Pith Number

pith:XGRXUYN6

pith:2004:XGRXUYN67SSE4QYVFONDL5DEKW

not attested not anchored not stored refs pending

Calculating the Greeks by Cubature formulas

Josef Teichmann

arxiv:math/0410112 v2 · 2004-10-05 · math.PR · cs.NA · math.NA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{XGRXUYN67SSE4QYVFONDL5DEKW}

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	2026-06-03T22:06:15.769449Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b9a37a61befca44e43152b9a35f46455897f684384c179b530acb732768ef8a2

Aliases

arxiv: math/0410112 · arxiv_version: math/0410112v2 · doi: 10.48550/arxiv.math/0410112 · pith_short_12: XGRXUYN67SSE · pith_short_16: XGRXUYN67SSE4QYV · pith_short_8: XGRXUYN6

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/XGRXUYN67SSE4QYVFONDL5DEKW \
  | 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: b9a37a61befca44e43152b9a35f46455897f684384c179b530acb732768ef8a2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "047dd302ff50e2698f2dfe0e520323a5de90ed957eea50df5295ca2bc1ccc589",
    "cross_cats_sorted": [
      "cs.NA",
      "math.NA"
    ],
    "license": "",
    "primary_cat": "math.PR",
    "submitted_at": "2004-10-05T14:36:55Z",
    "title_canon_sha256": "939f0c5c65f14f7618a1b953f946a235fb71b3120cd2392bf4a27821d500d266"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0410112",
    "kind": "arxiv",
    "version": 2
  }
}