Pith Number

pith:YUSY4ZOT

pith:2013:YUSY4ZOTNNUXQDLXYTD7T2CTXM

not attested not anchored not stored refs pending

Thermodynamic formalism and large deviations for multiplication-invariant potentials on lattice spin systems

F. Redig, J.-R. Chazottes

arxiv:1311.2726 v3 · 2013-11-12 · math.PR · 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{YUSY4ZOTNNUXQDLXYTD7T2CTXM}

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	2026-05-18T03:00:49.085751Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c5258e65d36b69780d77c4c7f9e853bb3d47fe6efffeac240bc858bf838105b9

Aliases

arxiv: 1311.2726 · arxiv_version: 1311.2726v3 · doi: 10.48550/arxiv.1311.2726 · pith_short_12: YUSY4ZOTNNUX · pith_short_16: YUSY4ZOTNNUXQDLX · pith_short_8: YUSY4ZOT

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/YUSY4ZOTNNUXQDLXYTD7T2CTXM \
  | 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: c5258e65d36b69780d77c4c7f9e853bb3d47fe6efffeac240bc858bf838105b9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7ff5f37e1371f7cdf95a86b74bcae1e6b4cc07667ef04fca2bbada4bb146ba03",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2013-11-12T09:51:15Z",
    "title_canon_sha256": "3bb52f0cd3362db988c20c3514f3441bcac11a354a4ae99e7c295b2ec0e1634c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1311.2726",
    "kind": "arxiv",
    "version": 3
  }
}