Pith Number

pith:SBX7HONA

pith:2026:SBX7HONAPFLJGUPZSLIRCFKLV6

not attested not anchored not stored refs pending

Variational Routing: A Scalable Bayesian Framework for Calibrated Mixture-of-Experts Transformers

Albus Yizhuo Li, Matthew Wicker

arxiv:2603.09453 v3 · 2026-03-10 · cs.LG · cs.AI · stat.ML

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{SBX7HONAPFLJGUPZSLIRCFKLV6}

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.

Cited by

1 paper in Pith

Affinity Is Not Enough: Recovering the Free Energy Principle in Mixture-of-Experts

Receipt and verification

First computed	2026-06-01T01:02:36.656163Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

906ff3b9a079569351f992d111154baf96d5314a8071f754ac4815bfbcb0eb26

Aliases

arxiv: 2603.09453 · arxiv_version: 2603.09453v3 · doi: 10.48550/arxiv.2603.09453 · pith_short_12: SBX7HONAPFLJ · pith_short_16: SBX7HONAPFLJGUPZ · pith_short_8: SBX7HONA

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/SBX7HONAPFLJGUPZSLIRCFKLV6 \
  | 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: 906ff3b9a079569351f992d111154baf96d5314a8071f754ac4815bfbcb0eb26

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d71e67209f77b17399b537786c0a203c8e8ef93164ca63c3b974420f35f3e685",
    "cross_cats_sorted": [
      "cs.AI",
      "stat.ML"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2026-03-10T10:07:53Z",
    "title_canon_sha256": "eb9dd7882dc3dfe2d75c6cd08fd51d0c636e13f1d05313fc91cf3efaf11c50b7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2603.09453",
    "kind": "arxiv",
    "version": 3
  }
}