Pith Number

pith:QJVE4DD6

pith:2009:QJVE4DD64W42WOHIYHFGJWKOLF

not attested not anchored not stored refs pending

Gauss-Type Quadrature Rules Based on Identity-Type Functions

2) ((1)Dept of Math & Stat, (2)CAMP, Asghar Qadir (1, Dhahran, KFUPM, M. A. Bokhari (1), NUST, Pakistan), Rawalpindi, Saudi Arabia

arxiv:0905.1438 v1 · 2009-05-09 · math.NA · cs.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{QJVE4DD64W42WOHIYHFGJWKOLF}

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	2026-06-03T23:06:26.083926Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

826a4e0c7ee5b9ab38e8c1ca64d94e59703423464a4b9fdd7e729c340cc49d34

Aliases

arxiv: 0905.1438 · arxiv_version: 0905.1438v1 · doi: 10.48550/arxiv.0905.1438 · pith_short_12: QJVE4DD64W42 · pith_short_16: QJVE4DD64W42WOHI · pith_short_8: QJVE4DD6

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/QJVE4DD64W42WOHIYHFGJWKOLF \
  | 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: 826a4e0c7ee5b9ab38e8c1ca64d94e59703423464a4b9fdd7e729c340cc49d34

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "580b960d1c51113bfc0ace87bc8d552fa13cf0e4b43d1a5c27f6691f24985fb7",
    "cross_cats_sorted": [
      "cs.NA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2009-05-09T22:32:10Z",
    "title_canon_sha256": "9e82e5bc07e8000c74800d8a03a845de6d9fcc06010b4c4584cc2fd6147b1106"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0905.1438",
    "kind": "arxiv",
    "version": 1
  }
}