Pith Number

pith:QNLP2SJ3

pith:2013:QNLP2SJ3VOM2ET6YBOCMUME76R

not attested not anchored not stored refs pending

Inequalities on Geometrically Convex Functions

M. Emin \"Ozdemir

arxiv:1312.7725 v1 · 2013-12-27 · math.CA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{QNLP2SJ3VOM2ET6YBOCMUME76R}

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	2026-05-18T03:03:33.927095Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8356fd493bab99a24fd80b84ca309ff44bf7502bb124bc38a355de74fc604e5b

Aliases

arxiv: 1312.7725 · arxiv_version: 1312.7725v1 · doi: 10.48550/arxiv.1312.7725 · pith_short_12: QNLP2SJ3VOM2 · pith_short_16: QNLP2SJ3VOM2ET6Y · pith_short_8: QNLP2SJ3

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/QNLP2SJ3VOM2ET6YBOCMUME76R \
  | 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: 8356fd493bab99a24fd80b84ca309ff44bf7502bb124bc38a355de74fc604e5b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d42e644bf3fb009f3352c01693457b5ac4773f162e09b5036bba33f02fb7a48a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2013-12-27T08:56:41Z",
    "title_canon_sha256": "da4278174da02740c6c001a54427bc086a8f5ffb77f57cefe5ad5e2a0f75dcf4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1312.7725",
    "kind": "arxiv",
    "version": 1
  }
}