Pith Number

pith:Z3ZEMRBB

pith:2019:Z3ZEMRBBCEUYFCSXUFBBUWM6H7

not attested not anchored not stored refs pending

Capacity of the range in dimension 5

Bruno Schapira

arxiv:1904.11183 v2 · 2019-04-25 · 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{Z3ZEMRBBCEUYFCSXUFBBUWM6H7}

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

Functional CLT for the range of stable random walks

Receipt and verification

First computed	2026-07-05T01:13:41.480510Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cef24644211129828a57a1421a599e3fee86a693f395cfc74adf2b982dff255e

Aliases

arxiv: 1904.11183 · arxiv_version: 1904.11183v2 · doi: 10.48550/arxiv.1904.11183 · pith_short_12: Z3ZEMRBBCEUY · pith_short_16: Z3ZEMRBBCEUYFCSX · pith_short_8: Z3ZEMRBB

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/Z3ZEMRBBCEUYFCSXUFBBUWM6H7 \
  | 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: cef24644211129828a57a1421a599e3fee86a693f395cfc74adf2b982dff255e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fbc2b41c5df03b0ded2a3d9283975c34f1e61d2baaebba1659a296c0cb8ac27f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2019-04-25T07:34:48Z",
    "title_canon_sha256": "119df1ecfc6062e5bbea829ba48882a4b05e6eb5ad746779a98a8023f98a50dd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1904.11183",
    "kind": "arxiv",
    "version": 2
  }
}