Pith Number

pith:3OLAEDP7

pith:1995:3OLAEDP7GBXE7YJNTIMAVI3OTA

not attested not anchored not stored refs pending

Volumes of Restricted Minkowski Sums and the Free Analogue of the Entropy Power Inequality

D. Voiculescu, Stanislaw J. Szarek

arxiv:math/9510203 v1 · 1995-10-27 · math.PR · 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{3OLAEDP7GBXE7YJNTIMAVI3OTA}

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	2026-05-18T01:05:48.246945Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

db96020dff306e4fe12d9a180aa36e98077d9b8db0ae0c1267ea2c23aefe3c4c

Aliases

arxiv: math/9510203 · arxiv_version: math/9510203v1 · doi: 10.48550/arxiv.math/9510203 · pith_short_12: 3OLAEDP7GBXE · pith_short_16: 3OLAEDP7GBXE7YJN · pith_short_8: 3OLAEDP7

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/3OLAEDP7GBXE7YJNTIMAVI3OTA \
  | 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: db96020dff306e4fe12d9a180aa36e98077d9b8db0ae0c1267ea2c23aefe3c4c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "915b8501b37625ba72da3a2173dc08ccf18ed11ec99b9d4d6e5a709694d371d5",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "",
    "primary_cat": "math.PR",
    "submitted_at": "1995-10-27T00:00:00Z",
    "title_canon_sha256": "7be7a4025f806b6c1079dfada280dbd02934c16c9ecf3de70ad78130c0756ee0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/9510203",
    "kind": "arxiv",
    "version": 1
  }
}