Pith Number

pith:OUSN37TB

pith:2016:OUSN37TBP2I6Z4QHML345DDIJF

not attested not anchored not stored refs pending

Law of large numbers for the largest component in a hyperbolic model of complex networks

Nikolaos Fountoulakis, Tobias M\"uller

arxiv:1604.02118 v2 · 2016-04-07 · math.PR · 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{OUSN37TBP2I6Z4QHML345DDIJF}

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	2026-05-18T01:06:24.347257Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7524ddfe617e91ecf20762f7ce8c6849574f6087a7d13723e09dc67442270458

Aliases

arxiv: 1604.02118 · arxiv_version: 1604.02118v2 · doi: 10.48550/arxiv.1604.02118 · pith_short_12: OUSN37TBP2I6 · pith_short_16: OUSN37TBP2I6Z4QH · pith_short_8: OUSN37TB

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/OUSN37TBP2I6Z4QHML345DDIJF \
  | 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: 7524ddfe617e91ecf20762f7ce8c6849574f6087a7d13723e09dc67442270458

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "59327c678d2949ad9177f8ede5d031f07c758de8dd0d8ee9756d13262c405761",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2016-04-07T19:11:59Z",
    "title_canon_sha256": "a0e2c3533a297c9c849403413ed8d407309602a0a65f1cbc9e3aeba9e167c533"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1604.02118",
    "kind": "arxiv",
    "version": 2
  }
}