Pith Number

pith:KTKFNEHK

pith:2018:KTKFNEHK2RY42IVIXH55VPH2PC

not attested not anchored not stored refs pending

There does not exist a distance-regular graph with intersection array $\{80, 54,12; 1, 6, 60\}$

Jack H. Koolen, Jongyook Park, Masood Ur Rehman, Quaid Iqbal

arxiv:1809.10029 v1 · 2018-09-26 · 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{KTKFNEHK2RY42IVIXH55VPH2PC}

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	2026-05-18T00:04:42.817463Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

54d45690ead471cd22a8b9fbdabcfa78b2f3822d86d1677a858cb9aa1aee0292

Aliases

arxiv: 1809.10029 · arxiv_version: 1809.10029v1 · doi: 10.48550/arxiv.1809.10029 · pith_short_12: KTKFNEHK2RY4 · pith_short_16: KTKFNEHK2RY42IVI · pith_short_8: KTKFNEHK

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/KTKFNEHK2RY42IVIXH55VPH2PC \
  | 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: 54d45690ead471cd22a8b9fbdabcfa78b2f3822d86d1677a858cb9aa1aee0292

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c128896ec4fc72e5c80e0fbbf03922a11132e51c179b9c6faa5fd3a616b42ca6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2018-09-26T14:37:49Z",
    "title_canon_sha256": "bde3377fca39cd9c57629e5a3743485c700dc060291ba69dd578110176ef9dac"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1809.10029",
    "kind": "arxiv",
    "version": 1
  }
}