Pith Number

pith:QSPQLCRN

pith:2022:QSPQLCRNGFZFOPLDNBLLZY63PJ

not attested not anchored not stored refs pending

Exact bounds for some quadratic empirical processes with applications

Qiyang Han

arxiv:2207.13594 v3 · 2022-07-27 · math.PR · math.ST · stat.TH

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{QSPQLCRNGFZFOPLDNBLLZY63PJ}

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	2026-07-05T08:46:50.470351Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

849f058a2d3172573d636856bce3db7a4738ba5374b5eeb5d790fdc82ca1c998

Aliases

arxiv: 2207.13594 · arxiv_version: 2207.13594v3 · doi: 10.48550/arxiv.2207.13594 · pith_short_12: QSPQLCRNGFZF · pith_short_16: QSPQLCRNGFZFOPLD · pith_short_8: QSPQLCRN

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/QSPQLCRNGFZFOPLDNBLLZY63PJ \
  | 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: 849f058a2d3172573d636856bce3db7a4738ba5374b5eeb5d790fdc82ca1c998

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "efba6973d990d8feb216e8b9114117a8c933b1eae92c92b54dc47725b3322de1",
    "cross_cats_sorted": [
      "math.ST",
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2022-07-27T15:54:11Z",
    "title_canon_sha256": "9ff778c00d7ee5797a1e08c038d88108ec1e21818555f88c51f08ee47f016e70"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2207.13594",
    "kind": "arxiv",
    "version": 3
  }
}