Pith Number

pith:KSTXB7YD

pith:2018:KSTXB7YDMJNQ3SPWJVRSQKG3QF

not attested not anchored not stored refs pending

The extremal $p$-spectral radius of Berge-hypergraphs

Lele Liu, Linyuan Lu, Liying Kang, Zhiyu Wang

arxiv:1812.06032 v2 · 2018-12-14 · 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{KSTXB7YDMJNQ3SPWJVRSQKG3QF}

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	2026-05-17T23:58:08.300733Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

54a770ff03625b0dc9f64d632828db8160cfdcc3b70c349e7ac2db75bb7e488d

Aliases

arxiv: 1812.06032 · arxiv_version: 1812.06032v2 · doi: 10.48550/arxiv.1812.06032 · pith_short_12: KSTXB7YDMJNQ · pith_short_16: KSTXB7YDMJNQ3SPW · pith_short_8: KSTXB7YD

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/KSTXB7YDMJNQ3SPWJVRSQKG3QF \
  | 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: 54a770ff03625b0dc9f64d632828db8160cfdcc3b70c349e7ac2db75bb7e488d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "18abf699961a9d8d081e6a731888de9f05dd46983923c73b2ca2168134662fb3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2018-12-14T17:12:58Z",
    "title_canon_sha256": "0c5a8726ea9ba3f8c55ec34f254e2386738eb985be4069a632877f9b77eb6adb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1812.06032",
    "kind": "arxiv",
    "version": 2
  }
}