Pith Number

pith:K74CCWNE

pith:1999:K74CCWNELKGH2Y7FPT5QCSLVNM

not attested not anchored not stored refs pending

Probability Distribution of the Shortest Path on the Percolation Cluster, its Backbone and Skeleton

Armin Bunde, H. Eduardo Roman, Markus Porto, Shlomo Havlin

arxiv:cond-mat/9904177 v1 · 1999-04-13 · 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{K74CCWNELKGH2Y7FPT5QCSLVNM}

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	2026-07-04T16:12:35.268096Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

57f82159a45a8c7d63e57cfb0149756b07bd25c5ee6f41b60ed76eb480ccc7e7

Aliases

arxiv: cond-mat/9904177 · arxiv_version: cond-mat/9904177v1 · doi: 10.48550/arxiv.cond-mat/9904177 · pith_short_12: K74CCWNELKGH · pith_short_16: K74CCWNELKGH2Y7F · pith_short_8: K74CCWNE

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/K74CCWNELKGH2Y7FPT5QCSLVNM \
  | 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: 57f82159a45a8c7d63e57cfb0149756b07bd25c5ee6f41b60ed76eb480ccc7e7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1afeb1a1bead3b8428f4ea9e58816111f3b30908f11a9a1343b2106b15bf0c85",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "1999-04-13T13:41:37Z",
    "title_canon_sha256": "a828d810b02f203fbd52d348f3d1f44773bf5f3b6b4901032ef8cdfc6f37b733"
  },
  "schema_version": "1.0",
  "source": {
    "id": "cond-mat/9904177",
    "kind": "arxiv",
    "version": 1
  }
}