Pith Number

pith:2UMSLXIJ

pith:2010:2UMSLXIJSNXGG6XCFRBUJEM7U2

not attested not anchored not stored refs pending

Tricritical point in explosive percolation

Hans J. Herrmann, Jose S. Andrade Jr, Nuno A. M. Araujo, Robert M. Ziff

arxiv:1012.2339 v2 · 2010-12-10 · 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{2UMSLXIJSNXGG6XCFRBUJEM7U2}

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	2026-05-18T04:27:26.457191Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d51925dd09936e637ae22c4344919fa6909c89e6b0f0ef142a5566422d9c1920

Aliases

arxiv: 1012.2339 · arxiv_version: 1012.2339v2 · doi: 10.48550/arxiv.1012.2339 · pith_short_12: 2UMSLXIJSNXG · pith_short_16: 2UMSLXIJSNXGG6XC · pith_short_8: 2UMSLXIJ

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/2UMSLXIJSNXGG6XCFRBUJEM7U2 \
  | 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: d51925dd09936e637ae22c4344919fa6909c89e6b0f0ef142a5566422d9c1920

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4efaca84a0e14a7e8f0308b4ac3389209c70966f1635940e1c2ef5252b35c7d3",
    "cross_cats_sorted": [
      "physics.comp-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2010-12-10T18:45:07Z",
    "title_canon_sha256": "0f61f4e62dde545f8324ae1359ab22440c84828bd7135c1458090ce28d7518c0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1012.2339",
    "kind": "arxiv",
    "version": 2
  }
}