Pith Number

pith:QNSAHV2D

pith:2026:QNSAHV2DOYDNQU3YXGRWCPZPNK

not attested not anchored not stored refs pending

Can the Environment Speak for Itself? $T^{2}$-GRPO: A Turn-Trajectory Group Relative Policy Optimization for Caregiver Agents

Amir M. Rahmani, Honghui Xu, Jiang Wu, Nikil Dutt, Pengfei Zhang, Wenjun Huang, Yutong Song

arxiv:2606.08875 v1 · 2026-06-07 · 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{QNSAHV2DOYDNQU3YXGRWCPZPNK}

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	2026-06-09T02:07:44.781334Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

836403d7437606d85378b9a3613f2f6ab194fbe9668b84c932175f1fd88a7ae9

Aliases

arxiv: 2606.08875 · arxiv_version: 2606.08875v1 · doi: 10.48550/arxiv.2606.08875 · pith_short_12: QNSAHV2DOYDN · pith_short_16: QNSAHV2DOYDNQU3Y · pith_short_8: QNSAHV2D

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/QNSAHV2DOYDNQU3YXGRWCPZPNK \
  | 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: 836403d7437606d85378b9a3613f2f6ab194fbe9668b84c932175f1fd88a7ae9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2714a04c71769a27ff5ed62e6e2c4dc556ef149d9c28665481369a88e56c755f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.AI",
    "submitted_at": "2026-06-07T23:04:55Z",
    "title_canon_sha256": "9028dc5c89f22ec4ba65ea7d1d662b3ef7e83419b4a975d29bee72744b661653"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.08875",
    "kind": "arxiv",
    "version": 1
  }
}