Pith Number

pith:4DZQAAKP

pith:2015:4DZQAAKP2MBUAA4IL54NB7ZV3Z

not attested not anchored not stored refs pending

The proof of a conjecture on largest Laplacian and signless Laplacian H-eigenvalues of uniform hypergraphs

Jiayu Shao, Liqun Qi, Xiying Yuan

arxiv:1506.03330 v1 · 2015-06-09 · 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{4DZQAAKP2MBUAA4IL54NB7ZV3Z}

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	2026-05-18T01:55:24.999623Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e0f300014fd3034003885f78d0ff35de7839e1b110fe039fde36464f3b532a4d

Aliases

arxiv: 1506.03330 · arxiv_version: 1506.03330v1 · doi: 10.48550/arxiv.1506.03330 · pith_short_12: 4DZQAAKP2MBU · pith_short_16: 4DZQAAKP2MBUAA4I · pith_short_8: 4DZQAAKP

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/4DZQAAKP2MBUAA4IL54NB7ZV3Z \
  | 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: e0f300014fd3034003885f78d0ff35de7839e1b110fe039fde36464f3b532a4d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c4ee4e97c6ace727753d8587dbf53dc7de78fcacf311c341122cccc668c13b83",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2015-06-09T13:22:49Z",
    "title_canon_sha256": "938c6fbd0350033cd8e6968947be1ba491c655edea5dbeb88679dc4da835f8a4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1506.03330",
    "kind": "arxiv",
    "version": 1
  }
}