Pith Number

pith:4FCZ3AZU

pith:2010:4FCZ3AZUKLWVQWG4P4XI6S3PSM

not attested not anchored not stored refs pending

Classification of self-dual codes of length 36

Akihiro Munemasa, Masaaki Harada

arxiv:1012.5464 v2 · 2010-12-25 · 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{4FCZ3AZUKLWVQWG4P4XI6S3PSM}

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	2026-05-18T03:41:11.281615Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e1459d833452ed5858dc7f2e8f4b6f931bff1be2f728bf74cef12bbddfa77fe5

Aliases

arxiv: 1012.5464 · arxiv_version: 1012.5464v2 · doi: 10.48550/arxiv.1012.5464 · pith_short_12: 4FCZ3AZUKLWV · pith_short_16: 4FCZ3AZUKLWVQWG4 · pith_short_8: 4FCZ3AZU

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/4FCZ3AZUKLWVQWG4P4XI6S3PSM \
  | 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: e1459d833452ed5858dc7f2e8f4b6f931bff1be2f728bf74cef12bbddfa77fe5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8041002406dd4070d32a5dd01ca64676e3dbb52df13c0b45fb261eb45f7a4338",
    "cross_cats_sorted": [
      "cs.IT",
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2010-12-25T11:59:37Z",
    "title_canon_sha256": "ee80f91f3f1ba00bb4fe3b2bdcaf0ad0ec4a1c72bb44b8f73613174f18b60adc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1012.5464",
    "kind": "arxiv",
    "version": 2
  }
}