Pith Number

pith:LFI546UY

pith:2022:LFI546UYAP3BQM6BV5HO4CWEWR

not attested not anchored not stored refs pending

Three-dimensional 2-critical bootstrap percolation: The stable sets approach

Daniel Blanquicett

arxiv:2201.11365 v1 · 2022-01-27 · 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{LFI546UYAP3BQM6BV5HO4CWEWR}

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	2026-07-05T03:52:01.707939Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5951de7a9803f61833c1af4eee0ac4b46b04926d384f605f4dd6999af5127501

Aliases

arxiv: 2201.11365 · arxiv_version: 2201.11365v1 · doi: 10.48550/arxiv.2201.11365 · pith_short_12: LFI546UYAP3B · pith_short_16: LFI546UYAP3BQM6B · pith_short_8: LFI546UY

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/LFI546UYAP3BQM6BV5HO4CWEWR \
  | 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: 5951de7a9803f61833c1af4eee0ac4b46b04926d384f605f4dd6999af5127501

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6fb026d439630fc545d90d84993e76183a982c086d5bfb34fd3ed8c6a9103aaa",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2022-01-27T07:59:26Z",
    "title_canon_sha256": "2129b6bc0627d8cdc3a208e55ef8a95ac19387b5c1c5d4c5d4ec82736cf0e417"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2201.11365",
    "kind": "arxiv",
    "version": 1
  }
}