Pith Number

pith:FRFBLHQL

pith:2025:FRFBLHQLMGK5BRSWLIB36LZ6IG

not attested not anchored not stored refs pending

Spectral Tur\'an-type problems for the $\alpha$-spectral radius of hypergraphs with degree stability

Honghai Li, Jian Zheng, Li Su

arxiv:2509.24354 v2 · 2025-09-29 · 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{FRFBLHQLMGK5BRSWLIB36LZ6IG}

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	2026-06-02T02:04:09.255296Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2c4a159e0b6195d0c6565a03bf2f3e418354fef07b5d1c3df6ab6d03eb0b6405

Aliases

arxiv: 2509.24354 · arxiv_version: 2509.24354v2 · doi: 10.48550/arxiv.2509.24354 · pith_short_12: FRFBLHQLMGK5 · pith_short_16: FRFBLHQLMGK5BRSW · pith_short_8: FRFBLHQL

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/FRFBLHQLMGK5BRSWLIB36LZ6IG \
  | 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: 2c4a159e0b6195d0c6565a03bf2f3e418354fef07b5d1c3df6ab6d03eb0b6405

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "96766a194bfb9d7beab440ccb34c9a5bf42fc061981f4486224870c47591a9c9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2025-09-29T06:53:18Z",
    "title_canon_sha256": "40a4e86acaf46c81e3f69ae08468bab5654ca1e7497a2ba0dc3e88fc79b21eff"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2509.24354",
    "kind": "arxiv",
    "version": 2
  }
}