Pith Number

pith:XX42YRXW

pith:2014:XX42YRXWJEBF23EQORBMAXOY7R

not attested not anchored not stored refs pending

Parametrix construction of the transition probability density of the solution to an SDE driven by $\alpha$-stable noise

Alexei Kulik, Victoria Knopova

arxiv:1412.8732 v3 · 2014-12-30 · 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{XX42YRXWJEBF23EQORBMAXOY7R}

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	2026-05-18T00:29:39.870554Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bdf9ac46f649025d6c907442c05dd8fc6759a516e6723f2117fdfc45e60ae26e

Aliases

arxiv: 1412.8732 · arxiv_version: 1412.8732v3 · doi: 10.48550/arxiv.1412.8732 · pith_short_12: XX42YRXWJEBF · pith_short_16: XX42YRXWJEBF23EQ · pith_short_8: XX42YRXW

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/XX42YRXWJEBF23EQORBMAXOY7R \
  | 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: bdf9ac46f649025d6c907442c05dd8fc6759a516e6723f2117fdfc45e60ae26e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "83b875f00cdbf842577031e23c84412ddc3c5490f7c8ce6ec3e5de1ba4ee4d0b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2014-12-30T19:02:23Z",
    "title_canon_sha256": "88bdbf6f00b519378bf11b3479a161063a95dcb896a5e314112f8d43d0794a14"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1412.8732",
    "kind": "arxiv",
    "version": 3
  }
}