Pith Number

pith:7HQE7JJS

pith:2024:7HQE7JJSLRTSPGVYPAUTCG6FB6

not attested not anchored not stored refs pending

The top eigenvalue of uniformly random trees

G\'abor Lugosi, Louigi Addario-Berry, Roberto Imbuzeiro Oliveira

arxiv:2403.08443 v2 · 2024-03-13 · math.PR

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{7HQE7JJSLRTSPGVYPAUTCG6FB6}

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	2026-07-05T08:03:29.674587Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f9e04fa5325c67279ab87829311bc50f8bf3feb3d4d3aea0a126a7f5007c44b7

Aliases

arxiv: 2403.08443 · arxiv_version: 2403.08443v2 · doi: 10.48550/arxiv.2403.08443 · pith_short_12: 7HQE7JJSLRTS · pith_short_16: 7HQE7JJSLRTSPGVY · pith_short_8: 7HQE7JJS

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/7HQE7JJSLRTSPGVYPAUTCG6FB6 \
  | 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: f9e04fa5325c67279ab87829311bc50f8bf3feb3d4d3aea0a126a7f5007c44b7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "586eac8e84ae0857695e3051aaafcb213a563ea5e7b65905d2eeee048a5658b6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2024-03-13T11:55:57Z",
    "title_canon_sha256": "801bf9bb671b0cab7927a57645498d77a4a6278ff26d49748d4065b342c0430c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2403.08443",
    "kind": "arxiv",
    "version": 2
  }
}