Pith Number

pith:OWOJP5J2

pith:2010:OWOJP5J2QSPKRTAREEJJZY4YDI

not attested not anchored not stored refs pending

Automorphisms of Albert algebras and a conjecture of Tits and Weiss

Maneesh Thakur

arxiv:1008.2919 v1 · 2010-08-17 · 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{OWOJP5J2QSPKRTAREEJJZY4YDI}

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	2026-05-18T04:42:04.112235Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

759c97f53a849ea8cc1121129ce3981a2db69503bd7a75ae9b0efe3946eefd73

Aliases

arxiv: 1008.2919 · arxiv_version: 1008.2919v1 · doi: 10.48550/arxiv.1008.2919 · pith_short_12: OWOJP5J2QSPK · pith_short_16: OWOJP5J2QSPKRTAR · pith_short_8: OWOJP5J2

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/OWOJP5J2QSPKRTAREEJJZY4YDI \
  | 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: 759c97f53a849ea8cc1121129ce3981a2db69503bd7a75ae9b0efe3946eefd73

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a67118fbda0bd439fb5bef8ad4505e277b5b68ebe6ee6c07e5305886c0a80c22",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2010-08-17T15:41:58Z",
    "title_canon_sha256": "fb0229a04471e0cb793edbd1931cefcfcd1c9432eee0298cb286ccae5fb0565c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1008.2919",
    "kind": "arxiv",
    "version": 1
  }
}