Pith Number

pith:TJUIXFIQ

pith:2025:TJUIXFIQLVB5Q37QIDSSJYKY74

not attested not anchored not stored refs pending

Stability of Mean-Field Variational Inference

Alberto Gonz\'alez-Sanz, Bohan Wu, Marcel Nutz, Shunan Sheng

arxiv:2506.07856 v1 · 2025-06-09 · math.PR · math.FA · 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{TJUIXFIQLVB5Q37QIDSSJYKY74}

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	2026-07-05T11:18:34.528722Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9a688b95105d43d86ff040e524e158ff258d4c77457b4adcac0b6ad66df28256

Aliases

arxiv: 2506.07856 · arxiv_version: 2506.07856v1 · doi: 10.48550/arxiv.2506.07856 · pith_short_12: TJUIXFIQLVB5 · pith_short_16: TJUIXFIQLVB5Q37Q · pith_short_8: TJUIXFIQ

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/TJUIXFIQLVB5Q37QIDSSJYKY74 \
  | 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: 9a688b95105d43d86ff040e524e158ff258d4c77457b4adcac0b6ad66df28256

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c893a201d8724f203a647f30d91c97b060e4ba1ff9db1edb25db10ff9a5a5ada",
    "cross_cats_sorted": [
      "math.FA",
      "math.ST",
      "stat.ML",
      "stat.TH"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2025-06-09T15:21:37Z",
    "title_canon_sha256": "de8cc9d089ca371378b7f0f2bfcc97a98f8dfa839be6fa2494d5b4afc2d00238"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2506.07856",
    "kind": "arxiv",
    "version": 1
  }
}