Pith Number

pith:2KEOB4OY

pith:2019:2KEOB4OYQ6LMCFIUXNRPP4FJPD

not attested not anchored not stored refs pending

Random polynomials: central limit theorems for the real roots

Oanh Nguyen, Van Vu

arxiv:1904.04347 v3 · 2019-04-08 · 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{2KEOB4OYQ6LMCFIUXNRPP4FJPD}

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.

Cited by

1 paper in Pith

The Variance of the Number of Zeros for Complex Random Polynomials Spanned by OPUC

Receipt and verification

First computed	2026-07-05T02:00:41.856826Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d288e0f1d88796c11514bb62f7f0a978e1b75bde844d3fb9bb9e0e4de52eb6e0

Aliases

arxiv: 1904.04347 · arxiv_version: 1904.04347v3 · doi: 10.48550/arxiv.1904.04347 · pith_short_12: 2KEOB4OYQ6LM · pith_short_16: 2KEOB4OYQ6LMCFIU · pith_short_8: 2KEOB4OY

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/2KEOB4OYQ6LMCFIUXNRPP4FJPD \
  | 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: d288e0f1d88796c11514bb62f7f0a978e1b75bde844d3fb9bb9e0e4de52eb6e0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "531da4f2104a959ecfd7bcf97cb3d9854892078e42b2b7911df42fa65a57ffa3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2019-04-08T20:49:17Z",
    "title_canon_sha256": "1cfe11d278eefd5c4452f54c2d6d7a1f8661c3d91e9cb8c129dab9a933dbb6c6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1904.04347",
    "kind": "arxiv",
    "version": 3
  }
}