Pith Number

pith:IFDORI4U

pith:2017:IFDORI4U3Z5MQIPUFGO5ND65YI

not attested not anchored not stored refs pending

Limit theorems with rate of convergence under sublinear expectations

Qi-Man Shao, Shige Peng, Xiao Fang, Yongsheng Song

arxiv:1711.10649 v2 · 2017-11-29 · 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{IFDORI4U3Z5MQIPUFGO5ND65YI}

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	2026-05-18T00:15:58.559818Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4146e8a394de7ac821f4299dd68fddc2177d3bec2510a32400140a88d1de0079

Aliases

arxiv: 1711.10649 · arxiv_version: 1711.10649v2 · doi: 10.48550/arxiv.1711.10649 · pith_short_12: IFDORI4U3Z5M · pith_short_16: IFDORI4U3Z5MQIPU · pith_short_8: IFDORI4U

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/IFDORI4U3Z5MQIPUFGO5ND65YI \
  | 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: 4146e8a394de7ac821f4299dd68fddc2177d3bec2510a32400140a88d1de0079

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8a85a09a4e1e70adc9ea630011c7054db3fad45752bf0753e70dbd7b40e4a86e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2017-11-29T02:32:10Z",
    "title_canon_sha256": "72c976b204459cd073eaaf01e777fc5e9566efaeb139b9cf970bd247da8797dd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1711.10649",
    "kind": "arxiv",
    "version": 2
  }
}