Pith Number

pith:QCLBFITY

pith:2026:QCLBFITYWO3EVGMOPQ3DOWZ5A4

not attested not anchored not stored refs pending

Upper Bounds for the Largest Laplacian Eigenvalue of Simplicial Complexes

Huan-Zhi Zhang, Yi-Zheng Fan

arxiv:2606.21233 v1 · 2026-06-19 · 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{QCLBFITYWO3EVGMOPQ3DOWZ5A4}

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	2026-06-23T01:12:34.217970Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

809612a278b3b64a998e7c36375b3d0712be715d823328b1e1d3c58ffbe0e99c

Aliases

arxiv: 2606.21233 · arxiv_version: 2606.21233v1 · doi: 10.48550/arxiv.2606.21233 · pith_short_12: QCLBFITYWO3E · pith_short_16: QCLBFITYWO3EVGMO · pith_short_8: QCLBFITY

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/QCLBFITYWO3EVGMOPQ3DOWZ5A4 \
  | 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: 809612a278b3b64a998e7c36375b3d0712be715d823328b1e1d3c58ffbe0e99c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "226f7bea3ec14818817aa8608db5c60a8cc12998493f1cff41ae7359cf368a84",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2026-06-19T08:54:01Z",
    "title_canon_sha256": "83d1a47fd7045283ccbbc688e26cff43b74c1f067bc968c7cad1e790bbec9dae"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.21233",
    "kind": "arxiv",
    "version": 1
  }
}