Pith Number

pith:GR5WHNML

pith:2015:GR5WHNMLCS2BRM4ENIV6KZXOTH

not attested not anchored not stored refs pending

A Universal Algorithm for Multivariate Integration

David Krieg, Erich Novak

arxiv:1507.06853 v2 · 2015-07-24 · 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{GR5WHNMLCS2BRM4ENIV6KZXOTH}

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	2026-05-18T01:21:37.242824Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

347b63b58b14b418b3846a2be566ee99f986c1316877326b1f621390c143e9f8

Aliases

arxiv: 1507.06853 · arxiv_version: 1507.06853v2 · doi: 10.48550/arxiv.1507.06853 · pith_short_12: GR5WHNMLCS2B · pith_short_16: GR5WHNMLCS2BRM4E · pith_short_8: GR5WHNML

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/GR5WHNMLCS2BRM4ENIV6KZXOTH \
  | 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: 347b63b58b14b418b3846a2be566ee99f986c1316877326b1f621390c143e9f8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8a5a784e83f1f95d54c17dda0e12cfb8a058d81f6c5d7a0cd63d9f322a3dafe3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2015-07-24T14:19:55Z",
    "title_canon_sha256": "81a2053ae261d60d0772f6b681f28f467c1ac60c64404df4235e8b9a3083d273"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1507.06853",
    "kind": "arxiv",
    "version": 2
  }
}