Pith Number

pith:TSDHHWZJ

pith:2026:TSDHHWZJQRU3LQNZNYJR6NROIY

not attested not anchored not stored refs pending

Consistency of variational approximations under bounded Kullback--Leibler divergence

Hien Duy Nguyen, Jacob Westerhout, Julyan Arbel, Thomas Guilmeau

arxiv:2606.13230 v1 · 2026-06-11 · 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{TSDHHWZJQRU3LQNZNYJR6NROIY}

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	2026-06-12T01:09:47.773675Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9c8673db298469b5c1b96e131f362e4633561ecfaebf68795258bbcb7220d0b0

Aliases

arxiv: 2606.13230 · arxiv_version: 2606.13230v1 · doi: 10.48550/arxiv.2606.13230 · pith_short_12: TSDHHWZJQRU3 · pith_short_16: TSDHHWZJQRU3LQNZ · pith_short_8: TSDHHWZJ

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/TSDHHWZJQRU3LQNZNYJR6NROIY \
  | 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: 9c8673db298469b5c1b96e131f362e4633561ecfaebf68795258bbcb7220d0b0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "35a380a91eb08445f4419ca11bb9293811bfb86f1917d5cf306c1b851feaef51",
    "cross_cats_sorted": [
      "stat.TH"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.ST",
    "submitted_at": "2026-06-11T11:43:43Z",
    "title_canon_sha256": "c3bfce16768005508447bcd9397e1dc5c8233fe1f5a46ec0c36aff8f8c850cfb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.13230",
    "kind": "arxiv",
    "version": 1
  }
}