Pith Number

pith:WZEM7BBY

pith:2018:WZEM7BBY65X3HKHSVZZSSSI527

not attested not anchored not stored refs pending

Complexity of 2D bootstrap percolation difficulty: Algorithm and NP-hardness

Ivailo Hartarsky, Tam\'as R\'obert Mezei

arxiv:1809.01525 v3 · 2018-09-05 · math.CO · cs.CC · cs.DM

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{WZEM7BBY65X3HKHSVZZSSSI527}

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	2026-07-05T01:43:36.650023Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b648cf8438f76fb3a8f2ae7329491dd7d97028ce520022129fa8050433ed9e3e

Aliases

arxiv: 1809.01525 · arxiv_version: 1809.01525v3 · doi: 10.48550/arxiv.1809.01525 · pith_short_12: WZEM7BBY65X3 · pith_short_16: WZEM7BBY65X3HKHS · pith_short_8: WZEM7BBY

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/WZEM7BBY65X3HKHSVZZSSSI527 \
  | 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: b648cf8438f76fb3a8f2ae7329491dd7d97028ce520022129fa8050433ed9e3e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "42503f0c0d6fcb315b74c9cde42777a9650dfeb7e3e808d37fe803c71482a516",
    "cross_cats_sorted": [
      "cs.CC",
      "cs.DM"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2018-09-05T14:03:48Z",
    "title_canon_sha256": "a3144aed380ae5d2e4469f596d19193355dfa3bf9f9267a1d067dfb4d25d6732"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1809.01525",
    "kind": "arxiv",
    "version": 3
  }
}