Pith Number

pith:RIXRALO4

pith:2010:RIXRALO4FCP6BKNNYPGS3IQK7F

not attested not anchored not stored refs pending

Weak disorder in the stochastic mean-field model of distance II

Gerard Hooghiemstra, Remco van der Hofstad, Shankar Bhamidi

arxiv:1009.4025 v2 · 2010-09-21 · math.PR · math.ST · stat.TH

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{RIXRALO4FCP6BKNNYPGS3IQK7F}

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	2026-05-18T03:30:26.164648Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8a2f102ddc289fe0a9adc3cd2da20af9546128117842d55964d1ad35264276a8

Aliases

arxiv: 1009.4025 · arxiv_version: 1009.4025v2 · doi: 10.48550/arxiv.1009.4025 · pith_short_12: RIXRALO4FCP6 · pith_short_16: RIXRALO4FCP6BKNN · pith_short_8: RIXRALO4

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/RIXRALO4FCP6BKNNYPGS3IQK7F \
  | 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: 8a2f102ddc289fe0a9adc3cd2da20af9546128117842d55964d1ad35264276a8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e3c3914223d450caf1509a4469782621b52045088b2fbf36e5a5cc477c0a9e8b",
    "cross_cats_sorted": [
      "math.ST",
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2010-09-21T09:21:12Z",
    "title_canon_sha256": "a9542baed9f412ebdb64e1d4ef4fd62300c88505721bf2679e543b912faa080e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1009.4025",
    "kind": "arxiv",
    "version": 2
  }
}