Pith Number

pith:SJ6CUKQ5

pith:2015:SJ6CUKQ5JHHQ24CE4NMLRZO5LY

not attested not anchored not stored refs pending

The optimal constants of the mixed $\left( \ell_{1},\ell _{2}\right) $-Littlewood inequality

Daniel Pellegrino

arxiv:1501.00965 v3 · 2015-01-05 · 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{SJ6CUKQ5JHHQ24CE4NMLRZO5LY}

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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	2026-05-18T01:31:30.034918Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

927c2a2a1d49cf0d7044e358b8e5dd5e37dee51c86b7a3667f20fdf02b899b08

Aliases

arxiv: 1501.00965 · arxiv_version: 1501.00965v3 · doi: 10.48550/arxiv.1501.00965 · pith_short_12: SJ6CUKQ5JHHQ · pith_short_16: SJ6CUKQ5JHHQ24CE · pith_short_8: SJ6CUKQ5

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/SJ6CUKQ5JHHQ24CE4NMLRZO5LY \
  | 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: 927c2a2a1d49cf0d7044e358b8e5dd5e37dee51c86b7a3667f20fdf02b899b08

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d8839387a8a32d09b2ef1639a918b3fc0e679de977f54519a0421d2cdab8e210",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2015-01-05T20:33:25Z",
    "title_canon_sha256": "b1545f310bc06fce7502c96a37bd65ca62a014929f895937437bea7e31f30d09"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1501.00965",
    "kind": "arxiv",
    "version": 3
  }
}