Pith Number

pith:VIL4FCYD

pith:2019:VIL4FCYD2KHB4XX6TOQBT62XZ7

not attested not anchored not stored refs pending

Asymptotics for the expected number of nodal components for random lemniscates

Igor Wigman, Zakhar Kabluchko

arxiv:1902.08424 v1 · 2019-02-22 · math.PR · math.CV

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VIL4FCYD2KHB4XX6TOQBT62XZ7}

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	2026-05-17T23:52:57.266508Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

aa17c28b03d28e1e5efe9ba019fb57cfea2dd4548a5ca5f94f8795ca27b6e23e

Aliases

arxiv: 1902.08424 · arxiv_version: 1902.08424v1 · doi: 10.48550/arxiv.1902.08424 · pith_short_12: VIL4FCYD2KHB · pith_short_16: VIL4FCYD2KHB4XX6 · pith_short_8: VIL4FCYD

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/VIL4FCYD2KHB4XX6TOQBT62XZ7 \
  | 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: aa17c28b03d28e1e5efe9ba019fb57cfea2dd4548a5ca5f94f8795ca27b6e23e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "957c60149cfa9843c8d332beef0849842157baf08828a8e4219610191664516f",
    "cross_cats_sorted": [
      "math.CV"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2019-02-22T10:19:28Z",
    "title_canon_sha256": "01eff9ca233e48332f3bec1a7ad65c307a57f2962db37f1a1e9bc9fea10bcce5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1902.08424",
    "kind": "arxiv",
    "version": 1
  }
}