Pith Number

pith:4BEYZSRM

pith:2013:4BEYZSRMAYSG4HH433L4ZC3VZX

not attested not anchored not stored refs pending

A simple proof for the multivariate Chebyshev inequality

Jorge Navarro

arxiv:1305.5646 v1 · 2013-05-24 · 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{4BEYZSRMAYSG4HH433L4ZC3VZX}

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	2026-05-18T03:25:03.598030Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e0498cca2c06246e1cfcded7cc8b75cde9802ba008eaf49a2671f09dc26dee25

Aliases

arxiv: 1305.5646 · arxiv_version: 1305.5646v1 · doi: 10.48550/arxiv.1305.5646 · pith_short_12: 4BEYZSRMAYSG · pith_short_16: 4BEYZSRMAYSG4HH4 · pith_short_8: 4BEYZSRM

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/4BEYZSRMAYSG4HH433L4ZC3VZX \
  | 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: e0498cca2c06246e1cfcded7cc8b75cde9802ba008eaf49a2671f09dc26dee25

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d94ad67415e5160535bfc89ec581b0ef2c8478f385f864fd93781da41c3123cc",
    "cross_cats_sorted": [
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.ST",
    "submitted_at": "2013-05-24T08:12:18Z",
    "title_canon_sha256": "03cc7dbc7a81671b0e06a2ad88ea0350fd900f87d06d8693c554d940321f791e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1305.5646",
    "kind": "arxiv",
    "version": 1
  }
}