Pith Number

pith:PG4HOBAB

pith:2026:PG4HOBAB3W3IVJ5PQGRVBKFNEN

not attested not anchored not stored refs pending

Operads for compositional reasoning in LLMs

Kyle Richardson, Nathaniel Bottman

arxiv:2606.13634 v1 · 2026-06-11 · cs.CL · math.CT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PG4HOBAB3W3IVJ5PQGRVBKFNEN}

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	2026-06-12T01:10:20.210649Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

79b8770401ddb68aa7af81a350a8ad23410a265cc91492c826c8c59cbc75305a

Aliases

arxiv: 2606.13634 · arxiv_version: 2606.13634v1 · doi: 10.48550/arxiv.2606.13634 · pith_short_12: PG4HOBAB3W3I · pith_short_16: PG4HOBAB3W3IVJ5P · pith_short_8: PG4HOBAB

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/PG4HOBAB3W3IVJ5PQGRVBKFNEN \
  | 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: 79b8770401ddb68aa7af81a350a8ad23410a265cc91492c826c8c59cbc75305a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ec20c0e29d8326611113f9d7ee3738ddfdd4187139315060396020ff4b0beef0",
    "cross_cats_sorted": [
      "math.CT"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.CL",
    "submitted_at": "2026-06-11T17:44:15Z",
    "title_canon_sha256": "99a1ad424fe046e3e3dc86812c0ed53b74762b03ad141263b15a9b2beef6c68b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.13634",
    "kind": "arxiv",
    "version": 1
  }
}