Pith Number

pith:CLEULFYQ

pith:2016:CLEULFYQJYPUQADORIRBLM5DN4

not attested not anchored not stored refs pending

Simple groups, interleaved products, complexity and conjectures of Gowers and Viola

Aner Shalev

arxiv:1601.00795 v2 · 2016-01-05 · 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{CLEULFYQJYPUQADORIRBLM5DN4}

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	2026-05-18T01:22:05.496385Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

12c94597104e1f48006e8a2215b3a36f35642cd4d0381164dc2945c0d73f1faa

Aliases

arxiv: 1601.00795 · arxiv_version: 1601.00795v2 · doi: 10.48550/arxiv.1601.00795 · pith_short_12: CLEULFYQJYPU · pith_short_16: CLEULFYQJYPUQADO · pith_short_8: CLEULFYQ

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/CLEULFYQJYPUQADORIRBLM5DN4 \
  | 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: 12c94597104e1f48006e8a2215b3a36f35642cd4d0381164dc2945c0d73f1faa

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2bfa05424814b91429bae3e3e60a6b72095cd2941e301f245b23b7526cac652b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2016-01-05T11:18:21Z",
    "title_canon_sha256": "dc93735f5090dbd57bfc1b34f72cd9de65a1d8e68a38b1f0878f7a057146e01b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1601.00795",
    "kind": "arxiv",
    "version": 2
  }
}