Pith Number

pith:MTBWWBID

pith:2018:MTBWWBIDNCO26NDQDIGB2LG547

not attested not anchored not stored refs pending

The maximum $p$-Spectral Radius of Hypergraphs with $m$ Edges

Linyuan Lu

arxiv:1803.08653 v1 · 2018-03-23 · 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{MTBWWBIDNCO26NDQDIGB2LG547}

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	2026-05-18T00:20:18.950929Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

64c36b0503689daf34701a0c1d2cdde7f1009b832903b7fc04a91ce1daf6a394

Aliases

arxiv: 1803.08653 · arxiv_version: 1803.08653v1 · doi: 10.48550/arxiv.1803.08653 · pith_short_12: MTBWWBIDNCO2 · pith_short_16: MTBWWBIDNCO26NDQ · pith_short_8: MTBWWBID

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/MTBWWBIDNCO26NDQDIGB2LG547 \
  | 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: 64c36b0503689daf34701a0c1d2cdde7f1009b832903b7fc04a91ce1daf6a394

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7c73dc02bf61934294e44a0896e719a89ddf3a65abfdcbae7e6ed8ecdbef64e4",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2018-03-23T04:22:35Z",
    "title_canon_sha256": "ab3db3770b281d3c24ea59b86f551bec030de36deb5535a343177d8e1b406279"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1803.08653",
    "kind": "arxiv",
    "version": 1
  }
}