Pith Number

pith:NJFIFDIH

pith:2008:NJFIFDIHPMMM2VQXU7E5WEUIAC

not attested not anchored not stored refs pending

A Complete Classification of Ternary Self-Dual Codes of Length 24

Akihiro Munemasa, Masaaki Harada

arxiv:0804.0637 v1 · 2008-04-04 · 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{NJFIFDIHPMMM2VQXU7E5WEUIAC}

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	2026-05-18T03:55:00.753383Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6a4a828d077b18cd5617a7c9db128800b6c9c4bc5f0736007a4dbca049d824a6

Aliases

arxiv: 0804.0637 · arxiv_version: 0804.0637v1 · doi: 10.48550/arxiv.0804.0637 · pith_short_12: NJFIFDIHPMMM · pith_short_16: NJFIFDIHPMMM2VQX · pith_short_8: NJFIFDIH

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/NJFIFDIHPMMM2VQXU7E5WEUIAC \
  | 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: 6a4a828d077b18cd5617a7c9db128800b6c9c4bc5f0736007a4dbca049d824a6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dd259bdcbbaf2df5563daa8cc574cbba2de238887ae33f2a643134f086fc7806",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2008-04-04T00:41:34Z",
    "title_canon_sha256": "5b82b303673f2b3e513e5a1ca7c522b4712e2d64f34406980b4df911e588c26d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0804.0637",
    "kind": "arxiv",
    "version": 1
  }
}