Pith Number

pith:DD7LCJ36

pith:2018:DD7LCJ36W6VPJPQ53EVF4B7Y5T

not attested not anchored not stored refs pending

A Sharp Threshold for Bootstrap Percolation in a Random Hypergraph

Jonathan A. Noel, Natasha Morrison

arxiv:1806.02903 v2 · 2018-06-07 · math.CO · 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{DD7LCJ36W6VPJPQ53EVF4B7Y5T}

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

The maximum length of $K_r$-Bootstrap Percolation

Receipt and verification

First computed	2026-07-05T01:40:55.131907Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

18feb1277eb7aaf4be1dd92a5e07f8ecd24bbc604339b3bdd6423b165ed02841

Aliases

arxiv: 1806.02903 · arxiv_version: 1806.02903v2 · doi: 10.48550/arxiv.1806.02903 · pith_short_12: DD7LCJ36W6VP · pith_short_16: DD7LCJ36W6VPJPQ5 · pith_short_8: DD7LCJ36

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/DD7LCJ36W6VPJPQ53EVF4B7Y5T \
  | 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: 18feb1277eb7aaf4be1dd92a5e07f8ecd24bbc604339b3bdd6423b165ed02841

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5b0ffa4ed38172c7d2b23a5785484c2b36c30478fa2bf18e1576a4816563cf30",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2018-06-07T21:01:54Z",
    "title_canon_sha256": "3453db16ee27446d43f887ab7a3b92bda99b44840b72ce654c0f461829fff4b3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1806.02903",
    "kind": "arxiv",
    "version": 2
  }
}