Pith Number

pith:5FC4NI7R

pith:2013:5FC4NI7RA736EYYXR4MD6IUR3R

not attested not anchored not stored refs pending

Simpson type inequalities for first order differentiable preinvex and prequasiinvex functions

M.Emin Ozdemir, Merve Avci Ardic

arxiv:1303.3697 v1 · 2013-03-15 · math.FA

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{5FC4NI7RA736EYYXR4MD6IUR3R}

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	2026-05-18T03:30:52.661387Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e945c6a3f107f7e263178f183f2291dc439788dec57aa515d87d599a6ac4325b

Aliases

arxiv: 1303.3697 · arxiv_version: 1303.3697v1 · doi: 10.48550/arxiv.1303.3697 · pith_short_12: 5FC4NI7RA736 · pith_short_16: 5FC4NI7RA736EYYX · pith_short_8: 5FC4NI7R

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/5FC4NI7RA736EYYXR4MD6IUR3R \
  | 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: e945c6a3f107f7e263178f183f2291dc439788dec57aa515d87d599a6ac4325b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "024ab267d6cf4c252865563c883c0ed9802b3e4ef0591b4e337c5fdd3746c707",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2013-03-15T07:33:36Z",
    "title_canon_sha256": "ed3b3e8ce9fd2d4777a89cd08196392866b57de926d6688c8db01d9671e4abb5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1303.3697",
    "kind": "arxiv",
    "version": 1
  }
}