Pith Number

pith:CXDP4T7U

pith:2002:CXDP4T7UJCO2AKLG5ELCE4O4G2

not attested not anchored not stored refs pending

On diffusion approximation with discontinuous coefficients

N. V. Krylov, R. Liptser

arxiv:math/0204289 v1 · 2002-04-24 · math.PR · math.SG

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{CXDP4T7UJCO2AKLG5ELCE4O4G2}

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	2026-05-18T01:05:29.636296Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

15c6fe4ff4489da02966e9162271dc36944d35ee77106ab56dabea361cfec766

Aliases

arxiv: math/0204289 · arxiv_version: math/0204289v1 · doi: 10.48550/arxiv.math/0204289 · pith_short_12: CXDP4T7UJCO2 · pith_short_16: CXDP4T7UJCO2AKLG · pith_short_8: CXDP4T7U

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/CXDP4T7UJCO2AKLG5ELCE4O4G2 \
  | 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: 15c6fe4ff4489da02966e9162271dc36944d35ee77106ab56dabea361cfec766

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "70db56fdf5491c7685edf2a148b8c76151eadba52f24097e8d2f5f8a708a1be1",
    "cross_cats_sorted": [
      "math.SG"
    ],
    "license": "",
    "primary_cat": "math.PR",
    "submitted_at": "2002-04-24T09:26:39Z",
    "title_canon_sha256": "38704b4961be99bae6d2e822cf39259bde757e6cdcd262af0605c09860bd1703"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0204289",
    "kind": "arxiv",
    "version": 1
  }
}