Pith Number

pith:GW47IASR

pith:2019:GW47IASRZ2UOCSUCN7NNVKKJOM

not attested not anchored not stored refs pending

Weighted L\'epingle inequality

Pavel Zorin-Kranich

arxiv:1908.05937 v2 · 2019-08-16 · math.PR · math.CA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GW47IASRZ2UOCSUCN7NNVKKJOM}

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	2026-07-05T03:44:49.010287Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

35b9f40251cea8e14a826fdadaa94973162722b9009394be2c6fcfbbaa541e7a

Aliases

arxiv: 1908.05937 · arxiv_version: 1908.05937v2 · doi: 10.48550/arxiv.1908.05937 · pith_short_12: GW47IASRZ2UO · pith_short_16: GW47IASRZ2UOCSUC · pith_short_8: GW47IASR

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/GW47IASRZ2UOCSUCN7NNVKKJOM \
  | 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: 35b9f40251cea8e14a826fdadaa94973162722b9009394be2c6fcfbbaa541e7a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "46ae8cf0c2950f7562203bd4f1e3e2c34d15750bb287bd5e62cd1f3da4d92bc4",
    "cross_cats_sorted": [
      "math.CA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2019-08-16T11:42:08Z",
    "title_canon_sha256": "694e4442f20089d292f6358768d1983b09a9ff88b91a7258ffe6eefb8874af83"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1908.05937",
    "kind": "arxiv",
    "version": 2
  }
}