Pith Number

pith:3ET66ZYN

pith:2012:3ET66ZYNTZM7MLFANBZX5VJDBH

not attested not anchored not stored refs pending

Unramified division algebras do not always contain Azumaya maximal orders

Benjamin Antieau, Ben Williams

arxiv:1209.2216 v3 · 2012-09-11 · math.AG · math.AT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3ET66ZYNTZM7MLFANBZX5VJDBH}

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	2026-05-18T03:19:24.372282Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d927ef670d9e59f62ca068737ed52309da39f64645617b46ed229aba0cd80c83

Aliases

arxiv: 1209.2216 · arxiv_version: 1209.2216v3 · doi: 10.48550/arxiv.1209.2216 · pith_short_12: 3ET66ZYNTZM7 · pith_short_16: 3ET66ZYNTZM7MLFA · pith_short_8: 3ET66ZYN

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/3ET66ZYNTZM7MLFANBZX5VJDBH \
  | 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: d927ef670d9e59f62ca068737ed52309da39f64645617b46ed229aba0cd80c83

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "06946394ba6ec11b1f111a0d55248b1da3ec16dcbb6ba0287702edf63b02b33f",
    "cross_cats_sorted": [
      "math.AT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2012-09-11T04:14:03Z",
    "title_canon_sha256": "6646ee1b0e1b699d6520fcf2ec0d05c45c61428e7d8c90c8d4d2e7c47d7e11dc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1209.2216",
    "kind": "arxiv",
    "version": 3
  }
}