Pith Number

pith:6XAH2AHX

pith:2025:6XAH2AHXYI3E6FJVNJQ3MWY3EO

not attested not anchored not stored refs pending

Symbolic or Numerical? Understanding Physics Problem Solving in Reasoning LLMs

Nifu Dan, Yiwei Wang, Yujun Cai

arxiv:2507.01334 v2 · 2025-07-02 · cs.CL

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{6XAH2AHXYI3E6FJVNJQ3MWY3EO}

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	2026-07-05T11:31:29.330406Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f5c07d00f7c2364f15356a61b65b1b23b9a677e2765f5aeb61551dffa54b9f38

Aliases

arxiv: 2507.01334 · arxiv_version: 2507.01334v2 · doi: 10.48550/arxiv.2507.01334 · pith_short_12: 6XAH2AHXYI3E · pith_short_16: 6XAH2AHXYI3E6FJV · pith_short_8: 6XAH2AHX

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/6XAH2AHXYI3E6FJVNJQ3MWY3EO \
  | 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: f5c07d00f7c2364f15356a61b65b1b23b9a677e2765f5aeb61551dffa54b9f38

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "da14e16a53128e6256576328c061ec1f23f4f67849caca9a4737c78698ec7599",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.CL",
    "submitted_at": "2025-07-02T03:51:16Z",
    "title_canon_sha256": "5f397167e78be9f62c9580eb518f4ffd0d8bc2902fd5c528521c0a53d6d0d7ba"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2507.01334",
    "kind": "arxiv",
    "version": 2
  }
}