Pith Number

pith:BT43Y3AR

pith:2018:BT43Y3ARBYCYP7JIQLNHLBXHP6

not attested not anchored not stored refs pending

Quantum Spin probabilities at positive temperature are H\"older Gibbs probabilities

Artur O. Lopes, Carlos G. Moreira, Jader E. Brasil, Jairo K. Mengue

arxiv:1805.01784 v2 · 2018-05-04 · math.DS · cond-mat.stat-mech · math-ph · math.MP · quant-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{BT43Y3ARBYCYP7JIQLNHLBXHP6}

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	2026-05-18T00:15:49.494081Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0cf9bc6c110e0587fd2882da7586e77fa1fdc4866231b0c98a5cbfae43712f56

Aliases

arxiv: 1805.01784 · arxiv_version: 1805.01784v2 · doi: 10.48550/arxiv.1805.01784 · pith_short_12: BT43Y3ARBYCY · pith_short_16: BT43Y3ARBYCYP7JI · pith_short_8: BT43Y3AR

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/BT43Y3ARBYCYP7JIQLNHLBXHP6 \
  | 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: 0cf9bc6c110e0587fd2882da7586e77fa1fdc4866231b0c98a5cbfae43712f56

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5d3fdb770b3f736da0fa3eac99206c847e0d45cdc69260642c9adfcfd77486c0",
    "cross_cats_sorted": [
      "cond-mat.stat-mech",
      "math-ph",
      "math.MP",
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2018-05-04T13:49:20Z",
    "title_canon_sha256": "bf73a01abbc5d664e929a887c8c8392b647f31676ec19a79094499795b7c2fbf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1805.01784",
    "kind": "arxiv",
    "version": 2
  }
}