Pith Number

pith:7LI7ROBI

pith:2017:7LI7ROBIDZ4SNYZJKZWBTJ4JSY

not attested not anchored not stored refs pending

Intertwinings, second-order Brascamp-Lieb inequalities and spectral estimates

Ald\'eric Joulin (IMT), Michel Bonnefont (IMB)

arxiv:1710.08106 v1 · 2017-10-23 · math.PR · 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{7LI7ROBIDZ4SNYZJKZWBTJ4JSY}

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	2026-05-18T00:32:17.192088Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fad1f8b8281e7926e329566c19a78996350c9b3f8aadab0565fafc343999c8a1

Aliases

arxiv: 1710.08106 · arxiv_version: 1710.08106v1 · doi: 10.48550/arxiv.1710.08106 · pith_short_12: 7LI7ROBIDZ4S · pith_short_16: 7LI7ROBIDZ4SNYZJ · pith_short_8: 7LI7ROBI

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/7LI7ROBIDZ4SNYZJKZWBTJ4JSY \
  | 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: fad1f8b8281e7926e329566c19a78996350c9b3f8aadab0565fafc343999c8a1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cc68df78b3e2f69cf8f11925aa87c5bb00f7ccc6eb10d669f9375283d8b8094f",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2017-10-23T06:40:44Z",
    "title_canon_sha256": "d893e9e74eda77130b1ab2603311fac1e754e960e22bb66fdc24ab1d916ebda7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1710.08106",
    "kind": "arxiv",
    "version": 1
  }
}