Pith Number

pith:W5IG4TGS

pith:2013:W5IG4TGSXCGCYFJWJNB7NLZBWO

not attested not anchored not stored refs pending

A recursive construction of projective cubature formulas and related isometric embeddings

Oksana A. Shatalova, Yuri I. Lyubich

arxiv:1310.4562 v2 · 2013-10-17 · math.FA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{W5IG4TGSXCGCYFJWJNB7NLZBWO}

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.

Cited by

1 paper in Pith

Optimal measures for p-frame energies on spheres

Receipt and verification

First computed	2026-05-18T02:51:15.004331Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b7506e4cd2b88c2c15364b43f6af21b3a240a7ebe541b54b9b0a887e1d702f64

Aliases

arxiv: 1310.4562 · arxiv_version: 1310.4562v2 · doi: 10.48550/arxiv.1310.4562 · pith_short_12: W5IG4TGSXCGC · pith_short_16: W5IG4TGSXCGCYFJW · pith_short_8: W5IG4TGS

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/W5IG4TGSXCGCYFJWJNB7NLZBWO \
  | 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: b7506e4cd2b88c2c15364b43f6af21b3a240a7ebe541b54b9b0a887e1d702f64

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a6c82202d0e0d5ae0bd77cf119dc8e811e7c7130d4e62b7e265cb0750a4615e5",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2013-10-17T02:19:20Z",
    "title_canon_sha256": "58d025a0219bd879b95dc490c35b6b760045eefdcdd6ffdcfbda29925409f1d6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1310.4562",
    "kind": "arxiv",
    "version": 2
  }
}