Pith Number

pith:X5HLR35A

pith:2026:X5HLR35ABEVRWIQTMZXKSPXDDP

not attested not anchored not stored refs pending

ProbMoE: Differentiable Probabilistic Routing for Mixture-of-Experts

Guy Van den Broeck, Heng Zhao, Zhe Zeng, Zilei Shao

arxiv:2606.01509 v1 · 2026-06-01 · cs.LG · cs.AI

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{X5HLR35ABEVRWIQTMZXKSPXDDP}

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	2026-06-02T02:04:35.058524Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bf4eb8efa0092b1b2213666ea93ee31bfccd499839a05100a25ddcfc49de06ca

Aliases

arxiv: 2606.01509 · arxiv_version: 2606.01509v1 · doi: 10.48550/arxiv.2606.01509 · pith_short_12: X5HLR35ABEVR · pith_short_16: X5HLR35ABEVRWIQT · pith_short_8: X5HLR35A

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/X5HLR35ABEVRWIQTMZXKSPXDDP \
  | 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: bf4eb8efa0092b1b2213666ea93ee31bfccd499839a05100a25ddcfc49de06ca

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "04e718cf8aad4aabbd48a70667aae9954c0f77c131e1d1db36a5d622d3add7e3",
    "cross_cats_sorted": [
      "cs.AI"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2026-06-01T00:16:36Z",
    "title_canon_sha256": "88aeb6fa964d069d2bc9f05afa8899599b0d7e80167d2e290de84dda87959f53"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.01509",
    "kind": "arxiv",
    "version": 1
  }
}