Pith Number

pith:2TYZRMI4

pith:2026:2TYZRMI4LJES2TOM66E2WZEMLQ

not attested not anchored not stored refs pending

Hierarchical Reinforcement Learning for Sparse-Reward Search in Commutative Algebra

Ali Shehper, Coco Huang, David Eisenbud, Davide Passaro, Giorgi Butbaia, Hailong Dao, Lucas Fagan, Michele Tarquini, Paul Orland, Sergei Gukov

arxiv:2606.22922 v1 · 2026-06-22 · cs.LG · cs.AI · math.AC · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{2TYZRMI4LJES2TOM66E2WZEMLQ}

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	2026-06-23T03:14:04.290719Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d4f198b11c5a492d4dccf789ab648c5c03c98422034478bbe5bbe3dce2dd7744

Aliases

arxiv: 2606.22922 · arxiv_version: 2606.22922v1 · doi: 10.48550/arxiv.2606.22922 · pith_short_12: 2TYZRMI4LJES · pith_short_16: 2TYZRMI4LJES2TOM · pith_short_8: 2TYZRMI4

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/2TYZRMI4LJES2TOM66E2WZEMLQ \
  | 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: d4f198b11c5a492d4dccf789ab648c5c03c98422034478bbe5bbe3dce2dd7744

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7acb910b535db5d4a674f91d3966a22f1c404ba1a549cd672ddb48f687d5fb0a",
    "cross_cats_sorted": [
      "cs.AI",
      "math.AC",
      "math.CO"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2026-06-22T07:02:08Z",
    "title_canon_sha256": "ba4820b5c63984cdfeae2607c62bd1b3aff53a9788e82a681ba43cd47d48f527"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.22922",
    "kind": "arxiv",
    "version": 1
  }
}