Pith Number

pith:YFIQI5EU

pith:2012:YFIQI5EUVDDCQR2FMWRETTGW5G

not attested not anchored not stored refs pending

New estimates on generalization of some integral inequalities for quasi-convex functions and their applications

Imdat Iscan

arxiv:1207.5650 v1 · 2012-07-24 · 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{YFIQI5EUVDDCQR2FMWRETTGW5G}

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	2026-05-18T03:50:11.769111Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c151047494a8c628474565a249ccd6e9babd41dbc738d76ca52d925cbf615c53

Aliases

arxiv: 1207.5650 · arxiv_version: 1207.5650v1 · doi: 10.48550/arxiv.1207.5650 · pith_short_12: YFIQI5EUVDDC · pith_short_16: YFIQI5EUVDDCQR2F · pith_short_8: YFIQI5EU

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/YFIQI5EUVDDCQR2FMWRETTGW5G \
  | 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: c151047494a8c628474565a249ccd6e9babd41dbc738d76ca52d925cbf615c53

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6bbb9d2b729c8759f30492068e3ca723445e1d18ddacda582194273b72a230e0",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2012-07-24T10:36:11Z",
    "title_canon_sha256": "ba364d353b46f3bc015dd12943c92057df9b6a0f5e031587d3468959d56f69a1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1207.5650",
    "kind": "arxiv",
    "version": 1
  }
}