Pith Number

pith:46NGDOY2

pith:2025:46NGDOY2AY35LXII55LMA32URX

not attested not anchored not stored refs pending

SyncLoop: A Multimodal Dual-Loop Framework for Self-Improving Mathematical Reasoning

Hang Xu, Hanhui Li, Jianhua Han, Kui Zhang, Meng Cao, Wentao Hu, Xiaodan Liang, Xiuwei Chen, Yihan Zeng, Yongxin Wang Jun Zhou, Yu-Jie Yuan, Zisheng Chen

arxiv:2507.16518 v3 · 2025-07-22 · cs.CV · cs.CL · 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{46NGDOY2AY35LXII55LMA32URX}

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	2026-06-25T01:17:45.535149Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e79a61bb1a0637d5dd08ef56c06f548dcf13d436778cac5e1c3c8457f12d02a3

Aliases

arxiv: 2507.16518 · arxiv_version: 2507.16518v3 · doi: 10.48550/arxiv.2507.16518 · pith_short_12: 46NGDOY2AY35 · pith_short_16: 46NGDOY2AY35LXII · pith_short_8: 46NGDOY2

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/46NGDOY2AY35LXII55LMA32URX \
  | 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: e79a61bb1a0637d5dd08ef56c06f548dcf13d436778cac5e1c3c8457f12d02a3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a5566c5915a363b46537fd38febceb6299c6f77500deda7df9ee18c76fa86a17",
    "cross_cats_sorted": [
      "cs.CL",
      "cs.LG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.CV",
    "submitted_at": "2025-07-22T12:27:08Z",
    "title_canon_sha256": "eccb6f91164362b42d2c6a36f4390421817a108f9674dd9e9e3609b124df3220"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2507.16518",
    "kind": "arxiv",
    "version": 3
  }
}