Pith Number

pith:MBYF3QHV

pith:2018:MBYF3QHVGGIZOYI2BLAKJA6FQL

not attested not anchored not stored refs pending

On division subrings normalized by almost subnormal subgroups in division rings

Bui Xuan Hai, Mai Hoang Bien, Trinh Thanh Deo

arxiv:1801.01271 v2 · 2018-01-04 · 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{MBYF3QHVGGIZOYI2BLAKJA6FQL}

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	2026-05-17T23:53:44.401020Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

60705dc0f5319197611a0ac0a483c582c1ef347cbb3b5730e31a74f81cea75ae

Aliases

arxiv: 1801.01271 · arxiv_version: 1801.01271v2 · doi: 10.48550/arxiv.1801.01271 · pith_short_12: MBYF3QHVGGIZ · pith_short_16: MBYF3QHVGGIZOYI2 · pith_short_8: MBYF3QHV

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/MBYF3QHVGGIZOYI2BLAKJA6FQL \
  | 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: 60705dc0f5319197611a0ac0a483c582c1ef347cbb3b5730e31a74f81cea75ae

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a322f8b23d1a649e766b0e9aed713323f1ba42e1271c87d592d599c682719baf",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2018-01-04T08:17:41Z",
    "title_canon_sha256": "793987226e516fb297b47e542d7a85f52736cc3666466825ff5015a9d3f969b8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1801.01271",
    "kind": "arxiv",
    "version": 2
  }
}