Pith Number

pith:NI37NNOV

pith:2015:NI37NNOVUQU6FUZASNXMP2JJIV

not attested not anchored not stored refs pending

The optimal constants for the real Hardy--Littlewood inequality for bilinear forms on $c_{0}\times\ell_{p}$

Daniel Nunez-Alarcon, Daniel Pellegrino

arxiv:1508.02355 v3 · 2015-08-10 · math.NT · 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{NI37NNOVUQU6FUZASNXMP2JJIV}

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	2026-05-18T00:19:42.990192Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6a37f6b5d5a429e2d320936ec7e929456334079f90016cf430fb28d0d798ae03

Aliases

arxiv: 1508.02355 · arxiv_version: 1508.02355v3 · doi: 10.48550/arxiv.1508.02355 · pith_short_12: NI37NNOVUQU6 · pith_short_16: NI37NNOVUQU6FUZA · pith_short_8: NI37NNOV

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/NI37NNOVUQU6FUZASNXMP2JJIV \
  | 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: 6a37f6b5d5a429e2d320936ec7e929456334079f90016cf430fb28d0d798ae03

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "255e69da43f556fecda582d35a67d2e0e8867bdd84a2a78ad92e9cd9eb59703d",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2015-08-10T19:05:00Z",
    "title_canon_sha256": "fc1a370f2d55f1462be29f495dd8689f3911cb9e49cd7b311a0e254c3891934a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1508.02355",
    "kind": "arxiv",
    "version": 3
  }
}