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Pith Number

pith:OBU4D3VN

pith:2011:OBU4D3VNC5RV2QNFMEHTDRVCFI
not attested not anchored not stored refs pending

Uncertainty Relations in Statistical Mechanics: a numerical study in small lattice systems

Antoni Planes, Eduard Vives, Gen\'is Torrents

arxiv:1112.3485 v2 · 2011-12-15 · cond-mat.stat-mech · cond-mat.mes-hall · math-ph · math.MP

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{OBU4D3VNC5RV2QNFMEHTDRVCFI}

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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 2026-05-18T04:06:07.359546Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

7069c1eead17635d41a5610f31c6a22a1bae6a742f59c6a14277e76460b1dc9f

Aliases

arxiv: 1112.3485 · arxiv_version: 1112.3485v2 · doi: 10.48550/arxiv.1112.3485 · pith_short_12: OBU4D3VNC5RV · pith_short_16: OBU4D3VNC5RV2QNF · pith_short_8: OBU4D3VN
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/OBU4D3VNC5RV2QNFMEHTDRVCFI \
  | 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: 7069c1eead17635d41a5610f31c6a22a1bae6a742f59c6a14277e76460b1dc9f
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "5d9e9b77f2266eee29f3addabf8faaace0404b461aac1f67d7af89ecdc83653b",
    "cross_cats_sorted": [
      "cond-mat.mes-hall",
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2011-12-15T11:27:56Z",
    "title_canon_sha256": "c25f30b4ba3fc993f9604a2da9e6c23841345b6f4d387d8d4d5594c45f9200f3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1112.3485",
    "kind": "arxiv",
    "version": 2
  }
}