Pith Number

pith:PETAWR26

pith:2011:PETAWR26UD7WP6DHG2GZIJJUFD

not attested not anchored not stored refs pending

Classification of extremal and $s$-extremal binary self-dual codes of length 38

Carlos Aguilar-Melchor, Jon-Lark Kim, Lin Sok, Patrick Sol\'e, Philippe Gaborit

arxiv:1111.0228 v1 · 2011-11-01 · cs.DM

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PETAWR26UD7WP6DHG2GZIJJUFD}

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	2026-05-18T04:09:46.171626Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

79260b475ea0ff67f867368d94253428e9e855ab5042476c1e373988bb88a1ca

Aliases

arxiv: 1111.0228 · arxiv_version: 1111.0228v1 · doi: 10.48550/arxiv.1111.0228 · pith_short_12: PETAWR26UD7W · pith_short_16: PETAWR26UD7WP6DH · pith_short_8: PETAWR26

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/PETAWR26UD7WP6DHG2GZIJJUFD \
  | 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: 79260b475ea0ff67f867368d94253428e9e855ab5042476c1e373988bb88a1ca

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "315cc0beadaf3b8392443c3bd8804e3f0a750c5b94787d86dd51805e1b652621",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DM",
    "submitted_at": "2011-11-01T15:59:01Z",
    "title_canon_sha256": "9d11b8e1bd780504b885b0b74ebcd1130a8dc74b22860f3674a6126296625d12"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1111.0228",
    "kind": "arxiv",
    "version": 1
  }
}