Pith Number

pith:NZRT6XCM

pith:2012:NZRT6XCM7PKTO3CIF6Y67NQMHB

not attested not anchored not stored refs pending

On Iyengar-Type Inequalities via Quasi-Convexity and Quasi-Concavity

M. Emin Ozdemir

arxiv:1209.2574 v1 · 2012-09-12 · 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{NZRT6XCM7PKTO3CIF6Y67NQMHB}

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	2026-05-18T03:45:42.726792Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6e633f5c4cfbd5376c482fb1efb60c38719bfc5d5e70b0d6cf3ab12b56bee627

Aliases

arxiv: 1209.2574 · arxiv_version: 1209.2574v1 · doi: 10.48550/arxiv.1209.2574 · pith_short_12: NZRT6XCM7PKT · pith_short_16: NZRT6XCM7PKTO3CI · pith_short_8: NZRT6XCM

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/NZRT6XCM7PKTO3CIF6Y67NQMHB \
  | 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: 6e633f5c4cfbd5376c482fb1efb60c38719bfc5d5e70b0d6cf3ab12b56bee627

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3d1755ee1eb8b15d58be0061a9c0f1c0a6c5c75f956602a18a8e9b428b2132c2",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2012-09-12T11:35:32Z",
    "title_canon_sha256": "0d3f7aa19f941d5a0c962394ffd85a7a6d738860bb9f967de6b7af4f446b9c53"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1209.2574",
    "kind": "arxiv",
    "version": 1
  }
}