Pith Number

pith:7OILRVQG

pith:2014:7OILRVQGZ7PG54ONWYLRFTSW7R

not attested not anchored not stored refs pending

Twice $Q$-polynomial distance-regular graphs of diameter 4

Jack Koolen, Jianmin Ma

arxiv:1405.2546 v1 · 2014-05-11 · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{7OILRVQGZ7PG54ONWYLRFTSW7R}

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	2026-05-18T01:22:22.189093Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fb90b8d606cfde6ef1cdb61712ce56fc63f10e5dab4de1441c59362e44329a1b

Aliases

arxiv: 1405.2546 · arxiv_version: 1405.2546v1 · doi: 10.48550/arxiv.1405.2546 · pith_short_12: 7OILRVQGZ7PG · pith_short_16: 7OILRVQGZ7PG54ON · pith_short_8: 7OILRVQG

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/7OILRVQGZ7PG54ONWYLRFTSW7R \
  | 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: fb90b8d606cfde6ef1cdb61712ce56fc63f10e5dab4de1441c59362e44329a1b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "56cbb225473edb290e88035f094ffa2ae9015931374e8c31d41c723feebe249d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2014-05-11T16:07:14Z",
    "title_canon_sha256": "13fd4b6879c944a014501891198fe400811ed2638d93e4d4b31885a197890566"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1405.2546",
    "kind": "arxiv",
    "version": 1
  }
}