Pith Number

pith:XGDNHCCM

pith:2011:XGDNHCCMY3PV3CHMWBFGOATGMV

not attested not anchored not stored refs pending

Shirshov's theorem and division rings that are left algebraic over a subfield

Jason P. Bell, Vesselin Drensky, Yaghoub Sharifi

arxiv:1111.5604 v1 · 2011-11-23 · math.RA · 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{XGDNHCCMY3PV3CHMWBFGOATGMV}

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	2026-05-18T04:07:43.397569Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b986d3884cc6df5d88ecb04a670266657e670a3038769c9dc2fa04485c1f26c5

Aliases

arxiv: 1111.5604 · arxiv_version: 1111.5604v1 · doi: 10.48550/arxiv.1111.5604 · pith_short_12: XGDNHCCMY3PV · pith_short_16: XGDNHCCMY3PV3CHM · pith_short_8: XGDNHCCM

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/XGDNHCCMY3PV3CHMWBFGOATGMV \
  | 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: b986d3884cc6df5d88ecb04a670266657e670a3038769c9dc2fa04485c1f26c5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "84579b5a834a89dc45d553de1267fa3219ecc1a7f1638d1e411950e11dabe460",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2011-11-23T20:19:18Z",
    "title_canon_sha256": "153a33cade4acf09d6560c7a899d0214ad5e8f3471e600420b7d66e1e3a04429"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1111.5604",
    "kind": "arxiv",
    "version": 1
  }
}