Pith Number

pith:2IYLVI46

pith:2015:2IYLVI46M4YQLNWLWQUJ3RCMCB

not attested not anchored not stored refs pending

Double and bordered \$\alpha\$-circulant self-dual codes over finite commutative chain rings

Alfred Wassermann, Michael Kiermaier

arxiv:1503.02939 v1 · 2015-03-10 · 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{2IYLVI46M4YQLNWLWQUJ3RCMCB}

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	2026-05-18T02:25:12.703873Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d230baa39e673105b6cbb4289dc44c107ad2ddc159aa40bce7e99265e1b70aaa

Aliases

arxiv: 1503.02939 · arxiv_version: 1503.02939v1 · doi: 10.48550/arxiv.1503.02939 · pith_short_12: 2IYLVI46M4YQ · pith_short_16: 2IYLVI46M4YQLNWL · pith_short_8: 2IYLVI46

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/2IYLVI46M4YQLNWLWQUJ3RCMCB \
  | 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: d230baa39e673105b6cbb4289dc44c107ad2ddc159aa40bce7e99265e1b70aaa

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "78c62cdd7a20f1abfb41374a775e753febe7ae27eae0eec55bdae1746b3e94d9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2015-03-10T14:54:21Z",
    "title_canon_sha256": "5b00e18666d4b4393b44bb5f0b5573437da3d8bcc57a2408accd14154cc2c88e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1503.02939",
    "kind": "arxiv",
    "version": 1
  }
}