Pith Number

pith:TIB4MVMR

pith:2026:TIB4MVMREAY4M3TO5NP4DCAPBN

not attested not anchored not stored refs pending

A Minimal Bifurcation Model of Load Imbalance in a Softmax Mixture-of-Experts Router

Innopolis, O. M. Kiselev (Innopolis University, Russia)

arxiv:2605.29121 v1 · 2026-05-27 · math.DS · cs.AI · cs.LG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TIB4MVMREAY4M3TO5NP4DCAPBN}

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	2026-05-29T01:05:19.317913Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9a03c655912031c66e6eeb5fc1880f0b52f92dbca6351d8ae267331036dea2a6

Aliases

arxiv: 2605.29121 · arxiv_version: 2605.29121v1 · doi: 10.48550/arxiv.2605.29121 · pith_short_12: TIB4MVMREAY4 · pith_short_16: TIB4MVMREAY4M3TO · pith_short_8: TIB4MVMR

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/TIB4MVMREAY4M3TO5NP4DCAPBN \
  | 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: 9a03c655912031c66e6eeb5fc1880f0b52f92dbca6351d8ae267331036dea2a6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "88e057ea0474d4816d62602ff7c3019238e83a5d891bbde3c8435ba1ea22caf1",
    "cross_cats_sorted": [
      "cs.AI",
      "cs.LG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2026-05-27T21:29:30Z",
    "title_canon_sha256": "fbaa843b49c1f72b0afd65a1eedcd3cfeef09f7492a4c7652249f612992004f2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.29121",
    "kind": "arxiv",
    "version": 1
  }
}