Pith Number

pith:ZUP2BJB5

pith:2014:ZUP2BJB5VAVDRLPYT3KVQ4CI4R

not attested not anchored not stored refs pending

Concentration of random polytopes around the expected convex hull

Daniel J. Fresen, Richard A. Vitale

arxiv:1402.2718 v2 · 2014-02-12 · 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{ZUP2BJB5VAVDRLPYT3KVQ4CI4R}

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	2026-05-18T02:56:51.478262Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cd1fa0a43da82a38adf89ed5587048e459a660b6d6ac58c3d980e2a0881c376a

Aliases

arxiv: 1402.2718 · arxiv_version: 1402.2718v2 · doi: 10.48550/arxiv.1402.2718 · pith_short_12: ZUP2BJB5VAVD · pith_short_16: ZUP2BJB5VAVDRLPY · pith_short_8: ZUP2BJB5

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/ZUP2BJB5VAVDRLPYT3KVQ4CI4R \
  | 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: cd1fa0a43da82a38adf89ed5587048e459a660b6d6ac58c3d980e2a0881c376a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9470cd0fc8e2ace592bc25b9d6accb79b41ebf300798d4a6dfc6ca341baaa3ac",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2014-02-12T02:54:18Z",
    "title_canon_sha256": "3f592deafdb4699400da4d65183caadb67db123e72ddf9cba04fa0f623ee0bf6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1402.2718",
    "kind": "arxiv",
    "version": 2
  }
}