Pith Number

pith:CA37EM73

pith:2009:CA37EM73UBGHAGBDC2SVGELEQJ

not attested not anchored not stored refs pending

Some stochastic inequalities for weighted sums

Yaming Yu

arxiv:0910.0544 v3 · 2009-10-04 · math.PR · 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{CA37EM73UBGHAGBDC2SVGELEQJ}

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	2026-05-18T04:18:12.993158Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1037f233fba04c70182316a55311648265c142487fff70ae1877111eba0924d6

Aliases

arxiv: 0910.0544 · arxiv_version: 0910.0544v3 · doi: 10.48550/arxiv.0910.0544 · pith_short_12: CA37EM73UBGH · pith_short_16: CA37EM73UBGHAGBD · pith_short_8: CA37EM73

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/CA37EM73UBGHAGBDC2SVGELEQJ \
  | 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: 1037f233fba04c70182316a55311648265c142487fff70ae1877111eba0924d6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2c4f589b4b025d23e42ffaa7fff8c92bca0fa48cddd0010609fa5e34800b1102",
    "cross_cats_sorted": [
      "math.ST",
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2009-10-04T17:15:31Z",
    "title_canon_sha256": "c79f8de10d7f5633bdb570f6d0d415ac80eba45f86c5bb6b9053e83bcdd03682"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0910.0544",
    "kind": "arxiv",
    "version": 3
  }
}