Pith Number

pith:AOK7KBKJ

pith:2012:AOK7KBKJF3RRYUDFY7D3DXN3ZL

not attested not anchored not stored refs pending

Hermite-Hadamard's inequalities for prequasiinvex functions via fractional integrals

Imdat Iscan

arxiv:1204.0898 v1 · 2012-04-04 · 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{AOK7KBKJF3RRYUDFY7D3DXN3ZL}

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	2026-05-18T03:58:37.484856Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0395f505492ee31c5065c7c7b1ddbbcadfd0c2e3619b47693647bacdb6a66cb6

Aliases

arxiv: 1204.0898 · arxiv_version: 1204.0898v1 · doi: 10.48550/arxiv.1204.0898 · pith_short_12: AOK7KBKJF3RR · pith_short_16: AOK7KBKJF3RRYUDF · pith_short_8: AOK7KBKJ

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/AOK7KBKJF3RRYUDFY7D3DXN3ZL \
  | 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: 0395f505492ee31c5065c7c7b1ddbbcadfd0c2e3619b47693647bacdb6a66cb6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5d05b65cfe1860c58c5dcb1e5fa468161b7d0113c62865cb5e937b00047cb0d8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2012-04-04T09:18:34Z",
    "title_canon_sha256": "9735ec2282ebd0dec3c9f6ba40e250bbc253a36c39e3890f1119d5a52a440311"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1204.0898",
    "kind": "arxiv",
    "version": 1
  }
}