Pith Number

pith:O6AMF3A7

pith:2012:O6AMF3A7IU2Q2JJC4IOXFG4NN4

not attested not anchored not stored refs pending

On the classes of higher-order Jensen-convex functions and Wright-convex functions

Kazimierz Nikodem, Szymon Wasowicz, Teresa Rajba

arxiv:1201.4032 v1 · 2012-01-19 · math.CA · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{O6AMF3A7IU2Q2JJC4IOXFG4NN4}

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	2026-05-18T04:04:16.107522Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7780c2ec1f45350d2522e21d729b8d6f0bb8f0584731562f1ee60ab8e581aba1

Aliases

arxiv: 1201.4032 · arxiv_version: 1201.4032v1 · doi: 10.48550/arxiv.1201.4032 · pith_short_12: O6AMF3A7IU2Q · pith_short_16: O6AMF3A7IU2Q2JJC · pith_short_8: O6AMF3A7

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/O6AMF3A7IU2Q2JJC4IOXFG4NN4 \
  | 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: 7780c2ec1f45350d2522e21d729b8d6f0bb8f0584731562f1ee60ab8e581aba1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "45d90dc59fc46658d5d3ad2c0fb17f83582d1baace0e41ca75a9d09ac683eb7d",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2012-01-19T11:55:40Z",
    "title_canon_sha256": "46a42ced89d7c6da4d2692646dfd2ebde3ca7ad5508641cf94c02b964e566e41"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1201.4032",
    "kind": "arxiv",
    "version": 1
  }
}