Pith Number

pith:RLFWO4IA

pith:2010:RLFWO4IAGA7WBFKJUYEIXAHEMR

not attested not anchored not stored refs pending

Refined Young inequalities with Specht's ratio

Shigeru Furuichi

arxiv:1004.0581 v3 · 2010-04-05 · 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{RLFWO4IAGA7WBFKJUYEIXAHEMR}

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	2026-05-18T04:27:15.050162Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8acb677100303f609549a6088b80e46466a39b399a9fccf7bc1ab719b54398d3

Aliases

arxiv: 1004.0581 · arxiv_version: 1004.0581v3 · doi: 10.48550/arxiv.1004.0581 · pith_short_12: RLFWO4IAGA7W · pith_short_16: RLFWO4IAGA7WBFKJ · pith_short_8: RLFWO4IA

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/RLFWO4IAGA7WBFKJUYEIXAHEMR \
  | 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: 8acb677100303f609549a6088b80e46466a39b399a9fccf7bc1ab719b54398d3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "82feeba5582d097a175733f9705638ec5bf53470f417f95d8182e63cfd06affc",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2010-04-05T07:36:17Z",
    "title_canon_sha256": "5b169b8a8dc67379f147724a8d719c62debc897940ba6cd07ffcaa396f2a403f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1004.0581",
    "kind": "arxiv",
    "version": 3
  }
}