Pith Number

pith:HYB3MQYW

pith:2014:HYB3MQYW3PMQSRRXR63JWDP4UV

not attested not anchored not stored refs pending

Some Hermite-Hadamard type inequalities for the product of two operator preinvex functions

A. Barani, A. G. Ghazanfari

arxiv:1412.5958 v1 · 2014-12-18 · 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{HYB3MQYW3PMQSRRXR63JWDP4UV}

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	2026-05-18T02:30:55.912871Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3e03b64316dbd90946378fb69b0dfca551cff2025a4175289c63c41d355e8482

Aliases

arxiv: 1412.5958 · arxiv_version: 1412.5958v1 · doi: 10.48550/arxiv.1412.5958 · pith_short_12: HYB3MQYW3PMQ · pith_short_16: HYB3MQYW3PMQSRRX · pith_short_8: HYB3MQYW

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/HYB3MQYW3PMQSRRXR63JWDP4UV \
  | 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: 3e03b64316dbd90946378fb69b0dfca551cff2025a4175289c63c41d355e8482

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "46b0ecd2ca9da291191f84b5c76560fb712d68453b25de57bb67ac58be087cdd",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2014-12-18T17:30:48Z",
    "title_canon_sha256": "7a9577fd5610810a9d13c024b96ea765180db5924ed19aeb4230cdc841a8afdd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1412.5958",
    "kind": "arxiv",
    "version": 1
  }
}