Pith Number

pith:QFKP4BZL

pith:2023:QFKP4BZLC3VLJ7T4Q6N7MMOGJU

not attested not anchored not stored refs pending

On the (non-)existence of tight distance-regular graphs: a local approach

Jack H. Koolen, Jae-Ho Lee, Shuang-Dong Li, Xiaoye Liang, Ying-Ying Tan, Yun-Han Li

arxiv:2312.05595 v3 · 2023-12-09 · 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{QFKP4BZLC3VLJ7T4Q6N7MMOGJU}

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	2026-07-05T08:17:29.681636Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8154fe072b16eab4fe7c879bf631c64d16a6d201ced4a2ee232c26cb7454c401

Aliases

arxiv: 2312.05595 · arxiv_version: 2312.05595v3 · doi: 10.48550/arxiv.2312.05595 · pith_short_12: QFKP4BZLC3VL · pith_short_16: QFKP4BZLC3VLJ7T4 · pith_short_8: QFKP4BZL

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/QFKP4BZLC3VLJ7T4Q6N7MMOGJU \
  | 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: 8154fe072b16eab4fe7c879bf631c64d16a6d201ced4a2ee232c26cb7454c401

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c4bc9fe3ec30a422de095053990e0f71789bd7424cf675f1597df4d564479e1a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2023-12-09T15:26:01Z",
    "title_canon_sha256": "6e5c9c00620ce6ec70feafc6e4a39e10f9ecca7e66434c5f31adfee69afae3b6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2312.05595",
    "kind": "arxiv",
    "version": 3
  }
}