Pith Number

pith:HCMKMZGY

pith:2012:HCMKMZGY6ZK2556MKKZH7UZRR4

not attested not anchored not stored refs pending

Simpson Type Inequalities Via m- and (alpha,m)- logarithmically Convex functions

Ahmet Ocak Akdemir

arxiv:1212.2598 v2 · 2012-12-07 · 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{HCMKMZGY6ZK2556MKKZH7UZRR4}

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	2026-05-18T03:07:52.699980Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3898a664d8f655aef7cc52b27fd3318f328f546654d8f11558bde4ec739f3eaa

Aliases

arxiv: 1212.2598 · arxiv_version: 1212.2598v2 · doi: 10.48550/arxiv.1212.2598 · pith_short_12: HCMKMZGY6ZK2 · pith_short_16: HCMKMZGY6ZK2556M · pith_short_8: HCMKMZGY

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/HCMKMZGY6ZK2556MKKZH7UZRR4 \
  | 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: 3898a664d8f655aef7cc52b27fd3318f328f546654d8f11558bde4ec739f3eaa

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "42cbe08b456c2687094f2f2350ea9dd503134bfd6c8b646bbfd671afc3052e81",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2012-12-07T21:03:23Z",
    "title_canon_sha256": "ea19704e0f92020339961b88597e021bcee8e9638ce7f502e92ee6c055f349d1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1212.2598",
    "kind": "arxiv",
    "version": 2
  }
}