Pith Number

pith:JJLEU6XO

pith:2026:JJLEU6XO5TU2I2NCW4YGJ3EQSI

not attested not anchored not stored refs pending

On a distance Laplacian analog of Brouwer's conjecture for several classes of graphs

Silin Huang

arxiv:2606.06945 v1 · 2026-06-05 · 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{JJLEU6XO5TU2I2NCW4YGJ3EQSI}

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	2026-06-08T01:04:37.331233Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4a564a7aeeece9a469a2b73064ec90921a34cdb8aadf3822e6a1113ea2e2486f

Aliases

arxiv: 2606.06945 · arxiv_version: 2606.06945v1 · doi: 10.48550/arxiv.2606.06945 · pith_short_12: JJLEU6XO5TU2 · pith_short_16: JJLEU6XO5TU2I2NC · pith_short_8: JJLEU6XO

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/JJLEU6XO5TU2I2NCW4YGJ3EQSI \
  | 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: 4a564a7aeeece9a469a2b73064ec90921a34cdb8aadf3822e6a1113ea2e2486f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "562e43b0449d96142767a2206af0483416585911765aa40a74011c38bd176bac",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-nc-nd/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2026-06-05T06:17:01Z",
    "title_canon_sha256": "089ae0ac82462fdffd26d90a0c369716186de8f0b3ca0f7e6accb8a73a61200e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.06945",
    "kind": "arxiv",
    "version": 1
  }
}