Pith Number

pith:MKL5LISF

pith:2016:MKL5LISFO4HSYI6UPTMY6VVIW4

not attested not anchored not stored refs pending

The first few unicyclic and bicyclic hypergraphs with larger spectral radii

Chen Ouyang, Liqun Qi, Xiying Yuan

arxiv:1607.08291 v1 · 2016-07-28 · 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{MKL5LISFO4HSYI6UPTMY6VVIW4}

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	2026-05-18T01:10:19.465125Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6297d5a245770f2c23d47cd98f56a8b70ec770c51ef91d7d32553baaa7f02adc

Aliases

arxiv: 1607.08291 · arxiv_version: 1607.08291v1 · doi: 10.48550/arxiv.1607.08291 · pith_short_12: MKL5LISFO4HS · pith_short_16: MKL5LISFO4HSYI6U · pith_short_8: MKL5LISF

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/MKL5LISFO4HSYI6UPTMY6VVIW4 \
  | 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: 6297d5a245770f2c23d47cd98f56a8b70ec770c51ef91d7d32553baaa7f02adc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a6c8e88974c0ab17b036b924ffdad97652cc09078a26975f1aea589ddae89409",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2016-07-28T01:29:18Z",
    "title_canon_sha256": "e6f8e1c0aedd727f2c25099074fafdad571411c2d512fe2f9e441887daccd530"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1607.08291",
    "kind": "arxiv",
    "version": 1
  }
}