Pith Number

pith:WBZPKOPJ

pith:2013:WBZPKOPJQV6OC3DYCG6XRXQTBE

not attested not anchored not stored refs pending

Hermite-Hadamard type integral inequalities for functions whose first derivatives are of convexity

Bo-Yan Xi, Feng Qi, Tian-Yu Zhang

arxiv:1305.5933 v1 · 2013-05-25 · 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{WBZPKOPJQV6OC3DYCG6XRXQTBE}

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	2026-05-18T01:24:19.521001Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b072f539e9857ce16c7811bd78de1309384a131eba3af1ae96e6dc112b736fc4

Aliases

arxiv: 1305.5933 · arxiv_version: 1305.5933v1 · doi: 10.48550/arxiv.1305.5933 · pith_short_12: WBZPKOPJQV6O · pith_short_16: WBZPKOPJQV6OC3DY · pith_short_8: WBZPKOPJ

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/WBZPKOPJQV6OC3DYCG6XRXQTBE \
  | 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: b072f539e9857ce16c7811bd78de1309384a131eba3af1ae96e6dc112b736fc4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b0308f55bb94ef85acb12870ef2fdae9bfc55315f61b87881809d4c5ed1dae9a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2013-05-25T14:54:23Z",
    "title_canon_sha256": "53c9d7fabd1f621c876467a5327daa5f367fbb26b124499aaf84625970b31b53"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1305.5933",
    "kind": "arxiv",
    "version": 1
  }
}