Pith Number

pith:K7OW6QRZ

pith:2016:K7OW6QRZHSABCKH2IOF5JREWP3

not attested not anchored not stored refs pending

On the mixed $(\ell _{1},\ell _{2})$-Littlewood inequalities and interpolation

Joedson Santos, Mariana Maia

arxiv:1604.06142 v1 · 2016-04-20 · 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{K7OW6QRZHSABCKH2IOF5JREWP3}

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	2026-05-18T01:16:32.506199Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

57dd6f42393c801128fa438bd4c4967efae8f509e69f9db6885aac346f2357e4

Aliases

arxiv: 1604.06142 · arxiv_version: 1604.06142v1 · doi: 10.48550/arxiv.1604.06142 · pith_short_12: K7OW6QRZHSAB · pith_short_16: K7OW6QRZHSABCKH2 · pith_short_8: K7OW6QRZ

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/K7OW6QRZHSABCKH2IOF5JREWP3 \
  | 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: 57dd6f42393c801128fa438bd4c4967efae8f509e69f9db6885aac346f2357e4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4e746bcf641b118540fc338b066c418ffb1b686be2a0e7df9b2b08e4b70788c9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2016-04-20T23:07:17Z",
    "title_canon_sha256": "94432e4ff788b4ce547a53fe781341404a526f448159a595a29f86fd1c2d707a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1604.06142",
    "kind": "arxiv",
    "version": 1
  }
}