Pith Number

pith:IZU2OEF7

pith:2012:IZU2OEF7UXFFFVJCFJRDVG6ROI

not attested not anchored not stored refs pending

Exponential chi squared distributions in infinite ergodic theory

Jon Aaronson, Omri Sarig

arxiv:1202.4485 v2 · 2012-02-20 · math.DS · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{IZU2OEF7UXFFFVJCFJRDVG6ROI}

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	2026-05-17T23:53:36.312585Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4669a710bfa5ca52d5222a623a9bd1720d26494338ddb7ff9ae3cb82ea4d9bc5

Aliases

arxiv: 1202.4485 · arxiv_version: 1202.4485v2 · doi: 10.48550/arxiv.1202.4485 · pith_short_12: IZU2OEF7UXFF · pith_short_16: IZU2OEF7UXFFFVJC · pith_short_8: IZU2OEF7

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/IZU2OEF7UXFFFVJCFJRDVG6ROI \
  | 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: 4669a710bfa5ca52d5222a623a9bd1720d26494338ddb7ff9ae3cb82ea4d9bc5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8a5fee5b7d5f65e7b8a61f2729861e26c825c55cd24208c9a648f738e12bffd3",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2012-02-20T22:19:13Z",
    "title_canon_sha256": "a9ecfdd5084bd92481639c1c1a611b5896c793dd6a6cf56705cf2faf07e83326"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1202.4485",
    "kind": "arxiv",
    "version": 2
  }
}