Pith Number

pith:GCK5J2V6

pith:2010:GCK5J2V6RNW55AP6GBYMRQ3A4B

not attested not anchored not stored refs pending

On the Ostrowski-Gruss Type Inequality for Twice Differentiable Functions

Ahmet Ocak Akdemir, Erhan Set, M. Emin Ozdemir

arxiv:1012.5397 v1 · 2010-12-24 · 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{GCK5J2V6RNW55AP6GBYMRQ3A4B}

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	2026-05-18T04:32:34.979985Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3095d4eabe8b6dde81fe3070c8c360e05b0144d154da7abee9bb6a67431e789e

Aliases

arxiv: 1012.5397 · arxiv_version: 1012.5397v1 · doi: 10.48550/arxiv.1012.5397 · pith_short_12: GCK5J2V6RNW5 · pith_short_16: GCK5J2V6RNW55AP6 · pith_short_8: GCK5J2V6

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/GCK5J2V6RNW55AP6GBYMRQ3A4B \
  | 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: 3095d4eabe8b6dde81fe3070c8c360e05b0144d154da7abee9bb6a67431e789e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ed2f3918ce42ca5310e9d14ecb549f2253e16bf9d9a940b3bd4381d8de0dddb8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2010-12-24T13:46:47Z",
    "title_canon_sha256": "9f427ff4271016593c9ceeee9518d4738e8e55c1990dff9a09bf228ec654fac3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1012.5397",
    "kind": "arxiv",
    "version": 1
  }
}