Pith Number

pith:UUCLJUGN

pith:2013:UUCLJUGN2RYHBIGQWXTGBLJJKH

not attested not anchored not stored refs pending

Brascamp-Lieb type inequalities on weighted Riemannian manifolds with boundary

Alexander V. Kolesnikov, Emanuel Milman

arxiv:1310.2526 v7 · 2013-10-09 · math.DG · math.FA · math.SP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{UUCLJUGN2RYHBIGQWXTGBLJJKH}

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	2026-05-18T00:29:49.499480Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a504b4d0cdd47070a0d0b5e660ad2951fc74668ebb2b5c2202acd0439b936b26

Aliases

arxiv: 1310.2526 · arxiv_version: 1310.2526v7 · doi: 10.48550/arxiv.1310.2526 · pith_short_12: UUCLJUGN2RYH · pith_short_16: UUCLJUGN2RYHBIGQ · pith_short_8: UUCLJUGN

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/UUCLJUGN2RYHBIGQWXTGBLJJKH \
  | 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: a504b4d0cdd47070a0d0b5e660ad2951fc74668ebb2b5c2202acd0439b936b26

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4e7956aba2e48008d5fc98e9d85143f2ddacf8ffefba4bda8ab92605277dbd84",
    "cross_cats_sorted": [
      "math.FA",
      "math.SP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2013-10-09T15:44:23Z",
    "title_canon_sha256": "fc31d71057df4ade65dc251999f560b567ec73062d2d72ed6baeaacb0f40c478"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1310.2526",
    "kind": "arxiv",
    "version": 7
  }
}