Pith Number

pith:WC5PFQEA

pith:2011:WC5PFQEABPJ7S5EL2DE6MUVGPL

not attested not anchored not stored refs pending

Quadrature rules with (not too many) derivatives

Matthew Wiersma

arxiv:1109.0326 v1 · 2011-09-01 · math.CA · 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{WC5PFQEABPJ7S5EL2DE6MUVGPL}

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	2026-05-18T04:14:15.992978Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b0baf2c0800bd3f9748bd0c9e652a67ae6c090b109e0cdf362ab1157634360d3

Aliases

arxiv: 1109.0326 · arxiv_version: 1109.0326v1 · doi: 10.48550/arxiv.1109.0326 · pith_short_12: WC5PFQEABPJ7 · pith_short_16: WC5PFQEABPJ7S5EL · pith_short_8: WC5PFQEA

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/WC5PFQEABPJ7S5EL2DE6MUVGPL \
  | 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: b0baf2c0800bd3f9748bd0c9e652a67ae6c090b109e0cdf362ab1157634360d3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b8d26ed2ea78e2c04e1c3dfe5fe445362282b837ed0d5fa3e2498a2308b9699b",
    "cross_cats_sorted": [
      "math.NA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2011-09-01T23:11:35Z",
    "title_canon_sha256": "d871dd662e58d768d01e32bc624b6cec39e323a1b7e439c6699cec67dcf04802"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1109.0326",
    "kind": "arxiv",
    "version": 1
  }
}