Pith Number

pith:QYD2SOV3

pith:2015:QYD2SOV36ASKEAWT5GFUTVPCVH

not attested not anchored not stored refs pending

Convergence rate in precise asymptotics for Davis law of large numbers

Lingtao Kong

arxiv:1507.06406 v1 · 2015-07-23 · 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{QYD2SOV36ASKEAWT5GFUTVPCVH}

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	2026-05-18T01:36:25.032562Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8607a93abbf024a202d3e98b49d5e2a9e637ef247cf19500854647a0050247f6

Aliases

arxiv: 1507.06406 · arxiv_version: 1507.06406v1 · doi: 10.48550/arxiv.1507.06406 · pith_short_12: QYD2SOV36ASK · pith_short_16: QYD2SOV36ASKEAWT · pith_short_8: QYD2SOV3

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/QYD2SOV36ASKEAWT5GFUTVPCVH \
  | 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: 8607a93abbf024a202d3e98b49d5e2a9e637ef247cf19500854647a0050247f6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b1c7731295fa85feac0c1d6e062737bb03be6b02f988497e98e0f1bb7dd580ec",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2015-07-23T08:08:29Z",
    "title_canon_sha256": "9eebcb99fc1ff36b406b75d47c20b8e6c471527db47684a347ffd7704cdca2ac"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1507.06406",
    "kind": "arxiv",
    "version": 1
  }
}