Pith Number

pith:BNKZSO3P

pith:2014:BNKZSO3PPVKVLMCRRARVAQJ2FO

not attested not anchored not stored refs pending

Expansion of Building-Like Complexes

Alexander Lubotzky, Roy Meshulam, Shahar Mozes

arxiv:1407.6303 v1 · 2014-07-23 · math.CO · 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{BNKZSO3PPVKVLMCRRARVAQJ2FO}

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	2026-05-18T02:46:39.953905Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0b55993b6f7d5555b051882350413a2b9b1ec8722e13a75e81cbfed2b5c6d633

Aliases

arxiv: 1407.6303 · arxiv_version: 1407.6303v1 · doi: 10.48550/arxiv.1407.6303 · pith_short_12: BNKZSO3PPVKV · pith_short_16: BNKZSO3PPVKVLMCR · pith_short_8: BNKZSO3P

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/BNKZSO3PPVKVLMCRRARVAQJ2FO \
  | 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: 0b55993b6f7d5555b051882350413a2b9b1ec8722e13a75e81cbfed2b5c6d633

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9ef5ec7ad0bf23eed7c35ebffc2460b5acb6fb39f87eb7ece2d2b5f1e993add9",
    "cross_cats_sorted": [
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2014-07-23T17:27:51Z",
    "title_canon_sha256": "0646250cbd2e02ba413d7d3b36d29d6c0d92a275eaa04fef907a41994e163654"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1407.6303",
    "kind": "arxiv",
    "version": 1
  }
}