Pith Number

pith:7MJJ7OVO

pith:2009:7MJJ7OVOANG3FEI7H33GR5ZMQS

not attested not anchored not stored refs pending

On the proof of some theorem on locally nilpotent subgroups in division rings

Bui Xuan Hai, Nguyen Van Thin

arxiv:0911.5302 v4 · 2009-11-27 · math.RA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{7MJJ7OVOANG3FEI7H33GR5ZMQS}

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	2026-05-17T23:53:07.081402Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fb129fbaae034db2911f3ef668f72c8488217a53576d2b4bcb615e0229f25c3f

Aliases

arxiv: 0911.5302 · arxiv_version: 0911.5302v4 · doi: 10.48550/arxiv.0911.5302 · pith_short_12: 7MJJ7OVOANG3 · pith_short_16: 7MJJ7OVOANG3FEI7 · pith_short_8: 7MJJ7OVO

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/7MJJ7OVOANG3FEI7H33GR5ZMQS \
  | 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: fb129fbaae034db2911f3ef668f72c8488217a53576d2b4bcb615e0229f25c3f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1da60f5fe58f3cdd74c6ded5e5bd5fd1f6db1ebf79a22ec161f480efa7f604be",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2009-11-27T16:18:04Z",
    "title_canon_sha256": "216d30b0287dc9918fd60cc7e6c10dccb0dae0972446914d3eb605ad3faf71a8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0911.5302",
    "kind": "arxiv",
    "version": 4
  }
}