Pith Number

pith:WVQ47OCS

pith:2026:WVQ47OCSDJEWJ7VYTU4NHI7AZM

not attested not anchored not stored refs pending

Practice Less, Explain More: LLM-Supported Self-Explanation Improves Explanation Quality on Transfer Problems in Calculus

Eason Chen, Elizabeth McLaughlin, Jared Cochrane, Jionghao Lin, Ken Koedinger, Meiyi Chen, Meryam Elmir, Mingyu Yuan, Shyam Agarwal, Tongshuang Wu, Xinyi Tang, Yumo Wang, Yvonne Zhao

arxiv:2604.00142 v2 · 2026-03-31 · cs.HC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{WVQ47OCSDJEWJ7VYTU4NHI7AZM}

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	2026-06-02T01:03:46.309946Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b561cfb8521a4964feb89d38d3a3e0cb35f25a51bf77e0fdbabfcc904509b99f

Aliases

arxiv: 2604.00142 · arxiv_version: 2604.00142v2 · doi: 10.48550/arxiv.2604.00142 · pith_short_12: WVQ47OCSDJEW · pith_short_16: WVQ47OCSDJEWJ7VY · pith_short_8: WVQ47OCS

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/WVQ47OCSDJEWJ7VYTU4NHI7AZM \
  | 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: b561cfb8521a4964feb89d38d3a3e0cb35f25a51bf77e0fdbabfcc904509b99f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7d11e51879d6868c102dbe1b50b927c9e4c8f1e9d63398d3eecb3df821d9c814",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.HC",
    "submitted_at": "2026-03-31T18:50:32Z",
    "title_canon_sha256": "2e50336cab09f8204029c2f988c6fd2aff4543aec9091e92b91a5b341c4959ed"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2604.00142",
    "kind": "arxiv",
    "version": 2
  }
}