Pith Number

pith:GMFJFJNJ

pith:2017:GMFJFJNJ5RPGEPTGKLTI5U5QNB

not attested not anchored not stored refs pending

Sharpening Jensen's Inequality

Arthur Berg, J. G. Liao

arxiv:1707.08644 v2 · 2017-07-26 · 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{GMFJFJNJ5RPGEPTGKLTI5U5QNB}

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	2026-05-18T00:32:01.003687Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

330a92a5a9ec5e623e6652e68ed3b068663edfc8757d9fcaf4b6a4bae3176455

Aliases

arxiv: 1707.08644 · arxiv_version: 1707.08644v2 · doi: 10.48550/arxiv.1707.08644 · pith_short_12: GMFJFJNJ5RPG · pith_short_16: GMFJFJNJ5RPGEPTG · pith_short_8: GMFJFJNJ

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/GMFJFJNJ5RPGEPTGKLTI5U5QNB \
  | 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: 330a92a5a9ec5e623e6652e68ed3b068663edfc8757d9fcaf4b6a4bae3176455

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d68e437b9d7a3b9d6ca3dff81c69229d784e6ebead8dd3694b54aaa1f009dcd9",
    "cross_cats_sorted": [
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.ST",
    "submitted_at": "2017-07-26T21:13:41Z",
    "title_canon_sha256": "951385b3ea0e068f3d920ab4269fb316a5261b2057835cfc3172ab14d14c99ba"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1707.08644",
    "kind": "arxiv",
    "version": 2
  }
}