Pith Number

pith:4CK623L7

pith:2012:4CK623L76Y335JJQJVRHQY373Z

not attested not anchored not stored refs pending

Quadrature as a least-squares and minimax problem

M\'ario M. Gra\c{c}a

arxiv:1206.0281 v1 · 2012-06-01 · 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{4CK623L76Y335JJQJVRHQY373Z}

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	2026-05-18T03:54:26.630431Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e095ed6d7ff637bea5304d6278637fde7b954e9368a8b51b46a3d606e61427bc

Aliases

arxiv: 1206.0281 · arxiv_version: 1206.0281v1 · doi: 10.48550/arxiv.1206.0281 · pith_short_12: 4CK623L76Y33 · pith_short_16: 4CK623L76Y335JJQ · pith_short_8: 4CK623L7

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/4CK623L76Y335JJQJVRHQY373Z \
  | 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: e095ed6d7ff637bea5304d6278637fde7b954e9368a8b51b46a3d606e61427bc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e7ae03e8322b66cd319291e59a35268a1f910956596bf60caeef4dddc3eb32b2",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2012-06-01T19:26:08Z",
    "title_canon_sha256": "e2197b316087ef0acaaa3c2ccdef7321e8028d7f45a5dc4d5ad08703a7257ade"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1206.0281",
    "kind": "arxiv",
    "version": 1
  }
}