Pith Number

pith:L5HAVWF7

pith:2019:L5HAVWF7G57YINVU22XND42TNK

not attested not anchored not stored refs pending

A note on invariance of the Cauchy and related distributions

Greg Markowsky, Paul Jung, Wooyoung Chin

arxiv:1908.04006 v2 · 2019-08-12 · math.PR · math.CV

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{L5HAVWF7G57YINVU22XND42TNK}

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	2026-07-05T00:06:10.446723Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5f4e0ad8bf377f8436b4d6aed1f3536a8b86d134ba404709b217fd9a8009d073

Aliases

arxiv: 1908.04006 · arxiv_version: 1908.04006v2 · doi: 10.48550/arxiv.1908.04006 · pith_short_12: L5HAVWF7G57Y · pith_short_16: L5HAVWF7G57YINVU · pith_short_8: L5HAVWF7

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/L5HAVWF7G57YINVU22XND42TNK \
  | 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: 5f4e0ad8bf377f8436b4d6aed1f3536a8b86d134ba404709b217fd9a8009d073

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d058fbdc0837ecf27318aa556f09a299a96eda5bfa2bf9ec4cb86cb6bea4f69d",
    "cross_cats_sorted": [
      "math.CV"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2019-08-12T05:15:55Z",
    "title_canon_sha256": "399f47d661d76398a14451e1c7b52996d87dba9958b401a4f4b27d7de74f149c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1908.04006",
    "kind": "arxiv",
    "version": 2
  }
}