MXH

not attested not anchored not stored refs pending

Smoothness and asymptotic estimates of densities for SDEs with locally smooth coefficients and applications to square root-type diffusions

Stefano De Marco

arxiv:1108.4558 v1 · 2011-08-23 · 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{43UY4TGKX6D4SBJEPHRIYS5MXH}

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	2026-05-18T04:14:54.271487Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e6e98e4ccabf87c9052479e28c4bacb9d28e6a45fe8e279064de122d03dd7b43

Aliases

arxiv: 1108.4558 · arxiv_version: 1108.4558v1 · doi: 10.48550/arxiv.1108.4558 · pith_short_12: 43UY4TGKX6D4 · pith_short_16: 43UY4TGKX6D4SBJE · pith_short_8: 43UY4TGK

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/43UY4TGKX6D4SBJEPHRIYS5MXH \
  | 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: e6e98e4ccabf87c9052479e28c4bacb9d28e6a45fe8e279064de122d03dd7b43

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a9edf734d0a730246588a6fef4e08c234c3cf508ba6b3dde4b5613f7ef9952c8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2011-08-23T11:52:32Z",
    "title_canon_sha256": "baab69824e5c35901150bcc8e61cfa8f0c369c315977075957823f21db88869c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1108.4558",
    "kind": "arxiv",
    "version": 1
  }
}