Pith Number

pith:7KQXRMV3

pith:2012:7KQXRMV3VEFXPGSNMX6FSOYZHC

not attested not anchored not stored refs pending

Near Equality in the Brunn-Minkowski Inequality

Michael Christ

arxiv:1207.5062 v1 · 2012-07-20 · math.CA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{7KQXRMV3VEFXPGSNMX6FSOYZHC}

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

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

Receipt and verification

First computed	2026-05-18T03:50:24.709771Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

faa178b2bba90b779a4d65fc593b1938b1e77dde857a69e29ff13affc6853556

Aliases

arxiv: 1207.5062 · arxiv_version: 1207.5062v1 · doi: 10.48550/arxiv.1207.5062 · pith_short_12: 7KQXRMV3VEFX · pith_short_16: 7KQXRMV3VEFXPGSN · pith_short_8: 7KQXRMV3

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/7KQXRMV3VEFXPGSNMX6FSOYZHC \
  | 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: faa178b2bba90b779a4d65fc593b1938b1e77dde857a69e29ff13affc6853556

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d07b2931b50b5f02b4550057032af87c5c23cd3169031f8a20f85f90ad63453f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2012-07-20T21:18:34Z",
    "title_canon_sha256": "b6fe0cdf7ce45d4091f52fab8d852aed633669a2f8e45f5305c1d01f04452bee"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1207.5062",
    "kind": "arxiv",
    "version": 1
  }
}