Pith Number

pith:GZVGRQEX

pith:2015:GZVGRQEXU5R3NNF43RSVHDWO5I

not attested not anchored not stored refs pending

Hermite-Hadamard type inequalities for harmonically $(\alpha,m)$-convex functions via fractional integrals

\.Imdat \.I\c{s}can, Mehmet Kunt

arxiv:1505.02187 v1 · 2015-05-03 · math.CA · 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{GZVGRQEXU5R3NNF43RSVHDWO5I}

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	2026-05-18T02:16:19.634921Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

366a68c097a763b6b4bcdc65538eceea0526c15986c44f8fe535b096177151b0

Aliases

arxiv: 1505.02187 · arxiv_version: 1505.02187v1 · doi: 10.48550/arxiv.1505.02187 · pith_short_12: GZVGRQEXU5R3 · pith_short_16: GZVGRQEXU5R3NNF4 · pith_short_8: GZVGRQEX

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/GZVGRQEXU5R3NNF43RSVHDWO5I \
  | 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: 366a68c097a763b6b4bcdc65538eceea0526c15986c44f8fe535b096177151b0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d83ec5a9c342b658a4e63dc582e89769e9a85296b2a51cf23421626ed2224260",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2015-05-03T11:39:50Z",
    "title_canon_sha256": "c51f1e5ae16bad2b8b5003a280f6d29acfec597f7a2037aeb7f19f02374de76f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1505.02187",
    "kind": "arxiv",
    "version": 1
  }
}