Pith Number

pith:LJQICMEQ

pith:2026:LJQICMEQGX7H4LAB5CBHWLI2QK

not attested not anchored not stored refs pending

Operadic consistency: a label-free signal for compositional reasoning failures in LLMs

Kyle Richardson, Nathaniel Bottman, Yinhong Liu

arxiv:2606.13649 v1 · 2026-06-11 · cs.CL · 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{LJQICMEQGX7H4LAB5CBHWLI2QK}

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	2026-06-12T01:10:21.042595Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5a6081309035fe7e2c01e8827b2d1a8299ea9e9f0345f26e0b2aa149578af5af

Aliases

arxiv: 2606.13649 · arxiv_version: 2606.13649v1 · doi: 10.48550/arxiv.2606.13649 · pith_short_12: LJQICMEQGX7H · pith_short_16: LJQICMEQGX7H4LAB · pith_short_8: LJQICMEQ

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/LJQICMEQGX7H4LAB5CBHWLI2QK \
  | 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: 5a6081309035fe7e2c01e8827b2d1a8299ea9e9f0345f26e0b2aa149578af5af

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "17bd1cf83e44305255df031a6dafcd909a12e9e9976144d8a9b8594143625424",
    "cross_cats_sorted": [
      "cs.LG"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.CL",
    "submitted_at": "2026-06-11T17:50:40Z",
    "title_canon_sha256": "0a192e16502b0700ea5c1727b5b215530699fc3e2e7fb4f1a9d58838f2b319cc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.13649",
    "kind": "arxiv",
    "version": 1
  }
}