Pith Number

pith:AGK5VYQS

pith:2016:AGK5VYQSXDCUJRUCDTXPZ7H2OV

not attested not anchored not stored refs pending

Asymptotic normality of linear statistics of zeros of random polynomials

Turgay Bayraktar

arxiv:1604.02007 v2 · 2016-04-07 · math.CV · 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{AGK5VYQSXDCUJRUCDTXPZ7H2OV}

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	2026-05-18T00:44:09.715020Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0195dae212b8c544c6821ceefcfcfa755d58948eaa862a91e72e8658a7b5b09f

Aliases

arxiv: 1604.02007 · arxiv_version: 1604.02007v2 · doi: 10.48550/arxiv.1604.02007 · pith_short_12: AGK5VYQSXDCU · pith_short_16: AGK5VYQSXDCUJRUC · pith_short_8: AGK5VYQS

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/AGK5VYQSXDCUJRUCDTXPZ7H2OV \
  | 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: 0195dae212b8c544c6821ceefcfcfa755d58948eaa862a91e72e8658a7b5b09f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cdbf1a0c2882e07b4193f8df66730762f6b111a58b5d63ef8e644f933b762503",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2016-04-07T14:09:18Z",
    "title_canon_sha256": "4b19343c325d1d32903febc9a41d7bd972b876545eb4929d373d99021ba284d1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1604.02007",
    "kind": "arxiv",
    "version": 2
  }
}