pith. sign in
Pith Number

pith:4FLL3VLO

pith:2012:4FLL3VLOAVJQ7OUDOFZPBAVFBV
not attested not anchored not stored refs pending

Understanding Student Computational Thinking with Computational Modeling

Brian D. Thoms, Erin M. Scanlon, John B. Burk, John M. Aiken, Marcos D. Caballero, Michael F. Schatz, Scott S. Douglas

arxiv:1207.1764 v2 · 2012-07-07 · physics.ed-ph

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{4FLL3VLOAVJQ7OUDOFZPBAVFBV}

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 2026-05-18T03:18:51.828486Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

e156bdd56e05530fba837172f082a50d4acf8272bc920da92791711857225bc3

Aliases

arxiv: 1207.1764 · arxiv_version: 1207.1764v2 · doi: 10.48550/arxiv.1207.1764 · pith_short_12: 4FLL3VLOAVJQ · pith_short_16: 4FLL3VLOAVJQ7OUD · pith_short_8: 4FLL3VLO
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/4FLL3VLOAVJQ7OUDOFZPBAVFBV \
  | 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: e156bdd56e05530fba837172f082a50d4acf8272bc920da92791711857225bc3
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "c8295382d658fd6ec2ee8821e1ef313f0a1d2cc67c0a6fbad87a3b5e181b3b51",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.ed-ph",
    "submitted_at": "2012-07-07T06:13:30Z",
    "title_canon_sha256": "a0cc9a8390032c004ba6de9ecd7588e44177387b7c2f203c61b8b949a1a2e515"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1207.1764",
    "kind": "arxiv",
    "version": 2
  }
}