Pith Number

pith:VLX4NAFN

pith:2012:VLX4NAFNV6M66ME6NJ4VNU2OQZ

not attested not anchored not stored refs pending

On some inequalities for different kinds of convexity

M. Emin Ozdemir, Merve Avci Ardic

arxiv:1205.3911 v3 · 2012-05-17 · 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{VLX4NAFNV6M66ME6NJ4VNU2OQZ}

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	2026-05-18T03:45:00.334062Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

aaefc680adaf99ef309e6a7956d34e864c3eb771c645afcf27b5a6c297649d69

Aliases

arxiv: 1205.3911 · arxiv_version: 1205.3911v3 · doi: 10.48550/arxiv.1205.3911 · pith_short_12: VLX4NAFNV6M6 · pith_short_16: VLX4NAFNV6M66ME6 · pith_short_8: VLX4NAFN

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/VLX4NAFNV6M66ME6NJ4VNU2OQZ \
  | 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: aaefc680adaf99ef309e6a7956d34e864c3eb771c645afcf27b5a6c297649d69

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4da953e3340591b24f03faec21b76ad70a7f0d2b15dbd39b67e8a877b331998a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2012-05-17T12:15:06Z",
    "title_canon_sha256": "0f8e818557e99303b19b9a559bbe2b9c6ee71ec2adc2a80e3fe4db189a240332"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1205.3911",
    "kind": "arxiv",
    "version": 3
  }
}