Pith Number

pith:5ZFVPGTS

pith:2016:5ZFVPGTSIEPX7AGP6GSQ7FG23M

not attested not anchored not stored refs pending

Large Values of the Clustering Coefficient

Dieter Rautenbach, Irene Heinrich, Michael Gentner, Simon J\"ager

arxiv:1611.06135 v1 · 2016-11-18 · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{5ZFVPGTSIEPX7AGP6GSQ7FG23M}

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	2026-05-18T00:57:42.993199Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ee4b579a72411f7f80cff1a50f94dadb2b67467b305d3518cfed1d69a3eee1f6

Aliases

arxiv: 1611.06135 · arxiv_version: 1611.06135v1 · doi: 10.48550/arxiv.1611.06135 · pith_short_12: 5ZFVPGTSIEPX · pith_short_16: 5ZFVPGTSIEPX7AGP · pith_short_8: 5ZFVPGTS

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/5ZFVPGTSIEPX7AGP6GSQ7FG23M \
  | 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: ee4b579a72411f7f80cff1a50f94dadb2b67467b305d3518cfed1d69a3eee1f6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "977df609274205658b9883c8f2fb3301ba76bfc45d87391365ad0188555c16e7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2016-11-18T15:58:10Z",
    "title_canon_sha256": "8dc2ea9eefa6d4e028a27cdec0e1fe94e5cb979091b555435f650bb29d05c534"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1611.06135",
    "kind": "arxiv",
    "version": 1
  }
}