Pith Number

pith:BDS3SA53

pith:2026:BDS3SA53SZ64EQZDXIUA4PERST

not attested not anchored not stored refs pending

Weighted Gaussian Approximations for Increments of the Uniform Empirical and Quantile Processes: Fixed-Endpoint Extensions to the Finite-Count Scale

Abdelhakim Necir

arxiv:2606.28222 v1 · 2026-06-26 · 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{BDS3SA53SZ64EQZDXIUA4PERST}

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	2026-06-29T01:15:09.712074Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

08e5b903bb967dc24323ba280e3c9194cd5d4e7a5023a27a9a8ce9a8521c10b2

Aliases

arxiv: 2606.28222 · arxiv_version: 2606.28222v1 · doi: 10.48550/arxiv.2606.28222 · pith_short_12: BDS3SA53SZ64 · pith_short_16: BDS3SA53SZ64EQZD · pith_short_8: BDS3SA53

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/BDS3SA53SZ64EQZDXIUA4PERST \
  | 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: 08e5b903bb967dc24323ba280e3c9194cd5d4e7a5023a27a9a8ce9a8521c10b2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b9cf37ae1b6a7cc4d6ca62d6119b9e699b85a6db0b78556829bc6c36b033ac2b",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2026-06-26T16:11:52Z",
    "title_canon_sha256": "90030684da0f18e0c2c8464b1d1a2e5fc7414ffe075670b5c2d6fe5aaeed8446"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.28222",
    "kind": "arxiv",
    "version": 1
  }
}