Pith Number

pith:6FXAWAGX

pith:2011:6FXAWAGXELOQWS3EBXRRDUT73L

not attested not anchored not stored refs pending

Images of Golod-Shafarevich algebras with small growth

Agata Smoktunowicz, Laurent Bartholdi

arxiv:1108.4267 v2 · 2011-08-22 · 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{6FXAWAGXELOQWS3EBXRRDUT73L}

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	2026-05-18T01:11:55.597547Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f16e0b00d722dd0b4b640de311d27fdafc6955f3cbdfab136dd1cd6a92c89d6b

Aliases

arxiv: 1108.4267 · arxiv_version: 1108.4267v2 · doi: 10.48550/arxiv.1108.4267 · pith_short_12: 6FXAWAGXELOQ · pith_short_16: 6FXAWAGXELOQWS3E · pith_short_8: 6FXAWAGX

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/6FXAWAGXELOQWS3EBXRRDUT73L \
  | 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: f16e0b00d722dd0b4b640de311d27fdafc6955f3cbdfab136dd1cd6a92c89d6b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a7d1d724a9fe12e26023d67449786c456b490f2c5311e3feaa5ecb61876e7594",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2011-08-22T10:13:53Z",
    "title_canon_sha256": "7b1aa0e42098e1a4dcbe6874f992cb5ac3e03a221cb852c149036035ad168224"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1108.4267",
    "kind": "arxiv",
    "version": 2
  }
}