Pith Number

pith:FSSZSMRV

pith:2019:FSSZSMRVAWZ6FNE5VK7VKO7ZBB

not attested not anchored not stored refs pending

Extension of Limit Theory with Deleting Items Partial Sum of Random Variable Sequence

Jingwei Liu

arxiv:1908.03541 v1 · 2019-08-09 · 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{FSSZSMRVAWZ6FNE5VK7VKO7ZBB}

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	2026-07-04T23:52:40.732296Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2ca599323505b3e2b49daabf553bf9086f4803aa781fb9e0001f588131a65615

Aliases

arxiv: 1908.03541 · arxiv_version: 1908.03541v1 · doi: 10.48550/arxiv.1908.03541 · pith_short_12: FSSZSMRVAWZ6 · pith_short_16: FSSZSMRVAWZ6FNE5 · pith_short_8: FSSZSMRV

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/FSSZSMRVAWZ6FNE5VK7VKO7ZBB \
  | 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: 2ca599323505b3e2b49daabf553bf9086f4803aa781fb9e0001f588131a65615

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "05d4ad3f932fdac23a55c30ecbd44fc065edfd6dd3b224ed80d24870bbeb3ef4",
    "cross_cats_sorted": [
      "math.ST",
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2019-08-09T17:07:10Z",
    "title_canon_sha256": "99e3cbeb77c91205b9d678ad212046bc6728c51e58f8c6c2efba793771630d82"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1908.03541",
    "kind": "arxiv",
    "version": 1
  }
}