Pith Number

pith:J5Z7TJHM

pith:2026:J5Z7TJHM5KIX5WRPBMORWQGOIH

not attested not anchored not stored refs pending

Composition Collapse: Stable Factual Knowledge Does Not Imply Compositional Reasoning

Hongzhi Wang, Jie Chen, Meng Han, Wenpeng Xing, Xuyang Teng, Yunzhao Wei, Zhe Yu

arxiv:2605.26789 v1 · 2026-05-26 · cs.AI

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{J5Z7TJHM5KIX5WRPBMORWQGOIH}

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	2026-05-27T01:06:12.772137Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4f73f9a4ecea917eda2f0b1d1b40ce41d295d63b197c7cdf0d61730a40f57898

Aliases

arxiv: 2605.26789 · arxiv_version: 2605.26789v1 · doi: 10.48550/arxiv.2605.26789 · pith_short_12: J5Z7TJHM5KIX · pith_short_16: J5Z7TJHM5KIX5WRP · pith_short_8: J5Z7TJHM

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/J5Z7TJHM5KIX5WRPBMORWQGOIH \
  | 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: 4f73f9a4ecea917eda2f0b1d1b40ce41d295d63b197c7cdf0d61730a40f57898

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c08badc7933d2977c4be666392ee74cc2279cc6d3d51ee8366bd1de4c2fcad38",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.AI",
    "submitted_at": "2026-05-26T10:01:01Z",
    "title_canon_sha256": "9785614c733db9b39f3562149d4d5b4a56442df162a08fc3d15298fdee1cfa80"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.26789",
    "kind": "arxiv",
    "version": 1
  }
}