Pith Number

pith:CADDEAHL

pith:2015:CADDEAHLGVE7QOAKYVHSARHYHU

not attested not anchored not stored refs pending

A CLT concerning critical points of random functions on a Euclidean space

Liviu I. Nicolaescu

arxiv:1509.06200 v2 · 2015-09-21 · math.PR · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{CADDEAHLGVE7QOAKYVHSARHYHU}

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	2026-05-18T01:27:31.201290Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

10063200eb3549f8380ac54f2044f83d274760e18af230098d0ee330c9a24631

Aliases

arxiv: 1509.06200 · arxiv_version: 1509.06200v2 · doi: 10.48550/arxiv.1509.06200 · pith_short_12: CADDEAHLGVE7 · pith_short_16: CADDEAHLGVE7QOAK · pith_short_8: CADDEAHL

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/CADDEAHLGVE7QOAKYVHSARHYHU \
  | 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: 10063200eb3549f8380ac54f2044f83d274760e18af230098d0ee330c9a24631

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7e2e01044a548ff390079e4bff459e230f38e404cdd05f9d656b812b0b9d243f",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2015-09-21T12:24:25Z",
    "title_canon_sha256": "dfd1e4d0582d9237a19f02a790640e2f1395f3ed574604e8c43e8253cc58b9b7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1509.06200",
    "kind": "arxiv",
    "version": 2
  }
}