Pith Number

pith:SOZGUTWX

pith:2016:SOZGUTWXIRRY7CWDTDYGRBT6KD

not attested not anchored not stored refs pending

On the isotropic constant of random polytopes with vertices on an $\ell_p$-sphere

Christoph Thaele, Joscha Prochno, Julia H\"orrmann

arxiv:1605.09160 v3 · 2016-05-30 · math.FA · math.MG · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{SOZGUTWXIRRY7CWDTDYGRBT6KD}

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	2026-05-18T00:48:54.514127Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

93b26a4ed744638f8ac398f068867e50d6763ea8b5c49962228bc4337cff1e61

Aliases

arxiv: 1605.09160 · arxiv_version: 1605.09160v3 · doi: 10.48550/arxiv.1605.09160 · pith_short_12: SOZGUTWXIRRY · pith_short_16: SOZGUTWXIRRY7CWD · pith_short_8: SOZGUTWX

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/SOZGUTWXIRRY7CWDTDYGRBT6KD \
  | 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: 93b26a4ed744638f8ac398f068867e50d6763ea8b5c49962228bc4337cff1e61

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "85957214f17f527c968d2c629cd9715cd2b80fc1cb2ccbed885895fb6cf91994",
    "cross_cats_sorted": [
      "math.MG",
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2016-05-30T10:05:43Z",
    "title_canon_sha256": "70e8a1b89bc01084582275700660e662292bf0a91de9ac6f9c2d64afef4f1b78"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1605.09160",
    "kind": "arxiv",
    "version": 3
  }
}