Pith Number

pith:ZWEPM5LV

pith:2008:ZWEPM5LVUDPB3BGELIK74P2FRM

not attested not anchored not stored refs pending

There exists no self-dual [24,12,10] code over F5

Akihiro Munemasa, Masaaki Harada

arxiv:0809.0733 v2 · 2008-09-04 · 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{ZWEPM5LVUDPB3BGELIK74P2FRM}

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	2026-05-18T03:55:00.712121Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cd88f67575a0de1d84c45a15fe3f458b0b36d345c25827b53066317c55b78fc7

Aliases

arxiv: 0809.0733 · arxiv_version: 0809.0733v2 · doi: 10.48550/arxiv.0809.0733 · pith_short_12: ZWEPM5LVUDPB · pith_short_16: ZWEPM5LVUDPB3BGE · pith_short_8: ZWEPM5LV

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/ZWEPM5LVUDPB3BGELIK74P2FRM \
  | 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: cd88f67575a0de1d84c45a15fe3f458b0b36d345c25827b53066317c55b78fc7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "38220068da0652acdf1ec5f4dc3ffcf5375600201e855a8d97fbfa09e2d43403",
    "cross_cats_sorted": [
      "cs.IT",
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2008-09-04T02:17:12Z",
    "title_canon_sha256": "a32c373f686dfe8d5a01359fcd3d957468181e2ee71f5c2b82bf988b4e6ce5f8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0809.0733",
    "kind": "arxiv",
    "version": 2
  }
}