Pith Number

pith:5HAUOKVX

pith:2017:5HAUOKVXGPGZE2P6OINADI4ZYU

not attested not anchored not stored refs pending

A Note on Concentration Inequalities for U-Statistics

Yannik Pitcan

arxiv:1712.06160 v2 · 2017-12-17 · 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{5HAUOKVXGPGZE2P6OINADI4ZYU}

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	2026-05-17T23:51:14.734863Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e9c1472ab733cd9269fe721a01a399c5259a83344c311feb8a65230f8f0e6a69

Aliases

arxiv: 1712.06160 · arxiv_version: 1712.06160v2 · doi: 10.48550/arxiv.1712.06160 · pith_short_12: 5HAUOKVXGPGZ · pith_short_16: 5HAUOKVXGPGZE2P6 · pith_short_8: 5HAUOKVX

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/5HAUOKVXGPGZE2P6OINADI4ZYU \
  | 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: e9c1472ab733cd9269fe721a01a399c5259a83344c311feb8a65230f8f0e6a69

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "69ce7e9610109acc612fbbb54fda40f582ba3e3afa8bf819186ef1987d0a9abf",
    "cross_cats_sorted": [
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.ST",
    "submitted_at": "2017-12-17T19:25:20Z",
    "title_canon_sha256": "6f89f23f13e64c4a9dbf1020aa8387752fa4e2d6219ae456ca8f35fe896c9b57"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1712.06160",
    "kind": "arxiv",
    "version": 2
  }
}