Pith Number

pith:MF7LXBR3

pith:2016:MF7LXBR3UOLTOKM2TSSOVJ73TR

not attested not anchored not stored refs pending

Around Jensen's inequality for strongly convex functions

H.R. Moradi, K. Nikodem, M. Adil Khan, M.E. Omidvar

arxiv:1611.07780 v9 · 2016-11-23 · math.FA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{MF7LXBR3UOLTOKM2TSSOVJ73TR}

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	2026-05-18T00:40:53.954448Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

617ebb863ba39737299a9ca4eaa7fb9c5a51b729b1cd2b1d119c9f6387b05bc1

Aliases

arxiv: 1611.07780 · arxiv_version: 1611.07780v9 · doi: 10.48550/arxiv.1611.07780 · pith_short_12: MF7LXBR3UOLT · pith_short_16: MF7LXBR3UOLTOKM2 · pith_short_8: MF7LXBR3

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/MF7LXBR3UOLTOKM2TSSOVJ73TR \
  | 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: 617ebb863ba39737299a9ca4eaa7fb9c5a51b729b1cd2b1d119c9f6387b05bc1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e2d22285704c078e7de9f71d9fcfeba4557c1609d371ce4ef7bf53521b99350e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2016-11-23T13:16:11Z",
    "title_canon_sha256": "8be78f048a05f1d142782bc610f2ebdfd501c1f61c5673e55ca25dc8e1cf6afc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1611.07780",
    "kind": "arxiv",
    "version": 9
  }
}