Pith Number

pith:QM6UBLD7

pith:2024:QM6UBLD7APN5HC3JZWPRLGG3NL

not attested not anchored not stored refs pending

Incentivizing supplemental math assignments and using AI-generated hints is associated with improved exam performance

Alexander Kusenko, Elizabeth H. Simmons, K. Supriya, Shanna Shaked, Yifan Lu

arxiv:2412.19961 v2 · 2024-12-28 · physics.ed-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{QM6UBLD7APN5HC3JZWPRLGG3NL}

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	2026-07-05T11:31:04.083923Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

833d40ac7f03dbd38b69cd9f1598db6af7a014e666d63356f5f733b7f4298243

Aliases

arxiv: 2412.19961 · arxiv_version: 2412.19961v2 · doi: 10.48550/arxiv.2412.19961 · pith_short_12: QM6UBLD7APN5 · pith_short_16: QM6UBLD7APN5HC3J · pith_short_8: QM6UBLD7

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/QM6UBLD7APN5HC3JZWPRLGG3NL \
  | 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: 833d40ac7f03dbd38b69cd9f1598db6af7a014e666d63356f5f733b7f4298243

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d6c304425f4b8cecf7ade8affd8f304c0ed99f2750a0ba6fa8a50db475b9d2ea",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "physics.ed-ph",
    "submitted_at": "2024-12-28T00:21:51Z",
    "title_canon_sha256": "602d1c7c26815206674527daed8d6dee6f4d370c8cab3d786bd5f1ddab5df8ee"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2412.19961",
    "kind": "arxiv",
    "version": 2
  }
}