Pith Number

pith:GMMKIWNM

pith:2023:GMMKIWNMNVDHNCQSFTL32TXOBK

not attested not anchored not stored refs pending

On the $\alpha$-spectral radius of hypergraphs

Bizhu Lin, Bo Zhou, Haiyan Guo

arxiv:2303.16631 v1 · 2023-03-29 · cs.DM · 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{GMMKIWNMNVDHNCQSFTL32TXOBK}

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	2026-07-05T05:56:08.760572Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3318a459ac6d46768a122cd7bd4eee0a92c35fc0a125b1c979f35ea90f28b7d7

Aliases

arxiv: 2303.16631 · arxiv_version: 2303.16631v1 · doi: 10.48550/arxiv.2303.16631 · pith_short_12: GMMKIWNMNVDH · pith_short_16: GMMKIWNMNVDHNCQS · pith_short_8: GMMKIWNM

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/GMMKIWNMNVDHNCQSFTL32TXOBK \
  | 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: 3318a459ac6d46768a122cd7bd4eee0a92c35fc0a125b1c979f35ea90f28b7d7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "263a21b64b04a1ad2966205b082e35ad1cf482efa3130dab296ca3752e52ab6e",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.DM",
    "submitted_at": "2023-03-29T12:38:00Z",
    "title_canon_sha256": "31b68499fa69100b0fa9efff1ca8491a8e15803fbadb4cb2aaef88bb113dc36d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2303.16631",
    "kind": "arxiv",
    "version": 1
  }
}