Pith Number

pith:2VU3KHDM

pith:2015:2VU3KHDMMZBY7PX5OPWWDJUIZW

not attested not anchored not stored refs pending

Quantitative Borell-Brascamp-Lieb inequalities for compactly supported power concave functions (and some applications)

Daria Ghilli, Paolo Salani

arxiv:1502.02810 v3 · 2015-02-10 · math.AP · 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{2VU3KHDMMZBY7PX5OPWWDJUIZW}

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	2026-05-18T01:35:56.818011Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d569b51c6c66438fbefd73ed61a688cdb61254958515f314638adc4ed666b6e2

Aliases

arxiv: 1502.02810 · arxiv_version: 1502.02810v3 · doi: 10.48550/arxiv.1502.02810 · pith_short_12: 2VU3KHDMMZBY · pith_short_16: 2VU3KHDMMZBY7PX5 · pith_short_8: 2VU3KHDM

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/2VU3KHDMMZBY7PX5OPWWDJUIZW \
  | 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: d569b51c6c66438fbefd73ed61a688cdb61254958515f314638adc4ed666b6e2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0e8d9efeb2b093c18458393335e9a74d44d7915596da8c3d6d65d4e649d9ffb5",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2015-02-10T08:37:49Z",
    "title_canon_sha256": "e9f49266ed46525ef8e53f8b2974ee7aefee4d0d9e144b254b383ec1bbf7cb50"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1502.02810",
    "kind": "arxiv",
    "version": 3
  }
}