Pith Number

pith:U5VXJDRH

pith:2012:U5VXJDRHNUNWAC77GXM2352DM3

not attested not anchored not stored refs pending

Bootstrap percolation on the Hamming torus

Christopher Hoffman, David Sivakoff, James Pfeiffer, Janko Gravner

arxiv:1202.5351 v5 · 2012-02-24 · 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{U5VXJDRHNUNWAC77GXM2352DM3}

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	2026-05-18T02:28:54.273152Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a76b748e276d1b600bff35d9adf74366cec9529dc0e6a42b2368a87a232b2f4c

Aliases

arxiv: 1202.5351 · arxiv_version: 1202.5351v5 · doi: 10.48550/arxiv.1202.5351 · pith_short_12: U5VXJDRHNUNW · pith_short_16: U5VXJDRHNUNWAC77 · pith_short_8: U5VXJDRH

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/U5VXJDRHNUNWAC77GXM2352DM3 \
  | 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: a76b748e276d1b600bff35d9adf74366cec9529dc0e6a42b2368a87a232b2f4c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6a5d2f9bdf49c06603ca12218cb9b6adebb972a33a747150be2681a0ac66d97d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2012-02-24T00:47:02Z",
    "title_canon_sha256": "5ad37ec5e7c32ed11070a98efa639bd75bdd3623c8493496fed4ff2ee3fa9d65"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1202.5351",
    "kind": "arxiv",
    "version": 5
  }
}