pith. sign in
Pith Number

pith:VX3RSVPS

pith:2011:VX3RSVPSQXM66GLGCY7WNQPKIL
not attested not anchored not stored refs pending

Quantum statistical mechanics in infinitely extended systems ($C^*$ algebraic approach)

Felipe Barra, Shigeru Ajisaka, Shuichi Tasaki

arxiv:1110.6433 v1 · 2011-10-28 · math-ph · cond-mat.stat-mech · math.MP · quant-ph

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{VX3RSVPSQXM66GLGCY7WNQPKIL}

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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 2026-05-18T03:12:35.319729Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

adf71955f285d9ef1966163f66c1ea42c2fe684c281655b776ebfa17dbb2e655

Aliases

arxiv: 1110.6433 · arxiv_version: 1110.6433v1 · doi: 10.48550/arxiv.1110.6433 · pith_short_12: VX3RSVPSQXM6 · pith_short_16: VX3RSVPSQXM66GLG · pith_short_8: VX3RSVPS
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/VX3RSVPSQXM66GLGCY7WNQPKIL \
  | 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: adf71955f285d9ef1966163f66c1ea42c2fe684c281655b776ebfa17dbb2e655
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "f0bad24da07a10057fc6e3c6616bff2e16829195281d9c698767c38c721f6f1d",
    "cross_cats_sorted": [
      "cond-mat.stat-mech",
      "math.MP",
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2011-10-28T19:42:20Z",
    "title_canon_sha256": "87b1d730ed31827450d830164536943c1ae9aefed64972823db8261f839802b7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1110.6433",
    "kind": "arxiv",
    "version": 1
  }
}