Pith Number

pith:ZGN7YTSQ

pith:2020:ZGN7YTSQDFYBTX3CWQZQFL5OLF

not attested not anchored not stored refs pending

Limits of multiplicative inhomogeneous random graphs and L\'evy trees: Limit theorems

Minmin Wang, Nicolas Broutin, Thomas Duquesne

arxiv:2002.02769 v1 · 2020-02-05 · math.PR · 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{ZGN7YTSQDFYBTX3CWQZQFL5OLF}

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	2026-07-05T00:38:59.018712Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c99bfc4e50197019df62b43302afae5971b81b4739b25a6f7966b42df0f603d4

Aliases

arxiv: 2002.02769 · arxiv_version: 2002.02769v1 · doi: 10.48550/arxiv.2002.02769 · pith_short_12: ZGN7YTSQDFYB · pith_short_16: ZGN7YTSQDFYBTX3C · pith_short_8: ZGN7YTSQ

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/ZGN7YTSQDFYBTX3CWQZQFL5OLF \
  | 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: c99bfc4e50197019df62b43302afae5971b81b4739b25a6f7966b42df0f603d4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d1e538c0147d3525558d81c5e31d2f02e4e53f5d3a12d3a6dddbbca52affaf3b",
    "cross_cats_sorted": [
      "cs.DM",
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2020-02-05T21:25:03Z",
    "title_canon_sha256": "e11588c3821afd38740e98d7bbc87843b1b00a2424b41804bd5f454840ce4e3e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2002.02769",
    "kind": "arxiv",
    "version": 1
  }
}