Pith Number

pith:XNMRY4AN

pith:2009:XNMRY4ANGQIMYYJW67UJ7GO3CB

not attested not anchored not stored refs pending

Non-uniform specification and large deviations for weak Gibbs measures

Paulo Varandas

arxiv:0906.3350 v3 · 2009-06-18 · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{XNMRY4ANGQIMYYJW67UJ7GO3CB}

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	2026-05-18T04:10:22.331679Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bb591c700d3410cc6136f7e89f99db106530dd5d3d1aacfb2b2e2e4c8eee0ad3

Aliases

arxiv: 0906.3350 · arxiv_version: 0906.3350v3 · doi: 10.48550/arxiv.0906.3350 · pith_short_12: XNMRY4ANGQIM · pith_short_16: XNMRY4ANGQIMYYJW · pith_short_8: XNMRY4AN

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/XNMRY4ANGQIMYYJW67UJ7GO3CB \
  | 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: bb591c700d3410cc6136f7e89f99db106530dd5d3d1aacfb2b2e2e4c8eee0ad3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cb00e9faf68d62a3a433818b0adafde7127b7586b98dfc9096fea4a77572cf53",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2009-06-18T05:17:15Z",
    "title_canon_sha256": "b471c3cdc33891a2732ee704903b580a694f71f826aa3dd25ddc6ec4f866d1e2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0906.3350",
    "kind": "arxiv",
    "version": 3
  }
}