Pith Number

pith:TXNCVGMT

pith:2004:TXNCVGMTYIA56MO7QBHDH4LPFN

not attested not anchored not stored refs pending

Estimators, escort probabilities, and phi-exponential families in statistical physics

Jan Naudts

arxiv:math-ph/0402005 v1 · 2004-02-04 · math-ph · math.MP · math.ST · stat.TH

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TXNCVGMTYIA56MO7QBHDH4LPFN}

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	2026-05-18T04:08:53.851788Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9dda2a9993c201df31df804e33f16f2b6f0007b45cf18ccd286bf2d3ee7c93eb

Aliases

arxiv: math-ph/0402005 · arxiv_version: math-ph/0402005v1 · doi: 10.48550/arxiv.math-ph/0402005 · pith_short_12: TXNCVGMTYIA5 · pith_short_16: TXNCVGMTYIA56MO7 · pith_short_8: TXNCVGMT

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/TXNCVGMTYIA56MO7QBHDH4LPFN \
  | 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: 9dda2a9993c201df31df804e33f16f2b6f0007b45cf18ccd286bf2d3ee7c93eb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "208d662fd7b2df33da1f04fb9ba6c78ebb660bca814ac10cdfe6f02078bbdb38",
    "cross_cats_sorted": [
      "math.MP",
      "math.ST",
      "stat.TH"
    ],
    "license": "",
    "primary_cat": "math-ph",
    "submitted_at": "2004-02-04T13:41:25Z",
    "title_canon_sha256": "e2e46c1906ed8f3fa83230009bc2ec960ee6d5da172ade2b28c001989731d320"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math-ph/0402005",
    "kind": "arxiv",
    "version": 1
  }
}