Pith Number

pith:TQDQ45DX

pith:2013:TQDQ45DXH7ZXSMLXCEZK66LBUF

not attested not anchored not stored refs pending

The genus of a division algebra and the unramified Brauer group

Andrei S. Rapinchuk, Igor A. Rapinchuk, Vladimir I. Chernousov

arxiv:1303.0390 v1 · 2013-03-02 · math.RA · math.AG · math.NT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TQDQ45DXH7ZXSMLXCEZK66LBUF}

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	2026-05-18T03:31:56.247222Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9c070e74773ff37931771132af7961a16a20876bd15e099c1ca79ee723396178

Aliases

arxiv: 1303.0390 · arxiv_version: 1303.0390v1 · doi: 10.48550/arxiv.1303.0390 · pith_short_12: TQDQ45DXH7ZX · pith_short_16: TQDQ45DXH7ZXSMLX · pith_short_8: TQDQ45DX

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/TQDQ45DXH7ZXSMLXCEZK66LBUF \
  | 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: 9c070e74773ff37931771132af7961a16a20876bd15e099c1ca79ee723396178

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c9a248d63d0db85b4e88387e7f66b6038728354270ff830c892e986898251da5",
    "cross_cats_sorted": [
      "math.AG",
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2013-03-02T13:44:23Z",
    "title_canon_sha256": "2e116231217d60f54420e5ea7df4ae2e33a854485d5fad7bcb6e247a96317ab3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1303.0390",
    "kind": "arxiv",
    "version": 1
  }
}