Pith Number

pith:DWZ5RXX7

pith:2026:DWZ5RXX7IBBOI7DTPFXBPG5KNC

not attested not anchored not stored refs pending

GEOALIGN: Geometric Rollout Curation for Robust LLM Reinforcement Learning

Daoyuan Chen, Ting Zhou, Ying Shen, Yiyang Zhao, Zhenqing Ling

arxiv:2606.26917 v1 · 2026-06-25 · cs.LG · 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{DWZ5RXX7IBBOI7DTPFXBPG5KNC}

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	2026-06-26T01:16:04.062247Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1db3d8deff4042e47c73796e179baa688aa1bb26c65547854a53470796fc753a

Aliases

arxiv: 2606.26917 · arxiv_version: 2606.26917v1 · doi: 10.48550/arxiv.2606.26917 · pith_short_12: DWZ5RXX7IBBO · pith_short_16: DWZ5RXX7IBBOI7DT · pith_short_8: DWZ5RXX7

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/DWZ5RXX7IBBOI7DTPFXBPG5KNC \
  | 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: 1db3d8deff4042e47c73796e179baa688aa1bb26c65547854a53470796fc753a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "23d18fc6b26fb0b31b138e7b6bf9a9ae1af496f2cc2c0ed03387abea348863d4",
    "cross_cats_sorted": [
      "cs.AI"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2026-06-25T11:53:37Z",
    "title_canon_sha256": "4f3c4e146723d17c4ecbb29a6d3a4e37bace3a6afcbbb971750fcfa6e9e6169a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.26917",
    "kind": "arxiv",
    "version": 1
  }
}