Pith Number

pith:REYQTCBA

pith:2010:REYQTCBAMRL4HFQ27VKRW4KVTR

not attested not anchored not stored refs pending

Linear groups over a locally linear division ring

Bui Xuan Hai, Mai Hoang Bien, Trinh Thanh Deo

arxiv:1012.5745 v3 · 2010-12-28 · math.RA · math.GR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{REYQTCBAMRL4HFQ27VKRW4KVTR}

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	2026-05-18T04:26:46.684264Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

89310988206457c3961afd551b71559c762468296c26335b833c6a508d168e86

Aliases

arxiv: 1012.5745 · arxiv_version: 1012.5745v3 · doi: 10.48550/arxiv.1012.5745 · pith_short_12: REYQTCBAMRL4 · pith_short_16: REYQTCBAMRL4HFQ2 · pith_short_8: REYQTCBA

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/REYQTCBAMRL4HFQ27VKRW4KVTR \
  | 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: 89310988206457c3961afd551b71559c762468296c26335b833c6a508d168e86

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "620a44ca87e82797f321c5acbd10eb3da3c388ceec71344a03f20c5b3d18ca29",
    "cross_cats_sorted": [
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2010-12-28T12:11:38Z",
    "title_canon_sha256": "54d1aeab3cb8613800d373da927250a1d1a994dcfdeb2bd873f2b6f375a3903c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1012.5745",
    "kind": "arxiv",
    "version": 3
  }
}