Pith Number

pith:DZ5SFHQ3

pith:2006:DZ5SFHQ37KT77X4M25VYWUHGF3

not attested not anchored not stored refs pending

Universally optimal distribution of points on spheres

Abhinav Kumar, Henry Cohn

arxiv:math/0607446 v2 · 2006-07-19 · math.MG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{DZ5SFHQ37KT77X4M25VYWUHGF3}

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	2026-05-18T04:00:02.963562Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1e7b229e1bfaa7ffdf8cd76b8b50e62ee89fb37168985b5713f531c161010fb4

Aliases

arxiv: math/0607446 · arxiv_version: math/0607446v2 · doi: 10.48550/arxiv.math/0607446 · pith_short_12: DZ5SFHQ37KT7 · pith_short_16: DZ5SFHQ37KT77X4M · pith_short_8: DZ5SFHQ3

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/DZ5SFHQ37KT77X4M25VYWUHGF3 \
  | 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: 1e7b229e1bfaa7ffdf8cd76b8b50e62ee89fb37168985b5713f531c161010fb4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "535071274015579c07bdceab5e3f6f0ff9844603be5559dbb430efd99c95c156",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.MG",
    "submitted_at": "2006-07-19T02:44:02Z",
    "title_canon_sha256": "8421e5ad11c809bc80d13f8bbde396760ef27c215a666e78bb260af3b5e68201"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0607446",
    "kind": "arxiv",
    "version": 2
  }
}