Pith Number

pith:7YZOTO2T

pith:2010:7YZOTO2TMDWVWOAEQVRMJJUSIQ

not attested not anchored not stored refs pending

A measure-theoretic version of the Dragomir-Jensen inequality

J. M. Aldaz

arxiv:1101.0239 v2 · 2010-12-31 · math.CA · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{7YZOTO2TMDWVWOAEQVRMJJUSIQ}

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	2026-05-18T04:28:19.699685Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fe32e9bb5360ed5b38048562c4a6924435fa423736344688c6a1c15ad3dcd92e

Aliases

arxiv: 1101.0239 · arxiv_version: 1101.0239v2 · doi: 10.48550/arxiv.1101.0239 · pith_short_12: 7YZOTO2TMDWV · pith_short_16: 7YZOTO2TMDWVWOAE · pith_short_8: 7YZOTO2T

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/7YZOTO2TMDWVWOAEQVRMJJUSIQ \
  | 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: fe32e9bb5360ed5b38048562c4a6924435fa423736344688c6a1c15ad3dcd92e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b9c31dd6ad7b7b6de471fc0b122cdc5ec5c265e0cb96094cc9cb8d4aff367b98",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2010-12-31T12:22:43Z",
    "title_canon_sha256": "172a39d7abae477b8dc8e7d2adfb6ab03ec1410c1af77c27198d0403c722bdab"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1101.0239",
    "kind": "arxiv",
    "version": 2
  }
}