Pith Number

pith:NKHPQXZI

pith:2012:NKHPQXZIL6JLUG6EUEOTJVOYHS

not attested not anchored not stored refs pending

New Jensen-type inequalities

Constantin P. Niculescu, C\u{a}t\u{a}lin Irinel Spiridon

arxiv:1207.6877 v1 · 2012-07-30 · 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{NKHPQXZIL6JLUG6EUEOTJVOYHS}

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	2026-05-18T03:49:48.361012Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6a8ef85f285f92ba1bc4a11d34d5d83c93826c81e65399cacab3a257c97ab397

Aliases

arxiv: 1207.6877 · arxiv_version: 1207.6877v1 · doi: 10.48550/arxiv.1207.6877 · pith_short_12: NKHPQXZIL6JL · pith_short_16: NKHPQXZIL6JLUG6E · pith_short_8: NKHPQXZI

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/NKHPQXZIL6JLUG6EUEOTJVOYHS \
  | 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: 6a8ef85f285f92ba1bc4a11d34d5d83c93826c81e65399cacab3a257c97ab397

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0a06468e0f5314f129896b73d9714988cca312a4ce54472649124c98423d0e2c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2012-07-30T09:50:57Z",
    "title_canon_sha256": "b23d2b0006c779441cfe83096da731d8fdc7d9717fa9215d8ece818a105dd949"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1207.6877",
    "kind": "arxiv",
    "version": 1
  }
}