Pith Number

pith:SL5KUX7H

pith:2011:SL5KUX7HMW642KXI3TQ3JYXQQ3

not attested not anchored not stored refs pending

Alternative reverse inequalities for Young's inequality

Nicu\c{s}or Minculete, Shigeru Furuichi

arxiv:1103.1937 v2 · 2011-03-10 · math.CA · 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{SL5KUX7HMW642KXI3TQ3JYXQQ3}

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	2026-05-18T00:25:02.596672Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

92faaa5fe765bdcd2ae8dce1b4e2f086c40b0051c53db48beba84e1fc23f6825

Aliases

arxiv: 1103.1937 · arxiv_version: 1103.1937v2 · doi: 10.48550/arxiv.1103.1937 · pith_short_12: SL5KUX7HMW64 · pith_short_16: SL5KUX7HMW642KXI · pith_short_8: SL5KUX7H

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/SL5KUX7HMW642KXI3TQ3JYXQQ3 \
  | 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: 92faaa5fe765bdcd2ae8dce1b4e2f086c40b0051c53db48beba84e1fc23f6825

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3b1018a8a455249ecb6de1367e539cb0d12ec8c13bac987b4789123f556e5653",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2011-03-10T05:05:41Z",
    "title_canon_sha256": "0da822eafc54960094fd67b3f46882f964b6e0dda2fc8d889955fe0e81505ea3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1103.1937",
    "kind": "arxiv",
    "version": 2
  }
}