Pith Number

pith:ZFTXX4JJ

pith:2018:ZFTXX4JJL7VOGQ6EF6UPASQKC6

not attested not anchored not stored refs pending

Geometry of the minimal spanning tree of a random $3$-regular graph

Louigi Addario-Berry, Sanchayan Sen

arxiv:1810.03802 v5 · 2018-10-09 · math.PR · 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{ZFTXX4JJL7VOGQ6EF6UPASQKC6}

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.

Cited by

1 paper in Pith

On breadth-first constructions of scaling limits of random graphs and random unicellular maps

Receipt and verification

First computed	2026-07-05T02:44:30.531225Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c9677bf1295feae343c42fa8f04a0a1783901707e3c815d854c718ea19d624e9

Aliases

arxiv: 1810.03802 · arxiv_version: 1810.03802v5 · doi: 10.48550/arxiv.1810.03802 · pith_short_12: ZFTXX4JJL7VO · pith_short_16: ZFTXX4JJL7VOGQ6E · pith_short_8: ZFTXX4JJ

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/ZFTXX4JJL7VOGQ6EF6UPASQKC6 \
  | 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: c9677bf1295feae343c42fa8f04a0a1783901707e3c815d854c718ea19d624e9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6b358092d8a62608e93b89f978ad29ed1f5e94bbd9af1ae7e8a2a9db0ba9b5d8",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2018-10-09T04:06:26Z",
    "title_canon_sha256": "cf013909ecdb05bef02393de6aa1a045d55e05607e5577fdbff1ddde890cc8fd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1810.03802",
    "kind": "arxiv",
    "version": 5
  }
}