Pith Number

pith:VM2Q473A

pith:2011:VM2Q473AXDW3AKFYKRGZD44MTG

not attested not anchored not stored refs pending

A unified generalization of some quadrature rules and error bounds

Adnan Tuna, Wenjun Liu, Yong Jiang

arxiv:1109.6580 v1 · 2011-09-27 · 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{VM2Q473AXDW3AKFYKRGZD44MTG}

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	2026-05-18T04:12:01.289218Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ab350e7f60b8edb028b8544d91f38c9987e80e9a4db13a7accc774871f9dae9c

Aliases

arxiv: 1109.6580 · arxiv_version: 1109.6580v1 · doi: 10.48550/arxiv.1109.6580 · pith_short_12: VM2Q473AXDW3 · pith_short_16: VM2Q473AXDW3AKFY · pith_short_8: VM2Q473A

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/VM2Q473AXDW3AKFYKRGZD44MTG \
  | 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: ab350e7f60b8edb028b8544d91f38c9987e80e9a4db13a7accc774871f9dae9c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c82d5e69ffd96ae31c39c297192eaef0a96ab77cbdd586682bd0efe94028892b",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-nc-sa/3.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2011-09-27T14:25:42Z",
    "title_canon_sha256": "bc327c655743ad5a591a5b598c52d7d8c0809f3059fee1c59306f80df5407a6d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1109.6580",
    "kind": "arxiv",
    "version": 1
  }
}