Pith Number

pith:SC74HX3C

pith:2015:SC74HX3CWC4EYTGZQHNOHMVRT4

not attested not anchored not stored refs pending

On $s$-extremal singly even self-dual $[24k+8,12k+4,4k+2]$ codes

Akihiro Munemasa, Masaaki Harada

arxiv:1511.02972 v2 · 2015-11-10 · 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{SC74HX3CWC4EYTGZQHNOHMVRT4}

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	2026-05-18T00:32:31.537889Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

90bfc3df62b0b84c4cd981dae3b2b19f27345d789366a38d43d6e03b7541d333

Aliases

arxiv: 1511.02972 · arxiv_version: 1511.02972v2 · doi: 10.48550/arxiv.1511.02972 · pith_short_12: SC74HX3CWC4E · pith_short_16: SC74HX3CWC4EYTGZ · pith_short_8: SC74HX3C

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/SC74HX3CWC4EYTGZQHNOHMVRT4 \
  | 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: 90bfc3df62b0b84c4cd981dae3b2b19f27345d789366a38d43d6e03b7541d333

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a3df9baa5a4e424996bb837915aeaa53fdc7ce4008b4bf5ce2dce407eec55226",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2015-11-10T02:36:19Z",
    "title_canon_sha256": "7f0fe060edb092796e5322e01b4b4eff7db69b36b66456864b70786c6f3c761b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1511.02972",
    "kind": "arxiv",
    "version": 2
  }
}