Pith Number

pith:MC3BUOEI

pith:2018:MC3BUOEI5BDH2YFD3KXPS6MUWQ

not attested not anchored not stored refs pending

The genus of the Erd\H{o}s-R\'enyi random graph and the fragile genus property

Chris Dowden, Michael Krivelevich, Mihyun Kang

arxiv:1806.05468 v2 · 2018-06-14 · 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{MC3BUOEI5BDH2YFD3KXPS6MUWQ}

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	2026-05-17T23:50:07.219854Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

60b61a3888e8467d60a3daaef97994b42a43a0b18c21e983c9fead84d633f8dd

Aliases

arxiv: 1806.05468 · arxiv_version: 1806.05468v2 · doi: 10.48550/arxiv.1806.05468 · pith_short_12: MC3BUOEI5BDH · pith_short_16: MC3BUOEI5BDH2YFD · pith_short_8: MC3BUOEI

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/MC3BUOEI5BDH2YFD3KXPS6MUWQ \
  | 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: 60b61a3888e8467d60a3daaef97994b42a43a0b18c21e983c9fead84d633f8dd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b4fc1b64cdaf30f59b958ad6c8fbb527e1b0eee1bb547791b2a63b123f5a2fe2",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2018-06-14T11:20:24Z",
    "title_canon_sha256": "59de4e570c5c9b6c838fb59b6bad389819ad849b36a944b8f5d6e835fce98468"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1806.05468",
    "kind": "arxiv",
    "version": 2
  }
}