Pith Number

pith:Z7LADLNT

pith:2013:Z7LADLNTWB6N5EC364QE2JUOQT

not attested not anchored not stored refs pending

Volume of the polar of random sets and shadow systems

Dario Cordero-Erausquin, Grigoris Paouris, Matthieu Fradelizi, Peter Pivovarov

arxiv:1311.3690 v1 · 2013-11-14 · math.MG · 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{Z7LADLNTWB6N5EC364QE2JUOQT}

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	2026-05-18T03:07:03.258072Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cfd601adb3b07cde905bf7204d268e84dce809e27a0608b38b11d2ad46535598

Aliases

arxiv: 1311.3690 · arxiv_version: 1311.3690v1 · doi: 10.48550/arxiv.1311.3690 · pith_short_12: Z7LADLNTWB6N · pith_short_16: Z7LADLNTWB6N5EC3 · pith_short_8: Z7LADLNT

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/Z7LADLNTWB6N5EC364QE2JUOQT \
  | 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: cfd601adb3b07cde905bf7204d268e84dce809e27a0608b38b11d2ad46535598

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e3726f679dd4d957d768747f357a4b1f2e7b91537edfd1e1c7b9752648f545ab",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2013-11-14T22:47:25Z",
    "title_canon_sha256": "bd9b2099e3ecf8de4a6aab39a9ffa5a079becbbfae43e4f4a80f9cec86b77d3f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1311.3690",
    "kind": "arxiv",
    "version": 1
  }
}