Pith Number

pith:LHREL2LL

pith:2017:LHREL2LLVCKL7XNN6CDO2AXXQA

not attested not anchored not stored refs pending

Convergence Rates of Variational Posterior Distributions

Chao Gao, Fengshuo Zhang

arxiv:1712.02519 v4 · 2017-12-07 · math.ST · stat.ML · 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{LHREL2LLVCKL7XNN6CDO2AXXQA}

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	2026-05-17T23:43:18.332425Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

59e245e96ba894bfddadf086ed02f7802a6a2c58fbc73dabcc91a5e8fa81d3bf

Aliases

arxiv: 1712.02519 · arxiv_version: 1712.02519v4 · doi: 10.48550/arxiv.1712.02519 · pith_short_12: LHREL2LLVCKL · pith_short_16: LHREL2LLVCKL7XNN · pith_short_8: LHREL2LL

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/LHREL2LLVCKL7XNN6CDO2AXXQA \
  | 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: 59e245e96ba894bfddadf086ed02f7802a6a2c58fbc73dabcc91a5e8fa81d3bf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4c52da4a443f761bd6aef16a36a7a20c28de1284d09ac07790a195a8af1b12f0",
    "cross_cats_sorted": [
      "stat.ML",
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.ST",
    "submitted_at": "2017-12-07T07:30:16Z",
    "title_canon_sha256": "f7981c4aae9d6d383c306f09aab433cac8bacfb6000e2ae5884e92067c38b8ad"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1712.02519",
    "kind": "arxiv",
    "version": 4
  }
}