Pith Number

pith:XXU3ZTKD

pith:2010:XXU3ZTKDWJYR4J4MMVP7OLHDRT

not attested not anchored not stored refs pending

First- and second-order phase transitions in Ising models on small world networks, simulations and comparison with an effective field theory

A. L. Ferreira, J. F. F. Mendes, M. Ostilli

arxiv:1001.1342 v2 · 2010-01-08 · cond-mat.dis-nn · cond-mat.stat-mech

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{XXU3ZTKDWJYR4J4MMVP7OLHDRT}

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	2026-05-18T02:24:45.159577Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bde9bccd43b2711e278c655ff72ce38ce6140906abab75dea1c4f12ab586aa71

Aliases

arxiv: 1001.1342 · arxiv_version: 1001.1342v2 · doi: 10.48550/arxiv.1001.1342 · pith_short_12: XXU3ZTKDWJYR · pith_short_16: XXU3ZTKDWJYR4J4M · pith_short_8: XXU3ZTKD

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/XXU3ZTKDWJYR4J4MMVP7OLHDRT \
  | 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: bde9bccd43b2711e278c655ff72ce38ce6140906abab75dea1c4f12ab586aa71

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a70a85757b21cba066cddca166db4c23a28caa74fa07a8fa070d4881f902663b",
    "cross_cats_sorted": [
      "cond-mat.stat-mech"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.dis-nn",
    "submitted_at": "2010-01-08T19:18:41Z",
    "title_canon_sha256": "571a4d034a99708d52c452a826f168c49397d58e518af8cf0c71133916ef1fd1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1001.1342",
    "kind": "arxiv",
    "version": 2
  }
}