Pith Number

pith:NUNL2WRM

pith:2011:NUNL2WRM734IEJFTN326552OHK

not attested not anchored not stored refs pending

Random, thermodynamic and inverse first order transitions in the Blume-Capel spin-glass

Luca Leuzzi, Ulisse Ferrari

arxiv:1106.4504 v1 · 2011-06-22 · 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{NUNL2WRM734IEJFTN326552OHK}

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	2026-05-18T04:00:52.282964Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6d1abd5a2cfef88224b36ef5eef74e3ab550b7a02222b41b949244bb507c3923

Aliases

arxiv: 1106.4504 · arxiv_version: 1106.4504v1 · doi: 10.48550/arxiv.1106.4504 · pith_short_12: NUNL2WRM734I · pith_short_16: NUNL2WRM734IEJFT · pith_short_8: NUNL2WRM

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/NUNL2WRM734IEJFTN326552OHK \
  | 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: 6d1abd5a2cfef88224b36ef5eef74e3ab550b7a02222b41b949244bb507c3923

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "729826b0000eb91e4720f436e899c9f44c5d18a10a9c22ab62eaf59bfa32921c",
    "cross_cats_sorted": [
      "cond-mat.stat-mech"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.dis-nn",
    "submitted_at": "2011-06-22T17:00:28Z",
    "title_canon_sha256": "b335f36111fdbf50a57febc93aef500b253aa1c7689333073781646968a9a3ad"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1106.4504",
    "kind": "arxiv",
    "version": 1
  }
}