Pith Number

pith:G7DQ2PLI

pith:2026:G7DQ2PLI5DGI5FLYMTWPZCBQY6

not attested not anchored not stored refs pending

Closed-form solutions to some generalized variational inference problems

Hien Duy Nguyen, Jacob Westerhout

arxiv:2606.25492 v1 · 2026-06-24 · 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{G7DQ2PLI5DGI5FLYMTWPZCBQY6}

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	2026-06-25T01:18:06.818808Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

37c70d3d68e8cc8e957864ecfc8830c78111e10b578980bdb1857cf4d7ccac57

Aliases

arxiv: 2606.25492 · arxiv_version: 2606.25492v1 · doi: 10.48550/arxiv.2606.25492 · pith_short_12: G7DQ2PLI5DGI · pith_short_16: G7DQ2PLI5DGI5FLY · pith_short_8: G7DQ2PLI

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/G7DQ2PLI5DGI5FLYMTWPZCBQY6 \
  | 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: 37c70d3d68e8cc8e957864ecfc8830c78111e10b578980bdb1857cf4d7ccac57

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "185e4fb80768e9117a6474569c4952e855b1c08da0c32f164c663e43226985be",
    "cross_cats_sorted": [
      "stat.TH"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.ST",
    "submitted_at": "2026-06-24T07:19:53Z",
    "title_canon_sha256": "252813ad5f41f52586efa9b4c60a3d5d51ff569bf527b3e8a26c786b88845c72"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.25492",
    "kind": "arxiv",
    "version": 1
  }
}