Pith Number

pith:GWXFBNKE

pith:2012:GWXFBNKE3IHADQMDX7QZSDTFQB

not attested not anchored not stored refs pending

Some Companions of Ostrowski type inequality for functions whose second derivatives are convex and concave with applications

M. Emin \"Ozdemir, Merve Avci Ardic

arxiv:1207.6577 v2 · 2012-07-27 · math.FA · 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{GWXFBNKE3IHADQMDX7QZSDTFQB}

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	2026-05-18T03:42:33.714955Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

35ae50b544da0e01c183bfe1990e65804577334fdea733d3edf78fb2b38058a6

Aliases

arxiv: 1207.6577 · arxiv_version: 1207.6577v2 · doi: 10.48550/arxiv.1207.6577 · pith_short_12: GWXFBNKE3IHA · pith_short_16: GWXFBNKE3IHADQMD · pith_short_8: GWXFBNKE

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/GWXFBNKE3IHADQMDX7QZSDTFQB \
  | 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: 35ae50b544da0e01c183bfe1990e65804577334fdea733d3edf78fb2b38058a6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "08fbf4c2faef51873972ff763f8273c82bebd8dfb1dea9f5e97b88ff9f854e11",
    "cross_cats_sorted": [
      "math.CA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2012-07-27T15:45:52Z",
    "title_canon_sha256": "ebc43f445633ea34f980fcab64b0e47ad33819263686b01dd0ffc06c9d4bf78d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1207.6577",
    "kind": "arxiv",
    "version": 2
  }
}