Pith Number

pith:YEARNEYO

pith:2026:YEARNEYO5GB67UV6GCCJHHABEA

not attested not anchored not stored refs pending

On the Policy Gradient Foundations of Group Relative Policy Optimization: Credit Assignment, Gradient Sparsity, and Rank Collapse

Amritansh Mishra, Berkcan Kapusuzoglu, Supriyo Chakraborty

arxiv:2606.29238 v1 · 2026-06-28 · cs.LG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{YEARNEYO5GB67UV6GCCJHHABEA}

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	2026-06-30T01:17:58.525942Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c10116930ee983efd2be3084939c01202fd5e7de134b1b7a1179abfdc94121ff

Aliases

arxiv: 2606.29238 · arxiv_version: 2606.29238v1 · doi: 10.48550/arxiv.2606.29238 · pith_short_12: YEARNEYO5GB6 · pith_short_16: YEARNEYO5GB67UV6 · pith_short_8: YEARNEYO

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/YEARNEYO5GB67UV6GCCJHHABEA \
  | 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: c10116930ee983efd2be3084939c01202fd5e7de134b1b7a1179abfdc94121ff

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "59e93e92fa3b2002c6220795978e1fc2afe0cb455d1b493cfec60b0cfa932f3b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2026-06-28T06:51:45Z",
    "title_canon_sha256": "3140bf8c7d3db3ea825b157a62aaa5d31638303a99b7193f4498e9f8603775df"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.29238",
    "kind": "arxiv",
    "version": 1
  }
}