Pith Number

pith:CWJY44OL

pith:2010:CWJY44OL2ODOKCBGSR2BA23DZJ

not attested not anchored not stored refs pending

A Note on Projecting the Cubic Lattice

N. J. A. Sloane, Sueli I. R. Costa, Vinay A. Vaishampayan

arxiv:1004.3072 v4 · 2010-04-18 · math.NT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{CWJY44OL2ODOKCBGSR2BA23DZJ}

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	2026-05-18T02:42:46.880584Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

15938e71cbd386e508269474106b63ca47ab4bf830abdcaee6f82bfde0c82519

Aliases

arxiv: 1004.3072 · arxiv_version: 1004.3072v4 · doi: 10.48550/arxiv.1004.3072 · pith_short_12: CWJY44OL2ODO · pith_short_16: CWJY44OL2ODOKCBG · pith_short_8: CWJY44OL

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/CWJY44OL2ODOKCBGSR2BA23DZJ \
  | 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: 15938e71cbd386e508269474106b63ca47ab4bf830abdcaee6f82bfde0c82519

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a4071b44271dffc4f8123ac4dfb7356e22869790aafb835dca2ac4bca9a6fe9a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2010-04-18T23:55:59Z",
    "title_canon_sha256": "f5ab0bc1eba103fee77df4a1a96c268c397900548b3e3828183ab36f18bdb9ae"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1004.3072",
    "kind": "arxiv",
    "version": 4
  }
}