Pith Number

pith:ICM3KVJ6

pith:2011:ICM3KVJ6O54NE24ZK7LCK6YRKN

not attested not anchored not stored refs pending

Explosive Percolation is Continuous, but with Unusual Finite Size Behavior

Claire Christensen, Golnoosh Bizhani, Maya Paczuski, Peter Grassberger, Seung-Woo Son

arxiv:1103.3728 v2 · 2011-03-18 · cond-mat.dis-nn

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ICM3KVJ6O54NE24ZK7LCK6YRKN}

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	2026-05-18T03:23:35.264908Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4099b5553e7778d26b9957d6257b11535afa0a9b588584485db70a1c7c8581ed

Aliases

arxiv: 1103.3728 · arxiv_version: 1103.3728v2 · doi: 10.48550/arxiv.1103.3728 · pith_short_12: ICM3KVJ6O54N · pith_short_16: ICM3KVJ6O54NE24Z · pith_short_8: ICM3KVJ6

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/ICM3KVJ6O54NE24ZK7LCK6YRKN \
  | 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: 4099b5553e7778d26b9957d6257b11535afa0a9b588584485db70a1c7c8581ed

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "42e738b5d985cfd584b67aebf67b89fbaf9145f65bb5d18b6e1f1b50785a7c96",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.dis-nn",
    "submitted_at": "2011-03-18T23:25:39Z",
    "title_canon_sha256": "cf85fbdbb42a5f6a088e50cfa542dd6fe0af9f5dfd9e9059ddde20a0c53b1001"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1103.3728",
    "kind": "arxiv",
    "version": 2
  }
}