Pith Number

pith:4FNQXUP5

pith:2018:4FNQXUP57QVBZKO2YMXMNJWQ2J

not attested not anchored not stored refs pending

Gaussian Quadrature Rule using {\epsilon}-Quasiorthogonality

Eric Darve, Pierre-David L\'etourneau

arxiv:1811.04846 v1 · 2018-11-12 · 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{4FNQXUP57QVBZKO2YMXMNJWQ2J}

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	2026-05-18T00:01:02.280337Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e15b0bd1fdfc2a1ca9dac32ec6a6d0d249c5068dbd6c30f0e680f2c94a403e34

Aliases

arxiv: 1811.04846 · arxiv_version: 1811.04846v1 · doi: 10.48550/arxiv.1811.04846 · pith_short_12: 4FNQXUP57QVB · pith_short_16: 4FNQXUP57QVBZKO2 · pith_short_8: 4FNQXUP5

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/4FNQXUP57QVBZKO2YMXMNJWQ2J \
  | 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: e15b0bd1fdfc2a1ca9dac32ec6a6d0d249c5068dbd6c30f0e680f2c94a403e34

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "50fa1fdbd3fce176a702c41f8b6051b7f32c71b36d857253d25e37613b2089a7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2018-11-12T16:42:38Z",
    "title_canon_sha256": "f3b8dd88ee10a1e92d5d41aef915d3b92a3e4c44d1f75378751ccd458ae52742"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1811.04846",
    "kind": "arxiv",
    "version": 1
  }
}