pith. sign in
Pith Number

pith:YHGZ4PEL

pith:2012:YHGZ4PELVSZFLEKRRRIRW4NBOV
not attested not anchored not stored refs pending

Class numbers of central simple algebras over global function fields

Chia-Fu Yu, Fu-Tsun Wei

arxiv:1208.5612 v1 · 2012-08-28 · math.NT

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{YHGZ4PELVSZFLEKRRRIRW4NBOV}

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 2026-05-18T03:46:58.215688Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

c1cd9e3c8bacb25591518c511b71a175765d3f0148a74d93bba073a8ff1cb9c2

Aliases

arxiv: 1208.5612 · arxiv_version: 1208.5612v1 · doi: 10.48550/arxiv.1208.5612 · pith_short_12: YHGZ4PELVSZF · pith_short_16: YHGZ4PELVSZFLEKR · pith_short_8: YHGZ4PEL
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/YHGZ4PELVSZFLEKRRRIRW4NBOV \
  | 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: c1cd9e3c8bacb25591518c511b71a175765d3f0148a74d93bba073a8ff1cb9c2
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "bec92a00db92d43b0d6eb0449145599aeec55fb821530e77aeb7d09f7d780e62",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2012-08-28T10:21:33Z",
    "title_canon_sha256": "31bbbbeb61036827868dd12b86d758e067a96a6bd95e94f7356bef41dcaa10db"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1208.5612",
    "kind": "arxiv",
    "version": 1
  }
}