Pith Number

pith:KIE56TZY

pith:2013:KIE56TZYAOX3DZQXAK6JZHOEKU

not attested not anchored not stored refs pending

Geometry of the $L_q$-centroid bodies of an isotropic log-concave measure

Antonis Tsolomitis, Apostolos Giannopoulos, Beatrice-Helen Vritsiou, Pantelis Stavrakakis

arxiv:1306.0246 v1 · 2013-06-02 · math.FA · math.MG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{KIE56TZYAOX3DZQXAK6JZHOEKU}

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	2026-05-18T03:21:55.710172Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5209df4f3803afb1e61702bc9c9dc455249b3290add00458c156fba3bca072f8

Aliases

arxiv: 1306.0246 · arxiv_version: 1306.0246v1 · doi: 10.48550/arxiv.1306.0246 · pith_short_12: KIE56TZYAOX3 · pith_short_16: KIE56TZYAOX3DZQX · pith_short_8: KIE56TZY

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/KIE56TZYAOX3DZQXAK6JZHOEKU \
  | 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: 5209df4f3803afb1e61702bc9c9dc455249b3290add00458c156fba3bca072f8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f6ee7138c4f95b635d77590891cf3069c480008eb6656a3771fd85a519a54ace",
    "cross_cats_sorted": [
      "math.MG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2013-06-02T19:47:53Z",
    "title_canon_sha256": "59235e97f4a370b22ee3f80b8193b6d313e2048a7342ff814ffe80908f3372f2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1306.0246",
    "kind": "arxiv",
    "version": 1
  }
}