Pith Number

pith:BEPVCZ7L

pith:2025:BEPVCZ7LO2O65WFQO7MZDWZJWQ

not attested not anchored not stored refs pending

APO: Enhancing Reasoning Ability of MLLMs via Asymmetric Policy Optimization

Minjie Hong, Tao Jin, Yan Xia, Zehan Wang, Zhou Zhao, Ziang Zhang, Zirun Guo

arxiv:2506.21655 v1 · 2025-06-26 · cs.LG · cs.AI · 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{BEPVCZ7LO2O65WFQO7MZDWZJWQ}

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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.

Cited by

4 papers in Pith

Multimodal Continuous Reasoning via Asymmetric Mutual Variational Learning

Right Makes Might: Aligning Verified Hidden States Empowers RL Reasoning

PS-PPO: Prefix-Sampling PPO for Critic-Free RLHF

Latent Visual Reasoning

Receipt and verification

First computed	2026-07-05T11:27:58.225839Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

091f5167eb769deed8b077d991db29b433a11f44f716353fc2096c02affb7cdf

Aliases

arxiv: 2506.21655 · arxiv_version: 2506.21655v1 · doi: 10.48550/arxiv.2506.21655 · pith_short_12: BEPVCZ7LO2O6 · pith_short_16: BEPVCZ7LO2O65WFQ · pith_short_8: BEPVCZ7L

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/BEPVCZ7LO2O65WFQO7MZDWZJWQ \
  | 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: 091f5167eb769deed8b077d991db29b433a11f44f716353fc2096c02affb7cdf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6eb070a45e21fcf9fe2f7a8dc7815a9ff940b9ab2c08e3c6b9e7abcf3df18e9f",
    "cross_cats_sorted": [
      "cs.AI",
      "cs.CV"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2025-06-26T17:57:08Z",
    "title_canon_sha256": "1149fb523bcb42c578ed63a3b877e52fe07d2c25e8df0761cd85d4562b73f06e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2506.21655",
    "kind": "arxiv",
    "version": 1
  }
}