Pith Number

pith:PNGGK3E4

pith:2014:PNGGK3E4BY5C23FK3ELQXXZMCZ

not attested not anchored not stored refs pending

Density of Skew Brownian motion and its functionals with application in finance

Alexander Gairat, Vadim Shcherbakov

arxiv:1407.1715 v3 · 2014-07-07 · math.PR · q-fin.MF

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PNGGK3E4BY5C23FK3ELQXXZMCZ}

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	2026-05-18T02:24:58.611972Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7b4c656c9c0e3a2d6caad9170bdf2c1659241fe45000977a7acb48d14baa2ebf

Aliases

arxiv: 1407.1715 · arxiv_version: 1407.1715v3 · doi: 10.48550/arxiv.1407.1715 · pith_short_12: PNGGK3E4BY5C · pith_short_16: PNGGK3E4BY5C23FK · pith_short_8: PNGGK3E4

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/PNGGK3E4BY5C23FK3ELQXXZMCZ \
  | 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: 7b4c656c9c0e3a2d6caad9170bdf2c1659241fe45000977a7acb48d14baa2ebf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5016374546cd48ca11929d95e12adbb41343a231ee4135f578cad0ec82c56a57",
    "cross_cats_sorted": [
      "q-fin.MF"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2014-07-07T13:47:34Z",
    "title_canon_sha256": "1a883de3735ab9632396e58bcf37fb00349bc0cd7231d12b0dae77896c60ae4a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1407.1715",
    "kind": "arxiv",
    "version": 3
  }
}