Pith Number

pith:GODIVYY5

pith:2011:GODIVYY5I5USFVCZCEJEPJTYMI

not attested not anchored not stored refs pending

On positive cubature rules on the simplex and isometric embeddings

Masanori Sawa, Yuan Xu

arxiv:1108.3385 v1 · 2011-08-17 · 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{GODIVYY5I5USFVCZCEJEPJTYMI}

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	2026-05-18T04:15:18.102877Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

33868ae31d476922d459111247a67862389944247af73f0da76c859a3d3a1661

Aliases

arxiv: 1108.3385 · arxiv_version: 1108.3385v1 · doi: 10.48550/arxiv.1108.3385 · pith_short_12: GODIVYY5I5US · pith_short_16: GODIVYY5I5USFVCZ · pith_short_8: GODIVYY5

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/GODIVYY5I5USFVCZCEJEPJTYMI \
  | 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: 33868ae31d476922d459111247a67862389944247af73f0da76c859a3d3a1661

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4bf1b9790061cbd0354f1047a75b8a66f058bb3b349b51f429a30344d0cb38be",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2011-08-17T03:03:00Z",
    "title_canon_sha256": "447933b12ceba0739c6a233dec2ac4501f9004d811025d23e09daa30f2635eb3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1108.3385",
    "kind": "arxiv",
    "version": 1
  }
}