Pith Number

pith:V77NQVE6

pith:2016:V77NQVE66OFI4GWWYVOYBJ4WKT

not attested not anchored not stored refs pending

Optimization approaches to quadrature: new characterizations of Gaussian quadrature on the line and quadrature with few nodes on plane algebraic curves, on the plane and in higher dimensions

Cordian Riener, Markus Schweighofer

arxiv:1607.08404 v3 · 2016-07-28 · math.NA · math.AG · math.OC

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{V77NQVE66OFI4GWWYVOYBJ4WKT}

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	2026-05-18T00:31:51.994825Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

affed8549ef38a8e1ad6c55d80a79654f3ecdf2c6f96f4fcb2ec36b465b2fe1c

Aliases

arxiv: 1607.08404 · arxiv_version: 1607.08404v3 · doi: 10.48550/arxiv.1607.08404 · pith_short_12: V77NQVE66OFI · pith_short_16: V77NQVE66OFI4GWW · pith_short_8: V77NQVE6

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/V77NQVE66OFI4GWWYVOYBJ4WKT \
  | 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: affed8549ef38a8e1ad6c55d80a79654f3ecdf2c6f96f4fcb2ec36b465b2fe1c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "63127922c53d0e87c4af42a7d6367fe283cc74681bebf3e17e8f27d3f66e3291",
    "cross_cats_sorted": [
      "math.AG",
      "math.OC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2016-07-28T11:13:21Z",
    "title_canon_sha256": "55be2dea5cd4c1287bc17bc33cfb1d8f4d69f12109545a60f71f64f95471a7ee"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1607.08404",
    "kind": "arxiv",
    "version": 3
  }
}