Pith Number

pith:5UNE3UPB

pith:2026:5UNE3UPBY7M24YJEOPNRM5HNRE

not attested not anchored not stored refs pending

Signless Laplacian Spectral Radius and Link Homology of Simplicial Complexes

Huan-Zhi Zhang, Yi-Zheng Fan

arxiv:2606.22825 v1 · 2026-06-22 · 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{5UNE3UPBY7M24YJEOPNRM5HNRE}

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	2026-06-23T02:14:00.463478Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ed1a4dd1e1c7d9ae612473db1674ed8935260cef961c399e6e6e335069679a71

Aliases

arxiv: 2606.22825 · arxiv_version: 2606.22825v1 · doi: 10.48550/arxiv.2606.22825 · pith_short_12: 5UNE3UPBY7M2 · pith_short_16: 5UNE3UPBY7M24YJE · pith_short_8: 5UNE3UPB

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/5UNE3UPBY7M24YJEOPNRM5HNRE \
  | 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: ed1a4dd1e1c7d9ae612473db1674ed8935260cef961c399e6e6e335069679a71

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2a69566c98f89903977c03d94a40e71f72bf128ac59d0a65550da340177dd34a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2026-06-22T04:08:21Z",
    "title_canon_sha256": "bc4cdd23c5168cdb7ed7e0b60d84c180a873700416aadf20bbd866dc268433eb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.22825",
    "kind": "arxiv",
    "version": 1
  }
}