Pith Number

pith:ZUG3UPP4

pith:2011:ZUG3UPP4TW66X36KRR3FFXRIW5

not attested not anchored not stored refs pending

Gaussian model of explosive percolation in three and higher dimensions

H. J. Herrmann, K. J. Schrenk, N. A. M. Ara\'ujo

arxiv:1104.5376 v2 · 2011-04-28 · cond-mat.stat-mech · physics.comp-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZUG3UPP4TW66X36KRR3FFXRIW5}

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	2026-05-18T04:10:23.487818Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cd0dba3dfc9dbdebefca8c7652de28b75627db52bbc318ed27991b960f546127

Aliases

arxiv: 1104.5376 · arxiv_version: 1104.5376v2 · doi: 10.48550/arxiv.1104.5376 · pith_short_12: ZUG3UPP4TW66 · pith_short_16: ZUG3UPP4TW66X36K · pith_short_8: ZUG3UPP4

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/ZUG3UPP4TW66X36KRR3FFXRIW5 \
  | 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: cd0dba3dfc9dbdebefca8c7652de28b75627db52bbc318ed27991b960f546127

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5643c5d8d908b803ba811271976aa7f9b56e2ee29abac680ab43fa95bd40fc8f",
    "cross_cats_sorted": [
      "physics.comp-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2011-04-28T13:02:13Z",
    "title_canon_sha256": "90c80a74a65ce4513a078ac02fc066523fc2e3ed619bd1942def43c9b3622202"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1104.5376",
    "kind": "arxiv",
    "version": 2
  }
}