Pith Number

pith:ZTFSZ5XP

pith:2011:ZTFSZ5XP32U4GOK56HZ2A3ORVV

not attested not anchored not stored refs pending

Metastability threshold for anisotropic bootstrap percolation in three dimensions

Aernout van Enter, Anne Fey

arxiv:1110.0733 v1 · 2011-10-04 · math-ph · cond-mat.stat-mech · math.MP · 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{ZTFSZ5XP32U4GOK56HZ2A3ORVV}

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	2026-05-18T02:00:18.144297Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cccb2cf6efdea9c3395df1f3a06dd1ad7af5afce1ca13fcc1f8579307b4020cf

Aliases

arxiv: 1110.0733 · arxiv_version: 1110.0733v1 · doi: 10.48550/arxiv.1110.0733 · pith_short_12: ZTFSZ5XP32U4 · pith_short_16: ZTFSZ5XP32U4GOK5 · pith_short_8: ZTFSZ5XP

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/ZTFSZ5XP32U4GOK56HZ2A3ORVV \
  | 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: cccb2cf6efdea9c3395df1f3a06dd1ad7af5afce1ca13fcc1f8579307b4020cf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "80a80441878a3add939cf9d31bcc939ebe3d426e37ea8cd09716d4c2d19b7e7e",
    "cross_cats_sorted": [
      "cond-mat.stat-mech",
      "math.MP",
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2011-10-04T15:59:03Z",
    "title_canon_sha256": "4652aea671e346443bd4ed5845d9129f5cdc428535e827404d4a144dc9b7b3ab"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1110.0733",
    "kind": "arxiv",
    "version": 1
  }
}