Pith Number

pith:EZX7FZZG

pith:2011:EZX7FZZGFK5E36OY3MONECDJNS

not attested not anchored not stored refs pending

Constructing Cubature Formulas of Degree 5 with Few Points

Zhaoliang Meng, Zhongxuan Luo

arxiv:1111.5094 v2 · 2011-11-22 · 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{EZX7FZZGFK5E36OY3MONECDJNS}

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	2026-05-18T03:35:14.304906Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

266ff2e7262aba4df9d8db1cd208696c8a1238d2f1c36771e0fd32e4ed106279

Aliases

arxiv: 1111.5094 · arxiv_version: 1111.5094v2 · doi: 10.48550/arxiv.1111.5094 · pith_short_12: EZX7FZZGFK5E · pith_short_16: EZX7FZZGFK5E36OY · pith_short_8: EZX7FZZG

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/EZX7FZZGFK5E36OY3MONECDJNS \
  | 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: 266ff2e7262aba4df9d8db1cd208696c8a1238d2f1c36771e0fd32e4ed106279

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2d5a0750f379c1d27255beaba1c2c5ca6f64f83c7df090b005bea8816d7441a9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2011-11-22T05:11:50Z",
    "title_canon_sha256": "a3a9d50c3f9fcaba5b08551f8e7057434ebdfd82db034394e60991c5a1591ff7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1111.5094",
    "kind": "arxiv",
    "version": 2
  }
}