Pith Number

pith:5H5N5WU6

pith:2017:5H5N5WU6QPXVZDL23JDGNGCMOK

not attested not anchored not stored refs pending

Local $L^p$-Brunn-Minkowski inequalities for $p < 1$

Alexander V. Kolesnikov, Emanuel Milman

arxiv:1711.01089 v3 · 2017-11-03 · 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{5H5N5WU6QPXVZDL23JDGNGCMOK}

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

1 paper in Pith

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

Receipt and verification

First computed	2026-05-18T00:22:52.454601Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e9fadeda9e83ef5c8d7ada4666984c72980a873c62897125b12ea8325e389978

Aliases

arxiv: 1711.01089 · arxiv_version: 1711.01089v3 · doi: 10.48550/arxiv.1711.01089 · pith_short_12: 5H5N5WU6QPXV · pith_short_16: 5H5N5WU6QPXVZDL2 · pith_short_8: 5H5N5WU6

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/5H5N5WU6QPXVZDL23JDGNGCMOK \
  | 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: e9fadeda9e83ef5c8d7ada4666984c72980a873c62897125b12ea8325e389978

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "59d7d6f32925c3330cd0d5299ddf3b9f5ecac52b1b0fbe20c072060cccd4abfa",
    "cross_cats_sorted": [
      "math.SP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2017-11-03T10:05:22Z",
    "title_canon_sha256": "bdc58b8eeb0bb1e4fa9ba8db82821bd05762845fd889f2b6621cc32f68e8604e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1711.01089",
    "kind": "arxiv",
    "version": 3
  }
}