Pith Number

pith:5L6E5SUP

pith:2026:5L6E5SUPABWL6YEMPIIUKA3MNR

not attested not anchored not stored refs pending

On Lichnerowicz sharp distance-regular graphs

Heng Zhang, Kaizhe Chen, Shiping Liu

arxiv:2602.10396 v2 · 2026-02-11 · 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{5L6E5SUPABWL6YEMPIIUKA3MNR}

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	2026-06-08T01:03:58.428596Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

eafc4eca8f006cbf608c7a1145036c6c749010d17de66097dfe1f1e04befbece

Aliases

arxiv: 2602.10396 · arxiv_version: 2602.10396v2 · doi: 10.48550/arxiv.2602.10396 · pith_short_12: 5L6E5SUPABWL · pith_short_16: 5L6E5SUPABWL6YEM · pith_short_8: 5L6E5SUP

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/5L6E5SUPABWL6YEMPIIUKA3MNR \
  | 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: eafc4eca8f006cbf608c7a1145036c6c749010d17de66097dfe1f1e04befbece

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "56fc18c3ab0ab01d4e48753ad402dec08186e58a4554af7740df86d7079d6026",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2026-02-11T00:53:14Z",
    "title_canon_sha256": "08edca4ad215011218eebe14adb4a4ec8c479188accae5fe83aa882cdd271d6f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2602.10396",
    "kind": "arxiv",
    "version": 2
  }
}