Pith Number

pith:GQU7FQYD

pith:2018:GQU7FQYDJKUNV6CPKCQC4AMAEY

not attested not anchored not stored refs pending

Renewal theory for asymmetric $U$-statistics

Svante Janson

arxiv:1804.05509 v1 · 2018-04-16 · 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{GQU7FQYDJKUNV6CPKCQC4AMAEY}

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	2026-05-18T00:18:27.990623Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3429f2c3034aa8daf84f50a02e01802628767f91e1dcaa02b711c3393f43c463

Aliases

arxiv: 1804.05509 · arxiv_version: 1804.05509v1 · doi: 10.48550/arxiv.1804.05509 · pith_short_12: GQU7FQYDJKUN · pith_short_16: GQU7FQYDJKUNV6CP · pith_short_8: GQU7FQYD

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/GQU7FQYDJKUNV6CPKCQC4AMAEY \
  | 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: 3429f2c3034aa8daf84f50a02e01802628767f91e1dcaa02b711c3393f43c463

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "11aed708ba14751bf6317cf9de5bfb0bb0d961df31e5d75e846d2f59bdbb2575",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2018-04-16T06:03:22Z",
    "title_canon_sha256": "91d157b2b3b47e72d9ca233c6f6a0651be474aa8a63214f82f3802eb4963dac6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1804.05509",
    "kind": "arxiv",
    "version": 1
  }
}