Pith Number

pith:5D3MM5GK

pith:2026:5D3MM5GKTNHKXTJ46SOO7HW32H

not attested not anchored not stored refs pending

Is Your Model Thinking or Just Stagnating? PUMA: Diagnosing Reasoning Pathology via Phase-Momentum Alignment

Cheng Yan, Fan Xu, Guangyang Ye, Wuyang Zhang, Xiang Xia, Yanyong Zhang, Zhijun Fan

arxiv:2607.17188 v1 · 2026-07-19 · 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{5D3MM5GKTNHKXTJ46SOO7HW32H}

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	2026-07-21T01:21:20.027138Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e8f6c674ca9b4eabcd3cf49cef9edbd1ed7ef7482079793723772379d140ab3a

Aliases

arxiv: 2607.17188 · arxiv_version: 2607.17188v1 · doi: 10.48550/arxiv.2607.17188 · pith_short_12: 5D3MM5GKTNHK · pith_short_16: 5D3MM5GKTNHKXTJ4 · pith_short_8: 5D3MM5GK

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/5D3MM5GKTNHKXTJ46SOO7HW32H \
  | 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: e8f6c674ca9b4eabcd3cf49cef9edbd1ed7ef7482079793723772379d140ab3a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "388326fc68f469fd225fb9cebac35e5bfbfa2b247e5ad8ae20c64bce42f86d89",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.AI",
    "submitted_at": "2026-07-19T11:00:59Z",
    "title_canon_sha256": "f26f857268510bb299bdce16b0c2a5f6f1f4b81bd53412fcd39a6c415085115f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.17188",
    "kind": "arxiv",
    "version": 1
  }
}