Pith Number

pith:L4MYJKG2

pith:2017:L4MYJKG2V7KFB7ALTDK6A3QDKQ

not attested not anchored not stored refs pending

Further generalizations, refinements, and reverses of the Young and Heinz inequalities

Fuad Kittaneh, Yousef Al-Manasrah

arxiv:1703.07392 v1 · 2017-03-21 · 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{L4MYJKG2V7KFB7ALTDK6A3QDKQ}

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	2026-05-18T00:48:08.919202Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5f1984a8daafd450fc0b98d5e06e035436736b74d36c98354a50b9fb3fdfbbe4

Aliases

arxiv: 1703.07392 · arxiv_version: 1703.07392v1 · doi: 10.48550/arxiv.1703.07392 · pith_short_12: L4MYJKG2V7KF · pith_short_16: L4MYJKG2V7KFB7AL · pith_short_8: L4MYJKG2

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/L4MYJKG2V7KFB7ALTDK6A3QDKQ \
  | 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: 5f1984a8daafd450fc0b98d5e06e035436736b74d36c98354a50b9fb3fdfbbe4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9de792f41a7b3e315efd50f45407a7fa9e8eefbdf5058b3c87fa979cc46b8228",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2017-03-21T19:05:36Z",
    "title_canon_sha256": "88fa8c19d9b07d08df70c5e952ead287d029df90576bf98b04168d1099351677"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1703.07392",
    "kind": "arxiv",
    "version": 1
  }
}