Pith Number

pith:Q66TZQK2

pith:2012:Q66TZQK23UQ3BPBCL2NCB43HOV

not attested not anchored not stored refs pending

Integral Inequalities for functions whose 3rd derivatives belong to Q(I)

M. Avci Ardic, M.E. Ozdemir, M. Gurbuz

arxiv:1212.1420 v1 · 2012-12-06 · math.FA · 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{Q66TZQK23UQ3BPBCL2NCB43HOV}

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	2026-05-18T03:39:04.004971Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

87bd3cc15add21b0bc225e9a20f367757803bb9ae353d480cec057c96b74c502

Aliases

arxiv: 1212.1420 · arxiv_version: 1212.1420v1 · doi: 10.48550/arxiv.1212.1420 · pith_short_12: Q66TZQK23UQ3 · pith_short_16: Q66TZQK23UQ3BPBC · pith_short_8: Q66TZQK2

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/Q66TZQK23UQ3BPBCL2NCB43HOV \
  | 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: 87bd3cc15add21b0bc225e9a20f367757803bb9ae353d480cec057c96b74c502

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b44abfa1e248332a1d5dcfdfd6a91258b756bcc19ae0f17e9afb76f5461272da",
    "cross_cats_sorted": [
      "math.CA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2012-12-06T19:08:45Z",
    "title_canon_sha256": "dbb4af87316b4437bcc1c3e32fb997b259d76f0b1bd4fe049f4af3a9e9c732b6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1212.1420",
    "kind": "arxiv",
    "version": 1
  }
}