Pith Number

pith:7CCA5GEJ

pith:2017:7CCA5GEJSH6P2E5BZOCCTCCFQF

not attested not anchored not stored refs pending

Correlation Inequalities and Monotonicity Properties of the Ruelle Operator

Artur O. Lopes, Leandro Cioletti

arxiv:1703.06126 v3 · 2017-03-17 · math.DS · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{7CCA5GEJSH6P2E5BZOCCTCCFQF}

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	2026-05-18T00:34:22.837784Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f8840e988991fcfd13a1cb84298845816882b1807f385a50ee6260abe9a40110

Aliases

arxiv: 1703.06126 · arxiv_version: 1703.06126v3 · doi: 10.48550/arxiv.1703.06126 · pith_short_12: 7CCA5GEJSH6P · pith_short_16: 7CCA5GEJSH6P2E5B · pith_short_8: 7CCA5GEJ

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/7CCA5GEJSH6P2E5BZOCCTCCFQF \
  | 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: f8840e988991fcfd13a1cb84298845816882b1807f385a50ee6260abe9a40110

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c113ea051d9d25e18933743192749ee81374de6253406ae4aec3d11afb98c648",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2017-03-17T17:38:42Z",
    "title_canon_sha256": "97f8a20e05241c6f39f474211855ca0ad8178c8b334086084ad722d0f19091cd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1703.06126",
    "kind": "arxiv",
    "version": 3
  }
}