Pith Number

pith:IO6PIYKN

pith:2016:IO6PIYKNUJWWUMGLBJRDC4P2YV

not attested not anchored not stored refs pending

Centralizer algebras of the group associated to ${\mathbb Z}_4$-codes

Manabu Oura, Masashi Kosuda

arxiv:1608.08731 v2 · 2016-08-31 · math.RT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{IO6PIYKNUJWWUMGLBJRDC4P2YV}

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	2026-05-18T00:42:51.603152Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

43bcf4614da26d6a30cb0a623171fac55b40a376d539c61e65abc2bb7a4c85ec

Aliases

arxiv: 1608.08731 · arxiv_version: 1608.08731v2 · doi: 10.48550/arxiv.1608.08731 · pith_short_12: IO6PIYKNUJWW · pith_short_16: IO6PIYKNUJWWUMGL · pith_short_8: IO6PIYKN

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/IO6PIYKNUJWWUMGLBJRDC4P2YV \
  | 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: 43bcf4614da26d6a30cb0a623171fac55b40a376d539c61e65abc2bb7a4c85ec

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ea5bf595eddc03d53bc3e3cb1d3e55b248a809568299bf40d57d0aac4292e6a1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2016-08-31T05:23:48Z",
    "title_canon_sha256": "b3948d1dc97419e4c69552943a5f53a28f11935dbded9bcdf939801e3c53ef5f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1608.08731",
    "kind": "arxiv",
    "version": 2
  }
}