Pith Number

pith:H4XXCHWL

pith:2016:H4XXCHWLQ3H4JOBVVC5WCKOJTK

not attested not anchored not stored refs pending

Higher order corrections for anisotropic bootstrap percolation

Aernout C. D. van Enter, Hugo Duminil-Copin, Tim Hulshof

arxiv:1611.03294 v2 · 2016-11-10 · math.PR · math.CO

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{H4XXCHWLQ3H4JOBVVC5WCKOJTK}

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	2026-05-18T00:33:27.751835Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3f2f711ecb86cfc4b835a8bb6129c99aaa1272f262a3d51f6fd71edaabd7a268

Aliases

arxiv: 1611.03294 · arxiv_version: 1611.03294v2 · doi: 10.48550/arxiv.1611.03294 · pith_short_12: H4XXCHWLQ3H4 · pith_short_16: H4XXCHWLQ3H4JOBV · pith_short_8: H4XXCHWL

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/H4XXCHWLQ3H4JOBVVC5WCKOJTK \
  | 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: 3f2f711ecb86cfc4b835a8bb6129c99aaa1272f262a3d51f6fd71edaabd7a268

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d67ed137e8bc9fdc4963efa26d3f0923362bfbdf3f0df4a2f35363d9a92d246d",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2016-11-10T13:14:57Z",
    "title_canon_sha256": "9429ca363515c37a126e22b3a97fae8fd1e397012fbcb0186d8c3b1a8ba7a63f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1611.03294",
    "kind": "arxiv",
    "version": 2
  }
}