Pith Number

pith:ME4AXOJV

pith:2026:ME4AXOJVGV7G6OGY4LAEIAKI5Z

not attested not anchored not stored refs pending

When Does Combining Language Models Help? A Co-Failure Ceiling on Routing, Voting, and Mixture-of-Agents Across 67 Frontier Models

Josef Chen

arxiv:2606.27288 v1 · 2026-06-25 · 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{ME4AXOJVGV7G6OGY4LAEIAKI5Z}

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	2026-06-26T01:16:17.652822Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

61380bb935357e6f38d8e2c0440148ee40ae6c4d1c295a9562d8fa8230c21a1d

Aliases

arxiv: 2606.27288 · arxiv_version: 2606.27288v1 · doi: 10.48550/arxiv.2606.27288 · pith_short_12: ME4AXOJVGV7G · pith_short_16: ME4AXOJVGV7G6OGY · pith_short_8: ME4AXOJV

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/ME4AXOJVGV7G6OGY4LAEIAKI5Z \
  | 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: 61380bb935357e6f38d8e2c0440148ee40ae6c4d1c295a9562d8fa8230c21a1d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4633d62c34df1ba1e0114aece1789a1257185761127a9a995325643ee4bf14b8",
    "cross_cats_sorted": [
      "cs.LG"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.AI",
    "submitted_at": "2026-06-25T17:06:06Z",
    "title_canon_sha256": "41d587b8bbb3d8a0ad5c7d1cc67eb8074b95746df00aba917322abd7364fe2bf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.27288",
    "kind": "arxiv",
    "version": 1
  }
}