Pith Number

pith:GAQM5E2N

pith:2025:GAQM5E2N7DRVIX4CCKBQB7MOF6

not attested not anchored not stored refs pending

Spectral extremal problems for the $(p,Q)$-spectral radius of hypergraphs

Honghai Li, Jian Zheng, Li Su

arxiv:2510.02776 v3 · 2025-10-03 · 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{GAQM5E2N7DRVIX4CCKBQB7MOF6}

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	2026-06-02T02:04:48.157322Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3020ce934df8e3545f82128300fd8e2fb3b2a1999457152421639e78f780c658

Aliases

arxiv: 2510.02776 · arxiv_version: 2510.02776v3 · doi: 10.48550/arxiv.2510.02776 · pith_short_12: GAQM5E2N7DRV · pith_short_16: GAQM5E2N7DRVIX4C · pith_short_8: GAQM5E2N

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/GAQM5E2N7DRVIX4CCKBQB7MOF6 \
  | 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: 3020ce934df8e3545f82128300fd8e2fb3b2a1999457152421639e78f780c658

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ed50230d937a3ec22a4dfe1cdbf929faf0181d20feb97d64d5300c9d0f949f8f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2025-10-03T07:16:56Z",
    "title_canon_sha256": "62e8727e24ed0c085bb2f39e89ddc42bdf952d01ad75e7effdaf6b02a4f1bb21"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2510.02776",
    "kind": "arxiv",
    "version": 3
  }
}