Pith Number

pith:J7YLJ4ED

pith:2011:J7YLJ4EDPZZMS7Y5BO3GVH7JIW

not attested not anchored not stored refs pending

A complete classification of doubly even self-dual codes of length 40

Akihiro Munemasa, Koichi Betsumiya, Masaaki Harada

arxiv:1104.3727 v4 · 2011-04-19 · math.CO · cs.IT · math.IT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{J7YLJ4EDPZZMS7Y5BO3GVH7JIW}

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	2026-05-18T03:41:11.233217Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4ff0b4f0837e72c97f1d0bb66a9fe94597bff9fdf865bc7b6b2286007e16cac3

Aliases

arxiv: 1104.3727 · arxiv_version: 1104.3727v4 · doi: 10.48550/arxiv.1104.3727 · pith_short_12: J7YLJ4EDPZZM · pith_short_16: J7YLJ4EDPZZMS7Y5 · pith_short_8: J7YLJ4ED

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/J7YLJ4EDPZZMS7Y5BO3GVH7JIW \
  | 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: 4ff0b4f0837e72c97f1d0bb66a9fe94597bff9fdf865bc7b6b2286007e16cac3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c58130e5ab5bf45b7e7df2cd7f3aae87c083d1336c72000842aea0281ca6a880",
    "cross_cats_sorted": [
      "cs.IT",
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2011-04-19T12:28:09Z",
    "title_canon_sha256": "d746486d793087017eb498429da9275911dd855ac3dd2239014467dded71600b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1104.3727",
    "kind": "arxiv",
    "version": 4
  }
}