Pith Number

pith:3V3GQKAJ

pith:2013:3V3GQKAJNK3KLGCUERXK5CK3CA

not attested not anchored not stored refs pending

Well separated spherical designs

Andriy Bondarenko, Danylo Radchenko, Maryna Viazovska

arxiv:1303.5991 v2 · 2013-03-24 · math.MG · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3V3GQKAJNK3KLGCUERXK5CK3CA}

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	2026-05-18T03:18:42.285391Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dd766828096ab6a59854246eae895b101f753d506bf29773c509bd09f6fc90fa

Aliases

arxiv: 1303.5991 · arxiv_version: 1303.5991v2 · doi: 10.48550/arxiv.1303.5991 · pith_short_12: 3V3GQKAJNK3K · pith_short_16: 3V3GQKAJNK3KLGCU · pith_short_8: 3V3GQKAJ

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/3V3GQKAJNK3KLGCUERXK5CK3CA \
  | 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: dd766828096ab6a59854246eae895b101f753d506bf29773c509bd09f6fc90fa

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ed49bee48a30d7bebd1b3189407877e17b20378c471dab765997b107661006b0",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2013-03-24T21:01:07Z",
    "title_canon_sha256": "2b2b1937c120f8fc7a31703b36dd0567511c3145c148fc464c42b7bfec67cd33"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1303.5991",
    "kind": "arxiv",
    "version": 2
  }
}