Pith Number

pith:R2IL3SRU

pith:2026:R2IL3SRUGN3XZOT6BP7LHE4MGX

not attested not anchored not stored refs pending

Verifiable Environments Are LEGO Bricks: Recursive Composition for Reasoning Generalization

Ben He, Bowen Yu, Dayiheng Liu, Hao Xiang, Hongyu Lin, Le Sun, Le Yu, Peng Wang, Qiaoyu Tang, Xianpei Han, Yaojie Lu

arxiv:2606.12373 v1 · 2026-06-10 · cs.CL

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{R2IL3SRUGN3XZOT6BP7LHE4MGX}

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	2026-06-11T02:09:49.017586Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8e90bdca3433777cba7e0bfeb3938c35e27e04767ff5de30bbab0ec0f7e12ab2

Aliases

arxiv: 2606.12373 · arxiv_version: 2606.12373v1 · doi: 10.48550/arxiv.2606.12373 · pith_short_12: R2IL3SRUGN3X · pith_short_16: R2IL3SRUGN3XZOT6 · pith_short_8: R2IL3SRU

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/R2IL3SRUGN3XZOT6BP7LHE4MGX \
  | 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: 8e90bdca3433777cba7e0bfeb3938c35e27e04767ff5de30bbab0ec0f7e12ab2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ba9a3a82f4be313906dd81c9dec4744bec298ea17f6efa413ad727c788b11ad2",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.CL",
    "submitted_at": "2026-06-10T17:39:41Z",
    "title_canon_sha256": "a7e0e4815e46b19e52553cb274b2045b80c4e061e5b096738744b810fec9426b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.12373",
    "kind": "arxiv",
    "version": 1
  }
}