Pith Number

pith:VR4F6ZBB

pith:2015:VR4F6ZBBPQ7H3BF5TF64GCMSVY

not attested not anchored not stored refs pending

Hybrid Percolation Transition in Cluster Merging Processes: Continuously Varying Exponents

B. Kahng, H. J. Herrmann, J. S. Lee, Y. S. Cho

arxiv:1512.04624 v2 · 2015-12-15 · cond-mat.stat-mech

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VR4F6ZBBPQ7H3BF5TF64GCMSVY}

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	2026-05-18T01:22:32.354732Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ac785f64217c3e7d84bd997dc30992ae2d3a6dddffc78ac73ca781f4b62692d8

Aliases

arxiv: 1512.04624 · arxiv_version: 1512.04624v2 · doi: 10.48550/arxiv.1512.04624 · pith_short_12: VR4F6ZBBPQ7H · pith_short_16: VR4F6ZBBPQ7H3BF5 · pith_short_8: VR4F6ZBB

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/VR4F6ZBBPQ7H3BF5TF64GCMSVY \
  | 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: ac785f64217c3e7d84bd997dc30992ae2d3a6dddffc78ac73ca781f4b62692d8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "35eb8f54f0822a4aaed9e74bbc6a68d366b3589dbbfbe3a386cb2978ca50cefe",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2015-12-15T02:14:18Z",
    "title_canon_sha256": "e893bf906008cc6acf1bdde2887fbb5683d6baa4eea9463061a418290f27a9aa"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.04624",
    "kind": "arxiv",
    "version": 2
  }
}