Pith Number

pith:HHK6FSKD

pith:2026:HHK6FSKDO4S55XJB4K5NQ57X6C

not attested not anchored not stored refs pending

CopT: Contrastive On-Policy Thinking with Continuous Spaces for General and Agentic Reasoning

Dachuan Shi, Hanlin Zhu, Kejing Xia, Wanjia Zhao, Wenke Lee, Wen Xiao, Xiangchi Yuan

arxiv:2605.20075 v1 · 2026-05-19 · cs.CL · 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{HHK6FSKDO4S55XJB4K5NQ57X6C}

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	2026-05-20T02:06:01.120725Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

39d5e2c9437725dedd21e2bad877f7f089e0f03fedf39452d648f5a6f94c7c24

Aliases

arxiv: 2605.20075 · arxiv_version: 2605.20075v1 · doi: 10.48550/arxiv.2605.20075 · pith_short_12: HHK6FSKDO4S5 · pith_short_16: HHK6FSKDO4S55XJB · pith_short_8: HHK6FSKD

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/HHK6FSKDO4S55XJB4K5NQ57X6C \
  | 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: 39d5e2c9437725dedd21e2bad877f7f089e0f03fedf39452d648f5a6f94c7c24

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "41f150b0b2b799f53fa2770dc6c4e9d3f8c85f0f87707065714a091c081220ad",
    "cross_cats_sorted": [
      "cs.AI"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.CL",
    "submitted_at": "2026-05-19T16:28:53Z",
    "title_canon_sha256": "738cd4f190d0aa415b974cdd042e9caff4cca1f2408b114afa053836a392423d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.20075",
    "kind": "arxiv",
    "version": 1
  }
}