Pith Number

pith:NC3NA5XP

pith:2025:NC3NA5XPVW4D3CFZ7KEPXKXP2W

not attested not anchored not stored refs pending

Coupled Variational Reinforcement Learning for Language Model General Reasoning

Ben He, Debing Zhang, Hongyu Lin, Jie Lou, Le Sun, Xianpei Han, Xueru Wen, Yanjiang Liu, Yaojie Lu

arxiv:2512.12576 v3 · 2025-12-14 · 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{NC3NA5XPVW4D3CFZ7KEPXKXP2W}

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	2026-05-26T01:02:30.003171Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

68b6d076efadb83d88b9fa88fbaaefd5b18f4a660f3352900c635de8034fcd7d

Aliases

arxiv: 2512.12576 · arxiv_version: 2512.12576v3 · doi: 10.48550/arxiv.2512.12576 · pith_short_12: NC3NA5XPVW4D · pith_short_16: NC3NA5XPVW4D3CFZ · pith_short_8: NC3NA5XP

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/NC3NA5XPVW4D3CFZ7KEPXKXP2W \
  | 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: 68b6d076efadb83d88b9fa88fbaaefd5b18f4a660f3352900c635de8034fcd7d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2165143bef685ff0446864bd246b0ab82e868e8dca3bea0de3a9d2827b5f9570",
    "cross_cats_sorted": [
      "cs.AI"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.CL",
    "submitted_at": "2025-12-14T07:03:51Z",
    "title_canon_sha256": "f703f44e139aea11643ea1a4825af0d37463416942eac8664fcdf71999c4870d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2512.12576",
    "kind": "arxiv",
    "version": 3
  }
}