Pith Number

pith:LAGZAWPQ

pith:2019:LAGZAWPQGLMBLTXWP5XX5T6CLC

not attested not anchored not stored refs pending

The cyclicity problem for Albert algebras

Maneesh Thakur

arxiv:1908.02942 v2 · 2019-08-08 · 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{LAGZAWPQGLMBLTXWP5XX5T6CLC}

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	2026-07-05T00:11:21.935626Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

580d9059f032d815cef67f6f7ecfc25886c4f0a11f366881debf52553ad8d18f

Aliases

arxiv: 1908.02942 · arxiv_version: 1908.02942v2 · doi: 10.48550/arxiv.1908.02942 · pith_short_12: LAGZAWPQGLMB · pith_short_16: LAGZAWPQGLMBLTXW · pith_short_8: LAGZAWPQ

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/LAGZAWPQGLMBLTXWP5XX5T6CLC \
  | 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: 580d9059f032d815cef67f6f7ecfc25886c4f0a11f366881debf52553ad8d18f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cdc41767494343b7b83bf54476ba4ef964ec7dd74588770dd02793429dd347c5",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2019-08-08T06:18:12Z",
    "title_canon_sha256": "6e69e9478d91448bc22a454c505efea9c6841f5e533f61b288ebe127af3e5f7d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1908.02942",
    "kind": "arxiv",
    "version": 2
  }
}