Pith Number

pith:VKAJLBNZ

pith:2017:VKAJLBNZEZOS7GHFNM5WARR27C

not attested not anchored not stored refs pending

Strong limit theorems for weighted sums of negatively associated random variables in nonlinear probability

Ning Zhang, Yuting Lan

arxiv:1706.05788 v1 · 2017-06-19 · 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{VKAJLBNZEZOS7GHFNM5WARR27C}

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	2026-05-18T00:42:08.897624Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

aa809585b9265d2f98e56b3b60463af887ffa73d3ffc3747974eb3351cbd1037

Aliases

arxiv: 1706.05788 · arxiv_version: 1706.05788v1 · doi: 10.48550/arxiv.1706.05788 · pith_short_12: VKAJLBNZEZOS · pith_short_16: VKAJLBNZEZOS7GHF · pith_short_8: VKAJLBNZ

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/VKAJLBNZEZOS7GHFNM5WARR27C \
  | 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: aa809585b9265d2f98e56b3b60463af887ffa73d3ffc3747974eb3351cbd1037

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9f8311c19d2f4346a27d072f53999efacabe8be303fdc97e61b6ce2ce285c32a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2017-06-19T05:12:33Z",
    "title_canon_sha256": "6e3b121c39e55110ffc004f066248e39ce31fb93150d93ea9035f70fcfbd8c0f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1706.05788",
    "kind": "arxiv",
    "version": 1
  }
}