Pith Number

pith:CHWLNVTR

pith:2012:CHWLNVTRY2B5BMGSRTYE5WCZJ3

not attested not anchored not stored refs pending

On the Automorphism Group of a Binary Self-dual [120, 60, 24] Code

Javier de la Cruz, Stefka Bouyuklieva, Wolfgang Willems

arxiv:1210.2540 v1 · 2012-10-09 · math.CO · cs.DM · math.GR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{CHWLNVTRY2B5BMGSRTYE5WCZJ3}

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	2026-05-18T00:05:24.391490Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

11ecb6d671c683d0b0d28cf04ed8594ed80d6c3263aac2908d958840494a33dd

Aliases

arxiv: 1210.2540 · arxiv_version: 1210.2540v1 · doi: 10.48550/arxiv.1210.2540 · pith_short_12: CHWLNVTRY2B5 · pith_short_16: CHWLNVTRY2B5BMGS · pith_short_8: CHWLNVTR

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/CHWLNVTRY2B5BMGSRTYE5WCZJ3 \
  | 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: 11ecb6d671c683d0b0d28cf04ed8594ed80d6c3263aac2908d958840494a33dd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "572e75d600941ff031d02384f93440041852e3a7c7ea12b233766ec1a805de1a",
    "cross_cats_sorted": [
      "cs.DM",
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2012-10-09T09:44:56Z",
    "title_canon_sha256": "31991d9768f73c3f755420c42db1acfd602fb36f697d1e100ebe3f36775f7ee5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1210.2540",
    "kind": "arxiv",
    "version": 1
  }
}