Pith Number

pith:YUI6W3AH

pith:2011:YUI6W3AHQGZ7I7XEFMJBAVSLKC

not attested not anchored not stored refs pending

Data Set Models and Exponential Families in Statistical Physics and Beyond

Ben Anthonis, Jan Naudts

arxiv:1111.0490 v1 · 2011-11-02 · 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{YUI6W3AHQGZ7I7XEFMJBAVSLKC}

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	2026-05-18T01:59:48.434528Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c511eb6c0781b3f47ee42b1210564b5099ca316243b786409d021c2cfb311291

Aliases

arxiv: 1111.0490 · arxiv_version: 1111.0490v1 · doi: 10.48550/arxiv.1111.0490 · pith_short_12: YUI6W3AHQGZ7 · pith_short_16: YUI6W3AHQGZ7I7XE · pith_short_8: YUI6W3AH

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/YUI6W3AHQGZ7I7XEFMJBAVSLKC \
  | 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: c511eb6c0781b3f47ee42b1210564b5099ca316243b786409d021c2cfb311291

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9bdcc244423c968e2414dac9f74b061d510d9df08b712781b66b21248791fafa",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2011-11-02T13:33:43Z",
    "title_canon_sha256": "d62fdb2ff97c2bda3b545f6f353cb44ac44838acb05c928220fc532529bf2bae"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1111.0490",
    "kind": "arxiv",
    "version": 1
  }
}