Pith Number

pith:3NK74KJ3

pith:2005:3NK74KJ3EU6XWGOVB4WC3TWMQI

not attested not anchored not stored refs pending

Reconsideration of the multivariate moment problem and a new method for approximating multivariate integrals

Hermann Render, Ognyan Kounchev

arxiv:math/0509380 v1 · 2005-09-16 · math.FA · 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{3NK74KJ3EU6XWGOVB4WC3TWMQI}

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	2026-06-03T22:06:17.806674Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

db55fe293b253d7b19d50f2c2dcecc8230ff9aa2e8e7c1cf565a56484bdae082

Aliases

arxiv: math/0509380 · arxiv_version: math/0509380v1 · doi: 10.48550/arxiv.math/0509380 · pith_short_12: 3NK74KJ3EU6X · pith_short_16: 3NK74KJ3EU6XWGOV · pith_short_8: 3NK74KJ3

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/3NK74KJ3EU6XWGOVB4WC3TWMQI \
  | 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: db55fe293b253d7b19d50f2c2dcecc8230ff9aa2e8e7c1cf565a56484bdae082

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "21df1215d56c0895b965d49a4c707a7e50d77e224251a6fe4280cbf584007c40",
    "cross_cats_sorted": [
      "cs.NA",
      "math.NA"
    ],
    "license": "",
    "primary_cat": "math.FA",
    "submitted_at": "2005-09-16T14:59:49Z",
    "title_canon_sha256": "9cb65b26f394ff9aea305308a9386e1531a148084db2a08a0270c5d417bbf912"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0509380",
    "kind": "arxiv",
    "version": 1
  }
}