Pith Number

pith:R2OCNN5G

pith:2012:R2OCNN5G557QQ2TCBDL6ZEY2DV

not attested not anchored not stored refs pending

Two Theorems for ({\alpha},m)-convex functions

M. Emin Ozdemir, Merve Avci Ardic

arxiv:1209.5179 v1 · 2012-09-24 · 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{R2OCNN5G557QQ2TCBDL6ZEY2DV}

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	2026-05-18T03:44:58.960758Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8e9c26b7a6ef7f086a6208d7ec931a1d65aacb16f6139023fdff1cc102ffee9b

Aliases

arxiv: 1209.5179 · arxiv_version: 1209.5179v1 · doi: 10.48550/arxiv.1209.5179 · pith_short_12: R2OCNN5G557Q · pith_short_16: R2OCNN5G557QQ2TC · pith_short_8: R2OCNN5G

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/R2OCNN5G557QQ2TCBDL6ZEY2DV \
  | 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: 8e9c26b7a6ef7f086a6208d7ec931a1d65aacb16f6139023fdff1cc102ffee9b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "557b3c04210e601d701027a7959352e2e679a072cc22d5a461e08cf5a73e1b43",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2012-09-24T07:55:46Z",
    "title_canon_sha256": "6fcf6edd1d6768c9aae4da152f5a9d2e070879baa857fd471c9987c462e0ece9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1209.5179",
    "kind": "arxiv",
    "version": 1
  }
}