Pith Number

pith:UIE5ZVTT

pith:2025:UIE5ZVTTV4N5FDKTXLVZRVCVGK

not attested not anchored not stored refs pending

Sharp Quantitative Stability for the Pr\'ekopa-Leindler and Borell-Brascamp-Lieb Inequalities

Alessio Figalli, Marius Tiba, Peter van Hintum

arxiv:2501.04656 v1 · 2025-01-08 · math.FA · math.AP · math.CO · math.MG · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{UIE5ZVTTV4N5FDKTXLVZRVCVGK}

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.

Cited by

2 papers in Pith

The sharp threshold for Hausdorff convexification under Minkowski addition

Equality in Liakopoulos's generalized dual Loomis-Whitney inequality via Barthe's Reverse Brascamp-Lieb inequality

Receipt and verification

First computed	2026-07-05T09:58:38.530293Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a209dcd673af1bd28d53baeb98d455329e25a0f2821b15f9fa5f5d69a7ec8964

Aliases

arxiv: 2501.04656 · arxiv_version: 2501.04656v1 · doi: 10.48550/arxiv.2501.04656 · pith_short_12: UIE5ZVTTV4N5 · pith_short_16: UIE5ZVTTV4N5FDKT · pith_short_8: UIE5ZVTT

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/UIE5ZVTTV4N5FDKTXLVZRVCVGK \
  | 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: a209dcd673af1bd28d53baeb98d455329e25a0f2821b15f9fa5f5d69a7ec8964

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "231649f39186d0f54d0221a4624b2acbd11854ade54df51a289a3f5d3fc8355a",
    "cross_cats_sorted": [
      "math.AP",
      "math.CO",
      "math.MG",
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2025-01-08T18:09:25Z",
    "title_canon_sha256": "672859afee54976b845695096b8ec2867863e8b116037ce83c0c31c0d2e8f371"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2501.04656",
    "kind": "arxiv",
    "version": 1
  }
}