Pith Number

pith:2XIOA3E2

pith:2012:2XIOA3E2QM6MEZ3MW3RSM5MLO5

not attested not anchored not stored refs pending

Golod-Shafarevich algebras, free subalgebras and Noetherian images

Agata Smoktunowicz

arxiv:1207.6503 v3 · 2012-07-27 · 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{2XIOA3E2QM6MEZ3MW3RSM5MLO5}

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	2026-05-18T03:38:13.989723Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d5d0e06c9a833cc2676cb6e326758b776f03df3320a8834a112ba1557c4f895a

Aliases

arxiv: 1207.6503 · arxiv_version: 1207.6503v3 · doi: 10.48550/arxiv.1207.6503 · pith_short_12: 2XIOA3E2QM6M · pith_short_16: 2XIOA3E2QM6MEZ3M · pith_short_8: 2XIOA3E2

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/2XIOA3E2QM6MEZ3MW3RSM5MLO5 \
  | 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: d5d0e06c9a833cc2676cb6e326758b776f03df3320a8834a112ba1557c4f895a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "926f6ab0b2298a24f1307e4ccc212d796f4035892967025a1f549b988296ce83",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2012-07-27T09:37:53Z",
    "title_canon_sha256": "f7ba78df83cfc9edcb17d6db4d101022cb34c598f59fc3e4ba65da6268fda6d1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1207.6503",
    "kind": "arxiv",
    "version": 3
  }
}