Pith Number

pith:TEEKKQHC

pith:2015:TEEKKQHCTX6AWX32ZXO7TGGNBG

not attested not anchored not stored refs pending

Students' difficulties with vector calculus in electrodynamics

Laurens Bollen, Mieke De Cock, Paul van Kampen

arxiv:1502.02830 v2 · 2015-02-10 · 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{TEEKKQHCTX6AWX32ZXO7TGGNBG}

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	2026-05-18T01:34:13.085038Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9908a540e29dfc0b5f7acdddf998cd09bb2880e4cd02f4731a2c8bb8c62d11fb

Aliases

arxiv: 1502.02830 · arxiv_version: 1502.02830v2 · doi: 10.48550/arxiv.1502.02830 · pith_short_12: TEEKKQHCTX6A · pith_short_16: TEEKKQHCTX6AWX32 · pith_short_8: TEEKKQHC

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/TEEKKQHCTX6AWX32ZXO7TGGNBG \
  | 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: 9908a540e29dfc0b5f7acdddf998cd09bb2880e4cd02f4731a2c8bb8c62d11fb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "15f74b8ea8eff7851d6fe82cd9f669518f7337983e5589028623f4216bd1c848",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.ed-ph",
    "submitted_at": "2015-02-10T09:57:22Z",
    "title_canon_sha256": "a24ff0de8b2126c5caec6aa5d5eba0decd6594c1a21fba976d0742d494458e6f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1502.02830",
    "kind": "arxiv",
    "version": 2
  }
}