Pith Number

pith:PXWZZIIV

pith:2010:PXWZZIIVJJX6GWWIWPXIRUR42I

not attested not anchored not stored refs pending

Ising models on power-law random graphs

Cristian Giardin\`a, Remco van der Hofstad, Sander Dommers

arxiv:1005.4556 v2 · 2010-05-25 · math.PR · cond-mat.stat-mech · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PXWZZIIVJJX6GWWIWPXIRUR42I}

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	2026-05-18T04:19:04.450604Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7ded9ca1154a6fe35ac8b3ee88d23cd216c553ea86c8fad53c95249cdd779850

Aliases

arxiv: 1005.4556 · arxiv_version: 1005.4556v2 · doi: 10.48550/arxiv.1005.4556 · pith_short_12: PXWZZIIVJJX6 · pith_short_16: PXWZZIIVJJX6GWWI · pith_short_8: PXWZZIIV

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/PXWZZIIVJJX6GWWIWPXIRUR42I \
  | 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: 7ded9ca1154a6fe35ac8b3ee88d23cd216c553ea86c8fad53c95249cdd779850

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "62a835e06ee50e44f76521c88ba77c1d595dc20f49f0e280c6c9057f179e46d2",
    "cross_cats_sorted": [
      "cond-mat.stat-mech",
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2010-05-25T12:49:43Z",
    "title_canon_sha256": "dc92c001f2439d643aa1efe92b656f25e5234c501d638c53397b48694c4d9333"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1005.4556",
    "kind": "arxiv",
    "version": 2
  }
}