Pith Number

pith:FGOPQUVC

pith:2026:FGOPQUVCZAWPRTUDDNTL4K2ZZA

not attested not anchored not stored refs pending

Optimized multilevel Monte Carlo methods in Banach spaces

Christoph Schwab, Fabio Nobile, Kristin Kirchner, Tommaso Vanzan

arxiv:2605.24620 v1 · 2026-05-23 · math.NA · cs.NA · 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{FGOPQUVCZAWPRTUDDNTL4K2ZZA}

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	2026-05-26T01:03:49.385864Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

299cf852a2c82cf8ce831b66be2b59c836d3f37427e11a6fad4f1969f91ee1ca

Aliases

arxiv: 2605.24620 · arxiv_version: 2605.24620v1 · doi: 10.48550/arxiv.2605.24620 · pith_short_12: FGOPQUVCZAWP · pith_short_16: FGOPQUVCZAWPRTUD · pith_short_8: FGOPQUVC

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/FGOPQUVCZAWPRTUDDNTL4K2ZZA \
  | 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: 299cf852a2c82cf8ce831b66be2b59c836d3f37427e11a6fad4f1969f91ee1ca

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1e8052b57e60a4c5b6a114fe68e940273e122130212021ce023a24a92960742c",
    "cross_cats_sorted": [
      "cs.NA",
      "math.PR"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2026-05-23T15:09:16Z",
    "title_canon_sha256": "00f0f70d1d8dc41993788daaab6d238175614d31634920ae2e3cce027083ce21"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.24620",
    "kind": "arxiv",
    "version": 1
  }
}