Pith Number

pith:SORGWRHY

pith:2010:SORGWRHYRKBZWPJ5TRPA7C3M5X

not attested not anchored not stored refs pending

On refined Young inequalities

Minghua Lin, Shigeru Furuichi

arxiv:1001.0195 v3 · 2010-01-04 · 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{SORGWRHYRKBZWPJ5TRPA7C3M5X}

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	2026-05-18T04:03:54.766550Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

93a26b44f88a839b3d3d9c5e0f8b6cedc79c56d67bb09e2eb1d92dda63e55f5d

Aliases

arxiv: 1001.0195 · arxiv_version: 1001.0195v3 · doi: 10.48550/arxiv.1001.0195 · pith_short_12: SORGWRHYRKBZ · pith_short_16: SORGWRHYRKBZWPJ5 · pith_short_8: SORGWRHY

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/SORGWRHYRKBZWPJ5TRPA7C3M5X \
  | 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: 93a26b44f88a839b3d3d9c5e0f8b6cedc79c56d67bb09e2eb1d92dda63e55f5d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b22f23129e82e1d4f230357a224ab756d7dc3ffe98e4af1bfc1411f811b30412",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2010-01-04T15:26:30Z",
    "title_canon_sha256": "c982f663b222cc4d1f7673af3c07ff41dc2f6b70f59fcce75bc9103f225864b6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1001.0195",
    "kind": "arxiv",
    "version": 3
  }
}