Pith Number

pith:QWC5QSW7

pith:2012:QWC5QSW7WYIMWAZG724RZGU7GZ

not attested not anchored not stored refs pending

A unified framework for the computation of polynomial quadrature weights and errors

M\'ario M. Gra\c{c}a, M. Esmeralda Sousa-Dias

arxiv:1203.4795 v2 · 2012-03-21 · 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{QWC5QSW7WYIMWAZG724RZGU7GZ}

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	2026-05-18T03:59:01.106992Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8585d84adfb610cb0326feb91c9a9f366a1f7287a85922cd5d24948bcc860170

Aliases

arxiv: 1203.4795 · arxiv_version: 1203.4795v2 · doi: 10.48550/arxiv.1203.4795 · pith_short_12: QWC5QSW7WYIM · pith_short_16: QWC5QSW7WYIMWAZG · pith_short_8: QWC5QSW7

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/QWC5QSW7WYIMWAZG724RZGU7GZ \
  | 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: 8585d84adfb610cb0326feb91c9a9f366a1f7287a85922cd5d24948bcc860170

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4dc7270a6b5a54802c03d5e7d916b8f04201daebbd9a88609195086c87e938f1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2012-03-21T18:27:10Z",
    "title_canon_sha256": "31d8f04e8b370aa957fc03c87138b78c4c8da3a4164d65a34af89bfbdfb1c009"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1203.4795",
    "kind": "arxiv",
    "version": 2
  }
}