Pith Number

pith:XHJH43H6

pith:2011:XHJH43H6SIO2K3RR2F5SKNXZGW

not attested not anchored not stored refs pending

On a conjecture of Brouwer involving the connectivity of strongly regular graphs

Jack H. Koolen, Kijung Kim, Sebastian M. Cioaba

arxiv:1105.0796 v2 · 2011-05-04 · math.CO · cs.DM

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{XHJH43H6SIO2K3RR2F5SKNXZGW}

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	2026-05-18T04:04:53.402276Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b9d27e6cfe921da56e31d17b2536f935bc758eb69c87496d52e5e0792592dd85

Aliases

arxiv: 1105.0796 · arxiv_version: 1105.0796v2 · doi: 10.48550/arxiv.1105.0796 · pith_short_12: XHJH43H6SIO2 · pith_short_16: XHJH43H6SIO2K3RR · pith_short_8: XHJH43H6

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/XHJH43H6SIO2K3RR2F5SKNXZGW \
  | 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: b9d27e6cfe921da56e31d17b2536f935bc758eb69c87496d52e5e0792592dd85

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4fbc30b90065f2b7fdbdb94719dac808f759b391ff0968c94df2e55c0a083651",
    "cross_cats_sorted": [
      "cs.DM"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2011-05-04T11:53:09Z",
    "title_canon_sha256": "deb7c794fc266bbfec70191ed782ef68664e18a007707dbddf98571c7aee92ee"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1105.0796",
    "kind": "arxiv",
    "version": 2
  }
}