Pith Number

pith:CJHWHTBL

pith:2026:CJHWHTBLR72ONCYGGC4EUHSNTZ

not attested not anchored not stored refs pending

H-GRPO: Permutation-Invariant Reinforcement Learning for Grounded Visual Reasoning

Basura Fernando, Debaditya Roy, Eric Peh

arxiv:2606.29915 v1 · 2026-06-29 · cs.CV

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{CJHWHTBLR72ONCYGGC4EUHSNTZ}

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	2026-06-30T02:17:40.807928Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

124f63cc2b8ff4e68b0630b84a1e4d9e57a0eaa5ea1e4e555962812062805df4

Aliases

arxiv: 2606.29915 · arxiv_version: 2606.29915v1 · doi: 10.48550/arxiv.2606.29915 · pith_short_12: CJHWHTBLR72O · pith_short_16: CJHWHTBLR72ONCYG · pith_short_8: CJHWHTBL

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/CJHWHTBLR72ONCYGGC4EUHSNTZ \
  | 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: 124f63cc2b8ff4e68b0630b84a1e4d9e57a0eaa5ea1e4e555962812062805df4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "23cc29a16a87230aaba1f3914b3e42bb33ed43a105734056b59083b6ec5dd012",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.CV",
    "submitted_at": "2026-06-29T07:51:25Z",
    "title_canon_sha256": "25804a93ae1fd782753cb322508b23b9a2d6b6517edecf17e9b707a88ed28f03"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.29915",
    "kind": "arxiv",
    "version": 1
  }
}