Pith Number

pith:Y6UY3T5X

pith:2017:Y6UY3T5XNUC2CHF42HGTSWA4UC

not attested not anchored not stored refs pending

Information-Theoretic Perspectives on Brascamp-Lieb Inequality and Its Reverse

Jingbo Liu, Paul Cuff, Sergio Verdu, Thomas A. Courtade

arxiv:1702.06260 v3 · 2017-02-21 · cs.IT · math.IT

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{Y6UY3T5XNUC2CHF42HGTSWA4UC}

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	2026-05-18T00:29:01.633872Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c7a98dcfb76d05a11cbcd1cd39581ca08784531f394307dd073aa84bdd81e716

Aliases

arxiv: 1702.06260 · arxiv_version: 1702.06260v3 · doi: 10.48550/arxiv.1702.06260 · pith_short_12: Y6UY3T5XNUC2 · pith_short_16: Y6UY3T5XNUC2CHF4 · pith_short_8: Y6UY3T5X

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/Y6UY3T5XNUC2CHF42HGTSWA4UC \
  | 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: c7a98dcfb76d05a11cbcd1cd39581ca08784531f394307dd073aa84bdd81e716

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "44b1f2bfd8b8c1f702fa8833fb95e7b955f99346ef38bda45326b1c53c278256",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2017-02-21T04:35:05Z",
    "title_canon_sha256": "b664a13fd6c276cd6fa6ea49bd799d866db19269525c6526ea1421f1dac04993"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1702.06260",
    "kind": "arxiv",
    "version": 3
  }
}