Pith Number

pith:HDTHXRTI

pith:2012:HDTHXRTIPNYW5SAHIOZRQWF6RA

not attested not anchored not stored refs pending

Ostrowski type inequalities for functions whose derivatives are preinvex

Imdat Iscan

arxiv:1204.2010 v2 · 2012-04-09 · 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{HDTHXRTIPNYW5SAHIOZRQWF6RA}

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	2026-05-18T03:07:41.400204Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

38e67bc6687b716ec80743b31858be88046effa465f859c11c9fe58f2c5664ca

Aliases

arxiv: 1204.2010 · arxiv_version: 1204.2010v2 · doi: 10.48550/arxiv.1204.2010 · pith_short_12: HDTHXRTIPNYW · pith_short_16: HDTHXRTIPNYW5SAH · pith_short_8: HDTHXRTI

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/HDTHXRTIPNYW5SAHIOZRQWF6RA \
  | 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: 38e67bc6687b716ec80743b31858be88046effa465f859c11c9fe58f2c5664ca

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5da8798622705a06fe68adfb53203d743f2e5a2372ad3f4da5adb96c92014218",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2012-04-09T23:36:29Z",
    "title_canon_sha256": "081bd14aab525258b96f596c180800d3ad441852ad4a358a2af2a35f87873cba"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1204.2010",
    "kind": "arxiv",
    "version": 2
  }
}