Pith Number

pith:APG6CWZE

pith:2013:APG6CWZEKUFPSG4DG3VXWSZSFG

not attested not anchored not stored refs pending

From rough path estimates to multilevel Monte Carlo

Christian Bayer, John Schoenmakers, Peter K. Friz, Sebastian Riedel

arxiv:1305.5779 v3 · 2013-05-24 · 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{APG6CWZEKUFPSG4DG3VXWSZSFG}

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	2026-05-18T01:12:20.154758Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

03cde15b24550af91b8336eb7b4b322991ef4638c29e599983331fb449203ae8

Aliases

arxiv: 1305.5779 · arxiv_version: 1305.5779v3 · doi: 10.48550/arxiv.1305.5779 · pith_short_12: APG6CWZEKUFP · pith_short_16: APG6CWZEKUFPSG4D · pith_short_8: APG6CWZE

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/APG6CWZEKUFPSG4DG3VXWSZSFG \
  | 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: 03cde15b24550af91b8336eb7b4b322991ef4638c29e599983331fb449203ae8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "38c28fa4a94dd4fc579e1722c80bfc5d6e2391c8b921c9c1d1a8eb09d1a47627",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2013-05-24T16:12:14Z",
    "title_canon_sha256": "751f56c4df6193101f9f3002c2fc3ed0bcfe96de2ccc883bb8e4e89ac7f34617"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1305.5779",
    "kind": "arxiv",
    "version": 3
  }
}