Pith Number

pith:ISDPS7AY

pith:2011:ISDPS7AYSVUPR2QPD6EZ326N7J

not attested not anchored not stored refs pending

Simpson type inequalities for functions whose third derivatives in the absolute value are s-convex and s-concave

M. Emin Ozdemir, Merve Avci Ardic

arxiv:1112.3865 v2 · 2011-12-12 · 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{ISDPS7AYSVUPR2QPD6EZ326N7J}

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	2026-05-18T03:38:56.221868Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4486f97c189568f8ea0f1f899debcdfa436366695423997e9bc0c7bb0ecaae84

Aliases

arxiv: 1112.3865 · arxiv_version: 1112.3865v2 · doi: 10.48550/arxiv.1112.3865 · pith_short_12: ISDPS7AYSVUP · pith_short_16: ISDPS7AYSVUPR2QP · pith_short_8: ISDPS7AY

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/ISDPS7AYSVUPR2QPD6EZ326N7J \
  | 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: 4486f97c189568f8ea0f1f899debcdfa436366695423997e9bc0c7bb0ecaae84

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f379559f46a8a4a5d1e59607f55fcb4c33a21c10b4f32c217b8e0e1595c3cc66",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2011-12-12T09:41:44Z",
    "title_canon_sha256": "3a66c05d329e2b8d7a8ed841322f051f926b27f5896f1338d7c45d02b5c497cb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1112.3865",
    "kind": "arxiv",
    "version": 2
  }
}