Pith Number

pith:XW5TCXAA

pith:2016:XW5TCXAA3DXNSVVWJ4NW5VAML7

not attested not anchored not stored refs pending

Windings of planar processes, Exponential Functionals and Asian options

Stavros Vakeroudis, Wissem Jedidi

arxiv:1610.07030 v8 · 2016-10-22 · 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{XW5TCXAA3DXNSVVWJ4NW5VAML7}

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	2026-05-18T00:11:23.972561Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bdbb315c00d8eed956b64f1b6ed40c5fe20052e6ae7ba57e5c00349f2ad9c777

Aliases

arxiv: 1610.07030 · arxiv_version: 1610.07030v8 · doi: 10.48550/arxiv.1610.07030 · pith_short_12: XW5TCXAA3DXN · pith_short_16: XW5TCXAA3DXNSVVW · pith_short_8: XW5TCXAA

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/XW5TCXAA3DXNSVVWJ4NW5VAML7 \
  | 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: bdbb315c00d8eed956b64f1b6ed40c5fe20052e6ae7ba57e5c00349f2ad9c777

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "53b47025ec06d31663051b02f779e69bf64ac6a1cb1162fe9d2879118f6739f3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2016-10-22T10:40:59Z",
    "title_canon_sha256": "5a1b346cabf60b380397a4964a5617c6340927dc8dfaecdac7ac756a3296215b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1610.07030",
    "kind": "arxiv",
    "version": 8
  }
}