Pith Number

pith:H44OPTEW

pith:2018:H44OPTEWVFOPZ6LWQYCZSP7GYP

not attested not anchored not stored refs pending

The second term for two-neighbour bootstrap percolation in two dimensions

Ivailo Hartarsky, Robert Morris

arxiv:1806.08931 v1 · 2018-06-23 · math.PR · 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{H44OPTEWVFOPZ6LWQYCZSP7GYP}

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	2026-07-05T00:43:52.571051Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3f38e7cc96a95cfcf9768605993fe6c3c0f783e9216329019920b9e2984f3412

Aliases

arxiv: 1806.08931 · arxiv_version: 1806.08931v1 · doi: 10.48550/arxiv.1806.08931 · pith_short_12: H44OPTEWVFOP · pith_short_16: H44OPTEWVFOPZ6LW · pith_short_8: H44OPTEW

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/H44OPTEWVFOPZ6LWQYCZSP7GYP \
  | 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: 3f38e7cc96a95cfcf9768605993fe6c3c0f783e9216329019920b9e2984f3412

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1c57e8ec6c396f255df5c01707b21fc5ffce05c601e20811088d3869688ed6a2",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2018-06-23T09:32:37Z",
    "title_canon_sha256": "4e18440cf108ce018b0e625cfe8b85af0264537bd1b553e13b4238306e0b14f8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1806.08931",
    "kind": "arxiv",
    "version": 1
  }
}