Pith Number

pith:C6ZA4DXB

pith:2014:C6ZA4DXB4OCOIZWIWLT3P6MO4N

not attested not anchored not stored refs pending

Small ball probabilities for linear images of high dimensional distributions

Mark Rudelson, Roman Vershynin

arxiv:1402.4492 v2 · 2014-02-18 · 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{C6ZA4DXB4OCOIZWIWLT3P6MO4N}

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	2026-05-18T00:54:14.157307Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

17b20e0ee1e384e466c8b2e7b7f98ee350c483e21bffdaf28089e9a4df78b49c

Aliases

arxiv: 1402.4492 · arxiv_version: 1402.4492v2 · doi: 10.48550/arxiv.1402.4492 · pith_short_12: C6ZA4DXB4OCO · pith_short_16: C6ZA4DXB4OCOIZWI · pith_short_8: C6ZA4DXB

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/C6ZA4DXB4OCOIZWIWLT3P6MO4N \
  | 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: 17b20e0ee1e384e466c8b2e7b7f98ee350c483e21bffdaf28089e9a4df78b49c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c0aa43d0663e2deae48368a1f82d617b35c9b8aae7e1bd515c6bf72eca827900",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2014-02-18T21:14:31Z",
    "title_canon_sha256": "77120c928b40cbbc1e0e495502b6fcd548ca7a66be6f9ab4a6b6836bfbbf4064"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1402.4492",
    "kind": "arxiv",
    "version": 2
  }
}