Pith Number

pith:3WD7FWV7

pith:2015:3WD7FWV77PYGILHKTTNB2GEKDV

not attested not anchored not stored refs pending

Improved Young and Heinz inequalities with the Kantorovich constant

Junliang Wu, Wenshi Liao

arxiv:1506.00226 v1 · 2015-05-31 · 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{3WD7FWV77PYGILHKTTNB2GEKDV}

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	2026-05-18T01:59:55.142806Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dd87f2dabffbf0642cea9cda1d188a1d6b256644b098dabc3892c3979f07de1a

Aliases

arxiv: 1506.00226 · arxiv_version: 1506.00226v1 · doi: 10.48550/arxiv.1506.00226 · pith_short_12: 3WD7FWV77PYG · pith_short_16: 3WD7FWV77PYGILHK · pith_short_8: 3WD7FWV7

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/3WD7FWV77PYGILHKTTNB2GEKDV \
  | 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: dd87f2dabffbf0642cea9cda1d188a1d6b256644b098dabc3892c3979f07de1a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "17d91a012acc31dd95cde5c2ce3c4b388aeeb13bd5c66e955e5fbff342938031",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2015-05-31T13:32:31Z",
    "title_canon_sha256": "c215f0220ce113d877b4eb222e7e8d7335b20de38e99549ab917122545277bcf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1506.00226",
    "kind": "arxiv",
    "version": 1
  }
}