Pith Number

pith:XJYMM5JA

pith:2026:XJYMM5JA7YTZ7ZERD7SMHTUO37

not attested not anchored not stored refs pending

Beyond Geometric Complementarity: Coherent Overlap in Sparse Mixture-of-Experts Routing

Bonan Xu, Huiyuan Tian, Shijian Li

arxiv:2607.28308 v1 · 2026-07-30 · 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{XJYMM5JA7YTZ7ZERD7SMHTUO37}

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	2026-07-31T01:37:11.927822Z
Builder	pith-number-builder-2026-05-17-v1
Signature	unsigned_v0
Schema	pith-number/v1.0

Canonical hash

ba70c67520fe279fe4911fe4c3ce8edff211263f4e5e8c7db4ad4b423a2f8727

Aliases

arxiv: 2607.28308 · arxiv_version: 2607.28308v1 · doi: 10.48550/arxiv.2607.28308 · pith_short_12: XJYMM5JA7YTZ · pith_short_16: XJYMM5JA7YTZ7ZER · pith_short_8: XJYMM5JA

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/XJYMM5JA7YTZ7ZERD7SMHTUO37 \
  | 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: ba70c67520fe279fe4911fe4c3ce8edff211263f4e5e8c7db4ad4b423a2f8727

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "44513431da257e2b72df7b388803abe163b175444ab2e256d4e314b072a56353",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2026-07-30T14:45:39Z",
    "title_canon_sha256": "2a14f953a35645bddc67166f194865f09c9faf997d7991fe4a3651b5e7880119"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.28308",
    "kind": "arxiv",
    "version": 1
  }
}