Pith Number

pith:7SVNQL5V

pith:2018:7SVNQL5VXUYFHPDQ47C76KITDZ

not attested not anchored not stored refs pending

Bootstrap percolation on the product of the two-dimensional lattice with a Hamming square

David Sivakoff, Janko Gravner

arxiv:1807.10323 v1 · 2018-07-26 · 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{7SVNQL5VXUYFHPDQ47C76KITDZ}

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	2026-05-18T00:09:40.947635Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fcaad82fb5bd3053bc70e7c5ff29131e47fd93e867045b7d6e49028c19436132

Aliases

arxiv: 1807.10323 · arxiv_version: 1807.10323v1 · doi: 10.48550/arxiv.1807.10323 · pith_short_12: 7SVNQL5VXUYF · pith_short_16: 7SVNQL5VXUYFHPDQ · pith_short_8: 7SVNQL5V

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/7SVNQL5VXUYFHPDQ47C76KITDZ \
  | 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: fcaad82fb5bd3053bc70e7c5ff29131e47fd93e867045b7d6e49028c19436132

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8d483ebf8738d5cd04615230170325036ed4d2cab2e3733577f30cf848019016",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2018-07-26T19:03:08Z",
    "title_canon_sha256": "88cc0521ff73f46aabbad5fe03cb97cf34fe8277a9fe69f467c74e6a4ac420f4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1807.10323",
    "kind": "arxiv",
    "version": 1
  }
}