Pith Number

pith:DS4XLGPR

pith:2011:DS4XLGPRCMXD4QKEWE6MOWO6GD

not attested not anchored not stored refs pending

A relationship between the diameter and the intersection number c2 for a distance-regular graph

Jack H. Koolen, Jongyook Park

arxiv:1109.2195 v1 · 2011-09-10 · 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{DS4XLGPRCMXD4QKEWE6MOWO6GD}

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	2026-05-18T04:13:38.328658Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1cb97599f1132e3e4144b13cc759de30e9db1663f6eda3359e2429c7c4b71fa4

Aliases

arxiv: 1109.2195 · arxiv_version: 1109.2195v1 · doi: 10.48550/arxiv.1109.2195 · pith_short_12: DS4XLGPRCMXD · pith_short_16: DS4XLGPRCMXD4QKE · pith_short_8: DS4XLGPR

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/DS4XLGPRCMXD4QKEWE6MOWO6GD \
  | 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: 1cb97599f1132e3e4144b13cc759de30e9db1663f6eda3359e2429c7c4b71fa4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8a458e4cd1765fd507aaf44238d7fd1868f17fc137173fb302c1301f3a4b1d30",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2011-09-10T05:08:20Z",
    "title_canon_sha256": "316b89a971a12b3b2fcf2993fd25f38a1cbf62c6bc99b2eac425b44003e7b476"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1109.2195",
    "kind": "arxiv",
    "version": 1
  }
}