Pith Number

pith:VGRY2C44

pith:2013:VGRY2C44JOGQ2FEKTYYYOCLJ4C

not attested not anchored not stored refs pending

Frozen percolation in two dimensions

Demeter Kiss

arxiv:1302.6727 v2 · 2013-02-27 · 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{VGRY2C44JOGQ2FEKTYYYOCLJ4C}

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	2026-05-18T03:18:40.127149Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a9a38d0b9c4b8d0d148a9e31870969e093e239dfacbaaeb5c952d3a0666c4b27

Aliases

arxiv: 1302.6727 · arxiv_version: 1302.6727v2 · doi: 10.48550/arxiv.1302.6727 · pith_short_12: VGRY2C44JOGQ · pith_short_16: VGRY2C44JOGQ2FEK · pith_short_8: VGRY2C44

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/VGRY2C44JOGQ2FEKTYYYOCLJ4C \
  | 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: a9a38d0b9c4b8d0d148a9e31870969e093e239dfacbaaeb5c952d3a0666c4b27

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "be3041a76c5bd181262af0137a679974bb1410d18b00770bc4dc0364aacc6328",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2013-02-27T11:26:06Z",
    "title_canon_sha256": "5a5cfa473d99449a3e6e593d61c5f7d954d8a4e9261b1665da0f8906dc1214f1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1302.6727",
    "kind": "arxiv",
    "version": 2
  }
}