Pith Number

pith:6K4NNI2F

pith:1999:6K4NNI2FHT7ALR6K5T6NVNQD3R

not attested not anchored not stored refs pending

The diameter of the world wide web

Albert-Laszlo Barabasi (University of Notre Dame), Hawoong Jeong, Reka Albert

arxiv:cond-mat/9907038 v2 · 1999-07-02 · cond-mat.dis-nn · adap-org · cond-mat.stat-mech · cs.NI · math-ph · math.MP · nlin.AO · 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{6K4NNI2FHT7ALR6K5T6NVNQD3R}

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	2026-05-18T01:07:04.527455Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f2b8d6a3453cfe05c7caecfcdab603dc5127a6f411691fe8be3dc725b20f244a

Aliases

arxiv: cond-mat/9907038 · arxiv_version: cond-mat/9907038v2 · doi: 10.48550/arxiv.cond-mat/9907038 · pith_short_12: 6K4NNI2FHT7A · pith_short_16: 6K4NNI2FHT7ALR6K · pith_short_8: 6K4NNI2F

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/6K4NNI2FHT7ALR6K5T6NVNQD3R \
  | 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: f2b8d6a3453cfe05c7caecfcdab603dc5127a6f411691fe8be3dc725b20f244a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8149240f07374711f5aa456259b284373d7e099c356b1cac0ae4251732ca9979",
    "cross_cats_sorted": [
      "adap-org",
      "cond-mat.stat-mech",
      "cs.NI",
      "math-ph",
      "math.MP",
      "nlin.AO",
      "physics.comp-ph"
    ],
    "license": "",
    "primary_cat": "cond-mat.dis-nn",
    "submitted_at": "1999-07-02T14:51:32Z",
    "title_canon_sha256": "0e83d3a5e448cc17b5e7002a0696e23acb08c7bc3cf65e7f6f1b99a363fd27e9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "cond-mat/9907038",
    "kind": "arxiv",
    "version": 2
  }
}