Pith Number

pith:YTKNNKAV

pith:2004:YTKNNKAVIKMRUCY3KLAM2WDT7Z

not attested not anchored not stored refs pending

The zeros of random polynomials cluster uniformly near the unit circle

A. Nikeghbali, C.P. Hughes

arxiv:math/0406376 v3 · 2004-06-18 · 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{YTKNNKAVIKMRUCY3KLAM2WDT7Z}

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	2026-05-18T03:02:31.291006Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c4d4d6a81542991a0b1b52c0cd5873fe710be530ea15b2d7361c082000cf2f2c

Aliases

arxiv: math/0406376 · arxiv_version: math/0406376v3 · doi: 10.48550/arxiv.math/0406376 · pith_short_12: YTKNNKAVIKMR · pith_short_16: YTKNNKAVIKMRUCY3 · pith_short_8: YTKNNKAV

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/YTKNNKAVIKMRUCY3KLAM2WDT7Z \
  | 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: c4d4d6a81542991a0b1b52c0cd5873fe710be530ea15b2d7361c082000cf2f2c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3ae57365728e98700114d3f5f2cd41d844c2d4aca6bc43a219f65923520c3637",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "",
    "primary_cat": "math.CV",
    "submitted_at": "2004-06-18T18:43:49Z",
    "title_canon_sha256": "d7ac43d6331442979eef7959535e8a91e5a7a2fc006ef4c91be5b0b9b5d30a6b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0406376",
    "kind": "arxiv",
    "version": 3
  }
}