Pith Number

pith:CRHUTPAC

pith:2013:CRHUTPACWFXHPMUKIN6OKBHMKC

not attested not anchored not stored refs pending

Maximum percolation time in two-dimensional bootstrap percolation

Fabricio Benevides, Micha{\l} Przykucki

arxiv:1310.4457 v2 · 2013-10-16 · 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{CRHUTPACWFXHPMUKIN6OKBHMKC}

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	2026-05-18T02:38:37.372759Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

144f49bc02b16e77b28a437ce504ec50ad6242caa8cdf83c8c602bc9a33895cb

Aliases

arxiv: 1310.4457 · arxiv_version: 1310.4457v2 · doi: 10.48550/arxiv.1310.4457 · pith_short_12: CRHUTPACWFXH · pith_short_16: CRHUTPACWFXHPMUK · pith_short_8: CRHUTPAC

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/CRHUTPACWFXHPMUKIN6OKBHMKC \
  | 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: 144f49bc02b16e77b28a437ce504ec50ad6242caa8cdf83c8c602bc9a33895cb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "47c00df8802799a7bb7531253d38100a8eeae80744a4a277979caa788f47a4ca",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2013-10-16T17:34:30Z",
    "title_canon_sha256": "2cfac493ce2b00aa5394be32886fd17d95e2479dc534a94072aa43e0ae630046"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1310.4457",
    "kind": "arxiv",
    "version": 2
  }
}