pith. sign in
Pith Number

pith:D4PZBZPB

pith:2013:D4PZBZPB7F2DFCSSWEKA76XU6H
not attested not anchored not stored refs pending

What Should be the Role of Field Energy in Introductory Physics Courses?

Robert Hilborn

arxiv:1305.1220 v1 · 2013-05-06 · physics.ed-ph · physics.class-ph

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{D4PZBZPB7F2DFCSSWEKA76XU6H}

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 2026-05-18T02:40:18.779963Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

1f1f90e5e1f974328a52b1140ffaf4f1f02796043a6bb376708289abb7fb3533

Aliases

arxiv: 1305.1220 · arxiv_version: 1305.1220v1 · doi: 10.48550/arxiv.1305.1220 · pith_short_12: D4PZBZPB7F2D · pith_short_16: D4PZBZPB7F2DFCSS · pith_short_8: D4PZBZPB
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/D4PZBZPB7F2DFCSSWEKA76XU6H \
  | 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: 1f1f90e5e1f974328a52b1140ffaf4f1f02796043a6bb376708289abb7fb3533
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "04af325f0ad781ff9e55894d316bb9005c355b6dab977e6312f277f16c3550f4",
    "cross_cats_sorted": [
      "physics.class-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.ed-ph",
    "submitted_at": "2013-05-06T15:26:09Z",
    "title_canon_sha256": "720e2ad0115ca3560b898b12e418ee8cd3c9dddc143b6f46385df5d7a1e700c1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1305.1220",
    "kind": "arxiv",
    "version": 1
  }
}