Pith Number

pith:QU3GL343

pith:2018:QU3GL343XPM2LCTLIV6PHAD3OL

not attested not anchored not stored refs pending

Universality Properties of Gaussian Quadrature, The Derivative Rule, and a Novel Approach to Stieltjes Inversion

William P. Reinhardt

arxiv:1812.02196 v1 · 2018-12-05 · math.NA · math-ph · math.CA · math.MP · math.SP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{QU3GL343XPM2LCTLIV6PHAD3OL}

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	2026-05-17T23:58:47.063628Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

853665ef9bbbd9a58a6b457cf3807b72cf49fbeeea7225e58cb6ea8e8deaae46

Aliases

arxiv: 1812.02196 · arxiv_version: 1812.02196v1 · doi: 10.48550/arxiv.1812.02196 · pith_short_12: QU3GL343XPM2 · pith_short_16: QU3GL343XPM2LCTL · pith_short_8: QU3GL343

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/QU3GL343XPM2LCTLIV6PHAD3OL \
  | 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: 853665ef9bbbd9a58a6b457cf3807b72cf49fbeeea7225e58cb6ea8e8deaae46

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a526ed4bca77ab4b5b9a817c151fe818f7c28830ce5c73f2bbe8de55c9a8dfce",
    "cross_cats_sorted": [
      "math-ph",
      "math.CA",
      "math.MP",
      "math.SP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2018-12-05T19:25:27Z",
    "title_canon_sha256": "556a802a8f4d7a189f1ce8d434c3adafa3ce4ebcfce26476cba1d32efe3b2299"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1812.02196",
    "kind": "arxiv",
    "version": 1
  }
}