Pith Number

pith:2PV4PIX6

pith:2013:2PV4PIX6BLUNCTGEBOFSN53W5N

not attested not anchored not stored refs pending

Hermite-Hadamard type inequalities for harmonically convex functions

Imdat Iscan

arxiv:1303.6089 v1 · 2013-03-25 · math.CA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{2PV4PIX6BLUNCTGEBOFSN53W5N}

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	2026-05-18T03:29:52.003419Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d3ebc7a2fe0ae8d14cc40b8b26f776eb79a20c7d87f0cf916572a75bcc475032

Aliases

arxiv: 1303.6089 · arxiv_version: 1303.6089v1 · doi: 10.48550/arxiv.1303.6089 · pith_short_12: 2PV4PIX6BLUN · pith_short_16: 2PV4PIX6BLUNCTGE · pith_short_8: 2PV4PIX6

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/2PV4PIX6BLUNCTGEBOFSN53W5N \
  | 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: d3ebc7a2fe0ae8d14cc40b8b26f776eb79a20c7d87f0cf916572a75bcc475032

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b8644a92dcd0dde9fc0a562923bd1c14f6c1f3f5a0122e9c753672349f4acbb0",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2013-03-25T11:15:39Z",
    "title_canon_sha256": "7f157643ebe0660e47bf683bf13214d4b86d08584a19d225f46c7d5e156b75ec"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1303.6089",
    "kind": "arxiv",
    "version": 1
  }
}