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Pith Number

pith:Z7I45DVG

pith:2010:Z7I45DVGIWBQ77CEHNWFIGE227
not attested not anchored not stored refs pending

Equilibrium statistical mechanics of bipartite spin systems

Adriano Barra, Francesco Guerra, Giuseppe Genovese

arxiv:1012.1261 v1 · 2010-12-06 · cond-mat.dis-nn

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{Z7I45DVGIWBQ77CEHNWFIGE227}

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 2026-05-18T02:04:32.445050Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

cfd1ce8ea645830ffc443b6c54189ad7f933be10c839fc27d1aa4a42bfb59684

Aliases

arxiv: 1012.1261 · arxiv_version: 1012.1261v1 · doi: 10.48550/arxiv.1012.1261 · pith_short_12: Z7I45DVGIWBQ · pith_short_16: Z7I45DVGIWBQ77CE · pith_short_8: Z7I45DVG
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/Z7I45DVGIWBQ77CEHNWFIGE227 \
  | 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: cfd1ce8ea645830ffc443b6c54189ad7f933be10c839fc27d1aa4a42bfb59684
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "0ac0a3feecb2f80afd2cdd9e7b234a37a3c5f9e75fa687c491860f7220cb1d9a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.dis-nn",
    "submitted_at": "2010-12-06T18:01:58Z",
    "title_canon_sha256": "b86f319832d79c18537bdd853f4230067f925fafe6194b0061d29e39b4ad3018"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1012.1261",
    "kind": "arxiv",
    "version": 1
  }
}