Pith Number

pith:WP3B5PZ4

pith:2016:WP3B5PZ47KWRX3LZNSYS73DK6A

not attested not anchored not stored refs pending

Asymptotic shape of the convex hull of isotropic log-concave random vectors

Antonis Tsolomitis, Apostolos Giannopoulos, Labrini Hioni

arxiv:1601.02252 v1 · 2016-01-10 · 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{WP3B5PZ47KWRX3LZNSYS73DK6A}

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	2026-05-18T01:23:06.844990Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b3f61ebf3cfaad1bed796cb12fec6af0294177bee3460e9de10483ca5cc1488b

Aliases

arxiv: 1601.02252 · arxiv_version: 1601.02252v1 · doi: 10.48550/arxiv.1601.02252 · pith_short_12: WP3B5PZ47KWR · pith_short_16: WP3B5PZ47KWRX3LZ · pith_short_8: WP3B5PZ4

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/WP3B5PZ47KWRX3LZNSYS73DK6A \
  | 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: b3f61ebf3cfaad1bed796cb12fec6af0294177bee3460e9de10483ca5cc1488b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c834c1db7c70a6ace75972793b772083f76ed7e83367143daa6ce2e439bb10cf",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2016-01-10T19:00:05Z",
    "title_canon_sha256": "da2e2e3955f914e03734f7fa059792655cabd4c2d659cad2b9f371c00c8c8a6b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1601.02252",
    "kind": "arxiv",
    "version": 1
  }
}