Pith Number

pith:VBKW7SVA

pith:2007:VBKW7SVA5WGEN7OI5V7CXP2YFH

not attested not anchored not stored refs pending

A New Generalization of Chebyshev Inequality for Random Vectors

Xinjia Chen

arxiv:0707.0805 v2 · 2007-07-05 · math.ST · cs.LG · math.PR · stat.AP · 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{VBKW7SVA5WGEN7OI5V7CXP2YFH}

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	2026-05-18T03:08:15.157761Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a8556fcaa0ed8c46fdc8ed7e2bbf5829db05a8e10a6389063768cce42d0b602a

Aliases

arxiv: 0707.0805 · arxiv_version: 0707.0805v2 · doi: 10.48550/arxiv.0707.0805 · pith_short_12: VBKW7SVA5WGE · pith_short_16: VBKW7SVA5WGEN7OI · pith_short_8: VBKW7SVA

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/VBKW7SVA5WGEN7OI5V7CXP2YFH \
  | 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: a8556fcaa0ed8c46fdc8ed7e2bbf5829db05a8e10a6389063768cce42d0b602a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "815b6ef7a1bca8653a977f505f5326b0b68d9aabd76dd9694daf174eb11920fb",
    "cross_cats_sorted": [
      "cs.LG",
      "math.PR",
      "stat.AP",
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.ST",
    "submitted_at": "2007-07-05T15:28:05Z",
    "title_canon_sha256": "3eff5d1ac652aa573a6209c1af89cd1b61dfd2b68575d18f2437c90fc81398b3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0707.0805",
    "kind": "arxiv",
    "version": 2
  }
}