Pith Number

pith:HWHLNBT7

pith:2018:HWHLNBT7KVQVMLQM24G6IZAW36

not attested not anchored not stored refs pending

On the integrability of strongly regular graphs

Jack H. Koolen, Masood Ur Rehman, Qianqian Yang

arxiv:1806.11325 v1 · 2018-06-29 · 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{HWHLNBT7KVQVMLQM24G6IZAW36}

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	2026-05-18T00:12:02.910626Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3d8eb6867f5561562e0cd70de46416df881812455dd16648cf68e1e276373ae8

Aliases

arxiv: 1806.11325 · arxiv_version: 1806.11325v1 · doi: 10.48550/arxiv.1806.11325 · pith_short_12: HWHLNBT7KVQV · pith_short_16: HWHLNBT7KVQVMLQM · pith_short_8: HWHLNBT7

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/HWHLNBT7KVQVMLQM24G6IZAW36 \
  | 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: 3d8eb6867f5561562e0cd70de46416df881812455dd16648cf68e1e276373ae8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7b1f9e1dc03578ddf5b52dd0f04ef7f42f3af28eeae0d85eba36ebdd00d4116b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2018-06-29T09:53:26Z",
    "title_canon_sha256": "243184fb7732457a82425c60b6408d4c9d8edae07adbbe88615f110eca88f28a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1806.11325",
    "kind": "arxiv",
    "version": 1
  }
}