Pith Number

pith:K62Q6AKF

pith:2014:K62Q6AKFSZQIPZG3UKZ4G57PPO

not attested not anchored not stored refs pending

Bootstrap percolation on the Hamming torus with threshold 2

Erik Slivken

arxiv:1407.2317 v5 · 2014-07-09 · 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{K62Q6AKFSZQIPZG3UKZ4G57PPO}

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	2026-05-18T00:31:36.622181Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

57b50f0145966087e4dba2b3c377ef7b94aa546e405aa0046bb7769494db4f6e

Aliases

arxiv: 1407.2317 · arxiv_version: 1407.2317v5 · doi: 10.48550/arxiv.1407.2317 · pith_short_12: K62Q6AKFSZQI · pith_short_16: K62Q6AKFSZQIPZG3 · pith_short_8: K62Q6AKF

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/K62Q6AKFSZQIPZG3UKZ4G57PPO \
  | 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: 57b50f0145966087e4dba2b3c377ef7b94aa546e405aa0046bb7769494db4f6e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "04626d04ebc45b7e72c3139c69ce4a83c207cc9014dc1634ec32bb7c888ea60e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2014-07-09T00:07:30Z",
    "title_canon_sha256": "fb7224cbb9af5360f55fc0a660fab0b7828df9bbc6b46165ba81116b08235927"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1407.2317",
    "kind": "arxiv",
    "version": 5
  }
}