Pith Number

pith:IP5VCDDH

pith:2014:IP5VCDDHFTJULCSZM3LSHBJ3BO

not attested not anchored not stored refs pending

Convergence of U-statistics indexed by a random walk to stochastic integrals of a Levy sheet

Brice Franke (LM), Francoise Pene (LM), Martin Wendler

arxiv:1401.7958 v2 · 2014-01-30 · 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{IP5VCDDHFTJULCSZM3LSHBJ3BO}

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	2026-05-18T02:44:31.436915Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

43fb510c672cd3458a5966d723853b0b9aee53eafa47723c38e46b58e3e08192

Aliases

arxiv: 1401.7958 · arxiv_version: 1401.7958v2 · doi: 10.48550/arxiv.1401.7958 · pith_short_12: IP5VCDDHFTJU · pith_short_16: IP5VCDDHFTJULCSZ · pith_short_8: IP5VCDDH

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/IP5VCDDHFTJULCSZM3LSHBJ3BO \
  | 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: 43fb510c672cd3458a5966d723853b0b9aee53eafa47723c38e46b58e3e08192

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1be580d2514180b6ddf36cc73cd0b54df4046d5548acb9feb2e3a725f28eab1a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2014-01-30T19:13:16Z",
    "title_canon_sha256": "51e74fd8ce85e10c53a80721a0cb565712b9ea4ccc6704f77d8664eed37a1191"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1401.7958",
    "kind": "arxiv",
    "version": 2
  }
}