Pith Number

pith:4HH7ZHAK

pith:2018:4HH7ZHAKQUN7CNOZ2WXHKI3DCS

not attested not anchored not stored refs pending

On efficient weighted integration via a change of variables

Friedrich Pillichshammer, G.W. Wasilkowski, Leszek Plaskota, Peter Kritzer

arxiv:1812.04259 v1 · 2018-12-11 · 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{4HH7ZHAKQUN7CNOZ2WXHKI3DCS}

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	2026-05-17T23:58:32.808771Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e1cffc9c0a851bf135d9d5ae7523631484a9f182f8b87570058cf453242f8985

Aliases

arxiv: 1812.04259 · arxiv_version: 1812.04259v1 · doi: 10.48550/arxiv.1812.04259 · pith_short_12: 4HH7ZHAKQUN7 · pith_short_16: 4HH7ZHAKQUN7CNOZ · pith_short_8: 4HH7ZHAK

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/4HH7ZHAKQUN7CNOZ2WXHKI3DCS \
  | 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: e1cffc9c0a851bf135d9d5ae7523631484a9f182f8b87570058cf453242f8985

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4316efe7ddaa691637461592e6dc3fa9298559619d619f3230cbce71674d9d56",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2018-12-11T08:13:36Z",
    "title_canon_sha256": "8c89a5741a5d21663ac8a2dfd1311ab9a0c124c0d79d7ba9e19c39ca5e4e1d38"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1812.04259",
    "kind": "arxiv",
    "version": 1
  }
}