Pith Number

pith:KZATAT45

pith:1999:KZATAT45VGKWK47FV567ZJGRTX

not attested not anchored not stored refs pending

Scaling of the distribution of shortest paths in percolation

H. Eugene Stanley, Nikolay V. Dokholyan, Peter R. King, Sergey V. Buldyrev, Shlomo Havlin, Youngki Lee

arxiv:cond-mat/9908435 v1 · 1999-08-29 · cond-mat.stat-mech · 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{KZATAT45VGKWK47FV567ZJGRTX}

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	2026-05-18T01:39:28.404145Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5641304f9da9956573e5af7dfca4d19df8bdf7329dbe2087ba7504397d4ac797

Aliases

arxiv: cond-mat/9908435 · arxiv_version: cond-mat/9908435v1 · doi: 10.48550/arxiv.cond-mat/9908435 · pith_short_12: KZATAT45VGKW · pith_short_16: KZATAT45VGKWK47F · pith_short_8: KZATAT45

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/KZATAT45VGKWK47FV567ZJGRTX \
  | 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: 5641304f9da9956573e5af7dfca4d19df8bdf7329dbe2087ba7504397d4ac797

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c4f1bf0658d7a66a9d7464e9ee358eaff9afc41591867b79635b321eedcedd58",
    "cross_cats_sorted": [
      "cond-mat.dis-nn"
    ],
    "license": "",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "1999-08-29T21:27:26Z",
    "title_canon_sha256": "2220126a6042de82b3e565b1a15a15fe261390d221798a1fcc1a66890993f677"
  },
  "schema_version": "1.0",
  "source": {
    "id": "cond-mat/9908435",
    "kind": "arxiv",
    "version": 1
  }
}