Pith Number

pith:XKJBU3ZM

pith:2015:XKJBU3ZMPDIIFPFRDYMRTIHNDM

not attested not anchored not stored refs pending

Student thinking about the divergence and curl in mathematics and physics contexts

Andrew Pattie, Charles Baily, Laurens Bollen, Mieke De Cock, Paul van Kampen

arxiv:1507.00849 v2 · 2015-07-03 · 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{XKJBU3ZMPDIIFPFRDYMRTIHNDM}

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	2026-05-18T01:32:00.258721Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ba921a6f2c78d082bcb11e1919a0ed1b27e954f8a44ec53b4bacae2eecf57165

Aliases

arxiv: 1507.00849 · arxiv_version: 1507.00849v2 · doi: 10.48550/arxiv.1507.00849 · pith_short_12: XKJBU3ZMPDII · pith_short_16: XKJBU3ZMPDIIFPFR · pith_short_8: XKJBU3ZM

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/XKJBU3ZMPDIIFPFRDYMRTIHNDM \
  | 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: ba921a6f2c78d082bcb11e1919a0ed1b27e954f8a44ec53b4bacae2eecf57165

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6f8d120e46e016d2d271f1356bbb86c74e6ce6aff91bca30395103d14d32dead",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.ed-ph",
    "submitted_at": "2015-07-03T08:42:50Z",
    "title_canon_sha256": "bda55851c59e7e013d640eae863a1b32c1627a5287ad561dd5960742254a07e4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1507.00849",
    "kind": "arxiv",
    "version": 2
  }
}