pith. sign in
Pith Number

pith:5ZZVXWR4

pith:2012:5ZZVXWR44Z4OAZXZSTISDPYZJA
not attested not anchored not stored refs pending

Learning with multiple representations: An example of a revision lesson in mechanics

Darren Wong, Eng Hock Ng, Loo Kang Wee, Peng Poo Sng

arxiv:1207.0217 v1 · 2012-07-01 · physics.ed-ph · physics.class-ph · physics.comp-ph

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{5ZZVXWR44Z4OAZXZSTISDPYZJA}

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 2026-05-18T02:25:10.723611Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

ee735bda3ce678e066f994d121bf194834e77fee1e2098fb482ea2aa0b187656

Aliases

arxiv: 1207.0217 · arxiv_version: 1207.0217v1 · doi: 10.48550/arxiv.1207.0217 · pith_short_12: 5ZZVXWR44Z4O · pith_short_16: 5ZZVXWR44Z4OAZXZ · pith_short_8: 5ZZVXWR4
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/5ZZVXWR44Z4OAZXZSTISDPYZJA \
  | 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: ee735bda3ce678e066f994d121bf194834e77fee1e2098fb482ea2aa0b187656
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "b8f81909ff9aae04f969df27e55e3c805dd8d8c1df2581ff7263714b26e614fd",
    "cross_cats_sorted": [
      "physics.class-ph",
      "physics.comp-ph"
    ],
    "license": "http://creativecommons.org/licenses/by/3.0/",
    "primary_cat": "physics.ed-ph",
    "submitted_at": "2012-07-01T15:06:44Z",
    "title_canon_sha256": "a3c68c07340f9fd199ca4a046e031d280df30a009d7f048e124d0dcbedbfda5d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1207.0217",
    "kind": "arxiv",
    "version": 1
  }
}